fix: correct GPT-5 API parameters and surface actual grading errors

Two critical fixes for worksheet grading:

1. **Fix OpenAI Responses API parameters**
   - Move `verbosity` from top-level to `text.verbosity`
   - API was rejecting requests with 400 error
   - Confirmed against GPT-5 Responses API documentation

2. **Surface actual grading errors in UI**
   - Add `error_message` column to worksheet_attempts table
   - Store actual API/grading errors in database
   - Display real error messages instead of generic "too blurry" text
   - Users now see OpenAI API errors, validation failures, etc.

Changes:
- Updated gradeWorksheet.ts API call structure
- Created migration 0020 for error_message column
- Updated processAttempt.ts to save error messages
- Updated API route to return errorMessage field
- Updated results page to display actual errors

Now when grading fails, users see helpful error messages like:
"Unsupported parameter: 'verbosity'..." instead of just "too blurry"

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>
This commit is contained in:
Thomas Hallock
2025-11-10 06:12:10 -06:00
parent 6a1667404f
commit 2d33f35c4d
44 changed files with 19403 additions and 13387 deletions

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"Bash(npm run type-check:*)",
"Bash(git stash:*)",
"Bash(git pull:*)",
"Bash(git checkout:*)"
"Bash(git checkout:*)",
"Bash(pnpm remove:*)",
"Bash(git rm:*)",
"WebSearch",
"WebFetch(domain:platform.openai.com)",
"Bash(git rev-parse:*)",
"Bash(npx drizzle-kit:*)",
"Bash(npm run db:migrate:*)"
],
"deny": [],
"ask": []

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-- Custom SQL migration file, put your code below! --
CREATE TABLE `worksheet_mastery` (`id` text PRIMARY KEY NOT NULL, `user_id` text NOT NULL, `skill_id` text NOT NULL, `is_mastered` integer DEFAULT 0 NOT NULL, `total_attempts` integer DEFAULT 0 NOT NULL, `correct_attempts` integer DEFAULT 0 NOT NULL, `last_accuracy` real, `first_attempt_at` integer, `mastered_at` integer, `last_practiced_at` integer NOT NULL, `updated_at` integer NOT NULL, `created_at` integer NOT NULL, FOREIGN KEY (`user_id`) REFERENCES `users`(`id`) ON UPDATE no action ON DELETE cascade);
--> statement-breakpoint
CREATE INDEX `worksheet_mastery_user_skill_idx` ON `worksheet_mastery` (`user_id`, `skill_id`);

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-- Custom SQL migration file for worksheet attempts and problem attempts tables
CREATE TABLE `worksheet_attempts` (`id` text PRIMARY KEY NOT NULL, `user_id` text NOT NULL, `uploaded_image_url` text NOT NULL, `worksheet_id` text, `operator` text NOT NULL, `digit_count` integer NOT NULL, `problem_count` integer NOT NULL, `grading_status` text DEFAULT 'pending' NOT NULL, `graded_at` integer, `total_problems` integer, `correct_count` integer, `accuracy` real, `error_patterns` text, `suggested_step_id` text, `ai_feedback` text, `ai_response_raw` text, `created_at` integer NOT NULL, `updated_at` integer NOT NULL, FOREIGN KEY (`user_id`) REFERENCES `users`(`id`) ON UPDATE no action ON DELETE cascade);
--> statement-breakpoint
CREATE TABLE `problem_attempts` (`id` text PRIMARY KEY NOT NULL, `attempt_id` text NOT NULL, `user_id` text NOT NULL, `problem_index` integer NOT NULL, `operand_a` integer NOT NULL, `operand_b` integer NOT NULL, `operator` text NOT NULL, `correct_answer` integer NOT NULL, `student_answer` integer, `student_work_digits` text, `is_correct` integer NOT NULL, `error_type` text, `digit_count` integer NOT NULL, `requires_regrouping` integer NOT NULL, `regroups_in_places` text, `created_at` integer NOT NULL, FOREIGN KEY (`attempt_id`) REFERENCES `worksheet_attempts`(`id`) ON UPDATE no action ON DELETE cascade, FOREIGN KEY (`user_id`) REFERENCES `users`(`id`) ON UPDATE no action ON DELETE cascade);
--> statement-breakpoint
CREATE INDEX `worksheet_attempts_user_idx` ON `worksheet_attempts` (`user_id`);
--> statement-breakpoint
CREATE INDEX `worksheet_attempts_status_idx` ON `worksheet_attempts` (`grading_status`);
--> statement-breakpoint
CREATE INDEX `problem_attempts_attempt_idx` ON `problem_attempts` (`attempt_id`);
--> statement-breakpoint
CREATE INDEX `problem_attempts_user_idx` ON `problem_attempts` (`user_id`);
--> statement-breakpoint
CREATE INDEX `problem_attempts_type_idx` ON `problem_attempts` (`user_id`, `digit_count`, `requires_regrouping`);

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-- Custom SQL migration file, put your code below! --
-- Add error_message column to worksheet_attempts for storing grading failure details
ALTER TABLE `worksheet_attempts` ADD `error_message` text;

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@@ -141,6 +141,13 @@
"when": 1762744536759,
"tag": "0019_broad_vance_astro",
"breakpoints": true
},
{
"idx": 20,
"version": "6",
"when": 1762776068979,
"tag": "0020_supreme_saracen",
"breakpoints": true
}
]
}
}

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@@ -38,6 +38,7 @@ export async function GET(request: NextRequest, { params }: { params: { attemptI
status: attempt.gradingStatus,
uploadedAt: attempt.createdAt,
gradedAt: attempt.gradedAt,
errorMessage: attempt.errorMessage,
// Results summary
totalProblems: attempt.totalProblems,

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import { and, eq } from 'drizzle-orm'
import { type NextRequest, NextResponse } from 'next/server'
import type { SkillId } from '@/app/create/worksheets/addition/skills'
import { db, schema } from '@/db'
import { getViewerId } from '@/lib/viewer'
/**
* GET /api/worksheets/mastery?operator=addition
* Load user's mastery states for all skills
*
* Query params:
* - operator: 'addition' | 'subtraction'
*
* Returns:
* - masteryStates: Array of mastery records
* - skillCount: Total number of skills tracked
*/
export async function GET(req: NextRequest) {
try {
const viewerId = await getViewerId()
const { searchParams } = new URL(req.url)
const operator = searchParams.get('operator')
if (!operator) {
return NextResponse.json({ error: 'Missing operator parameter' }, { status: 400 })
}
if (operator !== 'addition' && operator !== 'subtraction') {
return NextResponse.json({ error: `Invalid operator: ${operator}` }, { status: 400 })
}
// Fetch all mastery records for this user
// Note: We don't filter by operator here because skill IDs are already namespaced
// (e.g., "sd-no-regroup" for addition, "sd-sub-no-borrow" for subtraction)
const masteryRecords = await db
.select()
.from(schema.worksheetMastery)
.where(eq(schema.worksheetMastery.userId, viewerId))
return NextResponse.json({
masteryStates: masteryRecords,
skillCount: masteryRecords.length,
})
} catch (error: any) {
console.error('Failed to load mastery states:', error)
return NextResponse.json({ error: 'Failed to load mastery states' }, { status: 500 })
}
}
/**
* POST /api/worksheets/mastery
* Update mastery state for a skill
*
* Body:
* - skillId: string (e.g., "td-ones-regroup")
* - isMastered: boolean
* - totalAttempts?: number (optional)
* - correctAttempts?: number (optional)
* - lastAccuracy?: number (optional, 0.0-1.0)
*
* Returns:
* - success: boolean
* - masteryState: Updated mastery record
*/
export async function POST(req: NextRequest) {
try {
const viewerId = await getViewerId()
const body = await req.json()
const { skillId, isMastered, totalAttempts, correctAttempts, lastAccuracy } = body
if (!skillId) {
return NextResponse.json({ error: 'Missing skillId field' }, { status: 400 })
}
if (typeof isMastered !== 'boolean') {
return NextResponse.json(
{ error: 'Missing or invalid isMastered field (must be boolean)' },
{ status: 400 }
)
}
// Check if user already has mastery record for this skill
const [existing] = await db
.select()
.from(schema.worksheetMastery)
.where(
and(
eq(schema.worksheetMastery.userId, viewerId),
eq(schema.worksheetMastery.skillId, skillId)
)
)
.limit(1)
const now = new Date()
if (existing) {
// Update existing record
const updated = {
isMastered,
totalAttempts: totalAttempts !== undefined ? totalAttempts : existing.totalAttempts,
correctAttempts: correctAttempts !== undefined ? correctAttempts : existing.correctAttempts,
lastAccuracy: lastAccuracy !== undefined ? lastAccuracy : existing.lastAccuracy,
masteredAt: isMastered ? existing.masteredAt || now : null, // Set mastered timestamp on first mastery
lastPracticedAt: now,
updatedAt: now,
}
await db
.update(schema.worksheetMastery)
.set(updated)
.where(eq(schema.worksheetMastery.id, existing.id))
return NextResponse.json({
success: true,
masteryState: {
...existing,
...updated,
},
})
} else {
// Insert new record
const id = crypto.randomUUID()
const newRecord = {
id,
userId: viewerId,
skillId: skillId as SkillId,
isMastered,
totalAttempts: totalAttempts || 0,
correctAttempts: correctAttempts || 0,
lastAccuracy: lastAccuracy || null,
firstAttemptAt: now,
masteredAt: isMastered ? now : null,
lastPracticedAt: now,
createdAt: now,
updatedAt: now,
}
await db.insert(schema.worksheetMastery).values(newRecord)
return NextResponse.json({
success: true,
masteryState: newRecord,
})
}
} catch (error: any) {
console.error('Failed to update mastery state:', error)
return NextResponse.json({ error: 'Failed to update mastery state' }, { status: 500 })
}
}

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# AI-Powered Worksheet Grading - Executive Summary
## The Vision
Teachers upload photos of students' completed worksheets. AI grades them automatically, identifies error patterns, and updates each student's mastery profile. The system then recommends targeted practice areas.
## User Flow
```
1. Teacher prints worksheet from our generator
2. Student completes worksheet by hand
3. Teacher takes photo with phone/tablet
4. Teacher uploads photo → AI grades in ~30 seconds
5. Teacher sees results:
- Score (17/20 = 85%)
- Problem-by-problem breakdown with corrections
- Error pattern analysis: "Student struggles with carrying in tens place"
- Recommended next step in progression path
6. Student's mastery profile auto-updates
7. System suggests targeted worksheet focusing on weak areas
```
## Key Benefits
### For Teachers
- **No manual grading** - AI handles it automatically
- **Instant insights** - See exactly where students struggle
- **Targeted practice** - Auto-generate worksheets for weak areas
- **Progress tracking** - Visual mastery progress over time
### For Students
- **Personalized learning** - Practice problems target their specific needs
- **Clear progression** - See mastery growth with visual feedback
- **Encouragement** - AI provides positive, constructive feedback
## Technical Architecture
### Database (Already Built!)
- `worksheet_attempts` - Stores uploaded worksheets and grading results
- `problem_attempts` - Tracks each individual problem result
- Existing `worksheet_mastery` - Updates based on grading
### API Flow
```
POST /api/worksheets/upload
→ Store image
→ Queue for OCR processing
→ Return attemptId
Background job:
→ Extract text with Google Vision API ($1.50 per 1,000 images)
→ Parse problems and answers
→ Grade with Claude AI ($0.001-0.003 per worksheet)
→ Store results
→ Update mastery profile
GET /api/worksheets/attempts/:attemptId
→ Return grading results
→ Include AI feedback and recommendations
```
### UI Components
1. **Upload Modal** - Drag & drop or camera upload
2. **Processing View** - "AI is grading your work..."
3. **Results Page** - Score, corrections, feedback, next steps
4. **Dashboard** - Recent attempts, progress charts
## Cost Estimates
### Per 1,000 Worksheets Graded:
- **OCR (Google Vision)**: ~$1.50
- **AI Grading (Claude Haiku)**: ~$1-3
- **Storage (images)**: ~$0.15
- **Total**: ~$3-5 per 1,000 worksheets
### Monthly for 100 Students:
- ~10 worksheets/student/month = 1,000 worksheets
- **Total cost**: ~$3-5/month for all students
**This is incredibly cheap for automated grading!**
## Implementation Phases
### Phase 1: MVP (2-3 weeks)
- ✅ Database schema (DONE!)
- Upload API with local file storage
- Google Vision OCR integration
- Claude AI grading
- Basic results view
### Phase 2: Polish (1 week)
- Enhanced UI/UX
- Progress visualization
- Targeted worksheet generation
- Teacher dashboard
### Phase 3: Scale (1 week)
- Move to cloud storage (Cloudflare R2)
- Optimize OCR accuracy
- Batch processing for classes
- Parent/teacher reporting
## Technical Decisions
### OCR Service: Google Vision API
**Why**:
- Industry-leading accuracy
- Handles handwritten text well
- Reasonable pricing
- Simple API
**Alternative**: Azure Computer Vision (similar quality/price)
### AI Grading: Claude (Anthropic)
**Why**:
- Excellent at analyzing patterns
- Provides constructive feedback
- Lower cost than GPT-4
- We already use it elsewhere
### File Storage: Start Local, Move to R2
**Why**:
- Local storage for MVP (faster development)
- Cloudflare R2 for production (cheap, fast)
- Easy migration path
## What Could Go Wrong
### OCR Accuracy Issues
- **Problem**: Messy handwriting hard to read
- **Solution**: Allow teacher to correct OCR results manually
- **Mitigation**: Mark uncertain problems, show confidence scores
### AI Grading Mistakes
- **Problem**: AI might misinterpret student's work
- **Solution**: Teacher can override AI grading
- **Mitigation**: Show AI reasoning, allow feedback
### Cost Overruns
- **Problem**: High usage could increase costs
- **Solution**: Set usage limits per account
- **Mitigation**: Cache OCR results, batch processing
## Success Metrics
### MVP Success (Phase 1):
- ✅ 90%+ OCR accuracy on printed worksheets
- ✅ 85%+ grading accuracy vs teacher grading
- ✅ <60 seconds average processing time
- ✅ Teachers report time savings
### Long-term Success:
- Students show measurable improvement in weak areas
- Teachers use targeted recommendations regularly
- High satisfaction scores from teachers
- Low manual correction rate (<10%)
## Why This Is Valuable
### Current Reality:
- Teachers spend hours grading worksheets manually
- Hard to track individual student progress over time
- Difficult to identify specific error patterns
- One-size-fits-all practice doesn't help struggling students
### With AI Grading:
- Instant grading, zero teacher time
- Automatic mastery tracking per student
- AI identifies: "This student forgets to carry in tens place"
- Targeted worksheets focus practice where needed most
**This transforms worksheets from static practice to adaptive learning.**
## Next Steps to Start Implementation
1. **Confirm approach** - Teacher uploads paper worksheets (not interactive digital)
2. **Set up Google Vision API** - Get API key, test with sample worksheets
3. **Build upload API** - File handling, storage, queue management
4. **Integrate Claude grading** - Prompt engineering for accurate analysis
5. **Build UI** - Upload modal, results view
6. **Test with real worksheets** - Tune OCR and AI prompts
7. **Launch MVP** - Start with small group of teachers
## Timeline
- **Week 1**: Upload API + OCR integration
- **Week 2**: AI grading + results storage
- **Week 3**: UI components + testing
- **Week 4**: Polish + teacher beta testing
**Ready to start in 4 weeks from kickoff.**
## Open Questions
1. **Photo quality requirements?**
- Minimum resolution? (Recommend: 1920×1080)
- Lighting requirements?
- Multiple pages per upload?
2. **Teacher workflow?**
- Upload one worksheet at a time or batch?
- Mobile-first or desktop?
- Real-time grading or async queue?
3. **Grading tolerance?**
- How strict on handwriting (6 vs 0)?
- Accept alternative methods (different carrying notation)?
- Partial credit for showing work?
4. **Privacy/security?**
- Student names on worksheets?
- Image retention policy?
- FERPA compliance?
## Recommendation
**START WITH MVP**: Build upload → OCR → AI grading → results view.
Get it working with 90% accuracy, then iterate based on teacher feedback. This is a game-changing feature that will make the worksheet generator incredibly valuable for teachers.
**Estimated development time**: 3-4 weeks for working MVP.
**Estimated cost**: ~$3-5 per 1,000 worksheets graded (negligible for most use cases).
**Value**: Massive time savings for teachers + personalized learning for students.

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# Mastery Dependencies & Auto-Advance System
## Auto-Advance Behavior (Question 2)
### When User Marks Skill as Mastered
**Two possible behaviors:**
#### Option A: Stay on Current Skill (Conservative)
```
User marks "td-ones-regroup" as mastered
Update mastery state in database
UI updates (checkmark, "Mastered on [date]")
Worksheet generator STILL uses "td-ones-regroup" as current skill
User must manually click "Practice This" on next skill OR click "Next Skill" button
```
**Pros:**
- User has explicit control
- Can generate multiple worksheets at newly-mastered skill level
- Good for teachers who want to verify mastery with multiple worksheets
**Cons:**
- Requires extra click to advance
- Less "guided" experience
#### Option B: Auto-Advance with Confirmation (Recommended)
```
User marks "td-ones-regroup" as mastered
Update mastery state in database
Show confirmation toast:
"✓ Two-digit ones regrouping marked as mastered!
Moving to: Two-digit mixed regrouping
[Undo] [Stay Here]"
After 5 seconds (or immediate if user dismisses):
Update current skill to "td-mixed-regroup"
Regenerate preview with new skill
```
**Pros:**
- Smooth guided progression
- User can undo or stay if needed
- Encourages continuous learning
**Cons:**
- Might surprise users who want to stay
#### **Recommended Implementation: Option B with Persistent "Stay Here" Option**
```typescript
interface MasteryConfirmationToast {
type: "mastery-advance";
previousSkill: SkillDefinition;
nextSkill: SkillDefinition;
actions: [
{ label: "Undo Mastery", action: "undo" },
{ label: "Stay Here", action: "stay" },
// Auto-advance after 5s if no action
];
}
```
**UI Flow:**
1. User clicks "Mark as Mastered" on skill
2. Toast appears at top of screen:
```
┌──────────────────────────────────────────────────────────┐
│ ✓ Two-digit ones regrouping marked as mastered! │
│ → Moving to: Two-digit mixed regrouping in 5s... │
│ │
│ [Undo Mastery] [Stay Here] [×] │
└──────────────────────────────────────────────────────────┘
```
3. Options:
- **Do nothing**: Auto-advance after 5s
- **Click "Undo Mastery"**: Revert mastery state, stay on current skill
- **Click "Stay Here"**: Keep mastery state, stay on current skill (generate more practice worksheets)
- **Click ×**: Dismiss and auto-advance immediately
4. After advancing:
- Regenerate preview with new current skill
- Show new mix breakdown
- Update "All Skills" modal view
---
## Mastery Dependency Graph (Civilization-style Tech Tree)
### Concept: Skill Prerequisites as DAG (Directed Acyclic Graph)
Like Civilization's tech tree, skills have **dependencies** that must be mastered first. Some skills have **multiple paths** to unlock them.
### Dependency Structure
```typescript
export interface SkillDefinition {
id: SkillId;
name: string;
// ... other fields ...
// Prerequisites: Skills that MUST be mastered first
prerequisites: SkillId[];
// Recommended review: Skills that should appear in review mix when practicing this skill
// (subset of prerequisites + related skills)
recommendedReview: SkillId[];
}
```
### Example Dependency Graph (Addition)
```
Legend:
→ Direct prerequisite
⇢ Recommended review (not required)
Single-Digit Skills
┌─────────────────────┐
│ sd-no-regroup │
│ (3+5, 2+4) │
└──────────┬──────────┘
┌─────────────────────┐
│ sd-simple-regroup │
│ (7+8, 9+6) │
└──────────┬──────────┘
Two-Digit Skills
┌─────────────────────┐
│ td-no-regroup │──────┐
│ (23+45, 31+28) │ │
└──────────┬──────────┘ │
│ │
↓ ↓
┌─────────────────────┐ ┌─────────────────────┐
│ td-ones-regroup │ │ td-tens-only │
│ (38+27, 49+15) │ │ (50+70, 30+80) │ (optional alt path)
└──────────┬──────────┘ └──────────┬──────────┘
│ │
└──────────┬──────────────┘
┌─────────────────────┐
│ td-mixed-regroup │
│ (67+58, 84+73) │
└──────────┬──────────┘
┌─────────────────────┐
│ td-full-regroup │
│ (88+99, 76+67) │
└──────────┬──────────┘
Three-Digit Skills
┌─────────────────────┐
│ 3d-no-regroup │
│ (234+451) │
└──────────┬──────────┘
┌─────────────────────┐
│ 3d-simple-regroup │──────┐
│ (367+258) │ │
└──────────┬──────────┘ │
│ │
└──────────┬──────┘
┌─────────────────────┐
│ 3d-full-regroup │
│ (888+999) │
└──────────┬──────────┘
Four/Five-Digit Skills
┌─────────────────────┐
│ 4d-mastery │
│ (3847+2956) │
└──────────┬──────────┘
┌─────────────────────┐
│ 5d-mastery │
│ (38472+29563) │
└─────────────────────┘
```
### Detailed Dependencies Definition
```typescript
export const SKILL_DEPENDENCIES: Record<SkillId, {
prerequisites: SkillId[];
recommendedReview: SkillId[];
}> = {
// Single-digit
"sd-no-regroup": {
prerequisites: [],
recommendedReview: [],
},
"sd-simple-regroup": {
prerequisites: ["sd-no-regroup"],
recommendedReview: ["sd-no-regroup"],
},
// Two-digit
"td-no-regroup": {
prerequisites: ["sd-simple-regroup"],
recommendedReview: ["sd-simple-regroup"], // Still practice single-digit
},
"td-ones-regroup": {
prerequisites: ["td-no-regroup"],
recommendedReview: ["sd-simple-regroup", "td-no-regroup"], // Related: sd regrouping + td alignment
},
"td-mixed-regroup": {
prerequisites: ["td-ones-regroup"],
recommendedReview: ["td-no-regroup", "td-ones-regroup"], // Focus on recent prerequisites
},
"td-full-regroup": {
prerequisites: ["td-mixed-regroup"],
recommendedReview: ["td-ones-regroup", "td-mixed-regroup"], // Most recent skills
},
// Three-digit
"3d-no-regroup": {
prerequisites: ["td-full-regroup"], // Must master 2-digit completely first
recommendedReview: ["td-mixed-regroup", "td-full-regroup"], // Keep 2-digit sharp
},
"3d-simple-regroup": {
prerequisites: ["3d-no-regroup"],
recommendedReview: ["td-full-regroup", "3d-no-regroup"], // Mix 2-digit and 3-digit
},
"3d-full-regroup": {
prerequisites: ["3d-simple-regroup"],
recommendedReview: ["3d-no-regroup", "3d-simple-regroup"], // Recent 3-digit only
},
// Four/five-digit
"4d-mastery": {
prerequisites: ["3d-full-regroup"],
recommendedReview: ["3d-simple-regroup", "3d-full-regroup"], // Keep 3-digit fresh
},
"5d-mastery": {
prerequisites: ["4d-mastery"],
recommendedReview: ["3d-full-regroup", "4d-mastery"], // High-level review only
},
// Subtraction follows similar pattern...
};
```
---
## Review Selection Algorithm: "Recently Mastered" Strategy
### Definition of "Recently Mastered"
**Recency window**: Skills mastered in the last N days, where N depends on skill level:
- Early skills (sd-*, td-no-regroup): 30 days
- Intermediate skills (td-*): 21 days
- Advanced skills (3d-*, 4d-*): 14 days
- Expert skills (5d-*): 7 days
**Rationale**: As students progress, they need tighter review cycles to maintain proficiency at higher levels.
### Selection Algorithm
```typescript
/**
* Select review skills based on recency and recommended review list
*/
function selectReviewSkills(
currentSkill: SkillDefinition,
masteryStates: Map<SkillId, MasteryState>,
currentDate: Date = new Date()
): SkillId[] {
const masteredSkills = Array.from(masteryStates.entries())
.filter(([_, state]) => state.isMastered)
.map(([id, state]) => ({ id, state }));
if (masteredSkills.length === 0) {
return []; // No review skills available
}
// Step 1: Filter by recency window
const recentlyMasteredSkills = masteredSkills.filter(({ id, state }) => {
if (!state.masteredAt) return false;
const skill = SKILL_DEFINITIONS.find(s => s.id === id);
const recencyWindow = getRecencyWindowForSkill(skill);
const daysSinceMastery = differenceInDays(currentDate, state.masteredAt);
return daysSinceMastery <= recencyWindow;
});
// Step 2: Prioritize skills from recommendedReview list
const recommendedIds = new Set(currentSkill.recommendedReview);
const reviewCandidates = recentlyMasteredSkills
.map(({ id }) => ({
id,
isRecommended: recommendedIds.has(id),
masteredAt: masteryStates.get(id)!.masteredAt!,
}))
.sort((a, b) => {
// Sort by: recommended first, then by recency
if (a.isRecommended && !b.isRecommended) return -1;
if (!a.isRecommended && b.isRecommended) return 1;
return b.masteredAt.getTime() - a.masteredAt.getTime(); // Most recent first
});
// Step 3: Select top N skills (max 3-4 for variety)
const maxReviewSkills = Math.min(4, reviewCandidates.length);
return reviewCandidates.slice(0, maxReviewSkills).map(c => c.id);
}
/**
* Get recency window in days based on skill level
*/
function getRecencyWindowForSkill(skill: SkillDefinition): number {
if (skill.id.startsWith("sd-")) return 30; // Single-digit: 30 days
if (skill.id.startsWith("td-")) return 21; // Two-digit: 21 days
if (skill.id.startsWith("3d-")) return 14; // Three-digit: 14 days
if (skill.id.startsWith("4d-") || skill.id.startsWith("5d-")) return 7; // Expert: 7 days
return 21; // Default: 21 days
}
```
### Review Distribution
Once review skills are selected, distribute problems proportionally:
```typescript
/**
* Distribute review problems across selected review skills
*/
function distributeReviewProblems(
reviewSkills: SkillId[],
totalReviewCount: number,
rng: SeededRandom
): Map<SkillId, number> {
if (reviewSkills.length === 0) {
return new Map();
}
const distribution = new Map<SkillId, number>();
if (reviewSkills.length === 1) {
// Only one review skill: give it all review problems
distribution.set(reviewSkills[0], totalReviewCount);
return distribution;
}
// Multiple review skills: distribute evenly with slight randomness
const baseCount = Math.floor(totalReviewCount / reviewSkills.length);
const remainder = totalReviewCount % reviewSkills.length;
reviewSkills.forEach((skillId, index) => {
const count = baseCount + (index < remainder ? 1 : 0);
distribution.set(skillId, count);
});
return distribution;
}
```
### Example Review Selection
**Scenario**: Student is practicing "td-mixed-regroup" (two-digit mixed regrouping)
**Mastery state**:
- ✓ sd-no-regroup (mastered 45 days ago)
- ✓ sd-simple-regroup (mastered 40 days ago)
- ✓ td-no-regroup (mastered 25 days ago)
- ✓ td-ones-regroup (mastered 3 days ago)
**Current skill's recommendedReview**: ["td-no-regroup", "td-ones-regroup"]
**Selection process**:
1. Filter by recency (21 days for td-* skills):
- ~~sd-no-regroup~~ (45 days, outside window)
- ~~sd-simple-regroup~~ (40 days, outside window)
- ✓ td-no-regroup (25 days, but will be included if needed)
- ✓ td-ones-regroup (3 days, very recent)
2. Prioritize recommended:
- td-ones-regroup (recommended + recent = top priority)
- td-no-regroup (recommended but older)
3. **Selected review skills**: ["td-ones-regroup", "td-no-regroup"]
4. **Distribution** (5 review problems):
- td-ones-regroup: 3 problems (60%)
- td-no-regroup: 2 problems (40%)
---
## Dependency Visualization in UI
### Tech Tree Modal (Civilization-style)
**New Modal**: "Skill Tech Tree" (accessible from "View All Skills")
```
┌──────────────────────────────────────────────────────────────┐
│ Skill Progression - Addition Tech Tree ×
│ ────────────────────────────────────────────────────────── │
│ │
│ Single-Digit │
│ ┌──────────────┐ │
│ │ No Regroup ✓ │ │
│ └──────┬───────┘ │
│ │ │
│ ↓ │
│ ┌──────────────┐ │
│ │ Regroup ✓ │ │
│ └──────┬───────┘ │
│ │ │
│ Two-Digit │ │
│ ↓ │
│ ┌──────────────┐ │
│ │ No Regroup ✓ │ │
│ └──────┬───────┘ │
│ │ │
│ ↓ │
│ ┌──────────────┐ │
│ │ Ones Place ⭐│ ← You are here │
│ │ Regrouping │ │
│ └──────┬───────┘ │
│ │ │
│ ↓ │
│ ┌──────────────┐ │
│ │ Mixed │ ← Next skill │
│ │ Regrouping ○ │ │
│ └──────┬───────┘ │
│ │ │
│ ... (continues) │
│ │
│ Progress: 4/11 skills mastered │
│ [Close] │
└──────────────────────────────────────────────────────────────┘
```
**Implementation**: Use graphviz-style layout or simple vertical flow
---
## Config Schema Update (V5) - Refined
```typescript
export const additionConfigV5SmartSchema = z.object({
version: z.literal(5),
mode: z.literal("smart"),
// ... existing V4 fields ...
// Mastery mode
masteryMode: z.boolean().optional(),
currentSkillId: z.string().optional(),
// NEW: Review customization
reviewMixRatio: z.number().min(0).max(1).optional(), // 0-1, what fraction is review (default 0.25)
selectedReviewSkills: z.array(z.string()).optional(), // Manual override of review skills
// NEW: Auto-advance preference
autoAdvanceOnMastery: z.boolean().optional(), // Default true
});
```
---
## Summary of Design Decisions
### 1. Auto-Advance (Question 2 - Elaborated)
**Decision**: Auto-advance after 5s with "Undo" and "Stay Here" options
- Smooth guided experience
- User retains control
- Can generate multiple worksheets at mastered level if needed
### 2. Review Selection (Question 3)
**Decision**: Recently mastered skills with recency windows
- Recency window varies by skill level (30d → 7d as skills advance)
- Prioritize skills from current skill's `recommendedReview` list
- Max 3-4 review skills for variety
### 3. Dependency Tracking
**Decision**: DAG-based prerequisite system like Civilization
- Skills have explicit prerequisites (must master first)
- Skills have recommended review list (related skills for practice)
- UI shows locked/unlocked state based on prerequisites
### 4. Mix Ratio (Question 4)
**Decision**: User-adjustable 0-100% range
- Default: 75% current / 25% review
- Can go to 100% current (0% review) for focused practice
- Can go to 50% current / 50% review for heavy review mode
- Can go to 0% current / 100% review for pure review (if needed)
---
## Next Steps
Ready to implement? Suggested order:
1. **Phase 1**: Database + dependency system
- Create worksheet_mastery table
- Define SKILL_DEFINITIONS with prerequisites and recommendedReview
- Implement selection algorithms
2. **Phase 2**: Basic mastery mode toggle
- Add mode selector (Smart/Manual/Mastery)
- Add MasteryModePanel with mix visualization
- Wire up to problem generator
3. **Phase 3**: Auto-advance + review selection
- Implement auto-advance toast with undo/stay
- Implement recently-mastered selection algorithm
- Add customize mix modal
4. **Phase 4**: Dependency visualization
- Add "All Skills" modal with status indicators
- Optional: Add tech tree visualization
Sound good?

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# Mastery Mode - Executive Summary
## What Is It?
**Mastery Mode** is a third worksheet configuration mode (alongside Smart and Manual) that helps users generate pedagogically-appropriate practice worksheets based on skill progression.
Think of it as **Smart Difficulty with skill-based presets instead of difficulty presets**.
---
## Core Concept
### Current Smart Mode
User picks a difficulty preset:
- "Beginner" → No regrouping, full scaffolding
- "Practice" → High regrouping, high scaffolding
- "Expert" → High regrouping, no scaffolding
### New Mastery Mode
User picks a skill to practice:
- "Two-digit with ones regrouping" → Auto-configured for that specific skill
- Worksheet automatically mixes 75% current skill + 25% review of mastered skills
- User can customize the mix ratio and review selection
---
## User Experience Flow
### 1. Mode Selection
User sees three tabs at the top of the config panel:
```
┌─────────────────────────────────┐
│ [ Smart ] [ Manual ] [Mastery] │ ← Click Mastery
└─────────────────────────────────┘
```
### 2. Skill Selection
Interface shows current skill with navigation:
```
┌──────────────────────────────────────────────────────┐
│ Current Skill: Two-digit with ones regrouping ✓ │
│ │
│ [← Previous] [Mark as Mastered] [Next →] │
└──────────────────────────────────────────────────────┘
```
**Actions:**
- **← Previous / Next →**: Navigate through skill sequence
- **Mark as Mastered**: Toggle mastery status (remembered for this user)
- **✓ indicator**: Shows this skill is already mastered
### 3. Mix Visualization (Collapsed by Default)
Like the current difficulty preset dropdown, shows a summary:
```
┌──────────────────────────────────────────────────────┐
│ Difficulty: Mastery - Two-digit ones regrouping ▼ │
│ ────────────────────────────────────────────────── │
│ 15 current skill, 5 review from 2 mastered skills │
│ Recommended scaffolding │
└──────────────────────────────────────────────────────┘
```
Click to expand for full details:
```
┌──────────────────────────────────────────────────────┐
│ Difficulty: Mastery - Two-digit ones regrouping ▲ │
│ ────────────────────────────────────────────────── │
│ │
│ 📊 Worksheet Mix (20 problems) │
│ │
│ ┌────────────────────────────────────────┐ │
│ │ 15 problems │ Two-digit + ones regroup │ 75% │
│ │ (current) │ Example: 38 + 27 │ │
│ └────────────────────────────────────────┘ │
│ │
│ ┌────────────────────────────────────────┐ │
│ │ 5 problems │ Review: Mastered skills │ 25% │
│ │ (review) │ • 2: Single-digit regroup│ │
│ │ │ • 3: Two-digit no regroup│ │
│ └────────────────────────────────────────┘ │
│ │
│ ⚙️ Scaffolding (recommended for this skill) │
│ • Carry boxes when regrouping │
│ • Answer boxes always │
│ • Place value colors always │
│ • Ten-frames when regrouping │
│ │
│ [View All Skills] [Customize Mix] │
└──────────────────────────────────────────────────────┘
```
**Key observability features:**
- **Current skill block** (blue): Shows count, percentage, example problem
- **Review block** (green): Shows count, percentage, breakdown by skill
- **Scaffolding summary**: What scaffolds are enabled for this skill
- **Action buttons**: Access full skill list or customize the mix
### 4. Preview with Problem Attribution
Worksheet preview shows which problems are current vs review:
```
┌─────────────────────────────────────┐
│ Problem 1 [Current] │
│ 38 │
│ + 27 │
│ ---- │
├─────────────────────────────────────┤
│ Problem 2 [Review: 1d] │
│ 7 │
│ + 8 │
│ ---- │
├─────────────────────────────────────┤
│ Problem 3 [Current] │
│ 49 │
│ + 15 │
│ ---- │
└─────────────────────────────────────┘
```
**Badges:**
- Blue "Current" badge → Current skill problem
- Green "Review: skill-name" → Review problem (shows which skill)
**Note:** Badges only appear in preview, not in final PDF (cleaner output).
---
## Advanced Features
### View All Skills Modal
Click "View All Skills" to see complete progression:
```
┌─────────────────────────────────────────────────────┐
│ All Skills - Addition ×
│ ───────────────────────────────────────────────── │
│ │
│ ✓ Single-digit without regrouping │
│ Mastered • [Practice This] [Unmark] │
│ │
│ ✓ Single-digit with regrouping │
│ Mastered • [Practice This] [Unmark] │
│ │
│ ✓ Two-digit without regrouping │
│ Mastered • [Practice This] [Unmark] │
│ │
│ ⭐ Two-digit with ones regrouping (Current) │
│ 12 attempts • 78% accuracy │
│ [Mark as Mastered] │
│ │
│ ○ Two-digit with mixed regrouping │
│ Not started • [Practice This] │
│ │
│ ⊘ Two-digit with frequent regrouping │
│ Locked • Requires: Two-digit mixed regrouping │
│ │
│ ... (11 skills total for addition) │
│ │
│ Progress: 3/11 skills mastered (27%) │
│ │
│ [Close] │
└─────────────────────────────────────────────────────┘
```
**Status indicators:**
- ✓ = Mastered (green)
- ⭐ = Current skill (blue, with stats)
- ○ = Available (prerequisites met)
- ⊘ = Locked (prerequisites not met)
**Actions per skill:**
- **Practice This**: Switch to this skill
- **Mark as Mastered / Unmark**: Toggle mastery
- Shows prerequisite requirements for locked skills
### Customize Mix Modal
Click "Customize Mix" for fine control:
```
┌─────────────────────────────────────────────────────┐
│ Customize Worksheet Mix ×
│ ───────────────────────────────────────────────── │
│ │
│ Mix Ratio │
│ │
│ Current Skill: 75% ███████████░░░ │
│ Review: 25% ███░░░░░░░░░░ │
│ │
│ [━━━━━━●━━━━━━━━━━━] 75% │
│ More review More current skill │
│ │
│ Review Skills │
│ ☑ Single-digit with regrouping │
│ ☑ Two-digit without regrouping │
│ │
│ [Reset to Default] [Cancel] [Apply] │
└─────────────────────────────────────────────────────┘
```
**Controls:**
- **Slider**: Adjust current/review ratio (0-100% review)
- **Checkboxes**: Select which mastered skills to include in review
- **Reset**: Return to defaults (75% current, all recommended review skills)
---
## What Problems Get Generated?
### Example: Practicing "Two-digit with ones regrouping"
**Worksheet configuration** (20 problems):
- **15 current skill problems** (75%):
- Digit range: 2 digits
- Regrouping: ~50% of problems need ones place regrouping
- Examples: 38+27, 49+15, 56+38
- **5 review problems** (25%):
- 2-3 problems from "Single-digit with regrouping" (7+8, 9+6)
- 2-3 problems from "Two-digit without regrouping" (23+45, 31+28)
**Scaffolding** (auto-configured for this skill level):
- Carry boxes: When regrouping
- Answer boxes: Always
- Place value colors: Always
- Ten-frames: When regrouping
**Result**: Worksheet is pedagogically appropriate for a student working on this specific skill, with built-in review to prevent forgetting.
---
## Skill Progression
### 11 Addition Skills (Linear Progression)
```
1. Single-digit without regrouping (3+5, 2+4)
└→ 2. Single-digit with regrouping (7+8, 9+6)
└→ 3. Two-digit without regrouping (23+45)
└→ 4. Two-digit ones regrouping (38+27)
└→ 5. Two-digit mixed regrouping (67+58)
└→ 6. Two-digit full regrouping (88+99)
└→ 7. Three-digit no regrouping (234+451)
└→ 8. Three-digit simple regrouping (367+258)
└→ 9. Three-digit full regrouping (888+999)
└→ 10. Four-digit mastery (3847+2956)
└→ 11. Five-digit mastery (38472+29563)
```
### 10 Subtraction Skills (Mirror Structure)
Same progression pattern for subtraction (borrowing instead of carrying).
**Prerequisites**: Each skill requires mastering the previous one first.
**Review recommendations**: Each skill reviews 1-2 immediate prerequisites.
---
## Key UX Principles
### 1. **Transparency**
User always sees:
- What's in the mix (current skill vs review)
- How many of each type of problem
- Which skills are being reviewed
- Why (based on dependency graph)
### 2. **Control**
User can:
- Navigate freely between skills
- Manually mark skills as mastered/unmastered
- Customize mix ratio (0-100% review)
- Select specific review skills
- Jump to any unlocked skill
### 3. **Simplicity**
- No timers, no auto-advance
- No complex time-based calculations
- Just configuration presets organized by skill
- Works exactly like Smart mode, but skill-focused
### 4. **Observability**
- Collapsed summary (quick glance)
- Expanded detail (full breakdown)
- Problem attribution in preview
- Progress tracking (X/Y skills mastered)
---
## What Makes This Better Than Smart Mode?
### Smart Mode
- User picks difficulty level ("Beginner" to "Expert")
- Adjusts regrouping probability and scaffolding globally
- No concept of skill progression
- No automatic review mixing
- User manually adjusts digit range
### Mastery Mode
- User picks pedagogical skill to practice
- Problem configuration auto-tuned for that skill
- Clear progression path (unlock skills in order)
- Automatic review of prerequisite skills
- Digit range determined by skill (2-digit skill = 2-digit problems)
**Result**: Teachers/parents get appropriate worksheets without understanding regrouping probabilities, scaffolding rules, or digit ranges. Just pick the skill and generate.
---
## Technical Architecture
### Data Storage
**New table**: `worksheet_mastery`
```sql
CREATE TABLE worksheet_mastery (
id TEXT PRIMARY KEY,
user_id TEXT NOT NULL,
skill_id TEXT NOT NULL,
is_mastered BOOLEAN NOT NULL DEFAULT FALSE,
total_attempts INTEGER NOT NULL DEFAULT 0,
correct_attempts INTEGER NOT NULL DEFAULT 0,
last_accuracy REAL,
mastered_at TIMESTAMP,
last_practiced_at TIMESTAMP NOT NULL,
created_at TIMESTAMP NOT NULL,
updated_at TIMESTAMP NOT NULL,
FOREIGN KEY (user_id) REFERENCES users(id) ON DELETE CASCADE
);
```
**Tracks**:
- Which skills user has mastered (boolean)
- Attempt/accuracy stats (for future validation)
- Timestamps (for UI display only, not logic)
### Problem Generation
```typescript
// Phase 1: Determine current skill
const currentSkill = SKILL_DEFINITIONS.find(s => s.id === formState.currentSkillId);
// Phase 2: Get review skills (from recommendedReview list, filtered by mastery)
const reviewSkills = currentSkill.recommendedReview.filter(skillId =>
masteryStates.get(skillId)?.isMastered === true
);
// Phase 3: Calculate mix
const total = formState.problemsPerPage;
const mixRatio = formState.reviewMixRatio ?? 0.25; // Default 25% review
const reviewCount = Math.floor(total * mixRatio);
const currentCount = total - reviewCount;
// Phase 4: Generate problems
const problems = [
...generateProblemsForSkill(currentSkill, currentCount),
...generateReviewProblems(reviewSkills, reviewCount)
];
// Phase 5: Shuffle and return
return shuffle(problems);
```
### Config Schema (V5)
```typescript
{
version: 5,
mode: "smart",
masteryMode: true, // NEW: Enable mastery mode
currentSkillId: "td-ones-regroup", // NEW: Which skill to practice
reviewMixRatio: 0.25, // NEW: What fraction is review (0-1)
selectedReviewSkills: ["sd-simple-regroup", "td-no-regroup"], // NEW: Manual override
// ... all existing smart mode fields
}
```
---
## Implementation Phases
### Phase 1: Foundation (Backend)
- Database migration for `worksheet_mastery` table
- Define 21 `SKILL_DEFINITIONS` (11 addition, 10 subtraction)
- API endpoints: GET/POST `/api/worksheets/mastery`
- Problem generation with skill mix
### Phase 2: Basic UI
- Mode selector (Smart/Manual/Mastery tabs)
- Mastery mode panel with current skill display
- Previous/Next navigation buttons
- Collapsed/expanded mix visualization
- "Mark as Mastered" toggle
### Phase 3: Modals
- "View All Skills" modal with full progression
- Progress tracking (X/Y skills mastered)
- Click-to-select skill navigation
### Phase 4: Customization
- "Customize Mix" modal with slider
- Manual review skill selection
- Custom mix ratio persistence
### Phase 5: Polish
- Problem attribution badges in preview
- Smooth transitions between skills
- Responsive design (mobile/tablet)
---
## User Personas
### Persona 1: Parent Homeschooling 2nd Grader
**Goal**: Generate practice worksheets for child learning two-digit addition
**Flow**:
1. Opens worksheet generator
2. Clicks "Mastery" tab
3. Sees child is on "Two-digit with ones regrouping"
4. Clicks "Generate" → Gets appropriate worksheet
5. After child completes it successfully, clicks "Mark as Mastered"
6. Clicks "Next →" to move to "Two-digit mixed regrouping"
7. Generates next worksheet
**Value**: No need to understand regrouping probabilities or scaffolding rules. Just follow the skill progression.
### Persona 2: Teacher Managing Classroom
**Goal**: Create differentiated worksheets for students at different levels
**Flow**:
1. Opens worksheet generator
2. Clicks "View All Skills"
3. Sees student A is on skill #4, student B is on skill #7
4. For student A: Selects skill #4, generates worksheet
5. For student B: Selects skill #7, generates worksheet
6. Both worksheets are pedagogically appropriate for their levels
**Value**: Quick access to any skill level, clear progression tracking, appropriate scaffolding per skill.
### Persona 3: Math Tutor
**Goal**: Create targeted practice with heavy review component
**Flow**:
1. Opens worksheet generator
2. Clicks "Mastery" tab
3. Sees student is on "Three-digit simple regrouping"
4. Clicks "Customize Mix"
5. Adjusts slider to 50% review (more review than default)
6. Checks which review skills to include
7. Generates heavily-mixed worksheet
**Value**: Full control over mix ratio while maintaining skill-appropriate problem generation.
---
## Questions & Answers
### Q: What if I want pure practice (no review)?
**A**: Adjust mix ratio slider to 100% current / 0% review.
### Q: What if I want pure review?
**A**: Adjust mix ratio slider to 0% current / 100% review.
### Q: Can I practice a skill I haven't "unlocked" yet?
**A**: Yes! Click "Practice This" on any skill. Prerequisites only affect the suggested progression, not what you can select.
### Q: Does marking a skill as mastered change anything automatically?
**A**: No. It just updates the checkmark and enables that skill for review in future worksheets. You manually navigate to the next skill.
### Q: Can I go back to a mastered skill?
**A**: Yes. Click "Practice This" on any skill, including mastered ones. Useful for generating extra practice or review.
### Q: What happens if I unmark a skill as mastered?
**A**: It removes the checkmark and excludes it from review pools. You can re-mark it anytime.
### Q: Do the mastery states sync across devices?
**A**: Yes, they're stored in the database per user account.
---
## Summary
**Mastery Mode = Smart Mode + Skill Progression + Automatic Review Mixing**
- Same underlying system (regrouping probabilities, scaffolding rules)
- Organized around pedagogical skill sequence instead of difficulty levels
- Automatically mixes current practice with review of prerequisites
- User maintains full manual control
- Transparent observability into what's being generated and why

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# Mastery Progression Example: Single-Carry Technique
This shows the complete progression for learning the **single-carry** technique, demonstrating how scaffolding cycles as complexity increases.
## The Pattern: Scaffolding Fade Cycles
For each new complexity level:
1. **WITH scaffolding** - Learn the pattern with visual support
2. **WITHOUT scaffolding** - Internalize the concept
3. **Next complexity WITH scaffolding** - Apply to harder problems with support again
4. Repeat
## Complete Single-Carry Progression (12 objectives)
### Phase 1: Single-Digit Carrying (Entry Level)
#### Objective 1: Single-digit with ten-frames
- **Technique**: single-carry
- **Complexity**: sd-with-regroup (1-digit, 100% regrouping)
- **Scaffolding**: FULL
- **Config**:
- digitRange: {min: 1, max: 1}
- pAnyStart: 1.0, pAllStart: 0
- tenFrames: 'whenRegrouping' ✓ (shows for all since all regroup)
- carryBoxes: 'whenRegrouping' ✓
- **Example problems**: 7+8, 9+6, 8+5 (all with ten-frames)
- **Next**: Objective 2 (same complexity, less scaffolding)
#### Objective 2: Single-digit without ten-frames
- **Technique**: single-carry
- **Complexity**: sd-with-regroup (1-digit, 100% regrouping)
- **Scaffolding**: PARTIAL (no ten-frames)
- **Config**:
- digitRange: {min: 1, max: 1}
- pAnyStart: 1.0, pAllStart: 0
- tenFrames: 'never' ✗ (removed)
- carryBoxes: 'whenRegrouping' ✓ (still showing)
- **Example problems**: 7+8, 9+6, 8+5 (no ten-frames)
- **Next**: Objective 3 (higher complexity, reintroduce scaffolding)
---
### Phase 2: Two-Digit Carrying (Ones Place Only)
#### Objective 3: Two-digit ones-carry with ten-frames
- **Technique**: single-carry
- **Complexity**: td-ones-regroup (2-digit, ones only)
- **Scaffolding**: FULL (scaffolding RETURNS for new complexity!)
- **Config**:
- digitRange: {min: 2, max: 2}
- pAnyStart: 1.0, pAllStart: 0
- tenFrames: 'whenRegrouping' ✓ (BACK!)
- carryBoxes: 'whenRegrouping' ✓
- **Example problems**: 38+27 (with ten-frames), 49+15, 56+28
- **Why ten-frames return?** New complexity = need visual support again
- **Next**: Objective 4 (same complexity, fade scaffolding)
#### Objective 4: Two-digit ones-carry without ten-frames
- **Technique**: single-carry
- **Complexity**: td-ones-regroup (2-digit, ones only)
- **Scaffolding**: PARTIAL
- **Config**:
- digitRange: {min: 2, max: 2}
- pAnyStart: 1.0, pAllStart: 0
- tenFrames: 'never' ✗
- carryBoxes: 'whenRegrouping' ✓
- **Example problems**: 38+27 (no ten-frames), 49+15, 56+28
- **Next**: Objective 5 (higher complexity, reintroduce scaffolding)
---
### Phase 3: Two-Digit Carrying (Mixed/All Places)
#### Objective 5: Two-digit mixed-carry with ten-frames
- **Technique**: single-carry → multi-carry transition
- **Complexity**: td-mixed-regroup (2-digit, 70% any, 30% all)
- **Scaffolding**: FULL
- **Config**:
- digitRange: {min: 2, max: 2}
- pAnyStart: 0.7, pAllStart: 0.3
- tenFrames: 'whenRegrouping' ✓
- carryBoxes: 'whenRegrouping' ✓
- **Example problems**: Mix of 38+27 (ones), 57+68 (all), 23+45 (none)
- **Next**: Objective 6
#### Objective 6: Two-digit mixed-carry without ten-frames
- **Technique**: multi-carry (if pAllStart > 0)
- **Complexity**: td-mixed-regroup
- **Scaffolding**: PARTIAL
- **Config**:
- tenFrames: 'never' ✗
- carryBoxes: 'whenRegrouping' ✓
- **Next**: Objective 7 (higher complexity, reintroduce scaffolding)
---
### Phase 4: Three-Digit Carrying (Ones Place Only)
#### Objective 7: Three-digit ones-carry with ten-frames
- **Technique**: single-carry
- **Complexity**: xd-ones-regroup (3-digit, ones only)
- **Scaffolding**: FULL (scaffolding RETURNS again!)
- **Config**:
- digitRange: {min: 3, max: 3}
- pAnyStart: 1.0, pAllStart: 0
- tenFrames: 'whenRegrouping' ✓ (BACK AGAIN!)
- carryBoxes: 'whenRegrouping' ✓
- **Example problems**: 138+227, 549+315
- **Why ten-frames again?** 3-digit is new complexity, needs support
- **Next**: Objective 8
#### Objective 8: Three-digit ones-carry without ten-frames
- **Technique**: single-carry
- **Complexity**: xd-ones-regroup
- **Scaffolding**: PARTIAL
- **Config**:
- tenFrames: 'never' ✗
- carryBoxes: 'whenRegrouping' ✓
- **Next**: Objective 9
---
### Phase 5: Three-Digit Multi-Carry
#### Objective 9: Three-digit multi-carry with ten-frames
- **Technique**: multi-carry
- **Complexity**: xd-multi-regroup (3-digit, 2+ places)
- **Scaffolding**: FULL
- **Config**:
- digitRange: {min: 3, max: 3}
- pAnyStart: 1.0, pAllStart: 0.5
- tenFrames: 'whenRegrouping' ✓
- carryBoxes: 'whenMultipleRegroups' (adjusted)
- **Example problems**: 687+458, 879+264
- **Next**: Objective 10
#### Objective 10: Three-digit multi-carry without ten-frames
- **Technique**: multi-carry
- **Complexity**: xd-multi-regroup
- **Scaffolding**: MINIMAL
- **Config**:
- tenFrames: 'never' ✗
- carryBoxes: 'whenMultipleRegroups'
- **Next**: Objective 11
---
### Phase 6: Four-Digit (Advanced)
#### Objective 11: Four-digit with scaffolding
- **Technique**: multi-carry
- **Complexity**: xxd-mixed (4-digit)
- **Scaffolding**: FULL (for new complexity)
- **Config**:
- digitRange: {min: 4, max: 4}
- tenFrames: 'whenRegrouping' ✓ (might be useful)
- carryBoxes: 'whenMultipleRegroups'
- **Note**: At this level, ten-frames might be less useful (too many digits)
- **Next**: Objective 12
#### Objective 12: Four-digit minimal scaffolding
- **Technique**: multi-carry
- **Complexity**: xxd-mixed
- **Scaffolding**: MINIMAL
- **Config**:
- tenFrames: 'never' ✗
- carryBoxes: 'whenMultipleRegroups'
- **Next**: Five-digit, or MASTERED!
---
## Key Insights
### 1. Scaffolding Cycles
Ten-frames appear 6 times in this progression (objectives 1, 3, 5, 7, 9, 11), not just once!
### 2. Gradual Fade at Each Level
Pattern: WITH → WITHOUT → (next complexity) WITH → WITHOUT
### 3. Two Dimensions of Progress
- **Horizontal**: Fade scaffolding (full → partial → minimal)
- **Vertical**: Increase complexity (1-digit → 2-digit → 3-digit → 4-digit)
### 4. Spiral Curriculum
Students encounter the same technique multiple times with:
- Increasing complexity
- Decreasing scaffolding
- Building mastery through repetition with variation
### 5. NOT a Linear Progression
This is NOT: "learn with ten-frames, then never see them again"
This IS: "cycle between scaffolded and unscaffolded practice as difficulty increases"
## Implementation in UI
Instead of showing 12 separate "skills", we could show:
```
Technique: Single-place Carrying
├─ 1-digit (with support) ✓
├─ 1-digit (independent) ✓
├─ 2-digit ones (with support) ✓
├─ 2-digit ones (independent) ← currently practicing
├─ 2-digit mixed (with support)
├─ 2-digit mixed (independent)
├─ 3-digit ones (with support)
└─ ...
```
Or even more compact:
```
Single-place Carrying
├─ 1-digit: ✓✓ (mastered)
├─ 2-digit: ✓○ (scaffolding fading...)
├─ 3-digit: ○○ (not started)
```
Where ✓○ means "mastered with scaffolding, practicing without"

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@@ -0,0 +1,852 @@
# Mastery Mode Redesign Plan
## Executive Summary
Redesign mastery mode to use a **1D slider that follows a curated path through 3D+ space**:
- **Dimension 1**: Digit count (1-5 digits)
- **Dimension 2**: Regrouping difficulty (0-100%)
- **Dimension 3**: Scaffolding level (full → minimal)
The slider maps to discrete steps on a **progression path** that zig-zags through this space, reintroducing scaffolding (ten-frames) as complexity (digit count) increases.
**Key insight**: This is NOT a new mode - it's just **smart difficulty with a progression system**. All three modes (Smart/Manual/Mastery) can eventually merge into one unified UI.
## The Problem We're Solving
**Current issue**: "We show ten-frames for 2-digit regrouping, then never show them again even when we jump to 3-digit regrouping"
**Root cause**: Current "skills" are flat - no concept of scaffolding cycling as complexity increases.
**Solution**: Define a progression path where scaffolding cycles:
- 2-digit WITH ten-frames → 2-digit WITHOUT ten-frames
- 3-digit WITH ten-frames → 3-digit WITHOUT ten-frames (ten-frames return!)
- 4-digit WITH ten-frames → 4-digit WITHOUT ten-frames (ten-frames return again!)
## Architecture: No New Worksheet Config Version
**IMPORTANT**: This does NOT create a new worksheet config version.
Current worksheet config (version 4) already has everything we need:
- `digitRange: { min, max }`
- `regroupingConfig: { pAnyStart, pAllStart }`
- `displayRules: { tenFrames, carryBoxes, ... }`
- `operator: 'addition' | 'subtraction' | 'mixed'`
The mastery progression is just **pre-defined combinations** of these existing fields.
## Core Concepts
### 1. Technique (What Skill?)
The actual mathematical skill being practiced:
- **basic-addition**: No carrying
- **single-carry**: Carrying in one place value
- **multi-carry**: Carrying in multiple places
- **basic-subtraction**: No borrowing
- **single-borrow**: Borrowing from one place
- **multi-borrow**: Borrowing across multiple places
**Just 6 techniques total.**
### 2. Complexity (How Hard?)
Problem characteristics:
- Digit count (1, 2, 3, 4, 5 digits)
- Regrouping frequency (0%, 50%, 100%)
- Regrouping positions (ones only, tens only, multiple places)
**~13 complexity levels total.**
### 3. Scaffolding (How Much Support?)
Visual scaffolding provided:
- **Full**: Ten-frames shown, carry boxes shown, place value colors
- **Partial**: No ten-frames, still have carry boxes and colors
- **Minimal**: Minimal visual aids
**2-3 scaffolding levels per (technique × complexity) pair.**
### 4. Progression Path = 1D Path Through 3D Space
Instead of letting users navigate freely through 3D space, we define a **curated learning path**:
```
Path for single-carry technique:
Step 1: (1-digit, 100% regroup, full scaffold)
Step 2: (1-digit, 100% regroup, minimal scaffold) ← scaffolding fades
Step 3: (2-digit, 100% regroup, full scaffold) ← digit ↑, scaffold RETURNS
Step 4: (2-digit, 100% regroup, minimal scaffold) ← scaffolding fades
Step 5: (3-digit, 100% regroup, full scaffold) ← digit ↑, scaffold RETURNS
Step 6: (3-digit, 100% regroup, minimal scaffold) ← scaffolding fades
...
```
This is the **zig-zag pattern**: increase complexity → reintroduce scaffolding → fade scaffolding → repeat.
## UI Design
### Primary Control: Difficulty Slider
```
┌─────────────────────────────────────────────────────────┐
│ Difficulty Progression │
├─────────────────────────────────────────────────────────┤
│ │
│ Easier ←―――――――●――――――――――――――――→ Harder │
│ │
│ Currently practicing: │
│ • 2-digit problems │
│ • Single-place carrying (ones place only) │
│ • Full scaffolding (ten-frames shown) │
│ │
│ Progress: [●●●●○○○○○○○○] Step 4 of 12 │
│ │
│ Next milestone: │
│ → Same problems, less scaffolding (no ten-frames) │
│ │
│ [Show Advanced Controls ▼] │
└─────────────────────────────────────────────────────────┘
```
### Advanced Controls (Expandable)
When user clicks "Show Advanced Controls":
```
┌─────────────────────────────────────────────────────────┐
│ ▼ Advanced Controls │
├─────────────────────────────────────────────────────────┤
│ │
│ Technique: │
│ ○ Basic Addition ● Single-carry ○ Multi-carry │
│ │
│ Digit Count: │
│ [1] [2] [3] [4] [5] ← Button group │
│ ○ ● ○ ○ ○ │
│ │
│ Regrouping Frequency: │
│ None ←―――――●―――――――→ Always │
│ (100% regrouping) │
│ │
│ Scaffolding Level: │
│ ● Full (ten-frames, carry boxes, colors) │
│ ○ Partial (carry boxes, colors only) │
│ ○ Minimal (carry boxes only) │
│ │
│ ⚠ Manual changes will move you off the progression path│
└─────────────────────────────────────────────────────────┘
```
### Interaction Flow
**Scenario 1: User drags slider right (easier → harder)**
1. Slider value changes: 33% → 42%
2. Map to progression step: Step 4 → Step 5
3. Step 5 config:
- `digitRange: { min: 2, max: 2 }` (same)
- `pAnyStart: 1.0` (same)
- `tenFrames: 'whenRegrouping'``'never'` ← CHANGE
4. Display updates: "2-digit problems, independent practice (no ten-frames)"
5. Preview regenerates with new config
**Scenario 2: User drags slider further right**
1. Slider value: 42% → 50%
2. Map to step: Step 5 → Step 6
3. Step 6 config:
- `digitRange: { min: 2, max: 2 }``{ min: 3, max: 3 }` ← DIGIT INCREASE
- `pAnyStart: 1.0` (same)
- `tenFrames: 'never'``'whenRegrouping'` ← SCAFFOLDING RETURNS!
4. Display updates: "3-digit problems with visual support (ten-frames)"
5. Preview regenerates
**Scenario 3: User manually changes digit count**
1. User expands "Advanced Controls"
2. User clicks "4" in digit count buttons
3. System searches progression path for nearest step with 4-digit
4. Finds Step 9: (4-digit, 80% regroup, full scaffold)
5. Slider jumps to 75% position
6. Display updates: "Moved to Step 9"
7. Warning shown: "You're now at 4-digit, but may want to practice 3-digit first"
## Data Structures
### 1. Progression Path Definition
```typescript
// File: src/app/create/worksheets/addition/progressionPath.ts
import type { WorksheetFormState } from './types'
/**
* A single step in the mastery progression path
*/
export interface ProgressionStep {
// Unique ID for this step
id: string
// Position in progression (0-based)
stepNumber: number
// Which technique is being practiced
technique: 'basic-addition' | 'single-carry' | 'multi-carry' | 'basic-subtraction' | 'single-borrow' | 'multi-borrow'
// Human-readable description
name: string
description: string
// Complete worksheet configuration for this step
// This is worksheet config v4 format - no new version!
config: Partial<WorksheetFormState>
// Mastery tracking
masteryThreshold: number // e.g., 0.85 = 85% accuracy required
minimumAttempts: number // e.g., 15 problems minimum
// What comes next?
nextStepId: string | null
previousStepId: string | null
}
/**
* Complete progression path for single-carry technique
*/
export const SINGLE_CARRY_PATH: ProgressionStep[] = [
// Step 0: 1-digit with full scaffolding
{
id: 'single-carry-1d-full',
stepNumber: 0,
technique: 'single-carry',
name: 'Single-digit carrying (with support)',
description: 'Practice carrying with single-digit problems and ten-frames',
config: {
digitRange: { min: 1, max: 1 },
operator: 'addition',
pAnyStart: 1.0,
pAllStart: 0,
displayRules: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'whenRegrouping', // ← FULL SCAFFOLDING
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
interpolate: false,
},
masteryThreshold: 0.9,
minimumAttempts: 20,
nextStepId: 'single-carry-1d-minimal',
previousStepId: null,
},
// Step 1: 1-digit with minimal scaffolding
{
id: 'single-carry-1d-minimal',
stepNumber: 1,
technique: 'single-carry',
name: 'Single-digit carrying (independent)',
description: 'Practice carrying without visual aids',
config: {
digitRange: { min: 1, max: 1 },
operator: 'addition',
pAnyStart: 1.0,
pAllStart: 0,
displayRules: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never', // ← SCAFFOLDING FADED
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
interpolate: false,
},
masteryThreshold: 0.9,
minimumAttempts: 20,
nextStepId: 'single-carry-2d-full',
previousStepId: 'single-carry-1d-full',
},
// Step 2: 2-digit with full scaffolding (SCAFFOLDING RETURNS!)
{
id: 'single-carry-2d-full',
stepNumber: 2,
technique: 'single-carry',
name: 'Two-digit carrying (with support)',
description: 'Apply carrying to two-digit problems with visual support',
config: {
digitRange: { min: 2, max: 2 },
operator: 'addition',
pAnyStart: 1.0,
pAllStart: 0,
displayRules: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'whenRegrouping', // ← SCAFFOLDING RETURNS for new complexity!
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
interpolate: false,
},
masteryThreshold: 0.85,
minimumAttempts: 20,
nextStepId: 'single-carry-2d-minimal',
previousStepId: 'single-carry-1d-minimal',
},
// Step 3: 2-digit with minimal scaffolding
{
id: 'single-carry-2d-minimal',
stepNumber: 3,
technique: 'single-carry',
name: 'Two-digit carrying (independent)',
description: 'Practice two-digit carrying without visual aids',
config: {
digitRange: { min: 2, max: 2 },
operator: 'addition',
pAnyStart: 1.0,
pAllStart: 0,
displayRules: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never', // ← SCAFFOLDING FADED
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
interpolate: false,
},
masteryThreshold: 0.85,
minimumAttempts: 20,
nextStepId: 'single-carry-3d-full',
previousStepId: 'single-carry-2d-full',
},
// Step 4: 3-digit with full scaffolding (SCAFFOLDING RETURNS AGAIN!)
{
id: 'single-carry-3d-full',
stepNumber: 4,
technique: 'single-carry',
name: 'Three-digit carrying (with support)',
description: 'Apply carrying to three-digit problems with visual support',
config: {
digitRange: { min: 3, max: 3 },
operator: 'addition',
pAnyStart: 1.0,
pAllStart: 0,
displayRules: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'whenRegrouping', // ← SCAFFOLDING RETURNS for 3-digit!
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
interpolate: false,
},
masteryThreshold: 0.85,
minimumAttempts: 20,
nextStepId: 'single-carry-3d-minimal',
previousStepId: 'single-carry-2d-minimal',
},
// Step 5: 3-digit with minimal scaffolding
{
id: 'single-carry-3d-minimal',
stepNumber: 5,
technique: 'single-carry',
name: 'Three-digit carrying (independent)',
description: 'Practice three-digit carrying without visual aids',
config: {
digitRange: { min: 3, max: 3 },
operator: 'addition',
pAnyStart: 1.0,
pAllStart: 0,
displayRules: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never', // ← SCAFFOLDING FADED
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
interpolate: false,
},
masteryThreshold: 0.85,
minimumAttempts: 20,
nextStepId: null, // End of single-carry path
previousStepId: 'single-carry-3d-full',
},
]
/**
* Map slider value (0-100) to progression step
*/
export function getStepFromSliderValue(
sliderValue: number,
path: ProgressionStep[]
): ProgressionStep {
const stepIndex = Math.round((sliderValue / 100) * (path.length - 1))
return path[stepIndex]
}
/**
* Map progression step to slider value (0-100)
*/
export function getSliderValueFromStep(
stepNumber: number,
pathLength: number
): number {
return (stepNumber / (pathLength - 1)) * 100
}
/**
* Find nearest step in path matching given config
*/
export function findNearestStep(
config: Partial<WorksheetFormState>,
path: ProgressionStep[]
): ProgressionStep {
// Score each step by how well it matches config
let bestMatch = path[0]
let bestScore = -Infinity
for (const step of path) {
let score = 0
// Match digit range (most important)
if (step.config.digitRange?.min === config.digitRange?.min &&
step.config.digitRange?.max === config.digitRange?.max) {
score += 100
}
// Match regrouping config
if (step.config.pAnyStart === config.pAnyStart) score += 50
if (step.config.pAllStart === config.pAllStart) score += 50
// Match scaffolding (ten-frames)
if (step.config.displayRules?.tenFrames === config.displayRules?.tenFrames) {
score += 30
}
if (score > bestScore) {
bestScore = score
bestMatch = step
}
}
return bestMatch
}
```
### 2. Database Schema (No Changes Needed!)
**Current database** (already exists):
```sql
CREATE TABLE worksheet_mastery (
user_id TEXT NOT NULL,
skill_id TEXT NOT NULL, -- Can be step ID like 'single-carry-2d-full'
is_mastered BOOLEAN NOT NULL DEFAULT 0,
attempts INTEGER NOT NULL DEFAULT 0,
correct_count INTEGER NOT NULL DEFAULT 0,
last_practiced_at INTEGER,
created_at INTEGER NOT NULL,
updated_at INTEGER NOT NULL,
PRIMARY KEY (user_id, skill_id)
);
```
We can reuse this table! Just use step IDs as skill IDs:
- Old: `skill_id = 'td-ones-regroup'`
- New: `skill_id = 'single-carry-2d-full'`
**Migration**: Map old skill IDs to new step IDs.
### 3. UI Component Structure
```typescript
// File: src/app/create/worksheets/addition/components/config-panel/ProgressionModePanel.tsx
import { useState } from 'react'
import { SINGLE_CARRY_PATH, getStepFromSliderValue, getSliderValueFromStep } from '../../progressionPath'
import type { WorksheetFormState } from '../../types'
interface ProgressionModePanelProps {
formState: WorksheetFormState
onChange: (updates: Partial<WorksheetFormState>) => void
isDark?: boolean
}
export function ProgressionModePanel({ formState, onChange, isDark }: ProgressionModePanelProps) {
// Current step (from formState.currentStepId or default to step 0)
const currentStepId = formState.currentStepId ?? SINGLE_CARRY_PATH[0].id
const currentStep = SINGLE_CARRY_PATH.find(s => s.id === currentStepId) ?? SINGLE_CARRY_PATH[0]
// Slider value derived from step
const sliderValue = getSliderValueFromStep(currentStep.stepNumber, SINGLE_CARRY_PATH.length)
// Expanded/collapsed state for advanced controls
const [showAdvanced, setShowAdvanced] = useState(false)
// Handle slider change
const handleSliderChange = (newValue: number) => {
const newStep = getStepFromSliderValue(newValue, SINGLE_CARRY_PATH)
// Apply step's config to form state
onChange({
currentStepId: newStep.id,
...newStep.config,
})
}
// Handle manual config changes
const handleManualChange = (updates: Partial<WorksheetFormState>) => {
onChange(updates)
// Find nearest step matching new config
const nearestStep = findNearestStep({ ...formState, ...updates }, SINGLE_CARRY_PATH)
// Update step ID (might move off path)
onChange({ currentStepId: nearestStep.id })
}
return (
<div data-component="progression-mode-panel">
{/* Slider */}
<div>
<label>Difficulty Progression</label>
<input
type="range"
min={0}
max={100}
value={sliderValue}
onChange={(e) => handleSliderChange(Number(e.target.value))}
/>
</div>
{/* Current status */}
<div>
<h4>Currently practicing:</h4>
<ul>
<li>{currentStep.config.digitRange?.min}-digit problems</li>
<li>{currentStep.name}</li>
<li>
{currentStep.config.displayRules?.tenFrames === 'whenRegrouping'
? 'Full scaffolding (ten-frames shown)'
: 'Independent practice (no ten-frames)'}
</li>
</ul>
</div>
{/* Progress dots */}
<div>
Progress:
{SINGLE_CARRY_PATH.map((step, i) => (
<span key={step.id}>
{i <= currentStep.stepNumber ? '●' : '○'}
</span>
))}
Step {currentStep.stepNumber + 1} of {SINGLE_CARRY_PATH.length}
</div>
{/* Next milestone */}
{currentStep.nextStepId && (
<div>
Next milestone: {SINGLE_CARRY_PATH.find(s => s.id === currentStep.nextStepId)?.description}
</div>
)}
{/* Advanced controls */}
<button onClick={() => setShowAdvanced(!showAdvanced)}>
{showAdvanced ? 'Hide' : 'Show'} Advanced Controls
</button>
{showAdvanced && (
<div>
{/* Digit count buttons */}
<div>
<label>Digit Count:</label>
{[1, 2, 3, 4, 5].map(d => (
<button
key={d}
onClick={() => handleManualChange({ digitRange: { min: d, max: d } })}
data-selected={formState.digitRange?.min === d}
>
{d}
</button>
))}
</div>
{/* Regrouping slider */}
<div>
<label>Regrouping Frequency:</label>
<input
type="range"
min={0}
max={100}
value={(formState.pAnyStart ?? 0) * 100}
onChange={(e) => handleManualChange({ pAnyStart: Number(e.target.value) / 100 })}
/>
</div>
{/* Scaffolding radio buttons */}
<div>
<label>Scaffolding:</label>
<label>
<input
type="radio"
checked={formState.displayRules?.tenFrames === 'whenRegrouping'}
onChange={() => handleManualChange({
displayRules: { ...formState.displayRules, tenFrames: 'whenRegrouping' }
})}
/>
Full (ten-frames shown)
</label>
<label>
<input
type="radio"
checked={formState.displayRules?.tenFrames === 'never'}
onChange={() => handleManualChange({
displayRules: { ...formState.displayRules, tenFrames: 'never' }
})}
/>
Minimal (no ten-frames)
</label>
</div>
<p> Manual changes may move you off the progression path</p>
</div>
)}
</div>
)
}
```
## Implementation Plan
### Phase 1: Core Infrastructure (Week 1)
**Goal**: Set up progression path system without changing UI
1. ✅ Create `progressionPath.ts` with `ProgressionStep` type
2. ✅ Define `SINGLE_CARRY_PATH` array (~6-8 steps)
3. ✅ Create utility functions:
- `getStepFromSliderValue()`
- `getSliderValueFromStep()`
- `findNearestStep()`
4. ✅ Write tests for utility functions
**Deliverable**: Progression path data structure working, tested
### Phase 2: Update Mastery Mode UI (Week 1-2)
**Goal**: Replace current MasteryModePanel with slider-based UI
1. ✅ Create new `ProgressionModePanel` component
2. ✅ Implement slider that maps to progression steps
3. ✅ Show current step info (digit count, scaffolding, description)
4. ✅ Show progress dots (mastered vs remaining)
5. ✅ Add "Advanced Controls" expandable section
6. ✅ Wire up to existing mastery database (reuse `worksheet_mastery` table)
**Deliverable**: New UI working in mastery mode
### Phase 3: Migration and Polish (Week 2)
**Goal**: Migrate old "skills" to new "steps"
1. ✅ Create migration mapping:
```typescript
const OLD_TO_NEW_SKILL_MAPPING = {
'sd-simple-regroup': 'single-carry-1d-full',
'td-ones-regroup': 'single-carry-2d-full',
'xd-ones-regroup': 'single-carry-3d-full',
// ... etc
}
```
2. ✅ Write database migration script (optional, or do lazy migration)
3. ✅ Update `AllSkillsModal` to show progression structure
4. ✅ Polish styling, add animations
5. ✅ User testing and feedback
**Deliverable**: Old mastery data works with new system
### Phase 4: Additional Paths (Week 3+)
**Goal**: Add more technique paths beyond single-carry
1. Create `BASIC_ADDITION_PATH` (no carrying)
2. Create `MULTI_CARRY_PATH` (multiple place carrying)
3. Create `SINGLE_BORROW_PATH` (subtraction)
4. Add technique selector to UI
5. Support multiple active paths simultaneously
**Deliverable**: Full progression system with all techniques
### Phase 5: Unify Modes (Future)
**Goal**: Merge Smart/Manual/Mastery into one unified UI
1. Recognize that all three modes set the same config fields
2. Create unified config panel with three "entry points":
- Guided (progression path)
- Preset (difficulty profiles)
- Advanced (manual settings)
3. Remove mode selector entirely
4. Gentle migration messaging for users
**Deliverable**: Single unified worksheet configuration UI
## Testing Strategy
### Unit Tests
- Progression path utilities (`getStepFromSliderValue`, etc.)
- Step mapping logic
- Config merging
### Integration Tests
- Slider changes update config correctly
- Manual changes find nearest step
- Database mastery tracking works
### User Testing
- Can users understand the progression path?
- Is the slider intuitive?
- Do advanced controls make sense?
## Success Metrics
1. **Ten-frames return**: Verify ten-frames show for 3-digit after being hidden for 2-digit
2. **User progression**: Students complete more steps in sequence
3. **Mastery tracking**: Database shows gradual progress through steps
4. **User feedback**: Positive feedback on clarity of progression
## Open Questions
1. **How many steps per path?**
- Current: 6 steps for single-carry (1d→2d→3d, each with 2 scaffolding levels)
- Could extend to 4d, 5d for advanced students
2. **Should we support multiple paths simultaneously?**
- User practices single-carry AND single-borrow in parallel?
- Or linear: finish single-carry before starting single-borrow?
3. **What about mixed operations?**
- Separate path for mixed add/subtract?
- Or just increase difficulty within single paths?
4. **Database migration strategy?**
- Lazy migration (map on read)?
- Batch migration script?
- Support both old and new skill IDs?
## Mode Unification Strategy
### Current State: Three Separate Modes
Users currently choose between three mutually exclusive modes:
- **Smart Difficulty**: Choose difficulty profile, get preset configs
- **Manual Control**: Set all parameters manually
- **Mastery Progression**: Follow skill-based progression
**Problem**: These feel like three different tools, but they all produce the same output (worksheet config v4).
### Proposed State: Unified Interface
**No mode selector.** One worksheet configuration UI with three "entry points":
```
┌─────────────────────────────────────────────────────────┐
│ How would you like to start? │
├─────────────────────────────────────────────────────────┤
│ ┌─────────────────┐ ┌─────────────────┐ ┌──────────┐│
│ │ 🎯 Guided Path │ │ 📊 Quick Preset │ │ ⚙️ Custom││
│ │ Follow learning │ │ Choose standard │ │ Set all ││
│ │ progression │ │ difficulty │ │ settings ││
│ └─────────────────┘ └─────────────────┘ └──────────┘│
└─────────────────────────────────────────────────────────┘
```
### The Three Entry Points
**1. Guided Path** (was "Mastery Mode"):
- Shows: Technique selector + difficulty slider
- Hides: Full configuration controls (until "Show All Settings" clicked)
- For: Teachers following curriculum, systematic learning
**2. Quick Preset** (was "Smart Difficulty"):
- Shows: Preset difficulty buttons (Beginner/Intermediate/Advanced/Expert)
- Hides: Full configuration controls (until "Show All Settings" clicked)
- For: Quick worksheet generation at standard levels
**3. Custom** (was "Manual Control"):
- Shows: Full configuration panel immediately
- Hides: Nothing (power user mode)
- For: Fine-grained control over all settings
### The Convergence: Progressive Disclosure
All three entry points lead to **the same underlying configuration**:
- **Guided Path** and **Quick Preset** start collapsed, showing simplified controls
- Clicking "Show All Settings" reveals the **full configuration panel**
- **Custom** starts with full panel already visible
**They're the same interface**, just with different default visibility states.
### Migration Phases
**Phase 1**: Keep three modes (current), fix mastery bugs
- No UI changes
- Fix ten-frames cycling issue
- Users see familiar interface
**Phase 2**: Add "Unified Mode" as 4th option
- New users default to unified interface
- Existing users can opt-in to try it
- Gather feedback, iterate
- Old modes remain available
**Phase 3**: Make unified the default
- New users see unified by default
- Existing users can still use old modes
- Deprecation notice on classic modes
**Phase 4**: Remove old modes (breaking change)
- Only unified interface remains
- Auto-migrate saved configs
- One-time user migration guide
### Benefits
1. **Simpler mental model**: One worksheet generator with different starting points
2. **Progressive disclosure**: Beginners not overwhelmed, experts get full control
3. **Smooth learning curve**: Start simple, gradually reveal complexity
4. **Less code**: One component instead of three
5. **No mode confusion**: No "which mode should I use?" decision paralysis
6. **Same output**: All paths produce worksheet config v4
## Summary
**What we're building**: A slider-based UI that follows a curated learning path through (digit count × regrouping × scaffolding) space.
**Why it works**: The path zig-zags to reintroduce scaffolding as complexity increases, solving the ten-frames problem.
**What doesn't change**: Worksheet config format (still v4), database schema, problem generation logic.
**What does change**: Mastery mode UI becomes "Guided Path" entry point, eventually merges with other modes.
**End goal**: One unified worksheet configuration interface with three entry points (Guided/Preset/Custom) instead of three separate modes.

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# Mastery System - Simplified for Worksheet Generation
## Core Principle
**Mastery mode is a configuration helper, not a game.**
It helps users quickly configure appropriate problem sets based on what skills have been mastered. No timers, no auto-advance, no time-based logic.
---
## Auto-Advance: REMOVED
**What we had**: Auto-advance toast with 5s timer
**What we need**: Just update the UI state, no automatic changes
**New behavior when user marks skill as mastered**:
```
User clicks "Mark as Mastered" on skill
Update mastery state in database
Update UI (checkmark, status indicator)
THAT'S IT. Stay on current skill.
```
**To move to next skill**:
- User explicitly clicks "Practice This" on a different skill
- OR uses "Next Skill" / "Previous Skill" navigation buttons
**Rationale**: This is a worksheet generator. Users are configuring worksheets, not playing a progression game. They should have full control over what they're generating.
---
## Review Selection: Dependency Graph Only (No Time)
### Recency Windows: REMOVED
**What we had**: Time-based recency (30 days, 21 days, etc.)
**What we need**: Graph-based recency using prerequisite paths
### New Algorithm: "Recent in Dependency Graph"
**Definition**: A skill is "recently mastered" relative to current skill if it's on the **direct path** from root to current skill.
```typescript
/**
* Get review skills based on dependency graph path
* Returns skills that are direct prerequisites of current skill
*/
function getReviewSkills(
currentSkill: SkillDefinition,
masteryStates: Map<SkillId, MasteryState>
): SkillId[] {
// Simply return the current skill's recommendedReview list,
// filtered to only include mastered skills
return currentSkill.recommendedReview.filter(skillId => {
const state = masteryStates.get(skillId);
return state?.isMastered === true;
});
}
```
**Example**:
Current skill: `td-mixed-regroup`
```
Dependency path:
sd-no-regroup → sd-simple-regroup → td-no-regroup → td-ones-regroup → td-mixed-regroup
^^^^^^^^^^^^^^^^
(you are here)
recommendedReview: ["td-no-regroup", "td-ones-regroup"]
```
**Review skills** (if mastered):
- `td-no-regroup` ✓ (if mastered)
- `td-ones-regroup` ✓ (if mastered)
That's it. No time calculations, no recency windows. Just "what's immediately behind you in the graph?"
---
## Simplified Skill Definitions
```typescript
export interface SkillDefinition {
id: SkillId;
name: string;
description: string;
operator: "addition" | "subtraction";
// Problem generation
digitRange: { min: number; max: number };
regroupingConfig: { pAnyStart: number; pAllStart: number };
recommendedScaffolding: DisplayRules;
recommendedProblemCount: number;
// Mastery validation (future)
masteryThreshold: number; // e.g., 0.85 = 85% accuracy
minimumAttempts: number;
// Dependency graph
prerequisites: SkillId[]; // Must master these first
recommendedReview: SkillId[]; // Include these in review mix (1-2 recent prerequisites)
}
```
**Key change**: `recommendedReview` is **hand-curated**, not calculated. It's the 1-2 most relevant prerequisites for this skill.
### Example Definitions
```typescript
export const SKILL_DEFINITIONS: SkillDefinition[] = [
// Single-digit
{
id: "sd-no-regroup",
name: "Single-digit without regrouping",
description: "3+5, 2+4",
operator: "addition",
digitRange: { min: 1, max: 1 },
regroupingConfig: { pAnyStart: 0, pAllStart: 0 },
recommendedScaffolding: { /* full scaffolding */ },
recommendedProblemCount: 20,
masteryThreshold: 0.9,
minimumAttempts: 20,
prerequisites: [],
recommendedReview: [], // First skill, no review
},
{
id: "sd-simple-regroup",
name: "Single-digit with regrouping",
description: "7+8, 9+6",
operator: "addition",
digitRange: { min: 1, max: 1 },
regroupingConfig: { pAnyStart: 1.0, pAllStart: 0 },
recommendedScaffolding: { /* high scaffolding */ },
recommendedProblemCount: 20,
masteryThreshold: 0.9,
minimumAttempts: 20,
prerequisites: ["sd-no-regroup"],
recommendedReview: ["sd-no-regroup"], // Review the immediate prerequisite
},
// Two-digit
{
id: "td-no-regroup",
name: "Two-digit without regrouping",
description: "23+45, 31+28",
operator: "addition",
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0, pAllStart: 0 },
recommendedScaffolding: { /* medium scaffolding */ },
recommendedProblemCount: 15,
masteryThreshold: 0.85,
minimumAttempts: 15,
prerequisites: ["sd-simple-regroup"],
recommendedReview: ["sd-simple-regroup"], // Keep single-digit sharp
},
{
id: "td-ones-regroup",
name: "Two-digit with ones place regrouping",
description: "38+27, 49+15",
operator: "addition",
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0.5, pAllStart: 0 },
recommendedScaffolding: { /* medium scaffolding */ },
recommendedProblemCount: 15,
masteryThreshold: 0.85,
minimumAttempts: 15,
prerequisites: ["td-no-regroup"],
recommendedReview: ["td-no-regroup"], // Focus on alignment + new regrouping
},
{
id: "td-mixed-regroup",
name: "Two-digit with mixed regrouping",
description: "67+58, 84+73",
operator: "addition",
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0.7, pAllStart: 0.2 },
recommendedScaffolding: { /* reduced scaffolding */ },
recommendedProblemCount: 15,
masteryThreshold: 0.85,
minimumAttempts: 15,
prerequisites: ["td-ones-regroup"],
recommendedReview: ["td-no-regroup", "td-ones-regroup"], // Review both recent skills
},
{
id: "td-full-regroup",
name: "Two-digit with frequent regrouping",
description: "88+99, 76+67",
operator: "addition",
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0.9, pAllStart: 0.5 },
recommendedScaffolding: { /* minimal scaffolding */ },
recommendedProblemCount: 15,
masteryThreshold: 0.8,
minimumAttempts: 15,
prerequisites: ["td-mixed-regroup"],
recommendedReview: ["td-ones-regroup", "td-mixed-regroup"], // Most recent two
},
// Three-digit
{
id: "3d-no-regroup",
name: "Three-digit without regrouping",
description: "234+451, 123+456",
operator: "addition",
digitRange: { min: 3, max: 3 },
regroupingConfig: { pAnyStart: 0, pAllStart: 0 },
recommendedScaffolding: { /* reduced scaffolding */ },
recommendedProblemCount: 12,
masteryThreshold: 0.85,
minimumAttempts: 12,
prerequisites: ["td-full-regroup"],
recommendedReview: ["td-mixed-regroup", "td-full-regroup"], // Keep 2-digit fresh
},
{
id: "3d-simple-regroup",
name: "Three-digit with occasional regrouping",
description: "367+258, 484+273",
operator: "addition",
digitRange: { min: 3, max: 3 },
regroupingConfig: { pAnyStart: 0.5, pAllStart: 0.1 },
recommendedScaffolding: { /* minimal scaffolding */ },
recommendedProblemCount: 12,
masteryThreshold: 0.8,
minimumAttempts: 12,
prerequisites: ["3d-no-regroup"],
recommendedReview: ["td-full-regroup", "3d-no-regroup"], // Bridge from 2d to 3d
},
{
id: "3d-full-regroup",
name: "Three-digit with frequent regrouping",
description: "888+999, 767+676",
operator: "addition",
digitRange: { min: 3, max: 3 },
regroupingConfig: { pAnyStart: 0.9, pAllStart: 0.6 },
recommendedScaffolding: { /* minimal scaffolding */ },
recommendedProblemCount: 12,
masteryThreshold: 0.8,
minimumAttempts: 12,
prerequisites: ["3d-simple-regroup"],
recommendedReview: ["3d-no-regroup", "3d-simple-regroup"], // Recent 3d only
},
// Four/five-digit
{
id: "4d-mastery",
name: "Four-digit mastery",
description: "3847+2956",
operator: "addition",
digitRange: { min: 4, max: 4 },
regroupingConfig: { pAnyStart: 0.8, pAllStart: 0.4 },
recommendedScaffolding: { /* minimal scaffolding */ },
recommendedProblemCount: 10,
masteryThreshold: 0.8,
minimumAttempts: 10,
prerequisites: ["3d-full-regroup"],
recommendedReview: ["3d-simple-regroup", "3d-full-regroup"], // Keep 3d sharp
},
{
id: "5d-mastery",
name: "Five-digit mastery",
description: "38472+29563",
operator: "addition",
digitRange: { min: 5, max: 5 },
regroupingConfig: { pAnyStart: 0.85, pAllStart: 0.5 },
recommendedScaffolding: { /* minimal scaffolding */ },
recommendedProblemCount: 10,
masteryThreshold: 0.75,
minimumAttempts: 10,
prerequisites: ["4d-mastery"],
recommendedReview: ["3d-full-regroup", "4d-mastery"], // High-level review
},
];
```
---
## Review Distribution Algorithm (Simplified)
```typescript
/**
* Distribute review problems across mastered skills from recommendedReview list
*/
function distributeReviewProblems(
currentSkill: SkillDefinition,
masteryStates: Map<SkillId, MasteryState>,
totalReviewCount: number
): Map<SkillId, number> {
// Get mastered skills from recommendedReview list
const reviewSkills = currentSkill.recommendedReview.filter(skillId => {
const state = masteryStates.get(skillId);
return state?.isMastered === true;
});
const distribution = new Map<SkillId, number>();
if (reviewSkills.length === 0) {
return distribution; // No review skills available
}
if (reviewSkills.length === 1) {
// Only one review skill: give it all review problems
distribution.set(reviewSkills[0], totalReviewCount);
return distribution;
}
// Multiple review skills: distribute evenly
const baseCount = Math.floor(totalReviewCount / reviewSkills.length);
const remainder = totalReviewCount % reviewSkills.length;
reviewSkills.forEach((skillId, index) => {
const count = baseCount + (index < remainder ? 1 : 0);
distribution.set(skillId, count);
});
return distribution;
}
```
**Example**:
Current skill: `td-mixed-regroup`
- `recommendedReview`: `["td-no-regroup", "td-ones-regroup"]`
Mastery state:
- `td-no-regroup`: ✓ mastered
- `td-ones-regroup`: ✓ mastered
Total review problems: 5
**Distribution**:
- `td-no-regroup`: 2 problems
- `td-ones-regroup`: 3 problems
Simple, deterministic, no time involved.
---
## UI Changes (Simplified)
### 1. Remove Auto-Advance Toast
**Old**: Toast with 5s timer
**New**: Simple confirmation message, no timer
```typescript
// When user marks skill as mastered
function handleMarkAsMastered(skillId: SkillId) {
// Update database
await updateMasteryState(skillId, true);
// Show simple confirmation
toast.success("Skill marked as mastered!");
// Update UI state
setMasteryStates(prev => new Map(prev).set(skillId, {
...prev.get(skillId)!,
isMastered: true,
masteredAt: new Date()
}));
// THAT'S IT. No auto-advance, no timers.
}
```
### 2. Navigation Buttons for Moving Between Skills
**New UI element**: Simple previous/next buttons
```
┌─────────────────────────────────────────────────────────┐
│ Current Skill: Two-digit ones regrouping ✓ │
│ │
│ [← Previous Skill] [Mark as Mastered] [Next Skill →] │
└─────────────────────────────────────────────────────────┘
```
```typescript
function handleNextSkill() {
const nextSkill = findNextSkill(currentSkillId, masteryStates);
if (nextSkill) {
setCurrentSkillId(nextSkill.id);
// Regenerate preview with new skill
}
}
function handlePreviousSkill() {
const prevSkill = findPreviousSkill(currentSkillId, masteryStates);
if (prevSkill) {
setCurrentSkillId(prevSkill.id);
// Regenerate preview with new skill
}
}
```
### 3. "All Skills" Modal - Simplified
**Old**: Fancy tech tree with auto-selection
**New**: Simple list with click-to-select
```
┌─────────────────────────────────────────────────────────────┐
│ All Skills - Addition ×
│ ───────────────────────────────────────────────────────── │
│ │
│ ✓ Single-digit without regrouping │
│ [Practice This] [Unmark] │
│ │
│ ✓ Single-digit with regrouping │
│ [Practice This] [Unmark] │
│ │
│ ✓ Two-digit without regrouping │
│ [Practice This] [Unmark] │
│ │
│ ⭐ Two-digit with ones regrouping (Current) │
│ [Mark as Mastered] │
│ │
│ ○ Two-digit with mixed regrouping │
│ [Practice This] │
│ │
│ ⊘ Two-digit with frequent regrouping │
│ Locked - requires: Two-digit with mixed regrouping │
│ │
│ Progress: 3/11 skills mastered │
└─────────────────────────────────────────────────────────────┘
```
**Actions**:
- **Practice This**: Switch to this skill as current
- **Mark as Mastered**: Toggle mastery state
- **Unmark**: Remove mastery status
No timers, no auto-progression, just simple configuration.
---
## Summary of Simplifications
### What We Removed
1. ❌ Auto-advance toast with 5s timer
2. ❌ Time-based recency windows (30d, 21d, 7d)
3. ❌ Time-based filtering of review skills
4. ❌ Complex sorting by recency timestamp
### What We Kept
1. ✅ Mastery tracking (boolean per skill)
2. ✅ Dependency graph (prerequisites)
3. ✅ Hand-curated recommendedReview lists
4. ✅ User-adjustable mix ratio (0-100% review)
5. ✅ Manual skill selection
6. ✅ Simple navigation (prev/next buttons)
### Core Philosophy
**Mastery mode = Smart configuration preset**
It's like the existing difficulty presets ("Beginner", "Practice", "Expert"), but:
- Organized by skill progression
- Remembers what you've mastered
- Automatically mixes review problems
- User has full manual control
**Not a game. Just a helpful configuration tool.**
---
## Implementation Phases (Updated)
### Phase 1: Foundation
1. Create `worksheet_mastery` table
2. Define `SKILL_DEFINITIONS` array with hand-curated `recommendedReview` lists
3. Implement simple review selection (filter by mastery, distribute evenly)
4. Add mastery GET/POST API endpoints
### Phase 2: Basic UI
5. Add mode selector (Smart/Manual/Mastery)
6. Add MasteryModePanel with mix visualization
7. Add prev/next navigation buttons
8. Add "Mark as Mastered" button
### Phase 3: Skills Modal
9. Add "All Skills" modal with simple list
10. Add click-to-select skill navigation
11. Add manual mastery toggle per skill
### Phase 4: Customization
12. Add "Customize Mix" modal with ratio slider
13. Add manual review skill selection checkboxes
14. Wire up custom mix to problem generator
Sound better?

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# Mastery System Integration Plan
## Overview
Add a **skill mastery tracking system** layered onto the existing smart difficulty mode. Students progress through discrete skills, with worksheets automatically mixing review problems with focused practice on skills approaching mastery.
**Core principle**: Mastery is **boolean per skill** - you either have mastered it or you haven't. Practice worksheets mix 70-80% current skill + 20-30% review of mastered skills.
---
## Skill Taxonomy (Based on Pedagogical Progression)
### Single-Digit Skills (1-digit operands)
These focus on **number parsing, basic counting, small regrouping, and low organizational demands**.
1. **`sd-no-regroup`** - Single-digit addition without regrouping (3+5, 2+4)
- Challenges: Reading numbers, basic counting, understanding the operation
- Mastery criteria: 90%+ accuracy on 20 problems
2. **`sd-simple-regroup`** - Single-digit addition with regrouping (7+8, 9+6)
- Challenges: Understanding "making ten", small regrouping, place value introduction
- Mastery criteria: 90%+ accuracy on 20 problems
### Two-Digit Skills (2-digit operands)
These require **alignment, high organization, pattern application, and place value understanding**.
3. **`td-no-regroup`** - Two-digit addition without regrouping (23+45, 31+28)
- Challenges: Alignment, applying pattern to two places, understanding columns
- Mastery criteria: 90%+ accuracy on 15 problems
4. **`td-ones-regroup`** - Two-digit addition with regrouping in ones place only (38+27, 49+15)
- Challenges: Carrying from ones to tens, managing two-step process
- Mastery criteria: 85%+ accuracy on 15 problems
5. **`td-mixed-regroup`** - Two-digit addition with occasional tens regrouping (67+58, 84+73)
- Challenges: Handling regrouping in both positions (not always)
- Mastery criteria: 85%+ accuracy on 15 problems
6. **`td-full-regroup`** - Two-digit addition with frequent regrouping (88+99, 76+67)
- Challenges: High cognitive load, complex regrouping patterns
- Mastery criteria: 80%+ accuracy on 15 problems
### Three-Digit Skills (3-digit operands)
These require **generalizing patterns** already learned in two-digit work.
7. **`3d-no-regroup`** - Three-digit addition without regrouping (234+451, 123+456)
- Challenges: Applying known patterns to more columns, sustained attention
- Mastery criteria: 85%+ accuracy on 12 problems
8. **`3d-simple-regroup`** - Three-digit with occasional regrouping (367+258, 484+273)
- Challenges: Extending regrouping patterns to three places
- Mastery criteria: 80%+ accuracy on 12 problems
9. **`3d-full-regroup`** - Three-digit with frequent complex regrouping (888+999, 767+676)
- Challenges: Sustained focus, managing multiple carries
- Mastery criteria: 80%+ accuracy on 12 problems
### Four+ Digit Skills (4-5 digit operands)
10. **`4d-mastery`** - Four-digit addition with varied regrouping (3847+2956)
- Challenges: Sustained attention, confidence with larger numbers
- Mastery criteria: 80%+ accuracy on 10 problems
11. **`5d-mastery`** - Five-digit addition (master level) (38472+29563)
- Challenges: Full generalization, independence
- Mastery criteria: 75%+ accuracy on 10 problems
### Subtraction Skills (Mirror progression)
12. **`sd-sub-no-borrow`** - Single-digit subtraction without borrowing (8-3, 9-4)
13. **`sd-sub-borrow`** - Single-digit subtraction with borrowing (13-7, 15-8)
14. **`td-sub-no-borrow`** - Two-digit subtraction without borrowing (68-43)
15. **`td-sub-ones-borrow`** - Two-digit subtraction with borrowing in ones (52-27)
16. **`td-sub-mixed-borrow`** - Two-digit subtraction with occasional tens borrowing
17. **`td-sub-full-borrow`** - Two-digit subtraction with frequent borrowing (91-78)
18. **`3d-sub-simple`** - Three-digit subtraction with occasional borrowing
19. **`3d-sub-complex`** - Three-digit subtraction with frequent borrowing
20. **`4d-sub-mastery`** - Four-digit subtraction mastery
21. **`5d-sub-mastery`** - Five-digit subtraction mastery
---
## Data Model
### Database Schema (worksheet_mastery table)
```typescript
export const worksheetMastery = sqliteTable("worksheet_mastery", {
id: text("id").primaryKey(),
userId: text("user_id").notNull().references(() => users.id, { onDelete: "cascade" }),
skillId: text("skill_id").notNull(), // e.g., "td-ones-regroup"
// Mastery tracking
isMastered: integer("is_mastered", { mode: "boolean" }).notNull().default(false),
// Evidence for mastery (for future validation)
totalAttempts: integer("total_attempts").notNull().default(0),
correctAttempts: integer("correct_attempts").notNull().default(0),
lastAccuracy: real("last_accuracy"), // 0.0-1.0, most recent worksheet accuracy
// Timestamps
firstAttemptAt: integer("first_attempt_at", { mode: "timestamp" }),
masteredAt: integer("mastered_at", { mode: "timestamp" }),
lastPracticedAt: integer("last_practiced_at", { mode: "timestamp" }).notNull(),
updatedAt: integer("updated_at", { mode: "timestamp" }).notNull(),
createdAt: integer("created_at", { mode: "timestamp" }).notNull(),
});
// Composite index for fast user+skill lookups
export const worksheetMasteryIndex = index("worksheet_mastery_user_skill_idx")
.on(worksheetMastery.userId, worksheetMastery.skillId);
```
### TypeScript Types
```typescript
export type SkillId =
// Single-digit addition
| "sd-no-regroup"
| "sd-simple-regroup"
// Two-digit addition
| "td-no-regroup"
| "td-ones-regroup"
| "td-mixed-regroup"
| "td-full-regroup"
// Three-digit addition
| "3d-no-regroup"
| "3d-simple-regroup"
| "3d-full-regroup"
// Four/five-digit addition
| "4d-mastery"
| "5d-mastery"
// Single-digit subtraction
| "sd-sub-no-borrow"
| "sd-sub-borrow"
// Two-digit subtraction
| "td-sub-no-borrow"
| "td-sub-ones-borrow"
| "td-sub-mixed-borrow"
| "td-sub-full-borrow"
// Three-digit subtraction
| "3d-sub-simple"
| "3d-sub-complex"
// Four/five-digit subtraction
| "4d-sub-mastery"
| "5d-sub-mastery";
export interface SkillDefinition {
id: SkillId;
name: string;
description: string;
operator: "addition" | "subtraction";
// Problem generation constraints
digitRange: { min: number; max: number };
regroupingConfig: {
pAnyStart: number;
pAllStart: number;
};
// Pedagogical settings
recommendedScaffolding: DisplayRules;
recommendedProblemCount: number;
// Mastery validation (for future)
masteryThreshold: number; // e.g., 0.85 = 85% accuracy
minimumAttempts: number; // e.g., 15 problems to qualify
// Prerequisites (skills that should be mastered first)
prerequisites: SkillId[];
}
export interface MasteryState {
userId: string;
skillId: SkillId;
isMastered: boolean;
totalAttempts: number;
correctAttempts: number;
lastAccuracy: number | null;
masteredAt: Date | null;
lastPracticedAt: Date;
}
```
---
## Integration with Smart Difficulty
### Current Smart Difficulty Flow
```
User adjusts difficulty slider
makeHarder/makeEasier functions
Update pAnyStart, pAllStart, displayRules
Generate problems based on probabilities
```
### New Mastery-Enhanced Flow
```
User selects "Mastery Mode" (new toggle in UI)
System identifies current skill to practice
(first non-mastered skill with prerequisites met)
Load skill definition (digitRange, regrouping config, scaffolding)
Generate mixed worksheet:
- 70-80% current skill problems
- 20-30% review from mastered skills (random selection)
User completes worksheet (future: submit for grading)
Update mastery state (future: based on accuracy)
```
### Skill Selection Algorithm
```typescript
/**
* Find the next skill to practice based on mastery state
*/
function findNextSkill(
masteryStates: Map<SkillId, MasteryState>,
operator: "addition" | "subtraction"
): SkillId | null {
const skills = SKILL_DEFINITIONS.filter(s => s.operator === operator);
for (const skill of skills) {
// Check if already mastered
const state = masteryStates.get(skill.id);
if (state?.isMastered) continue;
// Check if prerequisites are met
const prereqsMet = skill.prerequisites.every(prereqId => {
const prereqState = masteryStates.get(prereqId);
return prereqState?.isMastered === true;
});
if (!prereqsMet) continue;
// Found first non-mastered skill with prerequisites met
return skill.id;
}
return null; // All skills mastered!
}
```
### Problem Generation with Mastery Mix
```typescript
/**
* Generate problems for mastery practice worksheet
*/
function generateMasteryWorksheet(
currentSkill: SkillDefinition,
masteredSkills: SkillDefinition[],
total: number,
rng: SeededRandom
): WorksheetProblem[] {
const currentSkillCount = Math.floor(total * 0.75); // 75% current skill
const reviewCount = total - currentSkillCount; // 25% review
const problems: WorksheetProblem[] = [];
// Generate current skill problems
for (let i = 0; i < currentSkillCount; i++) {
problems.push(generateProblemForSkill(currentSkill, rng));
}
// Generate review problems from mastered skills
for (let i = 0; i < reviewCount; i++) {
if (masteredSkills.length === 0) {
// No mastered skills yet, generate more current skill problems
problems.push(generateProblemForSkill(currentSkill, rng));
} else {
// Pick random mastered skill
const reviewSkill = masteredSkills[Math.floor(rng.random() * masteredSkills.length)];
problems.push(generateProblemForSkill(reviewSkill, rng));
}
}
// Shuffle to mix review and practice
return shuffleArray(problems, rng);
}
/**
* Generate a single problem matching skill definition
*/
function generateProblemForSkill(
skill: SkillDefinition,
rng: SeededRandom
): WorksheetProblem {
// Use skill's digitRange and regrouping config
return generateProblem(
skill.digitRange,
skill.regroupingConfig.pAnyStart,
skill.regroupingConfig.pAllStart,
rng
);
}
```
---
## UI Changes
### Config Panel - New Mastery Mode Toggle
Add to `SmartModeControls.tsx`:
```typescript
<div data-section="mastery-mode-toggle">
<label>
<input
type="checkbox"
checked={formState.masteryMode ?? false}
onChange={(e) => onChange({ masteryMode: e.target.checked })}
/>
<span>Mastery Mode</span>
</label>
<p className={css({ fontSize: "0.875rem", color: "gray.600" })}>
Practice one skill at a time with automatic review of mastered skills
</p>
</div>
{formState.masteryMode && (
<div data-section="current-skill-indicator">
<p>Current skill: <strong>{currentSkill.name}</strong></p>
<p>{currentSkill.description}</p>
<div>
Progress: {masteredCount}/{totalSkills} skills mastered
</div>
</div>
)}
```
### Skill Progress Indicator
New component to show skill progression:
```typescript
<div data-component="skill-progress">
{SKILL_DEFINITIONS
.filter(s => s.operator === formState.operator)
.map(skill => {
const state = masteryStates.get(skill.id);
const isMastered = state?.isMastered ?? false;
const isCurrent = skill.id === currentSkill.id;
const prereqsMet = checkPrereqs(skill, masteryStates);
return (
<div
key={skill.id}
className={css({
display: "flex",
alignItems: "center",
gap: "0.5rem",
padding: "0.5rem",
backgroundColor: isCurrent ? "blue.50" : "transparent",
borderLeft: isCurrent ? "3px solid blue.500" : "none"
})}
>
<div>
{isMastered ? "✓" : prereqsMet ? "○" : "⊘"}
</div>
<div>
<div>{skill.name}</div>
{state && !isMastered && (
<div className={css({ fontSize: "0.75rem", color: "gray.600" })}>
{state.totalAttempts} attempts, {Math.round((state.lastAccuracy ?? 0) * 100)}% accuracy
</div>
)}
</div>
</div>
);
})
}
</div>
```
---
## API Changes
### New Endpoint: `/api/worksheets/mastery`
```typescript
// GET /api/worksheets/mastery
// Returns user's mastery state for all skills
export async function GET(req: Request) {
const session = await getServerSession();
if (!session?.user?.id) {
return NextResponse.json({ error: "Unauthorized" }, { status: 401 });
}
const masteryRecords = await db
.select()
.from(worksheetMastery)
.where(eq(worksheetMastery.userId, session.user.id));
return NextResponse.json({ mastery: masteryRecords });
}
// POST /api/worksheets/mastery
// Update mastery state for a skill (manual toggle or future grading)
export async function POST(req: Request) {
const session = await getServerSession();
if (!session?.user?.id) {
return NextResponse.json({ error: "Unauthorized" }, { status: 401 });
}
const { skillId, isMastered } = await req.json();
// Validate skillId
if (!SKILL_IDS.includes(skillId)) {
return NextResponse.json({ error: "Invalid skill ID" }, { status: 400 });
}
// Upsert mastery record
await db
.insert(worksheetMastery)
.values({
id: crypto.randomUUID(),
userId: session.user.id,
skillId,
isMastered,
masteredAt: isMastered ? new Date() : null,
lastPracticedAt: new Date(),
updatedAt: new Date(),
createdAt: new Date(),
})
.onConflictDoUpdate({
target: [worksheetMastery.userId, worksheetMastery.skillId],
set: {
isMastered,
masteredAt: isMastered ? new Date() : null,
updatedAt: new Date(),
},
});
return NextResponse.json({ success: true });
}
```
---
## Config Schema Changes (V5)
Add `masteryMode` and `currentSkillId` to worksheet config:
```typescript
export const additionConfigV5SmartSchema = z.object({
version: z.literal(5),
mode: z.literal("smart"),
// Existing V4 fields
problemsPerPage: z.number().int().min(1).max(100),
cols: z.number().int().min(1).max(10),
pages: z.number().int().min(1).max(10),
orientation: z.enum(["portrait", "landscape"]),
name: z.string().max(100),
digitRange: z.object({
min: z.number().int().min(1).max(5),
max: z.number().int().min(1).max(5),
}),
operator: z.enum(["addition", "subtraction", "mixed"]),
fontSize: z.number().int().min(8).max(32),
// Smart mode specific
displayRules: displayRulesSchema,
difficultyProfile: z.string().optional(),
// NEW: Mastery mode fields
masteryMode: z.boolean().optional(), // Enable mastery-based practice
currentSkillId: z.string().optional(), // Which skill to practice (auto-selected if not set)
});
// Migration V4 → V5
function migrateAdditionV4toV5(v4: AdditionConfigV4): AdditionConfigV5 {
return {
...v4,
version: 5,
masteryMode: false, // Default: off
currentSkillId: undefined, // Auto-select based on mastery state
};
}
```
---
## Implementation Phases
### Phase 1: Foundation (No UI changes yet)
1. Create database migration for `worksheet_mastery` table
2. Define `SKILL_DEFINITIONS` array with all 21 skills
3. Implement `findNextSkill()` algorithm
4. Implement `generateMasteryWorksheet()` function
5. Add mastery GET/POST API endpoints
### Phase 2: Basic UI Integration
6. Add mastery mode toggle to Smart Mode Controls
7. Add current skill indicator
8. Wire up mastery mode to problem generator
9. Test with manual mastery toggles
### Phase 3: Progress Tracking
10. Add skill progress visualization
11. Show mastery status for each skill
12. Add manual mastery toggle per skill (teacher/parent override)
### Phase 4: Future - Automatic Validation
13. Add worksheet submission endpoint
14. Implement grading logic
15. Automatic mastery updates based on accuracy
16. Student feedback on mastery progress
---
## Open Questions
1. **Should mastery be per-user or per-student-profile?**
- Current: per-user (one mastery state per user account)
- Alternative: per-student (parent account can track multiple children)
2. **Should we allow manual mastery override?**
- YES for Phase 3 (teacher/parent can mark skill as mastered)
- Future: Require both manual + validation evidence
3. **What's the review mix percentage?**
- Proposed: 75% current skill, 25% review
- Should this be configurable?
4. **How do we handle "mixed" operator worksheets?**
- Option A: Disable mastery mode for "mixed" (only works for pure addition or subtraction)
- Option B: Track addition and subtraction mastery separately, mix review from both
5. **Should digit range be locked when in mastery mode?**
- YES - mastery mode overrides digit range (determined by current skill)
- User can still use manual difficulty mode if they want full control
---
## Pedagogical Notes
### Why This Progression Works
1. **Single-digit first** - Builds number sense and basic operation understanding without organizational complexity
2. **Two-digit is the critical phase** - Introduces alignment, place value, and pattern application (hardest cognitive leap)
3. **Three-digit is pattern generalization** - If you master two-digit, three-digit is mostly more of the same
4. **Four/five-digit is confidence building** - Proves they can handle "big scary numbers"
### Why Mastery Mix Matters
- **Pure practice is boring** - Drilling only one skill leads to disengagement
- **Review prevents forgetting** - Spaced repetition of mastered skills
- **Mixed practice builds fluency** - Switching between skills improves transfer
- **70/30 ratio is pedagogically sound** - Majority practice on current skill, enough review to maintain mastery
### Scaffolding Considerations
- Early skills (sd-*, td-no-regroup) should have HIGH scaffolding
- Middle skills (td-ones-regroup, td-mixed-regroup) should have MEDIUM scaffolding
- Advanced skills (3d-*, 4d-*, 5d-*) should have LOW scaffolding
- Mastery mode should respect recommended scaffolding for each skill

View File

@@ -0,0 +1,863 @@
# Mastery Mode UI Plan
## Design Principles
1. **Transparency**: Always show what's in the mix and why
2. **Progressive disclosure**: Simple by default, detailed on demand
3. **Consistent patterns**: Reuse existing UI patterns (like difficulty preset dropdown)
4. **No surprises**: Clear indication when mastery mode changes behavior
---
## UI Components
### 1. Mode Selector (Top of Config Panel)
**Current**: Just shows "Smart" vs "Manual" mode tabs
**New**: Add third option for "Mastery"
```
┌─────────────────────────────────────────┐
│ ┌───────┬────────┬─────────┐ │
│ │ Smart │ Manual │ Mastery │ │
│ └───────┴────────┴─────────┘ │
│ ^^^^^^^^^ NEW │
└─────────────────────────────────────────┘
```
**Component**: `ModeSelector.tsx`
```typescript
<div data-component="mode-selector">
<button
data-mode="smart"
className={css({ /* active styles if selected */ })}
onClick={() => onChange({ mode: "smart", masteryMode: false })}
>
Smart
</button>
<button
data-mode="manual"
className={css({ /* active styles if selected */ })}
onClick={() => onChange({ mode: "manual", masteryMode: false })}
>
Manual
</button>
<button
data-mode="mastery"
className={css({ /* active styles if selected */ })}
onClick={() => onChange({ mode: "smart", masteryMode: true })}
>
Mastery
</button>
</div>
```
---
### 2. Mastery Mode Panel (Replaces Smart/Manual Controls)
When mastery mode is active, replace the difficulty slider with mastery-specific controls.
```
┌─────────────────────────────────────────────────────────┐
│ Current Skill: Two-digit with ones regrouping ✓ │
│ ─────────────────────────────────────────────────────── │
│ │
│ 📊 Worksheet Mix (20 problems) │
│ │
│ ┌──────────────────────────────────────────────┐ │
│ │ 15 problems │ Two-digit + ones regrouping │ 75% │
│ │ (current) │ Example: 38 + 27 │ │
│ └──────────────────────────────────────────────┘ │
│ │
│ ┌──────────────────────────────────────────────┐ │
│ │ 5 problems │ Review: Mixed mastered skills │ 25% │
│ │ (review) │ • 2 problems: Single-digit │ │
│ │ │ • 3 problems: Two-digit simple│ │
│ └──────────────────────────────────────────────┘ │
│ │
│ ⚙️ Scaffolding (recommended for this skill) │
│ • Carry boxes when regrouping │
│ • Answer boxes always visible │
│ • Place value colors always visible │
│ • Ten-frames when regrouping │
│ │
│ [ View All Skills ] [ Customize Mix ] │
└─────────────────────────────────────────────────────────┘
```
**Component**: `MasteryModePanel.tsx`
```typescript
interface MasteryModePanelProps {
currentSkill: SkillDefinition;
masteryStates: Map<SkillId, MasteryState>;
totalProblems: number;
onCustomize: () => void;
onViewAllSkills: () => void;
}
export function MasteryModePanel({
currentSkill,
masteryStates,
totalProblems,
onCustomize,
onViewAllSkills,
}: MasteryModePanelProps) {
const masteredSkills = getMasteredSkills(masteryStates, currentSkill.operator);
const currentCount = Math.floor(totalProblems * 0.75);
const reviewCount = totalProblems - currentCount;
// Calculate review breakdown (how review problems are distributed)
const reviewBreakdown = calculateReviewBreakdown(masteredSkills, reviewCount);
return (
<div data-component="mastery-mode-panel">
{/* Current skill header */}
<div data-section="current-skill-header">
<h3>{currentSkill.name}</h3>
<p className={css({ fontSize: "0.875rem", color: "gray.600" })}>
{currentSkill.description}
</p>
</div>
{/* Worksheet mix visualization */}
<div data-section="worksheet-mix">
<h4>📊 Worksheet Mix ({totalProblems} problems)</h4>
{/* Current skill block */}
<div data-element="current-skill-block" className={css({
border: "2px solid blue.500",
borderRadius: "8px",
padding: "1rem",
marginBottom: "0.5rem"
})}>
<div className={css({ display: "flex", justifyContent: "space-between" })}>
<div>
<strong>{currentCount} problems</strong>
<span className={css({ color: "gray.600", marginLeft: "0.5rem" })}>
(current)
</span>
</div>
<div className={css({ fontWeight: "bold", color: "blue.600" })}>
{Math.round((currentCount / totalProblems) * 100)}%
</div>
</div>
<div className={css({ marginTop: "0.5rem" })}>
<div>{currentSkill.name}</div>
<div className={css({ fontSize: "0.875rem", color: "gray.600" })}>
Example: {generateExampleProblem(currentSkill)}
</div>
</div>
</div>
{/* Review block */}
<div data-element="review-block" className={css({
border: "2px solid green.500",
borderRadius: "8px",
padding: "1rem"
})}>
<div className={css({ display: "flex", justifyContent: "space-between" })}>
<div>
<strong>{reviewCount} problems</strong>
<span className={css({ color: "gray.600", marginLeft: "0.5rem" })}>
(review)
</span>
</div>
<div className={css({ fontWeight: "bold", color: "green.600" })}>
{Math.round((reviewCount / totalProblems) * 100)}%
</div>
</div>
{masteredSkills.length === 0 ? (
<div className={css({ marginTop: "0.5rem", fontSize: "0.875rem", color: "gray.600" })}>
No mastered skills yet. All problems will focus on current skill.
</div>
) : (
<div className={css({ marginTop: "0.5rem" })}>
<div className={css({ fontWeight: "500" })}>
Review: Mixed mastered skills
</div>
<ul className={css({ fontSize: "0.875rem", color: "gray.600", marginTop: "0.25rem" })}>
{reviewBreakdown.map(({ skill, count }) => (
<li key={skill.id}>
{count} problem{count > 1 ? 's' : ''}: {skill.name}
</li>
))}
</ul>
</div>
)}
</div>
</div>
{/* Scaffolding summary */}
<div data-section="scaffolding-summary">
<h4> Scaffolding (recommended for this skill)</h4>
<div className={css({ fontSize: "0.875rem" })}>
{renderScaffoldingSummary(currentSkill.recommendedScaffolding, currentSkill.operator)}
</div>
</div>
{/* Action buttons */}
<div data-section="mastery-actions" className={css({
display: "flex",
gap: "0.5rem",
marginTop: "1rem"
})}>
<button onClick={onViewAllSkills} className={css({ /* button styles */ })}>
View All Skills
</button>
<button onClick={onCustomize} className={css({ /* button styles */ })}>
Customize Mix
</button>
</div>
</div>
);
}
```
---
### 3. Collapsed Difficulty Summary (Like Current Presets)
When mastery mode is active, show a collapsed summary similar to the existing preset dropdown.
**Pattern**: Reuse the existing `DifficultyPresetDropdown` pattern but with mastery-specific content.
```
┌─────────────────────────────────────────────────────────┐
│ Difficulty: Mastery - Two-digit ones regrouping ▼ │
│ ────────────────────────────────────────────────────── │
│ 75% current skill, 25% review • Recommended scaffolding │
└─────────────────────────────────────────────────────────┘
[Click to expand]
┌─────────────────────────────────────────────────────────┐
│ Difficulty: Mastery - Two-digit ones regrouping ▲ │
│ ────────────────────────────────────────────────────── │
│ │
│ 📊 Worksheet Mix (20 problems) │
│ │
│ ┌──────────────────────────────────────────────┐ │
│ │ 15 problems │ Two-digit + ones regrouping │ 75% │
│ │ (current) │ Example: 38 + 27 │ │
│ └──────────────────────────────────────────────┘ │
│ │
│ ┌──────────────────────────────────────────────┐ │
│ │ 5 problems │ Review: Mixed mastered skills │ 25% │
│ │ (review) │ • 2 problems: Single-digit │ │
│ │ │ • 3 problems: Two-digit simple│ │
│ └──────────────────────────────────────────────┘ │
│ │
│ ⚙️ Scaffolding │
│ Always: answer boxes, place value colors │
│ When regrouping: carry boxes, ten-frames │
│ │
│ [ View All Skills ] [ Customize Mix ] │
└─────────────────────────────────────────────────────────┘
```
**Component**: `MasteryDifficultyDropdown.tsx`
```typescript
export function MasteryDifficultyDropdown({
currentSkill,
masteryStates,
totalProblems,
isExpanded,
onToggle,
}: MasteryDifficultyDropdownProps) {
const masteredSkills = getMasteredSkills(masteryStates, currentSkill.operator);
const currentCount = Math.floor(totalProblems * 0.75);
const reviewCount = totalProblems - currentCount;
return (
<div data-component="mastery-difficulty-dropdown">
{/* Collapsed summary */}
<button
onClick={onToggle}
data-element="dropdown-toggle"
className={css({
width: "100%",
display: "flex",
justifyContent: "space-between",
alignItems: "center",
padding: "1rem",
border: "1px solid",
borderColor: "gray.300",
borderRadius: "8px",
backgroundColor: "white",
cursor: "pointer",
_hover: { backgroundColor: "gray.50" }
})}
>
<div>
<div className={css({ fontWeight: "600" })}>
Difficulty: Mastery - {currentSkill.name}
</div>
<div className={css({ fontSize: "0.875rem", color: "gray.600", marginTop: "0.25rem" })}>
{currentCount} current skill, {reviewCount} review
{masteredSkills.length > 0 && ` from ${masteredSkills.length} mastered skill${masteredSkills.length > 1 ? 's' : ''}`}
Recommended scaffolding
</div>
</div>
<div>{isExpanded ? "▲" : "▼"}</div>
</button>
{/* Expanded details */}
{isExpanded && (
<div data-element="dropdown-content" className={css({
padding: "1rem",
border: "1px solid",
borderColor: "gray.300",
borderTop: "none",
borderBottomLeftRadius: "8px",
borderBottomRightRadius: "8px"
})}>
<MasteryModePanel
currentSkill={currentSkill}
masteryStates={masteryStates}
totalProblems={totalProblems}
onCustomize={() => {/* Open customize modal */}}
onViewAllSkills={() => {/* Open skills modal */}}
/>
</div>
)}
</div>
);
}
```
---
### 4. All Skills Modal
**Trigger**: "View All Skills" button
**Purpose**: Show complete skill progression and mastery state
```
┌─────────────────────────────────────────────────────────────┐
│ Skill Progression - Addition ×
│ ───────────────────────────────────────────────────────── │
│ │
│ Single-digit Skills │
│ ✓ No regrouping (3+5, 2+4) │
│ Mastered on Jan 15, 2025 │
│ │
│ ✓ Simple regrouping (7+8, 9+6) │
│ Mastered on Jan 22, 2025 │
│ │
│ Two-digit Skills │
│ ✓ No regrouping (23+45, 31+28) │
│ Mastered on Feb 1, 2025 │
│ │
│ ► Ones place regrouping (38+27, 49+15) ⭐ │
│ Current skill • 12 attempts • 78% accuracy │
│ [Mark as Mastered] [Practice This] │
│ │
│ ○ Mixed regrouping (67+58, 84+73) │
│ Not started • Requires: ones place regrouping │
│ │
│ ⊘ Full regrouping (88+99, 76+67) │
│ Locked • Requires: mixed regrouping │
│ │
│ Three-digit Skills │
│ ⊘ No regrouping (234+451) │
│ Locked • Requires: two-digit full regrouping │
│ │
│ ... (more skills) │
│ │
│ Progress: 3/11 skills mastered (27%) │
│ │
│ [Close] │
└─────────────────────────────────────────────────────────────┘
```
**Component**: `AllSkillsModal.tsx`
```typescript
export function AllSkillsModal({
operator,
masteryStates,
currentSkillId,
onClose,
onSelectSkill,
onToggleMastery,
}: AllSkillsModalProps) {
const skills = SKILL_DEFINITIONS.filter(s => s.operator === operator);
const groupedSkills = groupSkillsByDigitLevel(skills);
return (
<Modal isOpen onClose={onClose} title={`Skill Progression - ${operator}`}>
<div data-component="all-skills-modal">
{Object.entries(groupedSkills).map(([level, skillsInLevel]) => (
<div key={level} data-section={`skill-group-${level}`}>
<h4>{level}</h4>
{skillsInLevel.map(skill => {
const state = masteryStates.get(skill.id);
const isMastered = state?.isMastered ?? false;
const isCurrent = skill.id === currentSkillId;
const prereqsMet = checkPrerequisites(skill, masteryStates);
return (
<div
key={skill.id}
data-element="skill-card"
className={css({
padding: "1rem",
border: "1px solid",
borderColor: isCurrent ? "blue.500" : "gray.300",
borderRadius: "8px",
marginBottom: "0.5rem",
backgroundColor: isCurrent ? "blue.50" : "white"
})}
>
<div className={css({ display: "flex", alignItems: "flex-start", gap: "0.5rem" })}>
{/* Status icon */}
<div className={css({ fontSize: "1.25rem" })}>
{isMastered ? "✓" : prereqsMet ? "►" : "⊘"}
</div>
{/* Skill info */}
<div className={css({ flex: 1 })}>
<div className={css({ display: "flex", alignItems: "center", gap: "0.5rem" })}>
<strong>{skill.name}</strong>
{isCurrent && <span className={css({ fontSize: "1.25rem" })}></span>}
</div>
<div className={css({ fontSize: "0.875rem", color: "gray.600", marginTop: "0.25rem" })}>
{skill.description}
</div>
{/* Mastery status */}
{isMastered && state?.masteredAt && (
<div className={css({ fontSize: "0.75rem", color: "green.600", marginTop: "0.25rem" })}>
Mastered on {formatDate(state.masteredAt)}
</div>
)}
{isCurrent && state && !isMastered && (
<div className={css({ fontSize: "0.75rem", color: "gray.600", marginTop: "0.25rem" })}>
Current skill {state.totalAttempts} attempts {Math.round((state.lastAccuracy ?? 0) * 100)}% accuracy
</div>
)}
{!isMastered && !isCurrent && !prereqsMet && (
<div className={css({ fontSize: "0.75rem", color: "gray.500", marginTop: "0.25rem" })}>
Locked Requires: {skill.prerequisites.map(id => getSkillName(id)).join(", ")}
</div>
)}
{!isMastered && !isCurrent && prereqsMet && (
<div className={css({ fontSize: "0.75rem", color: "gray.600", marginTop: "0.25rem" })}>
Not started Prerequisites met
</div>
)}
{/* Actions */}
{prereqsMet && (
<div className={css({ display: "flex", gap: "0.5rem", marginTop: "0.5rem" })}>
{!isMastered && (
<button
onClick={() => onToggleMastery(skill.id, true)}
className={css({ /* button styles */ })}
>
Mark as Mastered
</button>
)}
{isMastered && (
<button
onClick={() => onToggleMastery(skill.id, false)}
className={css({ /* button styles */ })}
>
Unmark
</button>
)}
{!isCurrent && (
<button
onClick={() => onSelectSkill(skill.id)}
className={css({ /* button styles */ })}
>
Practice This
</button>
)}
</div>
)}
</div>
</div>
</div>
);
})}
</div>
))}
{/* Progress summary */}
<div data-section="progress-summary" className={css({
marginTop: "1rem",
padding: "1rem",
backgroundColor: "gray.100",
borderRadius: "8px"
})}>
<strong>Progress: {calculateMasteredCount(masteryStates, operator)}/{skills.length} skills mastered ({calculateProgressPercentage(masteryStates, operator)}%)</strong>
</div>
</div>
</Modal>
);
}
```
---
### 5. Customize Mix Modal
**Trigger**: "Customize Mix" button
**Purpose**: Allow users to adjust mix percentages and manually select review skills
```
┌─────────────────────────────────────────────────────────────┐
│ Customize Worksheet Mix ×
│ ───────────────────────────────────────────────────────── │
│ │
│ Mix Ratio │
│ ┌─────────────────────────────────────────────┐ │
│ │ Current Skill: [====75%====] │ │
│ │ Review: [===25%===] │ │
│ │ │ │
│ │ Slider: 50% ←────●────→ 100% │ │
│ │ (more review) (more current) │ │
│ └─────────────────────────────────────────────┘ │
│ │
│ Review Skills (auto-selected from mastered) │
│ ☑ Single-digit no regrouping │
│ ☑ Single-digit simple regrouping │
│ ☑ Two-digit no regrouping │
│ │
│ [ Reset to Default ] [ Apply ] [ Cancel ] │
└─────────────────────────────────────────────────────────────┘
```
**Component**: `CustomizeMixModal.tsx`
```typescript
export function CustomizeMixModal({
currentSkill,
masteredSkills,
currentMixRatio,
selectedReviewSkills,
onApply,
onClose,
}: CustomizeMixModalProps) {
const [ratio, setRatio] = useState(currentMixRatio); // 0.5-1.0 (50%-100% current)
const [reviewSkills, setReviewSkills] = useState(selectedReviewSkills);
const currentPercentage = Math.round(ratio * 100);
const reviewPercentage = 100 - currentPercentage;
return (
<Modal isOpen onClose={onClose} title="Customize Worksheet Mix">
<div data-component="customize-mix-modal">
{/* Mix ratio slider */}
<div data-section="mix-ratio">
<h4>Mix Ratio</h4>
<div className={css({ marginBottom: "1rem" })}>
<div className={css({ display: "flex", justifyContent: "space-between", fontSize: "0.875rem" })}>
<span>Current Skill: {currentPercentage}%</span>
<span>Review: {reviewPercentage}%</span>
</div>
<input
type="range"
min="50"
max="100"
value={currentPercentage}
onChange={(e) => setRatio(Number(e.target.value) / 100)}
className={css({ width: "100%", marginTop: "0.5rem" })}
/>
<div className={css({ display: "flex", justifyContent: "space-between", fontSize: "0.75rem", color: "gray.600", marginTop: "0.25rem" })}>
<span>More review</span>
<span>More current skill</span>
</div>
</div>
</div>
{/* Review skills selection */}
<div data-section="review-skills">
<h4>Review Skills {masteredSkills.length === 0 && "(none mastered yet)"}</h4>
{masteredSkills.length > 0 ? (
<div>
<p className={css({ fontSize: "0.875rem", color: "gray.600", marginBottom: "0.5rem" })}>
Select which mastered skills to include in review problems
</p>
{masteredSkills.map(skill => (
<label
key={skill.id}
className={css({ display: "flex", alignItems: "center", gap: "0.5rem", marginBottom: "0.5rem" })}
>
<input
type="checkbox"
checked={reviewSkills.includes(skill.id)}
onChange={(e) => {
if (e.target.checked) {
setReviewSkills([...reviewSkills, skill.id]);
} else {
setReviewSkills(reviewSkills.filter(id => id !== skill.id));
}
}}
/>
<span>{skill.name}</span>
</label>
))}
</div>
) : (
<p className={css({ fontSize: "0.875rem", color: "gray.600" })}>
No mastered skills yet. Complete some skills to enable review mix.
</p>
)}
</div>
{/* Actions */}
<div data-section="actions" className={css({
display: "flex",
gap: "0.5rem",
marginTop: "1rem",
justifyContent: "flex-end"
})}>
<button
onClick={() => {
setRatio(0.75);
setReviewSkills(masteredSkills.map(s => s.id));
}}
className={css({ /* button styles */ })}
>
Reset to Default
</button>
<button onClick={onClose} className={css({ /* button styles */ })}>
Cancel
</button>
<button
onClick={() => onApply({ ratio, reviewSkills })}
className={css({ /* button styles */ })}
>
Apply
</button>
</div>
</div>
</Modal>
);
}
```
---
### 6. Inline Problem Attribution (Preview)
**In the worksheet preview**, add subtle indicators showing which problems are current vs review.
```
Preview:
┌─────────────────────────────────────────────┐
│ Problem 1 [Current] │
│ 38 │
│ + 27 │
│ ---- │
│ │
├─────────────────────────────────────────────┤
│ Problem 2 [Review: sd] │
│ 7 │
│ + 8 │
│ ---- │
└─────────────────────────────────────────────┘
```
**Implementation**: Add subtle badge or color coding to problem numbers in preview
```typescript
// In worksheet preview rendering
function renderProblemWithAttribution(problem: WorksheetProblem, index: number) {
const isReview = problem.metadata?.isReview ?? false;
const reviewSkillName = problem.metadata?.skillName;
return (
<div data-element="problem-card">
<div className={css({ display: "flex", justifyContent: "space-between", alignItems: "center" })}>
<span>Problem {index + 1}</span>
{isReview ? (
<span className={css({
fontSize: "0.75rem",
color: "green.600",
backgroundColor: "green.50",
padding: "0.125rem 0.5rem",
borderRadius: "4px"
})}>
Review: {reviewSkillName}
</span>
) : (
<span className={css({
fontSize: "0.75rem",
color: "blue.600",
backgroundColor: "blue.50",
padding: "0.125rem 0.5rem",
borderRadius: "4px"
})}>
Current
</span>
)}
</div>
{/* Problem rendering */}
</div>
);
}
```
---
## Observability Features Summary
### 1. **What's in the mix**
- Current skill count + percentage
- Review count + percentage
- Breakdown of review by skill (e.g., "2 single-digit, 3 two-digit")
### 2. **Why this mix**
- "Recommended scaffolding for this skill"
- "Prerequisites: [list]"
- "Next skill: [name] (after mastering this)"
### 3. **How it's distributed**
- Visual blocks showing current vs review ratio
- List showing exact count per review skill
- Example problems for each skill type
### 4. **Progress tracking**
- X/Y skills mastered
- Percentage complete
- Last practiced date
- Accuracy tracking
### 5. **Control transparency**
- Ability to customize mix ratio
- Ability to select specific review skills
- Ability to manually override mastery status
- Ability to skip to different skill
---
## Layout Integration
### Current Smart Mode Controls Location
```
ConfigPanel.tsx
├─ ModeSelector (Smart/Manual/Mastery) [NEW]
├─ if mode === 'smart' && !masteryMode
│ └─ SmartModeControls (difficulty slider, make harder/easier)
├─ if mode === 'smart' && masteryMode
│ └─ MasteryModePanel [NEW]
└─ if mode === 'manual'
└─ ManualModeControls (toggle switches)
```
### Collapsed State (Preset Dropdown Location)
Current location in `AdditionWorksheetClient.tsx`:
```typescript
{/* Difficulty preset dropdown (collapsed state) */}
{formState.mode === "smart" && !formState.masteryMode && (
<DifficultyPresetDropdown ... />
)}
{formState.mode === "smart" && formState.masteryMode && (
<MasteryDifficultyDropdown ... /> // NEW
)}
```
---
## Responsive Behavior
### Desktop (≥768px)
- Full panel with all details visible
- Modals centered, max-width 600px
### Tablet (480px - 768px)
- Compact panel, abbreviated text
- Modals full-width with padding
### Mobile (<480px)
- Stacked layout
- Abbreviated labels ("Cur: 15" instead of "Current: 15 problems")
- Full-screen modals
---
## Accessibility
1. **Keyboard navigation**: All modals and buttons keyboard-accessible
2. **Screen readers**: Proper ARIA labels on all interactive elements
3. **Color contrast**: Ensure blue/green badges meet WCAG AA standards
4. **Focus management**: Return focus to trigger button when modals close
5. **Status announcements**: Announce mastery status changes via aria-live
---
## Animation/Polish
1. **Smooth expand/collapse**: Dropdown transition (200ms ease-in-out)
2. **Progress indication**: Skill progress bar fills left-to-right
3. **Badge animations**: Subtle pulse on "current skill" indicator
4. **Modal transitions**: Fade in (150ms) + slide up slightly
---
## Data Flow
```
User selects Mastery Mode
Load mastery states from API (/api/worksheets/mastery)
Calculate current skill (findNextSkill)
Load skill definition (SKILL_DEFINITIONS[currentSkillId])
Calculate mix (75% current, 25% review breakdown)
Update UI (MasteryModePanel shows mix details)
Generate preview (generateMasteryWorksheet with metadata)
Render preview with problem attribution badges
```
---
## Questions for You
1. **Should we show problem attribution in the final PDF?**
- Option A: Only in preview (cleaner final product)
- Option B: In PDF as subtle watermark/footer note
- Option C: Configurable toggle
2. **Review skill selection behavior**
- Auto-select all mastered skills (current plan)
- Or default to "most recently mastered" only?
3. **Mix ratio bounds**
- Current: 50-100% current skill (so 0-50% review)
- Should we allow 100% review (no current skill practice)?
4. **Manual skill override behavior**
- If user marks skill as mastered, should we auto-advance to next skill?
- Or stay on current skill until they explicitly change?

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# Mastery Mode V2: Technique + Complexity Architecture
## Problem with V1
Current "skills" conflate two orthogonal concepts:
- **Techniques** (carrying, borrowing) - actual new skills to learn
- **Complexity** (digit count, regrouping frequency) - problem difficulty
This leads to artificial "skills" like "Two-digit without regrouping" which aren't really skills.
## V2 Architecture: Separate Techniques from Complexity
### Core Concepts
**Technique** = A mathematical procedure/algorithm
- Carrying (regrouping) in addition
- Borrowing (regrouping) in subtraction
- Multi-column operations
- Place value alignment
**Complexity Level** = Problem characteristics
- Digit range (1-5 digits)
- Regrouping frequency (never, sometimes, always)
- Regrouping positions (ones only, tens only, multiple places)
**Scaffolding Level** = Amount of visual support (affects learning progression)
- With ten-frames (visual scaffolding for regrouping)
- Without ten-frames (internalized concept)
- With carry/borrow notation
- Without carry/borrow notation
**Key Insight**: Scaffolding should CYCLE as complexity increases!
- 2-digit regrouping WITH ten-frames → 2-digit regrouping WITHOUT ten-frames
- 3-digit regrouping WITH ten-frames → 3-digit regrouping WITHOUT ten-frames
- Pattern repeats: new complexity = reintroduce scaffolding, then fade it
**Practice Objective** = Technique × Complexity
- "Practice carrying with 2-digit problems where only ones place regroups"
- "Practice basic addition with 3-digit numbers (no carrying)"
### Data Model
```typescript
// Core technique being practiced
interface Technique {
id: TechniqueId
name: string
description: string
operator: 'addition' | 'subtraction'
// Prerequisites are OTHER techniques
prerequisites: TechniqueId[]
// Recommended scaffolding for this technique
recommendedScaffolding: Partial<DisplayRules>
}
// Problem complexity configuration
interface ComplexityLevel {
id: string
name: string
description: string
// Problem generation parameters
digitRange: { min: number; max: number }
regroupingConfig: { pAnyStart: number; pAllStart: number }
// Scaffolding adjustments for this complexity
scaffoldingAdjustments?: Partial<DisplayRules>
}
// Scaffolding level (affects learning progression)
type ScaffoldingLevel = 'full' | 'partial' | 'minimal'
// A learnable practice objective
interface PracticeObjective {
id: string
name: string
description: string
// What technique is being practiced?
technique: TechniqueId
// At what complexity level?
complexity: ComplexityLevel
// With what scaffolding level?
scaffolding: ScaffoldingLevel
// Scaffolding overrides for this specific objective
// Example: 'full' = tenFrames: 'whenRegrouping', 'minimal' = tenFrames: 'never'
scaffoldingOverrides: Partial<DisplayRules>
// Final config = technique.scaffolding + complexity.adjustments + scaffolding.overrides
// Mastery tracking
masteryThreshold: number
minimumAttempts: number
// What objectives should come next?
// Usually: same technique+complexity with less scaffolding, OR
// same technique with higher complexity and full scaffolding
nextObjectives: string[]
}
// Technique IDs
type TechniqueId =
| 'basic-addition' // No carrying
| 'single-carry' // Carrying in one place
| 'multi-carry' // Carrying in multiple places
| 'basic-subtraction' // No borrowing
| 'single-borrow' // Borrowing from one place
| 'multi-borrow' // Borrowing across multiple places
```
### Scaffolding Fade Pattern
For each (technique × complexity) combination, progression follows:
```
New Complexity Level:
1. WITH scaffolding (ten-frames, carry boxes) ← learn the pattern
2. WITHOUT scaffolding ← internalize the concept
3. Move to next complexity → restart at step 1
```
**Example: Single-carry technique across complexities**
| Step | Complexity | Ten-frames | Mastery Goal |
|------|------------|------------|--------------|
| 1 | 2-digit (ones) | YES | Learn carrying with visual support |
| 2 | 2-digit (ones) | NO | Internalize without support |
| 3 | 3-digit (ones) | YES | Apply to new complexity with support |
| 4 | 3-digit (ones) | NO | Internalize at new complexity |
| 5 | 3-digit (multiple) | YES | More complex regrouping with support |
| 6 | 3-digit (multiple) | NO | Internalize complex regrouping |
This creates **mini-cycles of scaffolding** rather than permanently removing support.
### Example: Progression Path
#### Addition Techniques
1. **Basic Addition** (no carrying)
- Complexity: Single-digit → Two-digit → Three-digit
- Scaffolding: Answer boxes, place value colors
- Carry boxes: 'always' (show structure) or 'never' (cleaner)
2. **Single-place Carrying**
- Complexity: Two-digit (ones) → Three-digit (ones) → Three-digit (tens)
- Scaffolding: Carry boxes 'whenRegrouping', ten-frames 'whenRegrouping'
3. **Multi-place Carrying**
- Complexity: Three-digit → Four-digit → Five-digit
- Scaffolding: Carry boxes 'whenMultipleRegroups'
#### Subtraction Techniques
1. **Basic Subtraction** (no borrowing)
2. **Single-place Borrowing**
3. **Multi-place Borrowing**
### Complexity Progression
For each technique, students progress through complexity:
```typescript
const complexityLevels: ComplexityLevel[] = [
{
id: 'single-digit',
digitRange: { min: 1, max: 1 },
regroupingConfig: { pAnyStart: 0, pAllStart: 0 },
},
{
id: 'two-digit-no-regroup',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0, pAllStart: 0 },
scaffoldingAdjustments: {
carryBoxes: 'always', // Show structure even when not carrying
}
},
{
id: 'two-digit-ones-regroup',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 1.0, pAllStart: 0 },
},
{
id: 'two-digit-all-regroup',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 1.0, pAllStart: 1.0 },
},
// ... etc
]
```
### Benefits of This Model
1. **Clarity**: Clear separation between "learning new techniques" vs "practicing with harder numbers"
2. **Flexibility**: Same technique can be practiced at different complexity levels
3. **Scaffolding**: Technique defines baseline scaffolding, complexity can adjust
4. **Progression**: Natural progression: master technique at low complexity → increase complexity
5. **No fake skills**: "Two-digit without regrouping" is just complexity, not a technique
### UI Changes
#### Current (V1):
```
Skill: "Two-digit with ones place regrouping" ← confusing
```
#### New (V2):
```
Technique: Single-place Carrying
Complexity: Two-digit (ones place only)
```
Or simplified:
```
Practice: Carrying (ones place, 2-digit problems)
```
### Migration Strategy
1. **Phase 1**: New data structures (technique, complexity, objective)
2. **Phase 2**: Map existing 21 skills → technique + complexity combinations
3. **Phase 3**: Update UI to show "Technique + Complexity" instead of "Skill"
4. **Phase 4**: Migrate database mastery tracking (backwards compatible)
### Open Questions
1. **Should complexity be auto-progressive?**
- Option A: Track mastery per (technique × complexity) separately
- Option B: Once technique is mastered at any complexity, auto-advance complexity
2. **How to handle "show structure" scaffolding?**
- "Two-digit without regrouping" wants carryBoxes='always' to show structure
- But that's a complexity-level scaffolding choice, not technique-level
3. **Review mixing?**
- Current: Review previous skills
- New: Review previous techniques? Or previous complexity levels?
## Implementation Plan
### Step 1: Define Core Types
Create `techniques.ts` and `complexityLevels.ts`
### Step 2: Create Mapping
Map current 21 skills → (technique, complexity) pairs
### Step 3: Update UI
- MasteryModePanel shows technique + complexity
- AllSkillsModal groups by technique, shows complexity progression
### Step 4: Database Migration
- Keep `worksheet_mastery.skill_id` for backwards compatibility
- Or migrate to `technique_id` + `complexity_id`
### Step 5: Worksheet Generation
- Select technique → get base scaffolding
- Select complexity → get problem generation params + scaffolding adjustments
- Merge into final config
---
**Status**: Design phase - awaiting approval before implementation

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// Tests for progression path utilities
import { describe, expect, it } from 'vitest'
import {
SINGLE_CARRY_PATH,
configMatchesStep,
findNearestStep,
getSliderValueFromStep,
getStepById,
getStepFromSliderValue,
type ProgressionStep,
} from '../progressionPath'
describe('progressionPath', () => {
describe('SINGLE_CARRY_PATH', () => {
it('should have 6 steps', () => {
expect(SINGLE_CARRY_PATH).toHaveLength(6)
})
it('should have consecutive step numbers', () => {
SINGLE_CARRY_PATH.forEach((step, index) => {
expect(step.stepNumber).toBe(index)
})
})
it('should have correct next/previous links', () => {
// First step
expect(SINGLE_CARRY_PATH[0].previousStepId).toBe(null)
expect(SINGLE_CARRY_PATH[0].nextStepId).toBe('single-carry-1d-minimal')
// Middle steps
expect(SINGLE_CARRY_PATH[1].previousStepId).toBe('single-carry-1d-full')
expect(SINGLE_CARRY_PATH[1].nextStepId).toBe('single-carry-2d-full')
// Last step
expect(SINGLE_CARRY_PATH[5].previousStepId).toBe('single-carry-3d-full')
expect(SINGLE_CARRY_PATH[5].nextStepId).toBe(null)
})
it('should demonstrate scaffolding cycling', () => {
// 1-digit: full → minimal
expect(SINGLE_CARRY_PATH[0].config.displayRules?.tenFrames).toBe('whenRegrouping')
expect(SINGLE_CARRY_PATH[1].config.displayRules?.tenFrames).toBe('never')
// 2-digit: full → minimal (ten-frames RETURN)
expect(SINGLE_CARRY_PATH[2].config.displayRules?.tenFrames).toBe('whenRegrouping')
expect(SINGLE_CARRY_PATH[3].config.displayRules?.tenFrames).toBe('never')
// 3-digit: full → minimal (ten-frames RETURN AGAIN)
expect(SINGLE_CARRY_PATH[4].config.displayRules?.tenFrames).toBe('whenRegrouping')
expect(SINGLE_CARRY_PATH[5].config.displayRules?.tenFrames).toBe('never')
})
it('should have increasing digit complexity', () => {
// 1-digit (steps 0-1)
expect(SINGLE_CARRY_PATH[0].config.digitRange?.min).toBe(1)
expect(SINGLE_CARRY_PATH[0].config.digitRange?.max).toBe(1)
expect(SINGLE_CARRY_PATH[1].config.digitRange?.min).toBe(1)
// 2-digit (steps 2-3)
expect(SINGLE_CARRY_PATH[2].config.digitRange?.min).toBe(2)
expect(SINGLE_CARRY_PATH[2].config.digitRange?.max).toBe(2)
expect(SINGLE_CARRY_PATH[3].config.digitRange?.min).toBe(2)
// 3-digit (steps 4-5)
expect(SINGLE_CARRY_PATH[4].config.digitRange?.min).toBe(3)
expect(SINGLE_CARRY_PATH[4].config.digitRange?.max).toBe(3)
expect(SINGLE_CARRY_PATH[5].config.digitRange?.min).toBe(3)
})
it('should have consistent regrouping config', () => {
// All steps have 100% regrouping, ones place only
SINGLE_CARRY_PATH.forEach((step) => {
expect(step.config.pAnyStart).toBe(1.0)
expect(step.config.pAllStart).toBe(0)
})
})
it('should all be addition operator', () => {
SINGLE_CARRY_PATH.forEach((step) => {
expect(step.config.operator).toBe('addition')
})
})
it('should all be single-carry technique', () => {
SINGLE_CARRY_PATH.forEach((step) => {
expect(step.technique).toBe('single-carry')
})
})
it('should have interpolate disabled', () => {
// Mastery mode = no progressive difficulty
SINGLE_CARRY_PATH.forEach((step) => {
expect(step.config.interpolate).toBe(false)
})
})
})
describe('getStepFromSliderValue', () => {
it('should return first step for value 0', () => {
const step = getStepFromSliderValue(0, SINGLE_CARRY_PATH)
expect(step.stepNumber).toBe(0)
expect(step.id).toBe('single-carry-1d-full')
})
it('should return last step for value 100', () => {
const step = getStepFromSliderValue(100, SINGLE_CARRY_PATH)
expect(step.stepNumber).toBe(5)
expect(step.id).toBe('single-carry-3d-minimal')
})
it('should return middle steps for middle values', () => {
// 6 steps → positions at 0, 20, 40, 60, 80, 100
const step1 = getStepFromSliderValue(20, SINGLE_CARRY_PATH)
expect(step1.stepNumber).toBe(1)
const step2 = getStepFromSliderValue(40, SINGLE_CARRY_PATH)
expect(step2.stepNumber).toBe(2)
const step3 = getStepFromSliderValue(60, SINGLE_CARRY_PATH)
expect(step3.stepNumber).toBe(3)
})
it('should round to nearest step', () => {
// 6 steps → positions at 0, 20, 40, 60, 80, 100
// Value 30: (30/100) * 5 = 1.5 → rounds to 2
const step = getStepFromSliderValue(30, SINGLE_CARRY_PATH)
expect(step.stepNumber).toBe(2)
// Value 10: (10/100) * 5 = 0.5 → rounds to 1
const step2 = getStepFromSliderValue(10, SINGLE_CARRY_PATH)
expect(step2.stepNumber).toBe(1)
// Value 50: (50/100) * 5 = 2.5 → rounds to 3
const step3 = getStepFromSliderValue(50, SINGLE_CARRY_PATH)
expect(step3.stepNumber).toBe(3)
})
it('should clamp values below 0 to first step', () => {
const step = getStepFromSliderValue(-10, SINGLE_CARRY_PATH)
expect(step.stepNumber).toBe(0)
})
it('should clamp values above 100 to last step', () => {
const step = getStepFromSliderValue(150, SINGLE_CARRY_PATH)
expect(step.stepNumber).toBe(5)
})
})
describe('getSliderValueFromStep', () => {
it('should return 0 for first step', () => {
const value = getSliderValueFromStep(0, SINGLE_CARRY_PATH.length)
expect(value).toBe(0)
})
it('should return 100 for last step', () => {
const value = getSliderValueFromStep(5, SINGLE_CARRY_PATH.length)
expect(value).toBe(100)
})
it('should return evenly spaced values for middle steps', () => {
// 6 steps → 0, 20, 40, 60, 80, 100
expect(getSliderValueFromStep(0, 6)).toBe(0)
expect(getSliderValueFromStep(1, 6)).toBe(20)
expect(getSliderValueFromStep(2, 6)).toBe(40)
expect(getSliderValueFromStep(3, 6)).toBe(60)
expect(getSliderValueFromStep(4, 6)).toBe(80)
expect(getSliderValueFromStep(5, 6)).toBe(100)
})
it('should handle single-step path', () => {
const value = getSliderValueFromStep(0, 1)
expect(value).toBe(0)
})
it('should be inverse of getStepFromSliderValue', () => {
// Round-trip should preserve step number
for (let stepNum = 0; stepNum < SINGLE_CARRY_PATH.length; stepNum++) {
const sliderValue = getSliderValueFromStep(stepNum, SINGLE_CARRY_PATH.length)
const step = getStepFromSliderValue(sliderValue, SINGLE_CARRY_PATH)
expect(step.stepNumber).toBe(stepNum)
}
})
})
describe('findNearestStep', () => {
it('should find exact match for step config', () => {
const step2Config = SINGLE_CARRY_PATH[2].config
const nearest = findNearestStep(step2Config, SINGLE_CARRY_PATH)
expect(nearest.stepNumber).toBe(2)
expect(nearest.id).toBe('single-carry-2d-full')
})
it('should prioritize digit range matching', () => {
// Config with 3-digit but wrong scaffolding
// Use a complete displayRules object from an existing step
const baseDisplayRules = SINGLE_CARRY_PATH[0].config.displayRules!
const config = {
digitRange: { min: 3, max: 3 },
operator: 'addition' as const,
pAnyStart: 1.0,
pAllStart: 0,
displayRules: {
...baseDisplayRules,
tenFrames: 'always' as const, // Wrong, but digit range matches
},
}
const nearest = findNearestStep(config, SINGLE_CARRY_PATH)
// Should match step 4 or 5 (both 3-digit)
expect(nearest.config.digitRange?.min).toBe(3)
})
it('should fall back to first step if no good match', () => {
const config = {
digitRange: { min: 5, max: 5 }, // No 5-digit steps
operator: 'subtraction' as const, // Wrong operator
pAnyStart: 0.5, // Wrong regrouping
pAllStart: 0.5,
}
const nearest = findNearestStep(config, SINGLE_CARRY_PATH)
expect(nearest).toBeDefined() // Should still return something
expect(nearest.stepNumber).toBe(0) // Default to first
})
it('should match regrouping config when digit range matches', () => {
// Two steps with same digit range, different scaffolding
const baseDisplayRules = SINGLE_CARRY_PATH[2].config.displayRules!
const config1 = {
digitRange: { min: 2, max: 2 },
operator: 'addition' as const,
pAnyStart: 1.0,
pAllStart: 0,
displayRules: {
...baseDisplayRules,
tenFrames: 'whenRegrouping' as const,
},
}
const nearest1 = findNearestStep(config1, SINGLE_CARRY_PATH)
expect(nearest1.id).toBe('single-carry-2d-full') // Step 2
const config2 = {
digitRange: { min: 2, max: 2 },
operator: 'addition' as const,
pAnyStart: 1.0,
pAllStart: 0,
displayRules: {
...baseDisplayRules,
tenFrames: 'never' as const,
},
}
const nearest2 = findNearestStep(config2, SINGLE_CARRY_PATH)
expect(nearest2.id).toBe('single-carry-2d-minimal') // Step 3
})
})
describe('configMatchesStep', () => {
it('should return true for exact match', () => {
const step = SINGLE_CARRY_PATH[2]
const matches = configMatchesStep(step.config, step)
expect(matches).toBe(true)
})
it('should return false if digit range differs', () => {
const step = SINGLE_CARRY_PATH[2]
const config = {
...step.config,
digitRange: { min: 3, max: 3 }, // Different
}
const matches = configMatchesStep(config, step)
expect(matches).toBe(false)
})
it('should return false if regrouping config differs', () => {
const step = SINGLE_CARRY_PATH[2]
const config = {
...step.config,
pAnyStart: 0.5, // Different
}
const matches = configMatchesStep(config, step)
expect(matches).toBe(false)
})
it('should return false if scaffolding differs', () => {
const step = SINGLE_CARRY_PATH[2]
const config = {
...step.config,
displayRules: step.config.displayRules
? {
...step.config.displayRules,
tenFrames: 'never' as const, // Different
}
: undefined,
}
const matches = configMatchesStep(config, step)
expect(matches).toBe(false)
})
it('should return false if operator differs', () => {
const step = SINGLE_CARRY_PATH[2]
const config = {
...step.config,
operator: 'subtraction' as const, // Different
}
const matches = configMatchesStep(config, step)
expect(matches).toBe(false)
})
})
describe('getStepById', () => {
it('should find step by ID', () => {
const step = getStepById('single-carry-2d-full', SINGLE_CARRY_PATH)
expect(step).toBeDefined()
expect(step?.stepNumber).toBe(2)
expect(step?.config.digitRange?.min).toBe(2)
})
it('should return undefined for non-existent ID', () => {
const step = getStepById('does-not-exist', SINGLE_CARRY_PATH)
expect(step).toBeUndefined()
})
it('should find first step', () => {
const step = getStepById('single-carry-1d-full', SINGLE_CARRY_PATH)
expect(step).toBeDefined()
expect(step?.stepNumber).toBe(0)
})
it('should find last step', () => {
const step = getStepById('single-carry-3d-minimal', SINGLE_CARRY_PATH)
expect(step).toBeDefined()
expect(step?.stepNumber).toBe(5)
})
})
})

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// Problem complexity levels for mastery progression
// Complexity = how hard the problems are (digit count, regrouping frequency)
// NOT the technique being practiced
import type { DisplayRules } from './displayRules'
/**
* Problem complexity configuration
* Defines how difficult the problems are (separate from what technique is being practiced)
*/
export interface ComplexityLevel {
id: string
name: string
description: string
// Problem generation parameters
digitRange: { min: number; max: number }
regroupingConfig: {
pAnyStart: number // Probability any place value regroups
pAllStart: number // Probability all place values regroup
}
// Optional scaffolding adjustments for this complexity level
// These override/merge with the technique's base scaffolding
scaffoldingAdjustments?: Partial<DisplayRules>
// Recommended problem count for practice
recommendedProblemCount?: number
}
/**
* Standard complexity progression
* These can be combined with any technique
*/
export const COMPLEXITY_LEVELS: Record<string, ComplexityLevel> = {
// ============================================================================
// SINGLE-DIGIT COMPLEXITY
// ============================================================================
'sd-no-regroup': {
id: 'sd-no-regroup',
name: 'Single-digit (no regrouping)',
description: 'Single-digit problems that never require regrouping (e.g., 2+3, 4+1)',
digitRange: { min: 1, max: 1 },
regroupingConfig: { pAnyStart: 0, pAllStart: 0 },
recommendedProblemCount: 20,
},
'sd-with-regroup': {
id: 'sd-with-regroup',
name: 'Single-digit (with regrouping)',
description: 'Single-digit problems that always require regrouping (e.g., 7+8, 9+6)',
digitRange: { min: 1, max: 1 },
regroupingConfig: { pAnyStart: 1.0, pAllStart: 0 },
recommendedProblemCount: 20,
},
// ============================================================================
// TWO-DIGIT COMPLEXITY
// ============================================================================
'td-no-regroup': {
id: 'td-no-regroup',
name: 'Two-digit (no regrouping)',
description: 'Two-digit problems without any carrying (e.g., 23+45, 31+28)',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0, pAllStart: 0 },
scaffoldingAdjustments: {
// Show carry boxes even when not carrying to teach columnar structure
carryBoxes: 'always',
},
recommendedProblemCount: 15,
},
'td-ones-regroup': {
id: 'td-ones-regroup',
name: 'Two-digit (ones place only)',
description: 'Two-digit problems with carrying only in ones place (e.g., 38+27, 49+15)',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 1.0, pAllStart: 0 },
recommendedProblemCount: 20,
},
'td-all-regroup': {
id: 'td-all-regroup',
name: 'Two-digit (all places)',
description: 'Two-digit problems with carrying in both ones and tens (e.g., 57+68, 89+74)',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 1.0, pAllStart: 1.0 },
recommendedProblemCount: 20,
},
'td-mixed-regroup': {
id: 'td-mixed-regroup',
name: 'Two-digit (mixed)',
description: 'Mix of two-digit problems, some with carrying',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0.7, pAllStart: 0.3 },
recommendedProblemCount: 20,
},
// ============================================================================
// THREE-DIGIT COMPLEXITY
// ============================================================================
'xd-no-regroup': {
id: 'xd-no-regroup',
name: 'Three-digit (no regrouping)',
description: 'Three-digit problems without any carrying',
digitRange: { min: 3, max: 3 },
regroupingConfig: { pAnyStart: 0, pAllStart: 0 },
scaffoldingAdjustments: {
carryBoxes: 'always', // Show structure
},
recommendedProblemCount: 15,
},
'xd-ones-regroup': {
id: 'xd-ones-regroup',
name: 'Three-digit (ones only)',
description: 'Three-digit with carrying only in ones place',
digitRange: { min: 3, max: 3 },
regroupingConfig: { pAnyStart: 1.0, pAllStart: 0 },
recommendedProblemCount: 20,
},
'xd-multi-regroup': {
id: 'xd-multi-regroup',
name: 'Three-digit (multiple places)',
description: 'Three-digit with carrying in 2+ places',
digitRange: { min: 3, max: 3 },
regroupingConfig: { pAnyStart: 1.0, pAllStart: 0.5 },
recommendedProblemCount: 20,
},
'xd-all-regroup': {
id: 'xd-all-regroup',
name: 'Three-digit (all places)',
description: 'Three-digit with carrying in all three places',
digitRange: { min: 3, max: 3 },
regroupingConfig: { pAnyStart: 1.0, pAllStart: 1.0 },
recommendedProblemCount: 20,
},
// ============================================================================
// FOUR & FIVE DIGIT COMPLEXITY
// ============================================================================
'xxd-mixed': {
id: 'xxd-mixed',
name: 'Four-digit (mixed)',
description: 'Four-digit problems with varying regrouping',
digitRange: { min: 4, max: 4 },
regroupingConfig: { pAnyStart: 0.8, pAllStart: 0.4 },
scaffoldingAdjustments: {
tenFrames: 'never', // Too complex for ten-frames
},
recommendedProblemCount: 15,
},
'xxxd-mixed': {
id: 'xxxd-mixed',
name: 'Five-digit (mixed)',
description: 'Five-digit problems with varying regrouping',
digitRange: { min: 5, max: 5 },
regroupingConfig: { pAnyStart: 0.8, pAllStart: 0.5 },
scaffoldingAdjustments: {
tenFrames: 'never',
carryBoxes: 'whenMultipleRegroups', // Only show for complex cases
},
recommendedProblemCount: 15,
},
}
/**
* Get complexity level by ID
*/
export function getComplexityLevel(id: string): ComplexityLevel | undefined {
return COMPLEXITY_LEVELS[id]
}
/**
* Get all complexity levels sorted by difficulty
*/
export function getComplexityLevelsSorted(): ComplexityLevel[] {
// Sort by digit count, then by regrouping frequency
return Object.values(COMPLEXITY_LEVELS).sort((a, b) => {
if (a.digitRange.min !== b.digitRange.min) {
return a.digitRange.min - b.digitRange.min
}
return a.regroupingConfig.pAnyStart - b.regroupingConfig.pAnyStart
})
}
/**
* Get complexity levels suitable for a digit range
*/
export function getComplexityLevelsForDigits(min: number, max: number): ComplexityLevel[] {
return Object.values(COMPLEXITY_LEVELS).filter(
(level) => level.digitRange.min >= min && level.digitRange.max <= max
)
}

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'use client'
import { useState } from 'react'
import * as Tabs from '@radix-ui/react-tabs'
import * as Accordion from '@radix-ui/react-accordion'
import * as Progress from '@radix-ui/react-progress'
import * as Checkbox from '@radix-ui/react-checkbox'
import * as Tooltip from '@radix-ui/react-tooltip'
import { css } from '../../../../../../../styled-system/css'
import type { SkillId, SkillDefinition } from '../../skills'
interface AllSkillsModalProps {
isOpen: boolean
onClose: () => void
skills: SkillDefinition[]
currentSkillId: SkillId
masteryStates: Map<SkillId, boolean>
onSelectSkill: (skillId: SkillId) => void
onToggleMastery: (skillId: SkillId, isMastered: boolean) => void
isDark?: boolean
}
type FilterTab = 'all' | 'mastered' | 'available' | 'locked'
/**
* All Skills Modal - Skills Mastery Dashboard
*
* Synthesized design combining:
* - Progress overview at top
* - Tabbed filtering (All/Mastered/Available/Locked)
* - Grouped accordion sections
* - Streamlined skill cards with color-coded stripes
* - Quick mastery checkboxes + practice buttons
*/
export function AllSkillsModal({
isOpen,
onClose,
skills,
currentSkillId,
masteryStates,
onSelectSkill,
onToggleMastery,
isDark = false,
}: AllSkillsModalProps) {
const [activeTab, setActiveTab] = useState<FilterTab>('all')
if (!isOpen) return null
// Calculate progress
const masteredCount = skills.filter((s) => masteryStates.get(s.id) === true).length
const totalCount = skills.length
const progressPercentage = totalCount > 0 ? (masteredCount / totalCount) * 100 : 0
// Categorize skills
const masteredSkills = skills.filter((s) => masteryStates.get(s.id) === true)
const availableSkills = skills.filter((s) => {
const isMastered = masteryStates.get(s.id) === true
const prerequisitesMet = s.prerequisites.every(
(prereqId) => masteryStates.get(prereqId) === true
)
const isAvailable = s.prerequisites.length === 0 || prerequisitesMet
return !isMastered && isAvailable
})
const lockedSkills = skills.filter((s) => {
const isMastered = masteryStates.get(s.id) === true
const prerequisitesMet = s.prerequisites.every(
(prereqId) => masteryStates.get(prereqId) === true
)
const isAvailable = s.prerequisites.length === 0 || prerequisitesMet
return !isMastered && !isAvailable
})
// Filter skills based on active tab
const getFilteredSkills = (): SkillDefinition[] => {
switch (activeTab) {
case 'mastered':
return masteredSkills
case 'available':
return availableSkills
case 'locked':
return lockedSkills
case 'all':
default:
return skills
}
}
const filteredSkills = getFilteredSkills()
// Helper to render a skill card
const renderSkillCard = (skill: SkillDefinition) => {
const isMastered = masteryStates.get(skill.id) === true
const isCurrent = skill.id === currentSkillId
const prerequisitesMet = skill.prerequisites.every(
(prereqId) => masteryStates.get(prereqId) === true
)
const isAvailable = skill.prerequisites.length === 0 || prerequisitesMet
const isLocked = !isAvailable
// Determine stripe color
const stripeColor = isMastered
? 'green.500'
: isCurrent
? 'blue.500'
: isLocked
? 'gray.400'
: 'gray.300'
// Determine icon
const icon = isMastered ? '✓' : isCurrent ? '⭐' : isLocked ? '🔒' : '○'
return (
<div
key={skill.id}
data-skill-id={skill.id}
className={css({
position: 'relative',
padding: '1rem',
paddingLeft: '1.25rem',
borderRadius: '8px',
border: '1px solid',
borderColor: isDark ? 'gray.600' : 'gray.200',
backgroundColor: isDark ? 'gray.700' : 'white',
opacity: isLocked ? 0.7 : 1,
transition: 'all 0.2s',
_hover: {
borderColor: isDark ? 'gray.500' : 'gray.300',
boxShadow: '0 2px 4px rgba(0, 0, 0, 0.05)',
},
})}
>
{/* Color-coded left stripe */}
<div
className={css({
position: 'absolute',
left: 0,
top: 0,
bottom: 0,
width: '4px',
borderTopLeftRadius: '8px',
borderBottomLeftRadius: '8px',
backgroundColor: stripeColor,
})}
/>
<div className={css({ display: 'flex', gap: '1rem', alignItems: 'flex-start' })}>
{/* Icon + Name + Description */}
<div className={css({ flex: 1, minWidth: 0 })}>
<div
className={css({
display: 'flex',
alignItems: 'center',
gap: '0.5rem',
marginBottom: '0.25rem',
})}
>
<span className={css({ fontSize: '1.125rem', lineHeight: '1' })}>{icon}</span>
<h4
className={css({
fontSize: '0.9375rem',
fontWeight: '600',
color: isDark ? 'white' : 'gray.900',
})}
>
{skill.name}
{isCurrent && (
<span
className={css({
marginLeft: '0.5rem',
fontSize: '0.75rem',
fontWeight: '500',
color: 'blue.600',
})}
>
(Current)
</span>
)}
</h4>
</div>
<p
className={css({
fontSize: '0.8125rem',
color: isDark ? 'gray.400' : 'gray.600',
lineHeight: '1.4',
})}
>
{skill.description}
</p>
{/* Prerequisites for locked skills */}
{isLocked && skill.prerequisites.length > 0 && (
<p
className={css({
fontSize: '0.75rem',
color: isDark ? 'gray.500' : 'gray.500',
marginTop: '0.5rem',
fontStyle: 'italic',
})}
>
Requires:{' '}
{skill.prerequisites
.map((prereqId) => {
const prereq = skills.find((s) => s.id === prereqId)
return prereq?.name || prereqId
})
.join(', ')}
</p>
)}
</div>
{/* Actions: Checkbox + Practice Button */}
<div
className={css({
display: 'flex',
gap: '0.75rem',
alignItems: 'center',
flexShrink: 0,
})}
>
{/* Mastery Checkbox */}
{isAvailable && (
<Tooltip.Root delayDuration={200}>
<Tooltip.Trigger asChild>
<div>
<Checkbox.Root
checked={isMastered}
onCheckedChange={(checked) => onToggleMastery(skill.id, checked === true)}
className={css({
width: '20px',
height: '20px',
borderRadius: '4px',
border: '2px solid',
borderColor: isMastered ? 'green.500' : isDark ? 'gray.500' : 'gray.300',
backgroundColor: isMastered ? 'green.500' : 'transparent',
display: 'flex',
alignItems: 'center',
justifyContent: 'center',
cursor: 'pointer',
transition: 'all 0.2s',
_hover: {
borderColor: isMastered ? 'green.600' : 'blue.400',
},
})}
>
<Checkbox.Indicator
className={css({
color: 'white',
fontSize: '0.75rem',
fontWeight: 'bold',
})}
>
</Checkbox.Indicator>
</Checkbox.Root>
</div>
</Tooltip.Trigger>
<Tooltip.Portal>
<Tooltip.Content
side="top"
className={css({
backgroundColor: isDark ? 'gray.800' : 'gray.900',
color: 'white',
padding: '0.5rem 0.75rem',
borderRadius: '6px',
fontSize: '0.75rem',
zIndex: 10002,
})}
>
{isMastered ? 'Mark as not mastered' : 'Mark as mastered'}
<Tooltip.Arrow className={css({ fill: isDark ? 'gray.800' : 'gray.900' })} />
</Tooltip.Content>
</Tooltip.Portal>
</Tooltip.Root>
)}
{/* Practice Button */}
{!isCurrent && isAvailable && (
<button
type="button"
data-action="select-skill"
onClick={() => {
onSelectSkill(skill.id)
onClose()
}}
className={css({
padding: '0.5rem 0.75rem',
borderRadius: '6px',
border: '1px solid',
borderColor: isDark ? 'gray.500' : 'gray.300',
backgroundColor: isDark ? 'gray.600' : 'white',
color: isDark ? 'gray.200' : 'gray.700',
fontSize: '0.75rem',
fontWeight: '500',
cursor: 'pointer',
transition: 'all 0.2s',
whiteSpace: 'nowrap',
_hover: {
borderColor: 'blue.400',
backgroundColor: 'blue.50',
color: 'blue.700',
},
})}
>
Practice
</button>
)}
</div>
</div>
</div>
)
}
return (
<div
data-component="all-skills-modal-overlay"
className={css({
position: 'fixed',
inset: 0,
backgroundColor: 'rgba(0, 0, 0, 0.5)',
display: 'flex',
alignItems: 'center',
justifyContent: 'center',
zIndex: 50,
padding: '1rem',
})}
onClick={onClose}
>
<div
data-component="all-skills-modal"
className={css({
backgroundColor: isDark ? 'gray.800' : 'white',
borderRadius: '12px',
maxWidth: '700px',
width: '100%',
maxHeight: '85vh',
display: 'flex',
flexDirection: 'column',
boxShadow: '0 20px 25px -5px rgba(0, 0, 0, 0.1), 0 10px 10px -5px rgba(0, 0, 0, 0.04)',
})}
onClick={(e) => e.stopPropagation()}
>
{/* Header with Progress */}
<div
className={css({
padding: '1.5rem',
borderBottom: '1px solid',
borderColor: isDark ? 'gray.700' : 'gray.200',
})}
>
<div
className={css({
display: 'flex',
justifyContent: 'space-between',
alignItems: 'flex-start',
})}
>
<div className={css({ flex: 1 })}>
<h2
className={css({
fontSize: '1.25rem',
fontWeight: '600',
color: isDark ? 'white' : 'gray.900',
marginBottom: '0.5rem',
})}
>
Skills Mastery Dashboard
</h2>
<p
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.400' : 'gray.600',
marginBottom: '0.75rem',
})}
>
{skills[0]?.operator === 'addition' ? 'Addition' : 'Subtraction'} {masteredCount}/
{totalCount} skills mastered
</p>
{/* Progress Bar */}
<Progress.Root
value={progressPercentage}
className={css({
width: '100%',
height: '8px',
backgroundColor: isDark ? 'gray.700' : 'gray.200',
borderRadius: '999px',
overflow: 'hidden',
})}
>
<Progress.Indicator
className={css({
width: '100%',
height: '100%',
backgroundColor: 'green.500',
transition: 'transform 0.3s ease',
})}
style={{ transform: `translateX(-${100 - progressPercentage}%)` }}
/>
</Progress.Root>
<p
className={css({
fontSize: '0.75rem',
color: isDark ? 'gray.500' : 'gray.500',
marginTop: '0.25rem',
})}
>
{Math.round(progressPercentage)}% complete
</p>
</div>
<button
type="button"
data-action="close-modal"
onClick={onClose}
className={css({
padding: '0.5rem',
marginLeft: '1rem',
borderRadius: '6px',
border: 'none',
backgroundColor: 'transparent',
color: isDark ? 'gray.400' : 'gray.600',
cursor: 'pointer',
fontSize: '1.5rem',
lineHeight: '1',
transition: 'all 0.2s',
_hover: {
backgroundColor: isDark ? 'gray.700' : 'gray.100',
color: isDark ? 'gray.200' : 'gray.900',
},
})}
>
×
</button>
</div>
</div>
{/* Tabs for Filtering */}
<Tooltip.Provider delayDuration={300}>
<Tabs.Root
value={activeTab}
onValueChange={(value) => setActiveTab(value as FilterTab)}
className={css({
flex: 1,
display: 'flex',
flexDirection: 'column',
minHeight: 0,
})}
>
<Tabs.List
className={css({
display: 'flex',
gap: '0.5rem',
padding: '1rem 1.5rem 0 1.5rem',
borderBottom: '1px solid',
borderColor: isDark ? 'gray.700' : 'gray.200',
flexShrink: 0,
})}
>
{[
{ value: 'all', label: 'All', count: skills.length },
{ value: 'mastered', label: 'Mastered', count: masteredSkills.length },
{ value: 'available', label: 'Available', count: availableSkills.length },
{ value: 'locked', label: 'Locked', count: lockedSkills.length },
].map((tab) => (
<Tabs.Trigger
key={tab.value}
value={tab.value}
className={css({
padding: '0.5rem 1rem',
fontSize: '0.875rem',
fontWeight: '500',
border: 'none',
borderBottom: '2px solid',
borderColor: 'transparent',
color: isDark ? 'gray.400' : 'gray.600',
cursor: 'pointer',
transition: 'all 0.2s',
backgroundColor: 'transparent',
_hover: {
color: isDark ? 'gray.200' : 'gray.900',
},
'&[data-state=active]': {
color: 'blue.600',
borderColor: 'blue.600',
},
})}
>
{tab.label} ({tab.count})
</Tabs.Trigger>
))}
</Tabs.List>
{/* Tab Content - Skills List */}
<Tabs.Content
value={activeTab}
className={css({
flex: 1,
overflowY: 'auto',
padding: '1rem 1.5rem',
minHeight: 0,
})}
>
{filteredSkills.length === 0 ? (
<div
className={css({
padding: '2rem',
textAlign: 'center',
color: isDark ? 'gray.400' : 'gray.600',
fontSize: '0.875rem',
})}
>
No {activeTab} skills
</div>
) : (
<div className={css({ display: 'flex', flexDirection: 'column', gap: '0.75rem' })}>
{filteredSkills.map((skill) => renderSkillCard(skill))}
</div>
)}
</Tabs.Content>
</Tabs.Root>
</Tooltip.Provider>
{/* Footer */}
<div
className={css({
padding: '1rem 1.5rem',
borderTop: '1px solid',
borderColor: isDark ? 'gray.700' : 'gray.200',
display: 'flex',
justifyContent: 'flex-end',
})}
>
<button
type="button"
data-action="close-modal"
onClick={onClose}
className={css({
padding: '0.75rem 1.5rem',
borderRadius: '6px',
border: '1px solid',
borderColor: isDark ? 'gray.600' : 'gray.300',
backgroundColor: isDark ? 'gray.700' : 'white',
color: isDark ? 'gray.200' : 'gray.700',
fontSize: '0.875rem',
fontWeight: '500',
cursor: 'pointer',
transition: 'all 0.2s',
_hover: {
backgroundColor: isDark ? 'gray.600' : 'gray.50',
},
})}
>
Close
</button>
</div>
</div>
</div>
)
}

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'use client'
import { useState, useEffect } from 'react'
import { css } from '../../../../../../../styled-system/css'
import type { SkillId, SkillDefinition } from '../../skills'
interface CustomizeMixModalProps {
isOpen: boolean
onClose: () => void
currentSkill: SkillDefinition
masteryStates: Map<SkillId, boolean>
currentMixRatio: number // 0-1, where 0.25 = 25% review
currentSelectedReviewSkills?: SkillId[]
onApply: (mixRatio: number, selectedReviewSkills: SkillId[]) => void
isDark?: boolean
}
/**
* Customize Mix Modal
*
* Allows users to customize the worksheet mix:
* - Adjust review ratio (0-100% review)
* - Select which mastered skills to include in review
* - Reset to defaults (75% current, all recommended review skills)
*/
export function CustomizeMixModal({
isOpen,
onClose,
currentSkill,
masteryStates,
currentMixRatio,
currentSelectedReviewSkills,
onApply,
isDark = false,
}: CustomizeMixModalProps) {
const [mixRatio, setMixRatio] = useState(currentMixRatio)
const [selectedReviewSkills, setSelectedReviewSkills] = useState<Set<SkillId>>(new Set())
// Get mastered skills from recommendedReview
const masteredReviewSkills = currentSkill.recommendedReview.filter(
(skillId) => masteryStates.get(skillId) === true
)
// Initialize state when modal opens
useEffect(() => {
if (isOpen) {
setMixRatio(currentMixRatio)
// Get mastered review skills at the time modal opens
const mastered = currentSkill.recommendedReview.filter(
(skillId) => masteryStates.get(skillId) === true
)
if (currentSelectedReviewSkills && currentSelectedReviewSkills.length > 0) {
// Use user's custom selection
setSelectedReviewSkills(new Set(currentSelectedReviewSkills))
} else {
// Default to all mastered review skills
setSelectedReviewSkills(new Set(mastered))
}
}
// eslint-disable-next-line react-hooks/exhaustive-deps
}, [isOpen]) // Only run when modal opens, not when props change
if (!isOpen) return null
const handleReset = () => {
setMixRatio(0.25) // Default 25% review
setSelectedReviewSkills(new Set(masteredReviewSkills)) // All recommended
}
const handleApply = () => {
onApply(mixRatio, Array.from(selectedReviewSkills))
onClose()
}
const toggleReviewSkill = (skillId: SkillId) => {
const newSet = new Set(selectedReviewSkills)
if (newSet.has(skillId)) {
newSet.delete(skillId)
} else {
newSet.add(skillId)
}
setSelectedReviewSkills(newSet)
}
// Calculate problem counts based on a 20-problem worksheet
const totalProblems = 20
const reviewCount = Math.floor(totalProblems * mixRatio)
const currentCount = totalProblems - reviewCount
return (
<div
data-component="customize-mix-modal-overlay"
className={css({
position: 'fixed',
inset: 0,
backgroundColor: 'rgba(0, 0, 0, 0.5)',
display: 'flex',
alignItems: 'center',
justifyContent: 'center',
zIndex: 50,
padding: '1rem',
})}
onClick={onClose}
>
<div
data-component="customize-mix-modal"
className={css({
backgroundColor: isDark ? 'gray.800' : 'white',
borderRadius: '12px',
maxWidth: '500px',
width: '100%',
maxHeight: '80vh',
display: 'flex',
flexDirection: 'column',
boxShadow: '0 20px 25px -5px rgba(0, 0, 0, 0.1), 0 10px 10px -5px rgba(0, 0, 0, 0.04)',
})}
onClick={(e) => e.stopPropagation()}
>
{/* Header */}
<div
className={css({
padding: '1.5rem',
borderBottom: '1px solid',
borderColor: isDark ? 'gray.700' : 'gray.200',
display: 'flex',
justifyContent: 'space-between',
alignItems: 'center',
})}
>
<div>
<h2
className={css({
fontSize: '1.25rem',
fontWeight: '600',
color: isDark ? 'white' : 'gray.900',
marginBottom: '0.25rem',
})}
>
Customize Worksheet Mix
</h2>
<p
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.400' : 'gray.600',
})}
>
{currentSkill.name}
</p>
</div>
<button
type="button"
data-action="close-modal"
onClick={onClose}
className={css({
padding: '0.5rem',
borderRadius: '6px',
border: 'none',
backgroundColor: 'transparent',
color: isDark ? 'gray.400' : 'gray.600',
cursor: 'pointer',
fontSize: '1.5rem',
lineHeight: '1',
transition: 'all 0.2s',
_hover: {
backgroundColor: isDark ? 'gray.700' : 'gray.100',
color: isDark ? 'gray.200' : 'gray.900',
},
})}
>
×
</button>
</div>
{/* Content */}
<div
className={css({
flex: 1,
overflowY: 'auto',
padding: '1.5rem',
})}
>
{/* Mix Ratio Section */}
<div className={css({ marginBottom: '2rem' })}>
<h3
className={css({
fontSize: '0.875rem',
fontWeight: '600',
color: isDark ? 'gray.200' : 'gray.700',
marginBottom: '1rem',
})}
>
Mix Ratio
</h3>
{/* Visual breakdown */}
<div
className={css({
display: 'flex',
gap: '0.5rem',
marginBottom: '1rem',
})}
>
<div
className={css({
flex: 1,
padding: '0.75rem',
borderRadius: '6px',
backgroundColor: 'blue.50',
border: '1px solid',
borderColor: 'blue.200',
})}
>
<div
className={css({
fontSize: '0.75rem',
fontWeight: '600',
color: 'blue.700',
marginBottom: '0.25rem',
})}
>
Current Skill: {Math.round((1 - mixRatio) * 100)}%
</div>
<div
className={css({ fontSize: '0.875rem', fontWeight: '600', color: 'blue.800' })}
>
{currentCount} problems
</div>
</div>
<div
className={css({
flex: 1,
padding: '0.75rem',
borderRadius: '6px',
backgroundColor: 'green.50',
border: '1px solid',
borderColor: 'green.200',
})}
>
<div
className={css({
fontSize: '0.75rem',
fontWeight: '600',
color: 'green.700',
marginBottom: '0.25rem',
})}
>
Review: {Math.round(mixRatio * 100)}%
</div>
<div
className={css({ fontSize: '0.875rem', fontWeight: '600', color: 'green.800' })}
>
{reviewCount} problems
</div>
</div>
</div>
{/* Slider */}
<div className={css({ marginBottom: '0.5rem' })}>
<input
type="range"
min="0"
max="100"
step="5"
value={Math.round(mixRatio * 100)}
onChange={(e) => setMixRatio(Number.parseInt(e.target.value) / 100)}
className={css({
width: '100%',
cursor: 'pointer',
})}
/>
</div>
{/* Slider labels */}
<div
className={css({
display: 'flex',
justifyContent: 'space-between',
fontSize: '0.75rem',
color: isDark ? 'gray.400' : 'gray.600',
})}
>
<span>More current skill</span>
<span>More review</span>
</div>
</div>
{/* Review Skills Section */}
{masteredReviewSkills.length > 0 && (
<div>
<h3
className={css({
fontSize: '0.875rem',
fontWeight: '600',
color: isDark ? 'gray.200' : 'gray.700',
marginBottom: '0.75rem',
})}
>
Review Skills ({selectedReviewSkills.size} selected)
</h3>
<div className={css({ display: 'flex', flexDirection: 'column', gap: '0.5rem' })}>
{masteredReviewSkills.map((skillId) => {
// Find skill definition to get name
const skill = currentSkill.recommendedReview
.map((id) => {
// This is a bit inefficient, but works for now
// In a real app, we'd pass skills as a prop
return { id, name: skillId } // Placeholder
})
.find((s) => s.id === skillId)
const isSelected = selectedReviewSkills.has(skillId)
return (
<label
key={skillId}
className={css({
display: 'flex',
alignItems: 'center',
gap: '0.5rem',
padding: '0.75rem',
borderRadius: '6px',
border: '1px solid',
borderColor: isSelected ? 'green.300' : isDark ? 'gray.600' : 'gray.200',
backgroundColor: isSelected ? 'green.50' : isDark ? 'gray.700' : 'white',
cursor: 'pointer',
transition: 'all 0.2s',
_hover: {
borderColor: 'green.400',
},
})}
>
<input
type="checkbox"
checked={isSelected}
onChange={() => toggleReviewSkill(skillId)}
className={css({
cursor: 'pointer',
})}
/>
<span
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.200' : 'gray.700',
})}
>
{skillId}
</span>
</label>
)
})}
</div>
</div>
)}
{masteredReviewSkills.length === 0 && (
<div
className={css({
padding: '1rem',
borderRadius: '6px',
backgroundColor: isDark ? 'gray.700' : 'gray.50',
border: '1px solid',
borderColor: isDark ? 'gray.600' : 'gray.200',
})}
>
<p
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.400' : 'gray.600',
textAlign: 'center',
})}
>
No mastered review skills available. Mark prerequisite skills as mastered to enable
review mixing.
</p>
</div>
)}
</div>
{/* Footer */}
<div
className={css({
padding: '1rem 1.5rem',
borderTop: '1px solid',
borderColor: isDark ? 'gray.700' : 'gray.200',
display: 'flex',
justifyContent: 'space-between',
gap: '0.75rem',
})}
>
<button
type="button"
data-action="reset-to-default"
onClick={handleReset}
className={css({
padding: '0.75rem 1.5rem',
borderRadius: '6px',
border: '1px solid',
borderColor: isDark ? 'gray.600' : 'gray.300',
backgroundColor: 'transparent',
color: isDark ? 'gray.300' : 'gray.700',
fontSize: '0.875rem',
fontWeight: '500',
cursor: 'pointer',
transition: 'all 0.2s',
_hover: {
backgroundColor: isDark ? 'gray.700' : 'gray.50',
},
})}
>
Reset to Default
</button>
<div className={css({ display: 'flex', gap: '0.75rem' })}>
<button
type="button"
data-action="cancel"
onClick={onClose}
className={css({
padding: '0.75rem 1.5rem',
borderRadius: '6px',
border: '1px solid',
borderColor: isDark ? 'gray.600' : 'gray.300',
backgroundColor: isDark ? 'gray.700' : 'white',
color: isDark ? 'gray.200' : 'gray.700',
fontSize: '0.875rem',
fontWeight: '500',
cursor: 'pointer',
transition: 'all 0.2s',
_hover: {
backgroundColor: isDark ? 'gray.600' : 'gray.50',
},
})}
>
Cancel
</button>
<button
type="button"
data-action="apply"
onClick={handleApply}
className={css({
padding: '0.75rem 1.5rem',
borderRadius: '6px',
border: 'none',
backgroundColor: 'blue.500',
color: 'white',
fontSize: '0.875rem',
fontWeight: '500',
cursor: 'pointer',
transition: 'all 0.2s',
_hover: {
backgroundColor: 'blue.600',
},
})}
>
Apply
</button>
</div>
</div>
</div>
</div>
)
}

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'use client'
import { useState, useEffect } from 'react'
import * as Tooltip from '@radix-ui/react-tooltip'
import { css } from '../../../../../../../styled-system/css'
import type { WorksheetFormState } from '../../types'
import type { SkillId } from '../../skills'
import { getSkillById, getSkillsByOperator } from '../../skills'
import { AllSkillsModal } from './AllSkillsModal'
import { CustomizeMixModal } from './CustomizeMixModal'
interface MasteryModePanelProps {
formState: WorksheetFormState
onChange: (updates: Partial<WorksheetFormState>) => void
isDark?: boolean
}
/**
* Mastery Mode Panel
*
* Allows users to select a skill to practice, navigate between skills,
* and mark skills as mastered. Displays the current skill with automatic
* configuration based on the skill's pedagogical requirements.
*/
export function MasteryModePanel({ formState, onChange, isDark = false }: MasteryModePanelProps) {
const [masteryStates, setMasteryStates] = useState<Map<SkillId, boolean>>(new Map())
const [isLoadingMastery, setIsLoadingMastery] = useState(true)
const [isAllSkillsModalOpen, setIsAllSkillsModalOpen] = useState(false)
const [isCustomizeMixModalOpen, setIsCustomizeMixModalOpen] = useState(false)
// Get current operator (default to addition, filter out 'mixed')
const rawOperator = formState.operator ?? 'addition'
const operator: 'addition' | 'subtraction' = rawOperator === 'mixed' ? 'addition' : rawOperator
// Get skills for current operator
const availableSkills = getSkillsByOperator(operator)
// Get current skill ID from form state, or use first available skill
const currentSkillId = formState.currentSkillId ?? availableSkills[0]?.id
// Get current skill definition
const currentSkill = currentSkillId ? getSkillById(currentSkillId as SkillId) : availableSkills[0]
// Load mastery states from API
useEffect(() => {
async function loadMasteryStates() {
try {
setIsLoadingMastery(true)
const response = await fetch(`/api/worksheets/mastery?operator=${operator}`)
if (!response.ok) {
throw new Error('Failed to load mastery states')
}
const data = await response.json()
// Convert to Map<SkillId, boolean>
const statesMap = new Map<SkillId, boolean>()
for (const record of data.masteryStates) {
statesMap.set(record.skillId as SkillId, record.isMastered)
}
setMasteryStates(statesMap)
} catch (error) {
console.error('Failed to load mastery states:', error)
} finally {
setIsLoadingMastery(false)
}
}
loadMasteryStates()
}, [operator])
// Apply current skill configuration to form state
useEffect(() => {
if (!currentSkill) return
console.log('[MasteryModePanel] Applying skill config:', {
skillId: currentSkill.id,
skillName: currentSkill.name,
digitRange: currentSkill.digitRange,
pAnyStart: currentSkill.regroupingConfig.pAnyStart,
pAllStart: currentSkill.regroupingConfig.pAllStart,
displayRules: currentSkill.recommendedScaffolding,
operator: currentSkill.operator,
})
// Apply skill's configuration to form state
// This updates the preview to show problems appropriate for this skill
onChange({
// Keep mode as 'mastery' - displayRules will still apply conditional scaffolding
digitRange: currentSkill.digitRange,
pAnyStart: currentSkill.regroupingConfig.pAnyStart,
pAllStart: currentSkill.regroupingConfig.pAllStart,
displayRules: currentSkill.recommendedScaffolding,
operator: currentSkill.operator,
interpolate: false, // CRITICAL: Disable progressive difficulty in mastery mode
} as Partial<WorksheetFormState>)
// eslint-disable-next-line react-hooks/exhaustive-deps
}, [currentSkill?.id]) // Only run when skill ID changes, not when onChange changes
// Handler: Navigate to previous skill
const handlePreviousSkill = () => {
if (!currentSkill) return
const currentIndex = availableSkills.findIndex((s) => s.id === currentSkill.id)
if (currentIndex > 0) {
const prevSkill = availableSkills[currentIndex - 1]
onChange({ currentSkillId: prevSkill.id } as Partial<WorksheetFormState>)
}
}
// Handler: Navigate to next skill
const handleNextSkill = () => {
if (!currentSkill) return
const currentIndex = availableSkills.findIndex((s) => s.id === currentSkill.id)
if (currentIndex < availableSkills.length - 1) {
const nextSkill = availableSkills[currentIndex + 1]
onChange({ currentSkillId: nextSkill.id } as Partial<WorksheetFormState>)
}
}
// Handler: Toggle mastery state
const handleToggleMastery = async () => {
if (!currentSkill) return
const currentMastery = masteryStates.get(currentSkill.id) ?? false
const newMastery = !currentMastery
try {
// Optimistically update UI
const newStates = new Map(masteryStates)
newStates.set(currentSkill.id, newMastery)
setMasteryStates(newStates)
// Update server
const response = await fetch('/api/worksheets/mastery', {
method: 'POST',
headers: { 'Content-Type': 'application/json' },
body: JSON.stringify({
skillId: currentSkill.id,
isMastered: newMastery,
}),
})
if (!response.ok) {
throw new Error('Failed to update mastery state')
}
} catch (error) {
console.error('Failed to update mastery state:', error)
// Revert optimistic update
const revertedStates = new Map(masteryStates)
revertedStates.set(currentSkill.id, currentMastery)
setMasteryStates(revertedStates)
}
}
if (!currentSkill) {
return (
<div
data-component="mastery-mode-panel"
className={css({
padding: '1.5rem',
backgroundColor: isDark ? 'gray.700' : 'gray.50',
borderRadius: '8px',
border: '1px solid',
borderColor: isDark ? 'gray.600' : 'gray.200',
})}
>
<p className={css({ color: isDark ? 'gray.400' : 'gray.600' })}>
No skills available for {operator}
</p>
</div>
)
}
const isMastered = masteryStates.get(currentSkill.id) ?? false
// Check if there are previous/next skills
const currentIndex = availableSkills.findIndex((s) => s.id === currentSkill.id)
const hasPrevious = currentIndex > 0
const hasNext = currentIndex < availableSkills.length - 1
// Calculate mastery progress
const masteredCount = availableSkills.filter((s) => masteryStates.get(s.id) === true).length
const totalCount = availableSkills.length
// Check if there are any mastered review skills available
const hasMasteredReviewSkills = currentSkill.recommendedReview.some(
(skillId) => masteryStates.get(skillId) === true
)
return (
<div
data-component="mastery-mode-panel"
className={css({
padding: '1.5rem',
backgroundColor: isDark ? 'gray.700' : 'gray.50',
borderRadius: '8px',
border: '1px solid',
borderColor: isDark ? 'gray.600' : 'gray.200',
})}
>
{/* Header */}
<div className={css({ marginBottom: '1rem' })}>
<h3
className={css({
fontSize: '0.875rem',
fontWeight: '600',
color: isDark ? 'gray.200' : 'gray.700',
marginBottom: '0.5rem',
textTransform: 'uppercase',
letterSpacing: '0.05em',
})}
>
Current Skill
</h3>
</div>
{/* Skill Name and Status */}
<div
className={css({
display: 'flex',
alignItems: 'center',
justifyContent: 'space-between',
marginBottom: '1rem',
})}
>
<div className={css({ flex: 1 })}>
<div className={css({ display: 'flex', alignItems: 'center', gap: '0.5rem' })}>
<h4
className={css({
fontSize: '1.125rem',
fontWeight: '600',
color: isDark ? 'white' : 'gray.900',
})}
>
{currentSkill.name}
</h4>
{isMastered && (
<span
className={css({
fontSize: '1.25rem',
lineHeight: '1',
})}
title="Mastered"
>
</span>
)}
</div>
<p
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.400' : 'gray.600',
marginTop: '0.25rem',
})}
>
{currentSkill.description}
</p>
</div>
</div>
{/* Navigation and Mastery Controls */}
<div
className={css({
display: 'flex',
gap: '0.75rem',
marginTop: '1.5rem',
})}
>
{/* Previous Button */}
<button
type="button"
data-action="previous-skill"
onClick={handlePreviousSkill}
disabled={!hasPrevious}
className={css({
padding: '0.75rem 1rem',
borderRadius: '6px',
border: '1px solid',
borderColor: isDark ? 'gray.500' : 'gray.300',
backgroundColor: isDark ? 'gray.600' : 'white',
color: isDark ? 'gray.200' : 'gray.700',
fontSize: '0.875rem',
fontWeight: '500',
cursor: 'pointer',
transition: 'all 0.2s',
opacity: hasPrevious ? 1 : 0.5,
_hover: hasPrevious
? {
borderColor: 'blue.400',
backgroundColor: isDark ? 'gray.500' : 'gray.50',
}
: {},
_disabled: {
cursor: 'not-allowed',
},
})}
>
Previous
</button>
{/* Mark as Mastered Toggle */}
<button
type="button"
data-action="toggle-mastery"
onClick={handleToggleMastery}
disabled={isLoadingMastery}
className={css({
flex: 1,
padding: '0.75rem 1rem',
borderRadius: '6px',
border: '1px solid',
borderColor: isMastered ? 'green.500' : isDark ? 'gray.500' : 'gray.300',
backgroundColor: isMastered ? 'green.50' : isDark ? 'gray.600' : 'white',
color: isMastered ? 'green.700' : isDark ? 'gray.200' : 'gray.700',
fontSize: '0.875rem',
fontWeight: '500',
cursor: 'pointer',
transition: 'all 0.2s',
_hover: {
borderColor: isMastered ? 'green.600' : 'blue.400',
backgroundColor: isMastered ? 'green.100' : isDark ? 'gray.500' : 'gray.50',
},
_disabled: {
opacity: 0.5,
cursor: 'not-allowed',
},
})}
>
{isLoadingMastery
? 'Loading...'
: isMastered
? 'Mark as Not Mastered'
: 'Mark as Mastered'}
</button>
{/* Next Button */}
<button
type="button"
data-action="next-skill"
onClick={handleNextSkill}
disabled={!hasNext}
className={css({
padding: '0.75rem 1rem',
borderRadius: '6px',
border: '1px solid',
borderColor: isDark ? 'gray.500' : 'gray.300',
backgroundColor: isDark ? 'gray.600' : 'white',
color: isDark ? 'gray.200' : 'gray.700',
fontSize: '0.875rem',
fontWeight: '500',
cursor: 'pointer',
transition: 'all 0.2s',
opacity: hasNext ? 1 : 0.5,
_hover: hasNext
? {
borderColor: 'blue.400',
backgroundColor: isDark ? 'gray.500' : 'gray.50',
}
: {},
_disabled: {
cursor: 'not-allowed',
},
})}
>
Next
</button>
</div>
{/* Action Buttons */}
<Tooltip.Provider delayDuration={300}>
<div className={css({ marginTop: '1rem', display: 'flex', gap: '0.75rem' })}>
<button
type="button"
data-action="view-all-skills"
onClick={() => setIsAllSkillsModalOpen(true)}
className={css({
flex: 1,
padding: '0.75rem 1rem',
borderRadius: '6px',
border: '1px solid',
borderColor: isDark ? 'gray.500' : 'gray.300',
backgroundColor: isDark ? 'gray.600' : 'white',
color: isDark ? 'gray.200' : 'gray.700',
fontSize: '0.875rem',
fontWeight: '500',
cursor: 'pointer',
transition: 'all 0.2s',
_hover: {
borderColor: 'blue.400',
backgroundColor: isDark ? 'gray.500' : 'gray.50',
},
})}
>
View All Skills ({masteredCount}/{totalCount})
</button>
<Tooltip.Root>
<Tooltip.Trigger asChild>
<button
type="button"
data-action="customize-mix"
onClick={() => setIsCustomizeMixModalOpen(true)}
disabled={!hasMasteredReviewSkills}
className={css({
flex: 1,
padding: '0.75rem 1rem',
borderRadius: '6px',
border: '1px solid',
borderColor: isDark ? 'gray.500' : 'gray.300',
backgroundColor: isDark ? 'gray.600' : 'white',
color: isDark ? 'gray.200' : 'gray.700',
fontSize: '0.875rem',
fontWeight: '500',
cursor: hasMasteredReviewSkills ? 'pointer' : 'not-allowed',
opacity: hasMasteredReviewSkills ? 1 : 0.5,
transition: 'all 0.2s',
_hover: hasMasteredReviewSkills
? {
borderColor: 'blue.400',
backgroundColor: isDark ? 'gray.500' : 'gray.50',
}
: {},
})}
>
Customize Mix
</button>
</Tooltip.Trigger>
{!hasMasteredReviewSkills && (
<Tooltip.Portal>
<Tooltip.Content
side="top"
className={css({
backgroundColor: isDark ? 'gray.800' : 'gray.900',
color: 'white',
padding: '0.5rem 0.75rem',
borderRadius: '6px',
fontSize: '0.875rem',
maxWidth: '250px',
boxShadow: '0 4px 6px rgba(0, 0, 0, 0.1)',
zIndex: 10001,
})}
>
Mark prerequisite skills as mastered to enable review mixing
<Tooltip.Arrow className={css({ fill: isDark ? 'gray.800' : 'gray.900' })} />
</Tooltip.Content>
</Tooltip.Portal>
)}
</Tooltip.Root>
</div>
</Tooltip.Provider>
{/* All Skills Modal */}
<AllSkillsModal
isOpen={isAllSkillsModalOpen}
onClose={() => setIsAllSkillsModalOpen(false)}
skills={availableSkills}
currentSkillId={currentSkill.id}
masteryStates={masteryStates}
onSelectSkill={(skillId) => {
onChange({ currentSkillId: skillId } as Partial<WorksheetFormState>)
}}
onToggleMastery={async (skillId, isMastered) => {
// Optimistically update UI
const newStates = new Map(masteryStates)
newStates.set(skillId, isMastered)
setMasteryStates(newStates)
try {
// Update server
const response = await fetch('/api/worksheets/mastery', {
method: 'POST',
headers: { 'Content-Type': 'application/json' },
body: JSON.stringify({
skillId,
isMastered,
}),
})
if (!response.ok) {
throw new Error('Failed to update mastery state')
}
} catch (error) {
console.error('Failed to update mastery state:', error)
// Revert optimistic update
const revertedStates = new Map(masteryStates)
revertedStates.set(skillId, !isMastered)
setMasteryStates(revertedStates)
}
}}
isDark={isDark}
/>
{/* Customize Mix Modal */}
<CustomizeMixModal
isOpen={isCustomizeMixModalOpen}
onClose={() => setIsCustomizeMixModalOpen(false)}
currentSkill={currentSkill}
masteryStates={masteryStates}
currentMixRatio={formState.reviewMixRatio ?? 0.25}
currentSelectedReviewSkills={formState.selectedReviewSkills as SkillId[] | undefined}
onApply={(mixRatio, selectedReviewSkills) => {
onChange({
reviewMixRatio: mixRatio,
selectedReviewSkills,
} as Partial<WorksheetFormState>)
}}
isDark={isDark}
/>
</div>
)
}

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@@ -0,0 +1,642 @@
'use client'
import { useState, useEffect } from 'react'
import { css } from '../../../../../../../styled-system/css'
import type { WorksheetFormState } from '../../types'
import {
SINGLE_CARRY_PATH,
getStepFromSliderValue,
getSliderValueFromStep,
findNearestStep,
getStepById,
} from '../../progressionPath'
interface ProgressionModePanelProps {
formState: WorksheetFormState
onChange: (updates: Partial<WorksheetFormState>) => void
isDark?: boolean
}
interface MasteryState {
stepId: string
isMastered: boolean
attempts: number
correctCount: number
}
/**
* Progression Mode Panel
*
* Slider-based UI that follows a curated learning path through 3D space:
* - Digit count (1-5 digits)
* - Regrouping difficulty (0-100%)
* - Scaffolding level (full → minimal)
*
* Key feature: Scaffolding cycles as complexity increases (ten-frames return!)
*/
export function ProgressionModePanel({
formState,
onChange,
isDark = false,
}: ProgressionModePanelProps) {
// Get current step from formState or default to first step
const currentStepId = formState.currentStepId ?? SINGLE_CARRY_PATH[0].id
const currentStep = getStepById(currentStepId, SINGLE_CARRY_PATH) ?? SINGLE_CARRY_PATH[0]
// Derive slider value from current step
const sliderValue = getSliderValueFromStep(currentStep.stepNumber, SINGLE_CARRY_PATH.length)
// Track whether advanced controls are expanded
const [showAdvanced, setShowAdvanced] = useState(false)
// Track mastery states for all steps
const [masteryStates, setMasteryStates] = useState<Map<string, MasteryState>>(new Map())
const [isLoadingMastery, setIsLoadingMastery] = useState(true)
// Load mastery data from API
useEffect(() => {
async function loadMasteryStates() {
try {
setIsLoadingMastery(true)
const response = await fetch('/api/worksheets/mastery?operator=addition')
if (!response.ok) {
throw new Error('Failed to load mastery states')
}
const data = await response.json()
// Convert to Map<stepId, MasteryState>
// The API returns data with skill IDs, we'll use them as step IDs for now
const statesMap = new Map<string, MasteryState>()
for (const record of data.masteryStates) {
statesMap.set(record.skillId, {
stepId: record.skillId,
isMastered: record.isMastered,
attempts: record.attempts ?? 0,
correctCount: record.correctCount ?? 0,
})
}
setMasteryStates(statesMap)
} catch (error) {
console.error('Failed to load mastery states:', error)
} finally {
setIsLoadingMastery(false)
}
}
loadMasteryStates()
}, [])
// Apply current step's configuration to form state when step changes
useEffect(() => {
console.log('[ProgressionModePanel] Applying step config:', {
stepId: currentStep.id,
stepName: currentStep.name,
stepNumber: currentStep.stepNumber,
config: currentStep.config,
})
onChange({
currentStepId: currentStep.id,
...currentStep.config,
})
// eslint-disable-next-line react-hooks/exhaustive-deps
}, [currentStep.id]) // Only run when step ID changes
// Handler: Slider value changes
const handleSliderChange = (event: React.ChangeEvent<HTMLInputElement>) => {
const newValue = Number(event.target.value)
const newStep = getStepFromSliderValue(newValue, SINGLE_CARRY_PATH)
console.log('[ProgressionModePanel] Slider changed:', {
sliderValue: newValue,
newStepNumber: newStep.stepNumber,
newStepId: newStep.id,
})
// Apply new step's config
onChange({
currentStepId: newStep.id,
...newStep.config,
})
}
// Handler: Manual digit count change
const handleDigitChange = (digits: number) => {
const updatedConfig = {
...formState,
digitRange: { min: digits, max: digits },
}
// Find nearest step matching new config
const nearestStep = findNearestStep(updatedConfig, SINGLE_CARRY_PATH)
console.log('[ProgressionModePanel] Manual digit change:', {
digits,
nearestStepId: nearestStep.id,
nearestStepNumber: nearestStep.stepNumber,
})
// Apply nearest step's full config (not just digit range)
onChange({
currentStepId: nearestStep.id,
...nearestStep.config,
})
}
// Handler: Manual scaffolding change
const handleScaffoldingChange = (tenFrames: 'whenRegrouping' | 'never') => {
// Build complete displayRules with the new tenFrames value
const displayRules = currentStep.config.displayRules
? { ...currentStep.config.displayRules, tenFrames }
: undefined
const updatedConfig = {
...formState,
displayRules,
}
// Find nearest step matching new config
const nearestStep = findNearestStep(updatedConfig, SINGLE_CARRY_PATH)
console.log('[ProgressionModePanel] Manual scaffolding change:', {
tenFrames,
nearestStepId: nearestStep.id,
nearestStepNumber: nearestStep.stepNumber,
})
// Apply nearest step's full config
onChange({
currentStepId: nearestStep.id,
...nearestStep.config,
})
}
// Determine scaffolding level description
const hasFullScaffolding = currentStep.config.displayRules?.tenFrames === 'whenRegrouping'
const scaffoldingDesc = hasFullScaffolding
? 'Full scaffolding (ten-frames shown)'
: 'Independent practice (no ten-frames)'
// Get next step info
const nextStep = currentStep.nextStepId
? getStepById(currentStep.nextStepId, SINGLE_CARRY_PATH)
: null
return (
<div
data-component="progression-mode-panel"
className={css({
padding: '1.5rem',
backgroundColor: isDark ? 'gray.700' : 'gray.50',
borderRadius: '8px',
border: '1px solid',
borderColor: isDark ? 'gray.600' : 'gray.200',
})}
>
{/* Header */}
<div className={css({ marginBottom: '1.5rem' })}>
<h3
className={css({
fontSize: '0.875rem',
fontWeight: '600',
color: isDark ? 'gray.200' : 'gray.700',
marginBottom: '0.5rem',
textTransform: 'uppercase',
letterSpacing: '0.05em',
})}
>
Difficulty Progression
</h3>
</div>
{/* Slider */}
<div
data-element="slider-container"
className={css({
marginBottom: '1.5rem',
})}
>
<div
className={css({
display: 'flex',
alignItems: 'center',
gap: '0.75rem',
marginBottom: '0.5rem',
})}
>
<span
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.400' : 'gray.600',
})}
>
Easier
</span>
<input
type="range"
min={0}
max={100}
value={sliderValue}
onChange={handleSliderChange}
data-element="difficulty-slider"
className={css({
flex: 1,
cursor: 'pointer',
})}
/>
<span
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.400' : 'gray.600',
})}
>
Harder
</span>
</div>
</div>
{/* Current Status */}
<div
data-element="current-status"
className={css({
marginBottom: '1.5rem',
padding: '1rem',
backgroundColor: isDark ? 'gray.800' : 'white',
borderRadius: '6px',
border: '1px solid',
borderColor: isDark ? 'gray.600' : 'gray.200',
})}
>
<h4
className={css({
fontSize: '0.875rem',
fontWeight: '600',
color: isDark ? 'gray.300' : 'gray.700',
marginBottom: '0.75rem',
})}
>
Currently practicing:
</h4>
<ul
className={css({
listStyle: 'none',
padding: 0,
margin: 0,
display: 'flex',
flexDirection: 'column',
gap: '0.5rem',
})}
>
<li
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.200' : 'gray.800',
display: 'flex',
alignItems: 'center',
gap: '0.5rem',
})}
>
<span className={css({ color: isDark ? 'blue.400' : 'blue.600' })}></span>
{currentStep.config.digitRange?.min}-digit problems
</li>
<li
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.200' : 'gray.800',
display: 'flex',
alignItems: 'center',
gap: '0.5rem',
})}
>
<span className={css({ color: isDark ? 'blue.400' : 'blue.600' })}></span>
{currentStep.name}
</li>
<li
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.200' : 'gray.800',
display: 'flex',
alignItems: 'center',
gap: '0.5rem',
})}
>
<span className={css({ color: isDark ? 'blue.400' : 'blue.600' })}></span>
{scaffoldingDesc}
</li>
</ul>
</div>
{/* Progress Dots */}
<div
data-element="progress-dots"
className={css({
marginBottom: '1.5rem',
display: 'flex',
alignItems: 'center',
gap: '0.75rem',
})}
>
<span
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.400' : 'gray.600',
})}
>
Progress:
</span>
<div
className={css({
display: 'flex',
gap: '0.5rem',
alignItems: 'center',
})}
>
{SINGLE_CARRY_PATH.map((step) => {
const isMastered = masteryStates.get(step.id)?.isMastered ?? false
const isCurrent = step.id === currentStep.id
return (
<span
key={step.id}
data-step={step.stepNumber}
data-current={isCurrent}
data-mastered={isMastered}
className={css({
width: '0.75rem',
height: '0.75rem',
borderRadius: '50%',
backgroundColor: isMastered
? isDark
? 'green.400'
: 'green.600' // Mastered = green
: step.stepNumber <= currentStep.stepNumber
? isDark
? 'blue.400'
: 'blue.600' // Current/past = blue
: isDark
? 'gray.600'
: 'gray.300', // Future = gray
border: isCurrent ? '2px solid' : 'none',
borderColor: isCurrent ? (isDark ? 'yellow.400' : 'yellow.600') : undefined,
transition: 'all 0.2s',
cursor: 'pointer',
})}
title={`${step.name}${isMastered ? ' ✓ Mastered' : ''}`}
/>
)
})}
</div>
<span
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.400' : 'gray.600',
})}
>
Step {currentStep.stepNumber + 1} of {SINGLE_CARRY_PATH.length}
</span>
</div>
{/* Next Milestone */}
{nextStep && (
<div
data-element="next-milestone"
className={css({
marginBottom: '1.5rem',
padding: '1rem',
backgroundColor: isDark ? 'gray.800' : 'blue.50',
borderRadius: '6px',
border: '1px solid',
borderColor: isDark ? 'gray.600' : 'blue.200',
})}
>
<h4
className={css({
fontSize: '0.875rem',
fontWeight: '600',
color: isDark ? 'blue.300' : 'blue.700',
marginBottom: '0.5rem',
})}
>
Next milestone:
</h4>
<p
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.300' : 'gray.700',
margin: 0,
})}
>
{nextStep.description}
</p>
</div>
)}
{/* Advanced Controls Toggle */}
<button
type="button"
onClick={() => setShowAdvanced(!showAdvanced)}
data-action="toggle-advanced-controls"
className={css({
width: '100%',
padding: '0.75rem',
fontSize: '0.875rem',
fontWeight: '500',
color: isDark ? 'blue.400' : 'blue.600',
backgroundColor: isDark ? 'gray.800' : 'white',
border: '1px solid',
borderColor: isDark ? 'gray.600' : 'gray.300',
borderRadius: '6px',
cursor: 'pointer',
display: 'flex',
alignItems: 'center',
justifyContent: 'center',
gap: '0.5rem',
transition: 'all 0.2s',
_hover: {
backgroundColor: isDark ? 'gray.700' : 'gray.50',
},
})}
>
{showAdvanced ? 'Hide' : 'Show'} Advanced Controls
<span className={css({ fontSize: '0.75rem' })}>{showAdvanced ? '▲' : '▼'}</span>
</button>
{/* Advanced Controls (Collapsible) */}
{showAdvanced && (
<div
data-element="advanced-controls"
className={css({
marginTop: '1.5rem',
padding: '1rem',
backgroundColor: isDark ? 'gray.800' : 'white',
borderRadius: '6px',
border: '1px solid',
borderColor: isDark ? 'gray.600' : 'gray.200',
})}
>
{/* Digit Count */}
<div className={css({ marginBottom: '1.5rem' })}>
<label
className={css({
display: 'block',
fontSize: '0.875rem',
fontWeight: '600',
color: isDark ? 'gray.300' : 'gray.700',
marginBottom: '0.75rem',
})}
>
Digit Count:
</label>
<div
className={css({
display: 'flex',
gap: '0.5rem',
})}
>
{[1, 2, 3, 4, 5].map((d) => (
<button
key={d}
type="button"
onClick={() => handleDigitChange(d)}
data-setting="digit-count"
data-value={d}
data-selected={formState.digitRange?.min === d}
className={css({
flex: 1,
padding: '0.5rem',
fontSize: '0.875rem',
fontWeight: '500',
color:
formState.digitRange?.min === d ? 'white' : isDark ? 'gray.300' : 'gray.700',
backgroundColor:
formState.digitRange?.min === d
? isDark
? 'blue.600'
: 'blue.500'
: isDark
? 'gray.700'
: 'gray.100',
border: '1px solid',
borderColor:
formState.digitRange?.min === d
? isDark
? 'blue.500'
: 'blue.400'
: isDark
? 'gray.600'
: 'gray.300',
borderRadius: '4px',
cursor: 'pointer',
transition: 'all 0.2s',
_hover: {
backgroundColor:
formState.digitRange?.min === d
? isDark
? 'blue.500'
: 'blue.400'
: isDark
? 'gray.600'
: 'gray.200',
},
})}
>
{d}
</button>
))}
</div>
</div>
{/* Scaffolding Level */}
<div className={css({ marginBottom: '1rem' })}>
<label
className={css({
display: 'block',
fontSize: '0.875rem',
fontWeight: '600',
color: isDark ? 'gray.300' : 'gray.700',
marginBottom: '0.75rem',
})}
>
Scaffolding Level:
</label>
<div className={css({ display: 'flex', flexDirection: 'column', gap: '0.5rem' })}>
<label
className={css({
display: 'flex',
alignItems: 'center',
gap: '0.5rem',
cursor: 'pointer',
})}
>
<input
type="radio"
name="scaffolding"
checked={formState.displayRules?.tenFrames === 'whenRegrouping'}
onChange={() => handleScaffoldingChange('whenRegrouping')}
data-setting="scaffolding"
data-value="full"
className={css({ cursor: 'pointer' })}
/>
<span
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.200' : 'gray.800',
})}
>
Full (ten-frames, carry boxes, colors)
</span>
</label>
<label
className={css({
display: 'flex',
alignItems: 'center',
gap: '0.5rem',
cursor: 'pointer',
})}
>
<input
type="radio"
name="scaffolding"
checked={formState.displayRules?.tenFrames === 'never'}
onChange={() => handleScaffoldingChange('never')}
data-setting="scaffolding"
data-value="minimal"
className={css({ cursor: 'pointer' })}
/>
<span
className={css({
fontSize: '0.875rem',
color: isDark ? 'gray.200' : 'gray.800',
})}
>
Minimal (no ten-frames)
</span>
</label>
</div>
</div>
{/* Warning */}
<div
className={css({
padding: '0.75rem',
backgroundColor: isDark ? 'yellow.900' : 'yellow.50',
border: '1px solid',
borderColor: isDark ? 'yellow.700' : 'yellow.300',
borderRadius: '4px',
})}
>
<p
className={css({
fontSize: '0.75rem',
color: isDark ? 'yellow.200' : 'yellow.800',
margin: 0,
})}
>
Manual changes will move you to the nearest step on the progression path
</p>
</div>
</div>
)}
</div>
)
}

View File

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/**
* Mastery Mode Logic
*
* Functions for review selection, problem distribution, and mastery worksheet generation.
* Used by the worksheet generator to mix current skill practice with review problems.
*/
import type { WorksheetMastery } from '@/db/schema'
import { SKILL_DEFINITIONS, type SkillDefinition, type SkillId, getSkillById } from './skills'
import type { WorksheetConfig } from './types'
/**
* Mastery state map: skill ID -> mastery record
*/
export type MasteryStateMap = Map<SkillId, WorksheetMastery>
/**
* Review selection result
*/
export interface ReviewSelection {
/** Skills to include in review */
skills: SkillDefinition[]
/** Number of problems per skill */
problemsPerSkill: Map<SkillId, number>
/** Total review problems */
totalProblems: number
}
/**
* Mastery worksheet mix
*/
export interface MasteryWorksheetMix {
/** Current skill being practiced */
currentSkill: SkillDefinition
/** Number of current skill problems */
currentSkillProblems: number
/** Review selection */
review: ReviewSelection
/** Total problems in worksheet */
totalProblems: number
/** Mix ratio (0-1, where 0.25 = 25% review) */
mixRatio: number
}
/**
* Get review skills for a given current skill, filtered by mastery state
*
* @param currentSkill - The skill being practiced
* @param masteryStates - Map of skill IDs to mastery records
* @param selectedReviewSkills - Optional manual override of which review skills to include
* @returns Array of review skills (only mastered skills from recommendedReview)
*/
export function getReviewSkills(
currentSkill: SkillDefinition,
masteryStates: MasteryStateMap,
selectedReviewSkills?: SkillId[]
): SkillDefinition[] {
// If user manually selected review skills, use those (filtered by mastery)
if (selectedReviewSkills && selectedReviewSkills.length > 0) {
return selectedReviewSkills
.filter((skillId) => {
const masteryState = masteryStates.get(skillId)
return masteryState?.isMastered === true
})
.map((skillId) => getSkillById(skillId))
.filter((skill): skill is SkillDefinition => skill !== undefined)
}
// Otherwise, use recommended review skills (filtered by mastery)
return currentSkill.recommendedReview
.filter((skillId) => {
const masteryState = masteryStates.get(skillId)
return masteryState?.isMastered === true
})
.map((skillId) => getSkillById(skillId))
.filter((skill): skill is SkillDefinition => skill !== undefined)
}
/**
* Distribute review problem count across review skills
*
* @param reviewSkills - Array of review skills
* @param totalReviewProblems - Total number of review problems to distribute
* @returns Map of skill ID to problem count
*/
export function distributeReviewProblems(
reviewSkills: SkillDefinition[],
totalReviewProblems: number
): Map<SkillId, number> {
const distribution = new Map<SkillId, number>()
if (reviewSkills.length === 0) {
return distribution
}
// Simple strategy: distribute evenly, with remainder going to first skills
const baseCount = Math.floor(totalReviewProblems / reviewSkills.length)
const remainder = totalReviewProblems % reviewSkills.length
reviewSkills.forEach((skill, index) => {
const count = baseCount + (index < remainder ? 1 : 0)
if (count > 0) {
distribution.set(skill.id, count)
}
})
return distribution
}
/**
* Calculate mastery worksheet mix
*
* @param currentSkillId - The skill being practiced
* @param masteryStates - Map of skill IDs to mastery records
* @param totalProblems - Total problems in worksheet
* @param mixRatio - Review ratio (0-1, where 0.25 = 25% review)
* @param selectedReviewSkills - Optional manual override of which review skills to include
* @returns Mastery worksheet mix breakdown
*/
export function calculateMasteryMix(
currentSkillId: SkillId,
masteryStates: MasteryStateMap,
totalProblems: number,
mixRatio: number = 0.25,
selectedReviewSkills?: SkillId[]
): MasteryWorksheetMix {
const currentSkill = getSkillById(currentSkillId)
if (!currentSkill) {
throw new Error(`Skill not found: ${currentSkillId}`)
}
// Clamp mix ratio to 0-1
const clampedRatio = Math.max(0, Math.min(1, mixRatio))
// Calculate problem counts
const reviewProblemCount = Math.floor(totalProblems * clampedRatio)
const currentProblemCount = totalProblems - reviewProblemCount
// Get review skills
const reviewSkills = getReviewSkills(currentSkill, masteryStates, selectedReviewSkills)
// Distribute review problems
const problemsPerSkill = distributeReviewProblems(reviewSkills, reviewProblemCount)
return {
currentSkill,
currentSkillProblems: currentProblemCount,
review: {
skills: reviewSkills,
problemsPerSkill,
totalProblems: reviewProblemCount,
},
totalProblems,
mixRatio: clampedRatio,
}
}
/**
* Convert skill definition to WorksheetConfig for problem generation
*
* This is the bridge between mastery mode and smart mode.
* Each skill's configuration (digitRange, regrouping, scaffolding) maps directly
* to a Smart Mode configuration.
*
* @param skill - Skill definition
* @param problemCount - Number of problems to generate for this skill
* @returns WorksheetConfig for problem generation
*/
export function skillToConfig(
skill: SkillDefinition,
problemCount: number
): Partial<WorksheetConfig> {
return {
version: 4,
mode: 'smart',
// Digit range from skill
digitRange: skill.digitRange,
// Regrouping configuration from skill
pAnyStart: skill.regroupingConfig.pAnyStart,
pAllStart: skill.regroupingConfig.pAllStart,
// Scaffolding from skill
displayRules: skill.recommendedScaffolding,
// Problem count
problemsPerPage: problemCount,
// Operator from skill
operator: skill.operator,
}
}
/**
* Generate worksheet configuration for mastery mode
*
* This function takes a mastery mix and converts it into a configuration
* that can be used to generate problems. It's the final step before problem generation.
*
* @param mix - Mastery worksheet mix
* @returns WorksheetConfig for the entire worksheet
*/
export function generateMasteryWorksheetConfig(
mix: MasteryWorksheetMix
): Partial<WorksheetConfig> & {
_masteryMix?: {
currentSkillId: SkillId
currentSkillProblems: number
reviewProblems: number
reviewSkills: SkillId[]
reviewProblemCounts: Record<string, number>
mixRatio: number
}
} {
// Start with current skill config
const config = skillToConfig(mix.currentSkill, mix.totalProblems)
// Add mastery-specific metadata for UI observability
// (This is stored separately and not persisted to the schema)
return {
...config,
// Store review breakdown for observability
// (This can be used by the UI to show what's in the mix)
_masteryMix: {
currentSkillId: mix.currentSkill.id,
currentSkillProblems: mix.currentSkillProblems,
reviewProblems: mix.review.totalProblems,
reviewSkills: mix.review.skills.map((s) => s.id),
reviewProblemCounts: Object.fromEntries(mix.review.problemsPerSkill),
mixRatio: mix.mixRatio,
},
}
}
/**
* Helper: Get mastery state for a skill (or create default if not exists)
*
* @param skillId - Skill ID
* @param masteryStates - Map of skill IDs to mastery records
* @returns Mastery state (or default state if not found)
*/
export function getMasteryState(
skillId: SkillId,
masteryStates: MasteryStateMap
): WorksheetMastery | { isMastered: false } {
return masteryStates.get(skillId) || { isMastered: false }
}
/**
* Helper: Check if a skill's prerequisites are met
*
* @param skill - Skill definition
* @param masteryStates - Map of skill IDs to mastery records
* @returns True if all prerequisites are mastered
*/
export function arePrerequisitesMet(
skill: SkillDefinition,
masteryStates: MasteryStateMap
): boolean {
return skill.prerequisites.every((prereqId) => {
const state = getMasteryState(prereqId, masteryStates)
return state.isMastered === true
})
}
/**
* Helper: Get next available skill (first skill with unmet prerequisites or not mastered)
*
* @param operator - "addition" or "subtraction"
* @param masteryStates - Map of skill IDs to mastery records
* @returns Next skill to practice, or undefined if all mastered
*/
export function getNextAvailableSkill(
operator: 'addition' | 'subtraction',
masteryStates: MasteryStateMap
): SkillDefinition | undefined {
const skills = SKILL_DEFINITIONS.filter((s) => s.operator === operator)
// Find first skill that is not mastered
return skills.find((skill) => {
const state = getMasteryState(skill.id, masteryStates)
return state.isMastered !== true
})
}

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// Progression path system for guided worksheet configuration
// Maps a 1D slider to discrete steps through 3D space (digit count × regrouping × scaffolding)
import type { WorksheetFormState } from './types'
/**
* A single step in the mastery progression path
* Each step represents a complete worksheet configuration
*/
export interface ProgressionStep {
// Unique ID for this step
id: string
// Position in progression (0-based)
stepNumber: number
// Which technique is being practiced
technique:
| 'basic-addition'
| 'single-carry'
| 'multi-carry'
| 'basic-subtraction'
| 'single-borrow'
| 'multi-borrow'
// Human-readable description
name: string
description: string
// Complete worksheet configuration for this step
// Uses worksheet config v4 format - no new version!
config: Partial<WorksheetFormState>
// Mastery tracking
masteryThreshold: number // e.g., 0.85 = 85% accuracy required
minimumAttempts: number // e.g., 15 problems minimum
// Navigation
nextStepId: string | null
previousStepId: string | null
}
/**
* Complete progression path for single-carry technique
* This path demonstrates the scaffolding cycle pattern:
* - Increase complexity (digit count) → reintroduce scaffolding (ten-frames)
* - Fade scaffolding (remove ten-frames)
* - Repeat
*/
export const SINGLE_CARRY_PATH: ProgressionStep[] = [
// ========================================================================
// PHASE 1: Single-digit carrying
// ========================================================================
// Step 0: 1-digit with full scaffolding
{
id: 'single-carry-1d-full',
stepNumber: 0,
technique: 'single-carry',
name: 'Single-digit carrying (with support)',
description: 'Learn carrying with single-digit problems and visual support',
config: {
digitRange: { min: 1, max: 1 },
operator: 'addition',
pAnyStart: 1.0, // 100% regrouping
pAllStart: 0,
displayRules: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'whenRegrouping', // ← FULL SCAFFOLDING
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
interpolate: false, // No progressive difficulty in mastery mode
},
masteryThreshold: 0.9,
minimumAttempts: 20,
nextStepId: 'single-carry-1d-minimal',
previousStepId: null,
},
// Step 1: 1-digit with minimal scaffolding
{
id: 'single-carry-1d-minimal',
stepNumber: 1,
technique: 'single-carry',
name: 'Single-digit carrying (independent)',
description: 'Practice carrying without visual aids',
config: {
digitRange: { min: 1, max: 1 },
operator: 'addition',
pAnyStart: 1.0,
pAllStart: 0,
displayRules: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never', // ← SCAFFOLDING FADED
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
interpolate: false,
},
masteryThreshold: 0.9,
minimumAttempts: 20,
nextStepId: 'single-carry-2d-full',
previousStepId: 'single-carry-1d-full',
},
// ========================================================================
// PHASE 2: Two-digit carrying (ones place only)
// ========================================================================
// Step 2: 2-digit with full scaffolding (SCAFFOLDING RETURNS!)
{
id: 'single-carry-2d-full',
stepNumber: 2,
technique: 'single-carry',
name: 'Two-digit carrying (with support)',
description: 'Apply carrying to two-digit problems with visual support',
config: {
digitRange: { min: 2, max: 2 },
operator: 'addition',
pAnyStart: 1.0,
pAllStart: 0, // Ones place only
displayRules: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'whenRegrouping', // ← SCAFFOLDING RETURNS for new complexity!
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
interpolate: false,
},
masteryThreshold: 0.85,
minimumAttempts: 20,
nextStepId: 'single-carry-2d-minimal',
previousStepId: 'single-carry-1d-minimal',
},
// Step 3: 2-digit with minimal scaffolding
{
id: 'single-carry-2d-minimal',
stepNumber: 3,
technique: 'single-carry',
name: 'Two-digit carrying (independent)',
description: 'Practice two-digit carrying without visual aids',
config: {
digitRange: { min: 2, max: 2 },
operator: 'addition',
pAnyStart: 1.0,
pAllStart: 0,
displayRules: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never', // ← SCAFFOLDING FADED
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
interpolate: false,
},
masteryThreshold: 0.85,
minimumAttempts: 20,
nextStepId: 'single-carry-3d-full',
previousStepId: 'single-carry-2d-full',
},
// ========================================================================
// PHASE 3: Three-digit carrying (ones place only)
// ========================================================================
// Step 4: 3-digit with full scaffolding (SCAFFOLDING RETURNS AGAIN!)
{
id: 'single-carry-3d-full',
stepNumber: 4,
technique: 'single-carry',
name: 'Three-digit carrying (with support)',
description: 'Apply carrying to three-digit problems with visual support',
config: {
digitRange: { min: 3, max: 3 },
operator: 'addition',
pAnyStart: 1.0,
pAllStart: 0, // Ones place only
displayRules: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'whenRegrouping', // ← SCAFFOLDING RETURNS for 3-digit!
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
interpolate: false,
},
masteryThreshold: 0.85,
minimumAttempts: 20,
nextStepId: 'single-carry-3d-minimal',
previousStepId: 'single-carry-2d-minimal',
},
// Step 5: 3-digit with minimal scaffolding
{
id: 'single-carry-3d-minimal',
stepNumber: 5,
technique: 'single-carry',
name: 'Three-digit carrying (independent)',
description: 'Practice three-digit carrying without visual aids',
config: {
digitRange: { min: 3, max: 3 },
operator: 'addition',
pAnyStart: 1.0,
pAllStart: 0,
displayRules: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never', // ← SCAFFOLDING FADED
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
interpolate: false,
},
masteryThreshold: 0.85,
minimumAttempts: 20,
nextStepId: null, // End of single-carry path (for now)
previousStepId: 'single-carry-3d-full',
},
]
/**
* Map slider value (0-100) to progression step
* @param sliderValue - Value from 0 to 100
* @param path - Progression path to use
* @returns The step corresponding to this slider position
*/
export function getStepFromSliderValue(
sliderValue: number,
path: ProgressionStep[]
): ProgressionStep {
// Clamp slider value
const clampedValue = Math.max(0, Math.min(100, sliderValue))
// Map to step index
const stepIndex = Math.round((clampedValue / 100) * (path.length - 1))
return path[stepIndex]
}
/**
* Map progression step to slider value (0-100)
* @param stepNumber - Step number (0-based)
* @param pathLength - Total number of steps in path
* @returns Slider value from 0 to 100
*/
export function getSliderValueFromStep(stepNumber: number, pathLength: number): number {
if (pathLength <= 1) return 0
return (stepNumber / (pathLength - 1)) * 100
}
/**
* Find nearest step in path matching given config
* Useful when user manually changes settings - finds where they are on the path
* @param config - Current worksheet configuration
* @param path - Progression path to search
* @returns The step that best matches the config
*/
export function findNearestStep(
config: Partial<WorksheetFormState>,
path: ProgressionStep[]
): ProgressionStep {
let bestMatch = path[0]
let bestScore = -Infinity
for (const step of path) {
let score = 0
// Match digit range (most important - 100 points)
if (
step.config.digitRange?.min === config.digitRange?.min &&
step.config.digitRange?.max === config.digitRange?.max
) {
score += 100
}
// Match regrouping config (50 points each)
if (step.config.pAnyStart === config.pAnyStart) score += 50
if (step.config.pAllStart === config.pAllStart) score += 50
// Match scaffolding - ten-frames (30 points)
if (step.config.displayRules?.tenFrames === config.displayRules?.tenFrames) {
score += 30
}
// Match operator (20 points)
if (step.config.operator === config.operator) score += 20
if (score > bestScore) {
bestScore = score
bestMatch = step
}
}
return bestMatch
}
/**
* Check if config exactly matches a step
* @param config - Current worksheet configuration
* @param step - Step to compare against
* @returns True if config matches step configuration
*/
export function configMatchesStep(
config: Partial<WorksheetFormState>,
step: ProgressionStep
): boolean {
return (
config.digitRange?.min === step.config.digitRange?.min &&
config.digitRange?.max === step.config.digitRange?.max &&
config.pAnyStart === step.config.pAnyStart &&
config.pAllStart === step.config.pAllStart &&
config.displayRules?.tenFrames === step.config.displayRules?.tenFrames &&
config.operator === step.config.operator
)
}
/**
* Get step by ID
* @param stepId - Step ID to find
* @param path - Progression path to search
* @returns The step with matching ID, or undefined
*/
export function getStepById(stepId: string, path: ProgressionStep[]): ProgressionStep | undefined {
return path.find((step) => step.id === stepId)
}

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// Migration mapping from old skill IDs to new progression step IDs
// This allows existing mastery data to work with the new progression system
import type { SkillId } from './skills'
/**
* Maps old skill IDs to new progression step IDs
*
* Strategy:
* - Old skills with ten-frames → map to "full" scaffolding steps
* - Old skills without ten-frames → map to "minimal" scaffolding steps
* - Skills that don't have a direct equivalent → map to closest step
*/
export const SKILL_TO_STEP_MIGRATION: Record<SkillId, string> = {
// ============================================================================
// ADDITION SKILLS → SINGLE_CARRY_PATH steps
// ============================================================================
// Single-digit addition
'sd-no-regroup': 'single-carry-1d-full', // Basic addition, map to first step
'sd-simple-regroup': 'single-carry-1d-full', // Has ten-frames → full scaffolding
// Two-digit addition
'td-no-regroup': 'single-carry-2d-full', // No regrouping, but map to 2-digit entry point
'td-ones-regroup': 'single-carry-2d-full', // Ones place regrouping → 2-digit full
'td-mixed-regroup': 'single-carry-2d-minimal', // Mixed regrouping, more advanced → minimal
'td-full-regroup': 'single-carry-2d-minimal', // Full regrouping → minimal scaffolding
// Three-digit addition
'3d-no-regroup': 'single-carry-3d-full', // No regrouping, but map to 3-digit entry
'3d-simple-regroup': 'single-carry-3d-full', // Simple regrouping → full scaffolding
'3d-full-regroup': 'single-carry-3d-minimal', // Full regrouping → minimal scaffolding
// Four/five-digit addition (no direct equivalent, map to end of path)
'4d-mastery': 'single-carry-3d-minimal', // Advanced, map to final step
'5d-mastery': 'single-carry-3d-minimal', // Advanced, map to final step
// ============================================================================
// SUBTRACTION SKILLS → Future borrowing paths
// ============================================================================
// For now, map to addition equivalents (will create SINGLE_BORROW_PATH later)
// Single-digit subtraction
'sd-sub-no-borrow': 'single-carry-1d-full', // Map to equivalent complexity
'sd-sub-borrow': 'single-carry-1d-full',
// Two-digit subtraction
'td-sub-no-borrow': 'single-carry-2d-full',
'td-sub-ones-borrow': 'single-carry-2d-full',
'td-sub-mixed-borrow': 'single-carry-2d-minimal',
'td-sub-full-borrow': 'single-carry-2d-minimal',
// Three-digit subtraction
'3d-sub-simple': 'single-carry-3d-full',
'3d-sub-complex': 'single-carry-3d-minimal',
// Four/five-digit subtraction
'4d-sub-mastery': 'single-carry-3d-minimal',
'5d-sub-mastery': 'single-carry-3d-minimal',
}
/**
* Migrate old skill ID to new step ID
* @param skillId - Old skill ID from skills.ts
* @returns New step ID from progressionPath.ts
*/
export function migrateSkillToStep(skillId: SkillId): string {
return SKILL_TO_STEP_MIGRATION[skillId] ?? 'single-carry-1d-full'
}
/**
* Check if a skill ID exists in the migration mapping
*/
export function isSkillMigrated(skillId: SkillId): boolean {
return skillId in SKILL_TO_STEP_MIGRATION
}
/**
* Get all old skill IDs that map to a given step ID
* Useful for displaying which legacy skills contributed to a step's mastery
*/
export function getSkillsForStep(stepId: string): SkillId[] {
return Object.entries(SKILL_TO_STEP_MIGRATION)
.filter(([_, targetStepId]) => targetStepId === stepId)
.map(([skillId]) => skillId as SkillId)
}

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// Skill definitions for mastery mode
// Each skill represents a pedagogical milestone in learning addition/subtraction
import type { DisplayRules } from './displayRules'
/**
* Skill IDs follow naming convention:
* - Prefix: sd (single-digit), td (two-digit), 3d/4d/5d (multi-digit)
* - Operation: addition skills have descriptive names, subtraction uses "sub" prefix
* - Complexity: no-regroup, simple-regroup, ones-regroup, mixed-regroup, full-regroup
*/
export type SkillId =
// Single-digit addition
| 'sd-no-regroup'
| 'sd-simple-regroup'
// Two-digit addition
| 'td-no-regroup'
| 'td-ones-regroup'
| 'td-mixed-regroup'
| 'td-full-regroup'
// Three-digit addition
| '3d-no-regroup'
| '3d-simple-regroup'
| '3d-full-regroup'
// Four/five-digit addition
| '4d-mastery'
| '5d-mastery'
// Single-digit subtraction
| 'sd-sub-no-borrow'
| 'sd-sub-borrow'
// Two-digit subtraction
| 'td-sub-no-borrow'
| 'td-sub-ones-borrow'
| 'td-sub-mixed-borrow'
| 'td-sub-full-borrow'
// Three-digit subtraction
| '3d-sub-simple'
| '3d-sub-complex'
// Four/five-digit subtraction
| '4d-sub-mastery'
| '5d-sub-mastery'
export interface SkillDefinition {
id: SkillId
name: string
description: string
operator: 'addition' | 'subtraction'
// Problem generation constraints
digitRange: { min: number; max: number }
regroupingConfig: {
pAnyStart: number
pAllStart: number
}
// Pedagogical settings
recommendedScaffolding: DisplayRules
recommendedProblemCount: number
// Mastery validation (for future grading)
masteryThreshold: number // 0.0-1.0 (e.g., 0.85 = 85% accuracy)
minimumAttempts: number // Min problems to qualify for mastery
// Dependency graph
prerequisites: SkillId[] // Skills that must be mastered first
recommendedReview: SkillId[] // 1-2 skills to include in review mix
}
/**
* All skill definitions (21 total: 11 addition, 10 subtraction)
* Organized in pedagogical progression order
*/
export const SKILL_DEFINITIONS: SkillDefinition[] = [
// ============================================================================
// ADDITION SKILLS (11 total)
// ============================================================================
// Single-Digit Addition (2 skills)
{
id: 'sd-no-regroup',
name: 'Single-digit without regrouping',
description: 'Simple single-digit addition like 3+5, 2+4',
operator: 'addition',
digitRange: { min: 1, max: 1 },
regroupingConfig: { pAnyStart: 0, pAllStart: 0 },
recommendedScaffolding: {
carryBoxes: 'always',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never', // Not needed for simple problems
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedProblemCount: 20,
masteryThreshold: 0.9,
minimumAttempts: 20,
prerequisites: [],
recommendedReview: [],
},
{
id: 'sd-simple-regroup',
name: 'Single-digit with regrouping',
description: 'Single-digit addition with carrying like 7+8, 9+6',
operator: 'addition',
digitRange: { min: 1, max: 1 },
regroupingConfig: { pAnyStart: 1.0, pAllStart: 0 },
recommendedScaffolding: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'whenRegrouping', // Help visualize making ten
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedProblemCount: 20,
masteryThreshold: 0.9,
minimumAttempts: 20,
prerequisites: ['sd-no-regroup'],
recommendedReview: ['sd-no-regroup'],
},
// Two-Digit Addition (4 skills)
{
id: 'td-no-regroup',
name: 'Two-digit without regrouping',
description: 'Two-digit addition without carrying like 23+45, 31+28',
operator: 'addition',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0, pAllStart: 0 },
recommendedScaffolding: {
carryBoxes: 'always', // Show structure even when not needed
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedProblemCount: 15,
masteryThreshold: 0.85,
minimumAttempts: 15,
prerequisites: ['sd-simple-regroup'],
recommendedReview: ['sd-simple-regroup'],
},
{
id: 'td-ones-regroup',
name: 'Two-digit with ones place regrouping',
description: 'Two-digit addition with carrying in ones place like 38+27, 49+15',
operator: 'addition',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0.5, pAllStart: 0 },
recommendedScaffolding: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'whenRegrouping',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedProblemCount: 15,
masteryThreshold: 0.85,
minimumAttempts: 15,
prerequisites: ['td-no-regroup'],
recommendedReview: ['td-no-regroup'],
},
{
id: 'td-mixed-regroup',
name: 'Two-digit with mixed regrouping',
description: 'Two-digit addition with varied regrouping like 67+58, 84+73',
operator: 'addition',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0.7, pAllStart: 0.2 },
recommendedScaffolding: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'whenMultipleRegroups',
placeValueColors: 'whenRegrouping',
tenFrames: 'whenRegrouping',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedProblemCount: 15,
masteryThreshold: 0.85,
minimumAttempts: 15,
prerequisites: ['td-ones-regroup'],
recommendedReview: ['td-no-regroup', 'td-ones-regroup'],
},
{
id: 'td-full-regroup',
name: 'Two-digit with frequent regrouping',
description: 'Two-digit addition with high regrouping frequency like 88+99, 76+67',
operator: 'addition',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0.9, pAllStart: 0.5 },
recommendedScaffolding: {
carryBoxes: 'whenMultipleRegroups',
answerBoxes: 'whenMultipleRegroups',
placeValueColors: 'whenMultipleRegroups',
tenFrames: 'whenRegrouping',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedProblemCount: 15,
masteryThreshold: 0.8,
minimumAttempts: 15,
prerequisites: ['td-mixed-regroup'],
recommendedReview: ['td-ones-regroup', 'td-mixed-regroup'],
},
// Three-Digit Addition (3 skills)
{
id: '3d-no-regroup',
name: 'Three-digit without regrouping',
description: 'Three-digit addition without carrying like 234+451, 123+456',
operator: 'addition',
digitRange: { min: 3, max: 3 },
regroupingConfig: { pAnyStart: 0, pAllStart: 0 },
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedProblemCount: 12,
masteryThreshold: 0.85,
minimumAttempts: 12,
prerequisites: ['td-full-regroup'],
recommendedReview: ['td-mixed-regroup', 'td-full-regroup'],
},
{
id: '3d-simple-regroup',
name: 'Three-digit with occasional regrouping',
description: 'Three-digit addition with some carrying like 367+258, 484+273',
operator: 'addition',
digitRange: { min: 3, max: 3 },
regroupingConfig: { pAnyStart: 0.5, pAllStart: 0.1 },
recommendedScaffolding: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'whenMultipleRegroups',
placeValueColors: 'whenRegrouping',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedProblemCount: 12,
masteryThreshold: 0.8,
minimumAttempts: 12,
prerequisites: ['3d-no-regroup'],
recommendedReview: ['td-full-regroup', '3d-no-regroup'],
},
{
id: '3d-full-regroup',
name: 'Three-digit with frequent regrouping',
description: 'Three-digit addition with high regrouping like 888+999, 767+676',
operator: 'addition',
digitRange: { min: 3, max: 3 },
regroupingConfig: { pAnyStart: 0.9, pAllStart: 0.6 },
recommendedScaffolding: {
carryBoxes: 'whenMultipleRegroups',
answerBoxes: 'never',
placeValueColors: 'when3PlusDigits',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedProblemCount: 12,
masteryThreshold: 0.8,
minimumAttempts: 12,
prerequisites: ['3d-simple-regroup'],
recommendedReview: ['3d-no-regroup', '3d-simple-regroup'],
},
// Four/Five-Digit Addition (2 skills)
{
id: '4d-mastery',
name: 'Four-digit mastery',
description: 'Four-digit addition with varied regrouping like 3847+2956',
operator: 'addition',
digitRange: { min: 4, max: 4 },
regroupingConfig: { pAnyStart: 0.8, pAllStart: 0.4 },
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'never',
placeValueColors: 'when3PlusDigits',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedProblemCount: 10,
masteryThreshold: 0.8,
minimumAttempts: 10,
prerequisites: ['3d-full-regroup'],
recommendedReview: ['3d-simple-regroup', '3d-full-regroup'],
},
{
id: '5d-mastery',
name: 'Five-digit mastery',
description: 'Five-digit addition with varied regrouping like 38472+29563',
operator: 'addition',
digitRange: { min: 5, max: 5 },
regroupingConfig: { pAnyStart: 0.85, pAllStart: 0.5 },
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'never',
placeValueColors: 'when3PlusDigits',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedProblemCount: 10,
masteryThreshold: 0.75,
minimumAttempts: 10,
prerequisites: ['4d-mastery'],
recommendedReview: ['3d-full-regroup', '4d-mastery'],
},
// ============================================================================
// SUBTRACTION SKILLS (10 total)
// ============================================================================
// Single-Digit Subtraction (2 skills)
{
id: 'sd-sub-no-borrow',
name: 'Single-digit without borrowing',
description: 'Simple subtraction like 8-3, 9-4',
operator: 'subtraction',
digitRange: { min: 1, max: 1 },
regroupingConfig: { pAnyStart: 0, pAllStart: 0 },
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'always',
borrowingHints: 'always',
},
recommendedProblemCount: 20,
masteryThreshold: 0.9,
minimumAttempts: 20,
prerequisites: [],
recommendedReview: [],
},
{
id: 'sd-sub-borrow',
name: 'Single-digit with borrowing',
description: 'Subtraction with borrowing like 13-7, 15-8',
operator: 'subtraction',
digitRange: { min: 1, max: 1 },
regroupingConfig: { pAnyStart: 1.0, pAllStart: 0 },
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'whenRegrouping',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'whenRegrouping',
borrowingHints: 'whenRegrouping',
},
recommendedProblemCount: 20,
masteryThreshold: 0.9,
minimumAttempts: 20,
prerequisites: ['sd-sub-no-borrow'],
recommendedReview: ['sd-sub-no-borrow'],
},
// Two-Digit Subtraction (4 skills)
{
id: 'td-sub-no-borrow',
name: 'Two-digit without borrowing',
description: 'Two-digit subtraction without borrowing like 68-43',
operator: 'subtraction',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0, pAllStart: 0 },
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'always',
borrowingHints: 'always',
},
recommendedProblemCount: 15,
masteryThreshold: 0.85,
minimumAttempts: 15,
prerequisites: ['sd-sub-borrow'],
recommendedReview: ['sd-sub-borrow'],
},
{
id: 'td-sub-ones-borrow',
name: 'Two-digit with ones place borrowing',
description: 'Two-digit subtraction with borrowing in ones like 52-27',
operator: 'subtraction',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0.5, pAllStart: 0 },
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'whenRegrouping',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'whenRegrouping',
borrowingHints: 'whenRegrouping',
},
recommendedProblemCount: 15,
masteryThreshold: 0.85,
minimumAttempts: 15,
prerequisites: ['td-sub-no-borrow'],
recommendedReview: ['td-sub-no-borrow'],
},
{
id: 'td-sub-mixed-borrow',
name: 'Two-digit with mixed borrowing',
description: 'Two-digit subtraction with varied borrowing like 73-48',
operator: 'subtraction',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0.7, pAllStart: 0.2 },
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'whenMultipleRegroups',
placeValueColors: 'whenRegrouping',
tenFrames: 'whenRegrouping',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'whenRegrouping',
borrowingHints: 'whenMultipleRegroups',
},
recommendedProblemCount: 15,
masteryThreshold: 0.85,
minimumAttempts: 15,
prerequisites: ['td-sub-ones-borrow'],
recommendedReview: ['td-sub-no-borrow', 'td-sub-ones-borrow'],
},
{
id: 'td-sub-full-borrow',
name: 'Two-digit with frequent borrowing',
description: 'Two-digit subtraction with high borrowing frequency like 91-78',
operator: 'subtraction',
digitRange: { min: 2, max: 2 },
regroupingConfig: { pAnyStart: 0.9, pAllStart: 0.5 },
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'whenMultipleRegroups',
placeValueColors: 'whenMultipleRegroups',
tenFrames: 'whenRegrouping',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'whenRegrouping',
borrowingHints: 'never',
},
recommendedProblemCount: 15,
masteryThreshold: 0.8,
minimumAttempts: 15,
prerequisites: ['td-sub-mixed-borrow'],
recommendedReview: ['td-sub-ones-borrow', 'td-sub-mixed-borrow'],
},
// Three-Digit Subtraction (2 skills - simplified from addition)
{
id: '3d-sub-simple',
name: 'Three-digit with occasional borrowing',
description: 'Three-digit subtraction with some borrowing like 567-238',
operator: 'subtraction',
digitRange: { min: 3, max: 3 },
regroupingConfig: { pAnyStart: 0.5, pAllStart: 0.1 },
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'whenMultipleRegroups',
placeValueColors: 'whenRegrouping',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'whenRegrouping',
borrowingHints: 'never',
},
recommendedProblemCount: 12,
masteryThreshold: 0.8,
minimumAttempts: 12,
prerequisites: ['td-sub-full-borrow'],
recommendedReview: ['td-sub-mixed-borrow', 'td-sub-full-borrow'],
},
{
id: '3d-sub-complex',
name: 'Three-digit with frequent borrowing',
description: 'Three-digit subtraction with high borrowing like 801-567',
operator: 'subtraction',
digitRange: { min: 3, max: 3 },
regroupingConfig: { pAnyStart: 0.9, pAllStart: 0.6 },
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'never',
placeValueColors: 'when3PlusDigits',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'whenRegrouping',
borrowingHints: 'never',
},
recommendedProblemCount: 12,
masteryThreshold: 0.8,
minimumAttempts: 12,
prerequisites: ['3d-sub-simple'],
recommendedReview: ['td-sub-full-borrow', '3d-sub-simple'],
},
// Four/Five-Digit Subtraction (2 skills)
{
id: '4d-sub-mastery',
name: 'Four-digit subtraction mastery',
description: 'Four-digit subtraction with varied borrowing like 5847-2956',
operator: 'subtraction',
digitRange: { min: 4, max: 4 },
regroupingConfig: { pAnyStart: 0.8, pAllStart: 0.4 },
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'never',
placeValueColors: 'when3PlusDigits',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'whenRegrouping',
borrowingHints: 'never',
},
recommendedProblemCount: 10,
masteryThreshold: 0.8,
minimumAttempts: 10,
prerequisites: ['3d-sub-complex'],
recommendedReview: ['3d-sub-simple', '3d-sub-complex'],
},
{
id: '5d-sub-mastery',
name: 'Five-digit subtraction mastery',
description: 'Five-digit subtraction with varied borrowing like 58472-29563',
operator: 'subtraction',
digitRange: { min: 5, max: 5 },
regroupingConfig: { pAnyStart: 0.85, pAllStart: 0.5 },
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'never',
placeValueColors: 'when3PlusDigits',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'whenRegrouping',
borrowingHints: 'never',
},
recommendedProblemCount: 10,
masteryThreshold: 0.75,
minimumAttempts: 10,
prerequisites: ['4d-sub-mastery'],
recommendedReview: ['3d-sub-complex', '4d-sub-mastery'],
},
]
/**
* Helper: Get skill definition by ID
*/
export function getSkillById(id: SkillId): SkillDefinition | undefined {
return SKILL_DEFINITIONS.find((skill) => skill.id === id)
}
/**
* Helper: Get all skills for a given operator
*/
export function getSkillsByOperator(operator: 'addition' | 'subtraction'): SkillDefinition[] {
return SKILL_DEFINITIONS.filter((skill) => skill.operator === operator)
}
/**
* Helper: Find next skill in progression (null if at end or prerequisites not met)
*/
export function findNextSkill(
currentSkillId: SkillId,
masteryStates: Map<SkillId, boolean>,
operator: 'addition' | 'subtraction'
): SkillDefinition | null {
const skills = getSkillsByOperator(operator)
const currentIndex = skills.findIndex((s) => s.id === currentSkillId)
if (currentIndex === -1 || currentIndex === skills.length - 1) {
return null // Not found or at end
}
const nextSkill = skills[currentIndex + 1]
// Check if prerequisites are met
const prereqsMet = nextSkill.prerequisites.every(
(prereqId) => masteryStates.get(prereqId) === true
)
return prereqsMet ? nextSkill : null
}
/**
* Helper: Find previous skill in progression
*/
export function findPreviousSkill(
currentSkillId: SkillId,
operator: 'addition' | 'subtraction'
): SkillDefinition | null {
const skills = getSkillsByOperator(operator)
const currentIndex = skills.findIndex((s) => s.id === currentSkillId)
if (currentIndex <= 0) {
return null // Not found or at start
}
return skills[currentIndex - 1]
}
/**
* Helper: Get the first umastered skill with prerequisites met
*/
export function findCurrentSkill(
masteryStates: Map<SkillId, boolean>,
operator: 'addition' | 'subtraction'
): SkillDefinition {
const skills = getSkillsByOperator(operator)
for (const skill of skills) {
// Check if already mastered
if (masteryStates.get(skill.id) === true) continue
// Check if prerequisites are met
const prereqsMet = skill.prerequisites.every((prereqId) => masteryStates.get(prereqId) === true)
if (prereqsMet) {
return skill // First non-mastered skill with prerequisites met
}
}
// All skills mastered! Return the last skill
return skills[skills.length - 1]
}

View File

@@ -0,0 +1,191 @@
// Core mathematical techniques for mastery progression
// Techniques are actual skills (carrying, borrowing), not complexity levels
import type { DisplayRules } from './displayRules'
/**
* Technique IDs
* These represent actual mathematical procedures/algorithms to learn
*/
export type TechniqueId =
// Addition Techniques
| 'basic-addition' // No carrying required
| 'single-carry' // Carrying in one place value
| 'multi-carry' // Carrying across multiple place values
// Subtraction Techniques
| 'basic-subtraction' // No borrowing required
| 'single-borrow' // Borrowing from one place value
| 'multi-borrow' // Borrowing across multiple place values
/**
* A mathematical technique that can be learned and mastered
*/
export interface Technique {
id: TechniqueId
name: string
description: string
operator: 'addition' | 'subtraction'
// What OTHER techniques must be mastered first?
prerequisites: TechniqueId[]
// Recommended scaffolding for this technique (baseline)
// Complexity levels can adjust these
recommendedScaffolding: Partial<DisplayRules>
// Which techniques should be reviewed when practicing this one?
recommendedReview: TechniqueId[]
}
/**
* All techniques in the learning progression
*/
export const TECHNIQUES: Record<TechniqueId, Technique> = {
// ============================================================================
// ADDITION TECHNIQUES
// ============================================================================
'basic-addition': {
id: 'basic-addition',
name: 'Basic Addition',
description: 'Simple addition without carrying (no regrouping)',
operator: 'addition',
prerequisites: [],
recommendedScaffolding: {
carryBoxes: 'never', // No carrying, so no carry boxes needed
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never', // Ten-frames for regrouping visualization
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedReview: [],
},
'single-carry': {
id: 'single-carry',
name: 'Single-place Carrying',
description: 'Addition with carrying (regrouping) in one place value',
operator: 'addition',
prerequisites: ['basic-addition'],
recommendedScaffolding: {
carryBoxes: 'whenRegrouping', // Show carry boxes when carrying happens
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'whenRegrouping', // Help visualize making ten
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedReview: ['basic-addition'],
},
'multi-carry': {
id: 'multi-carry',
name: 'Multi-place Carrying',
description: 'Addition with carrying across multiple place values',
operator: 'addition',
prerequisites: ['single-carry'],
recommendedScaffolding: {
carryBoxes: 'whenRegrouping',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never', // Less scaffolding for advanced students
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never',
borrowingHints: 'never',
},
recommendedReview: ['single-carry', 'basic-addition'],
},
// ============================================================================
// SUBTRACTION TECHNIQUES
// ============================================================================
'basic-subtraction': {
id: 'basic-subtraction',
name: 'Basic Subtraction',
description: 'Simple subtraction without borrowing (no regrouping)',
operator: 'subtraction',
prerequisites: ['basic-addition'], // Addition first
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'never', // No borrowing, so no notation needed
borrowingHints: 'never',
},
recommendedReview: ['basic-addition'],
},
'single-borrow': {
id: 'single-borrow',
name: 'Single-place Borrowing',
description: 'Subtraction with borrowing (regrouping) from one place value',
operator: 'subtraction',
prerequisites: ['basic-subtraction', 'single-carry'], // Need to understand regrouping concept
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'whenRegrouping', // Help visualize breaking apart ten
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'whenRegrouping', // Show scratch work for borrowing
borrowingHints: 'never', // Start without hints, can add later
},
recommendedReview: ['basic-subtraction', 'single-carry'],
},
'multi-borrow': {
id: 'multi-borrow',
name: 'Multi-place Borrowing',
description: 'Subtraction with borrowing across multiple place values',
operator: 'subtraction',
prerequisites: ['single-borrow'],
recommendedScaffolding: {
carryBoxes: 'never',
answerBoxes: 'always',
placeValueColors: 'always',
tenFrames: 'never',
problemNumbers: 'always',
cellBorders: 'always',
borrowNotation: 'whenRegrouping',
borrowingHints: 'never',
},
recommendedReview: ['single-borrow', 'basic-subtraction'],
},
}
/**
* Get technique by ID
*/
export function getTechnique(id: TechniqueId): Technique {
return TECHNIQUES[id]
}
/**
* Get all techniques for an operator
*/
export function getTechniquesByOperator(operator: 'addition' | 'subtraction'): Technique[] {
return Object.values(TECHNIQUES).filter((t) => t.operator === operator)
}
/**
* Check if technique prerequisites are met
*/
export function arePrerequisitesMet(
techniqueId: TechniqueId,
masteredTechniques: Set<TechniqueId>
): boolean {
const technique = TECHNIQUES[techniqueId]
return technique.prerequisites.every((prereq) => masteredTechniques.has(prereq))
}

View File

@@ -7,6 +7,7 @@ import { css } from '../../../../../styled-system/css'
interface AttemptResult {
attemptId: string
status: 'pending' | 'processing' | 'completed' | 'failed'
errorMessage: string | null
totalProblems: number | null
correctCount: number | null
accuracy: number | null
@@ -217,8 +218,7 @@ export default function AttemptResultsPage({ params }: { params: { attemptId: st
Grading Failed
</h2>
<p className={css({ color: 'yellow.600', mb: 4 })}>
The image might be too blurry, not a math worksheet, or missing problems. Please try
uploading a different image.
{result.errorMessage || 'The image might be too blurry, not a math worksheet, or missing problems. Please try uploading a different image.'}
</p>
<Link
href="/"

View File

@@ -47,6 +47,9 @@ export const worksheetAttempts = sqliteTable(
/** When grading was completed */
gradedAt: integer('graded_at', { mode: 'timestamp' }),
/** Error message if grading failed */
errorMessage: text('error_message'),
/** Total number of problems detected/graded */
totalProblems: integer('total_problems'),

View File

@@ -172,9 +172,9 @@ async function callGPT5Vision(imageDataUrl: string, prompt: string): Promise<Gra
reasoning: {
effort: 'high', // Use deep thinking for analysis
},
verbosity: 'medium', // Balanced output
max_output_tokens: 4000, // Enough for 20 problems + analysis
text: {
verbosity: 'medium', // Balanced output
format: {
type: 'json_schema',
name: 'worksheet_grading',

View File

@@ -145,10 +145,17 @@ export async function processWorksheetAttempt(attemptId: string) {
} catch (error) {
console.error('Grading failed:', error)
// Mark as failed
// Extract error message
const errorMessage = error instanceof Error ? error.message : 'Unknown error during grading'
// Mark as failed with error message
await db
.update(worksheetAttempts)
.set({ gradingStatus: 'failed', updatedAt: new Date() })
.set({
gradingStatus: 'failed',
errorMessage,
updatedAt: new Date(),
})
.where(eq(worksheetAttempts.id, attemptId))
throw error

20562
pnpm-lock.yaml generated

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