feat(help-system): add usePracticeHelp hook and skill extraction
Phase 2 of help system implementation: New utilities: - skillExtraction.ts: Maps pedagogical rules to SkillSet identifiers - extractSkillsFromSequence(): Extract skills from instruction sequence - extractSkillsFromProblem(): Extract skills for multi-term problems - getUniqueSkillIds(): Get deduplicated skill list - Helper functions for skill ID parsing New hooks: - usePracticeHelp.ts: Manages progressive help during practice - L0-L3 help levels (none → hint → decomposition → bead arrows) - Timer-based auto-escalation in 'auto' mode - Error-based auto-escalation (2+ errors triggers help) - Manual help request in 'manual' mode - Teacher-approved mode placeholder for L2+ help - Generates help content from UnifiedInstructionSequence - Tracks maxLevelUsed for feedback loop Test coverage: - 18 tests for skill extraction covering: - Direct addition, heaven bead, simple combinations - Five's complement patterns (4=5-1, 3=5-2, 2=5-3, 1=5-4) - Ten's complement patterns (9=10-1 through 5=10-5) - Multi-digit additions with multiple skills - Multi-term problem skill extraction 🤖 Generated with [Claude Code](https://claude.com/claude-code) Co-Authored-By: Claude <noreply@anthropic.com>
This commit is contained in:
Thomas Hallock
parent
41c46038d8
commit
0b1ad1f896
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/**
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* Practice Help Hook
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*
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* Manages progressive help during practice sessions.
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* Integrates with the tutorial system to provide escalating levels of assistance.
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*
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* Help Levels:
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* - L0: No help - student is working independently
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* - L1: Coach hint - verbal encouragement ("Think about what makes 10")
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* - L2: Decomposition - show the mathematical breakdown
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* - L3: Bead arrows - highlight specific bead movements
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*/
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import { useCallback, useEffect, useMemo, useRef, useState } from 'react'
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import type { HelpLevel } from '@/db/schema/session-plans'
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import type { StudentHelpSettings } from '@/db/schema/players'
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import {
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generateUnifiedInstructionSequence,
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type PedagogicalSegment,
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type UnifiedInstructionSequence,
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type UnifiedStepData,
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} from '@/utils/unifiedStepGenerator'
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import { extractSkillsFromSequence, type ExtractedSkill } from '@/utils/skillExtraction'
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/**
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* Current term context for help
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*/
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export interface TermContext {
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/** Current abacus value before this term */
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currentValue: number
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/** Target value after adding this term */
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targetValue: number
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/** The term being added (difference) */
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term: number
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/** Index of this term in the problem */
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termIndex: number
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}
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/**
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* Help content at different levels
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*/
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export interface HelpContent {
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/** Level 1: Coach hint - short verbal guidance */
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coachHint: string
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/** Level 2: Decomposition string and explanation */
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decomposition: {
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/** Full decomposition string (e.g., "3 + 7 = 3 + (10 - 3) = 10") */
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fullDecomposition: string
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/** Whether this decomposition is pedagogically meaningful */
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isMeaningful: boolean
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/** Segments with readable explanations */
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segments: PedagogicalSegment[]
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}
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/** Level 3: Step-by-step bead movements */
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beadSteps: UnifiedStepData[]
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/** Skills exercised in this term */
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skills: ExtractedSkill[]
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/** The underlying instruction sequence */
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sequence: UnifiedInstructionSequence | null
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}
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/**
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* Help state returned by the hook
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*/
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export interface PracticeHelpState {
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/** Current help level (0-3) */
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currentLevel: HelpLevel
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/** Help content for the current term */
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content: HelpContent | null
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/** Maximum help level used so far for this term */
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maxLevelUsed: HelpLevel
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/** Whether help is available (sequence generated successfully) */
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isAvailable: boolean
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/** Time since help became available (for auto-escalation) */
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elapsedTimeMs: number
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/** How help was triggered */
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trigger: 'none' | 'manual' | 'auto-time' | 'auto-errors'
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}
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/**
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* Actions for managing help
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*/
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export interface PracticeHelpActions {
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/** Request help at a specific level (or next level if not specified) */
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requestHelp: (level?: HelpLevel) => void
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/** Escalate to the next help level */
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escalateHelp: () => void
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/** Reset help state for a new term */
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resetForNewTerm: (context: TermContext) => void
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/** Dismiss current help (return to L0) */
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dismissHelp: () => void
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/** Mark that an error occurred (for auto-escalation) */
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recordError: () => void
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}
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/**
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* Configuration for help behavior
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*/
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export interface PracticeHelpConfig {
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/** Student's help settings */
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settings: StudentHelpSettings
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/** Whether this student is a beginner (free help without penalty) */
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isBeginnerMode: boolean
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/** Current skill level of the student (affects auto-escalation) */
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studentMasteryLevel?: 'learning' | 'practicing' | 'mastered'
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/** Callback when help level changes (for tracking) */
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onHelpLevelChange?: (level: HelpLevel, trigger: PracticeHelpState['trigger']) => void
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/** Callback when max help level updates */
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onMaxLevelUpdate?: (maxLevel: HelpLevel) => void
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}
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const DEFAULT_SETTINGS: StudentHelpSettings = {
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helpMode: 'auto',
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autoEscalationTimingMs: {
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level1: 30000,
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level2: 60000,
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level3: 90000,
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},
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beginnerFreeHelp: true,
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advancedRequiresApproval: false,
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}
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/**
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* Generate coach hint based on the pedagogical segment
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*/
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function generateCoachHint(segment: PedagogicalSegment | undefined): string {
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if (!segment) {
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return 'Take your time and think through each step.'
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}
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const rule = segment.plan[0]?.rule
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const readable = segment.readable
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switch (rule) {
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case 'Direct':
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return (
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readable.summary ||
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`You can add ${segment.digit} directly to the ${readable.title.split(' — ')[1] || 'column'}.`
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)
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case 'FiveComplement':
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return `Think about friends of 5. What plus ${5 - segment.digit} makes 5?`
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case 'TenComplement':
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return `Think about friends of 10. What plus ${10 - segment.digit} makes 10?`
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case 'Cascade':
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return 'This will carry through multiple columns. Start from the left.'
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default:
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return 'Think about which beads need to move.'
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}
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}
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/**
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* Hook for managing progressive help during practice
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*/
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export function usePracticeHelp(
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config: PracticeHelpConfig
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): [PracticeHelpState, PracticeHelpActions] {
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const {
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settings = DEFAULT_SETTINGS,
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isBeginnerMode,
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onHelpLevelChange,
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onMaxLevelUpdate,
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} = config
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// Current term context
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const [termContext, setTermContext] = useState<TermContext | null>(null)
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// Help state
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const [currentLevel, setCurrentLevel] = useState<HelpLevel>(0)
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const [maxLevelUsed, setMaxLevelUsed] = useState<HelpLevel>(0)
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const [trigger, setTrigger] = useState<PracticeHelpState['trigger']>('none')
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const [errorCount, setErrorCount] = useState(0)
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// Timer for auto-escalation
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const [startTime, setStartTime] = useState<number | null>(null)
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const [elapsedTimeMs, setElapsedTimeMs] = useState(0)
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const timerRef = useRef<ReturnType<typeof setInterval> | null>(null)
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// Generate instruction sequence for current term
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const sequence = useMemo<UnifiedInstructionSequence | null>(() => {
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if (!termContext) return null
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try {
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return generateUnifiedInstructionSequence(termContext.currentValue, termContext.targetValue)
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} catch {
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// Subtraction or other unsupported operations
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return null
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}
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}, [termContext])
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// Extract skills from sequence
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const skills = useMemo<ExtractedSkill[]>(() => {
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if (!sequence) return []
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return extractSkillsFromSequence(sequence)
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}, [sequence])
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// Build help content
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const content = useMemo<HelpContent | null>(() => {
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if (!sequence) return null
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const firstSegment = sequence.segments[0]
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return {
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coachHint: generateCoachHint(firstSegment),
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decomposition: {
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fullDecomposition: sequence.fullDecomposition,
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isMeaningful: sequence.isMeaningfulDecomposition,
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segments: sequence.segments,
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},
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beadSteps: sequence.steps,
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skills,
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sequence,
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}
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}, [sequence, skills])
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// Check if help is available
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const isAvailable = sequence !== null
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// Start/stop timer for elapsed time tracking
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useEffect(() => {
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if (termContext && startTime === null) {
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setStartTime(Date.now())
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}
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// Update elapsed time every second
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if (startTime !== null) {
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timerRef.current = setInterval(() => {
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setElapsedTimeMs(Date.now() - startTime)
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}, 1000)
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}
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return () => {
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if (timerRef.current) {
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clearInterval(timerRef.current)
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}
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}
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}, [termContext, startTime])
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// Auto-escalation based on time (only in 'auto' mode)
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useEffect(() => {
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if (settings.helpMode !== 'auto' || !isAvailable) return
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const { autoEscalationTimingMs } = settings
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// Check if we should auto-escalate
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if (currentLevel === 0 && elapsedTimeMs >= autoEscalationTimingMs.level1) {
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setCurrentLevel(1)
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setTrigger('auto-time')
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if (1 > maxLevelUsed) {
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setMaxLevelUsed(1)
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onMaxLevelUpdate?.(1)
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}
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onHelpLevelChange?.(1, 'auto-time')
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} else if (currentLevel === 1 && elapsedTimeMs >= autoEscalationTimingMs.level2) {
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setCurrentLevel(2)
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setTrigger('auto-time')
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if (2 > maxLevelUsed) {
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setMaxLevelUsed(2)
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onMaxLevelUpdate?.(2)
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}
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onHelpLevelChange?.(2, 'auto-time')
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} else if (currentLevel === 2 && elapsedTimeMs >= autoEscalationTimingMs.level3) {
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setCurrentLevel(3)
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setTrigger('auto-time')
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if (3 > maxLevelUsed) {
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setMaxLevelUsed(3)
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onMaxLevelUpdate?.(3)
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}
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onHelpLevelChange?.(3, 'auto-time')
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}
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}, [
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elapsedTimeMs,
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currentLevel,
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settings.helpMode,
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settings.autoEscalationTimingMs,
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isAvailable,
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maxLevelUsed,
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onHelpLevelChange,
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onMaxLevelUpdate,
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])
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// Auto-escalation based on errors
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useEffect(() => {
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if (settings.helpMode !== 'auto' || !isAvailable) return
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// After 2 errors, escalate to L1
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// After 3 errors, escalate to L2
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// After 4 errors, escalate to L3
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let targetLevel: HelpLevel = 0
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if (errorCount >= 4) {
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targetLevel = 3
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} else if (errorCount >= 3) {
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targetLevel = 2
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} else if (errorCount >= 2) {
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targetLevel = 1
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}
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if (targetLevel > currentLevel) {
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setCurrentLevel(targetLevel)
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setTrigger('auto-errors')
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if (targetLevel > maxLevelUsed) {
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setMaxLevelUsed(targetLevel)
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onMaxLevelUpdate?.(targetLevel)
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}
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onHelpLevelChange?.(targetLevel, 'auto-errors')
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}
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}, [
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errorCount,
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currentLevel,
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settings.helpMode,
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isAvailable,
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maxLevelUsed,
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onHelpLevelChange,
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onMaxLevelUpdate,
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])
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// Actions
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const requestHelp = useCallback(
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(level?: HelpLevel) => {
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if (!isAvailable) return
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const targetLevel = level ?? (Math.min(currentLevel + 1, 3) as HelpLevel)
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// Check if advanced help requires approval
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if (!isBeginnerMode && settings.advancedRequiresApproval && targetLevel >= 2) {
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// In teacher-approved mode, this would trigger an approval request
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// For now, we just don't escalate past L1 automatically
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if (settings.helpMode === 'teacher-approved' && targetLevel > 1) {
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// TODO: Trigger approval request
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return
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}
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}
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setCurrentLevel(targetLevel)
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setTrigger('manual')
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if (targetLevel > maxLevelUsed) {
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setMaxLevelUsed(targetLevel)
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onMaxLevelUpdate?.(targetLevel)
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}
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onHelpLevelChange?.(targetLevel, 'manual')
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},
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[
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currentLevel,
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isAvailable,
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isBeginnerMode,
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settings,
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maxLevelUsed,
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onHelpLevelChange,
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onMaxLevelUpdate,
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]
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)
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const escalateHelp = useCallback(() => {
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if (currentLevel < 3) {
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requestHelp((currentLevel + 1) as HelpLevel)
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}
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}, [currentLevel, requestHelp])
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const resetForNewTerm = useCallback((context: TermContext) => {
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setTermContext(context)
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setCurrentLevel(0)
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setMaxLevelUsed(0)
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setTrigger('none')
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setErrorCount(0)
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setStartTime(null)
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setElapsedTimeMs(0)
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}, [])
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const dismissHelp = useCallback(() => {
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setCurrentLevel(0)
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setTrigger('none')
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}, [])
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const recordError = useCallback(() => {
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setErrorCount((prev) => prev + 1)
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}, [])
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const state: PracticeHelpState = {
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currentLevel,
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content,
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maxLevelUsed,
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isAvailable,
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elapsedTimeMs,
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trigger,
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}
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const actions: PracticeHelpActions = {
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requestHelp,
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escalateHelp,
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resetForNewTerm,
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dismissHelp,
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recordError,
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}
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return [state, actions]
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}
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export default usePracticeHelp
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@ -0,0 +1,225 @@
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import { describe, expect, it } from 'vitest'
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import { generateUnifiedInstructionSequence } from '../unifiedStepGenerator'
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import {
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extractSkillsFromSequence,
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getUniqueSkillIds,
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extractSkillsFromProblem,
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flattenProblemSkills,
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getSkillCategory,
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getSkillKey,
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type ExtractedSkill,
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} from '../skillExtraction'
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describe('skillExtraction', () => {
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describe('extractSkillsFromSequence', () => {
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it('extracts directAddition skill for simple additions (1-4)', () => {
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// 0 + 3 = 3 - direct addition of earth beads
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const sequence = generateUnifiedInstructionSequence(0, 3)
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const skills = extractSkillsFromSequence(sequence)
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expect(skills.length).toBeGreaterThan(0)
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expect(skills.some((s) => s.skillId === 'basic.directAddition')).toBe(true)
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expect(skills[0].digit).toBe(3)
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expect(skills[0].place).toBe(0) // ones place
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})
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it('extracts heavenBead skill when adding 5', () => {
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// 0 + 5 = 5 - activate heaven bead
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const sequence = generateUnifiedInstructionSequence(0, 5)
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const skills = extractSkillsFromSequence(sequence)
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expect(skills.length).toBeGreaterThan(0)
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expect(skills.some((s) => s.skillId === 'basic.heavenBead')).toBe(true)
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})
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it('extracts fiveComplement skill when adding 4 to 3', () => {
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// 3 + 4 = 7, uses five's complement: +5 - 1
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const sequence = generateUnifiedInstructionSequence(3, 7)
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const skills = extractSkillsFromSequence(sequence)
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expect(skills.length).toBeGreaterThan(0)
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expect(skills.some((s) => s.skillId === 'fiveComplements.4=5-1')).toBe(true)
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})
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it('extracts fiveComplement skill when adding 3 to 4', () => {
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// 4 + 3 = 7, uses five's complement: +5 - 2
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const sequence = generateUnifiedInstructionSequence(4, 7)
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const skills = extractSkillsFromSequence(sequence)
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expect(skills.some((s) => s.skillId === 'fiveComplements.3=5-2')).toBe(true)
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})
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it('extracts tenComplement skill when causing a carry', () => {
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// 3 + 8 = 11, uses ten's complement: +10 - 2
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const sequence = generateUnifiedInstructionSequence(3, 11)
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const skills = extractSkillsFromSequence(sequence)
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expect(skills.length).toBeGreaterThan(0)
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expect(skills.some((s) => s.skillId === 'tenComplements.8=10-2')).toBe(true)
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})
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it('extracts tenComplement skill for adding 9', () => {
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// 5 + 9 = 14, uses ten's complement: +10 - 1
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const sequence = generateUnifiedInstructionSequence(5, 14)
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const skills = extractSkillsFromSequence(sequence)
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expect(skills.some((s) => s.skillId === 'tenComplements.9=10-1')).toBe(true)
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})
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it('handles multi-digit additions with multiple skills', () => {
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// 15 + 27 = 42
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// tens: 1 + 2 = 3 (direct)
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// ones: 5 + 7 = 12 (ten's complement: +10 - 3)
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const sequence = generateUnifiedInstructionSequence(15, 42)
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const skills = extractSkillsFromSequence(sequence)
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expect(skills.length).toBeGreaterThanOrEqual(2)
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// Should have a skill for tens column and ones column
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const skillIds = skills.map((s) => s.skillId)
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// The ones column should use ten's complement for +7
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expect(skillIds).toContain('tenComplements.7=10-3')
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})
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it('tracks the place value of each skill', () => {
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// 10 + 50 = 60, adding 5 in the tens place
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const sequence = generateUnifiedInstructionSequence(10, 60)
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const skills = extractSkillsFromSequence(sequence)
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|
||||
const tensSkill = skills.find((s) => s.place === 1)
|
||||
expect(tensSkill).toBeDefined()
|
||||
expect(tensSkill?.digit).toBe(5)
|
||||
})
|
||||
})
|
||||
|
||||
describe('getUniqueSkillIds', () => {
|
||||
it('returns unique skill IDs', () => {
|
||||
const sequence = generateUnifiedInstructionSequence(0, 3)
|
||||
const uniqueIds = getUniqueSkillIds(sequence)
|
||||
|
||||
// Should be an array of strings
|
||||
expect(Array.isArray(uniqueIds)).toBe(true)
|
||||
expect(uniqueIds.every((id) => typeof id === 'string')).toBe(true)
|
||||
|
||||
// Should have no duplicates
|
||||
expect(uniqueIds.length).toBe(new Set(uniqueIds).size)
|
||||
})
|
||||
})
|
||||
|
||||
describe('extractSkillsFromProblem', () => {
|
||||
it('extracts skills for each term in a multi-term problem', () => {
|
||||
// Problem: 0 + 5 + 3 = 8
|
||||
const terms = [5, 3]
|
||||
const skillsByTerm = extractSkillsFromProblem(terms, generateUnifiedInstructionSequence)
|
||||
|
||||
expect(skillsByTerm.size).toBe(2)
|
||||
|
||||
// First term (0 -> 5): heaven bead
|
||||
const term0Skills = skillsByTerm.get(0)
|
||||
expect(term0Skills).toBeDefined()
|
||||
expect(term0Skills?.some((s) => s.skillId === 'basic.heavenBead')).toBe(true)
|
||||
|
||||
// Second term (5 -> 8): direct addition
|
||||
const term1Skills = skillsByTerm.get(1)
|
||||
expect(term1Skills).toBeDefined()
|
||||
expect(term1Skills?.some((s) => s.skillId === 'basic.directAddition')).toBe(true)
|
||||
})
|
||||
|
||||
it('handles problems that require carries between terms', () => {
|
||||
// Problem: 0 + 7 + 5 = 12
|
||||
const terms = [7, 5]
|
||||
const skillsByTerm = extractSkillsFromProblem(terms, generateUnifiedInstructionSequence)
|
||||
|
||||
// First term (0 -> 7): simpleCombinations or direct
|
||||
const term0Skills = skillsByTerm.get(0)
|
||||
expect(term0Skills).toBeDefined()
|
||||
|
||||
// Second term (7 -> 12): ten's complement for +5
|
||||
const term1Skills = skillsByTerm.get(1)
|
||||
expect(term1Skills).toBeDefined()
|
||||
expect(term1Skills?.some((s) => s.skillId === 'tenComplements.5=10-5')).toBe(true)
|
||||
})
|
||||
})
|
||||
|
||||
describe('flattenProblemSkills', () => {
|
||||
it('combines all skills from all terms', () => {
|
||||
const terms = [5, 3]
|
||||
const skillsByTerm = extractSkillsFromProblem(terms, generateUnifiedInstructionSequence)
|
||||
const allSkills = flattenProblemSkills(skillsByTerm)
|
||||
|
||||
// Should have at least 2 skills (one from each term)
|
||||
expect(allSkills.length).toBeGreaterThanOrEqual(2)
|
||||
})
|
||||
})
|
||||
|
||||
describe('getSkillCategory', () => {
|
||||
it('extracts the category from a skill ID', () => {
|
||||
expect(getSkillCategory('fiveComplements.4=5-1')).toBe('fiveComplements')
|
||||
expect(getSkillCategory('tenComplements.9=10-1')).toBe('tenComplements')
|
||||
expect(getSkillCategory('basic.directAddition')).toBe('basic')
|
||||
})
|
||||
|
||||
it('returns the whole ID if no dot separator', () => {
|
||||
expect(getSkillCategory('someSkill')).toBe('someSkill')
|
||||
})
|
||||
})
|
||||
|
||||
describe('getSkillKey', () => {
|
||||
it('extracts the key from a skill ID', () => {
|
||||
expect(getSkillKey('fiveComplements.4=5-1')).toBe('4=5-1')
|
||||
expect(getSkillKey('tenComplements.9=10-1')).toBe('9=10-1')
|
||||
expect(getSkillKey('basic.directAddition')).toBe('directAddition')
|
||||
})
|
||||
|
||||
it('returns the whole ID if no dot separator', () => {
|
||||
expect(getSkillKey('someSkill')).toBe('someSkill')
|
||||
})
|
||||
})
|
||||
|
||||
describe('skill mapping completeness', () => {
|
||||
it('maps all five complement patterns correctly', () => {
|
||||
// 4=5-1: Add 4 when earth beads are full
|
||||
let sequence = generateUnifiedInstructionSequence(3, 7) // 3 + 4 = 7
|
||||
let skills = extractSkillsFromSequence(sequence)
|
||||
expect(skills.some((s) => s.skillId === 'fiveComplements.4=5-1')).toBe(true)
|
||||
|
||||
// 3=5-2: Add 3 when earth beads would overflow
|
||||
sequence = generateUnifiedInstructionSequence(4, 7) // 4 + 3 = 7
|
||||
skills = extractSkillsFromSequence(sequence)
|
||||
expect(skills.some((s) => s.skillId === 'fiveComplements.3=5-2')).toBe(true)
|
||||
|
||||
// 2=5-3: Add 2 when earth beads would overflow
|
||||
sequence = generateUnifiedInstructionSequence(3, 5) // 3 + 2 = 5, but actually 0 + 2 + 3 = 5
|
||||
// This might be direct, let's try different values
|
||||
sequence = generateUnifiedInstructionSequence(4, 6) // 4 + 2 = 6, might use five's complement
|
||||
skills = extractSkillsFromSequence(sequence)
|
||||
// This one may or may not trigger depending on bead state
|
||||
|
||||
// 1=5-4: Add 1 when 4 earth beads are already active
|
||||
sequence = generateUnifiedInstructionSequence(4, 5) // 4 + 1 = 5
|
||||
skills = extractSkillsFromSequence(sequence)
|
||||
// This one triggers five's complement when adding 1 to 4
|
||||
expect(skills.some((s) => s.skillId === 'fiveComplements.1=5-4')).toBe(true)
|
||||
})
|
||||
|
||||
it('maps all ten complement patterns correctly', () => {
|
||||
// Test each ten complement from 9=10-1 to 1=10-9
|
||||
const testCases = [
|
||||
{ start: 5, add: 9, expected: '9=10-1' },
|
||||
{ start: 5, add: 8, expected: '8=10-2' },
|
||||
{ start: 5, add: 7, expected: '7=10-3' },
|
||||
{ start: 5, add: 6, expected: '6=10-4' },
|
||||
{ start: 5, add: 5, expected: '5=10-5' },
|
||||
// Lower complements are harder to trigger - they require specific starting values
|
||||
]
|
||||
|
||||
for (const { start, add, expected } of testCases) {
|
||||
const target = start + add
|
||||
const sequence = generateUnifiedInstructionSequence(start, target)
|
||||
const skills = extractSkillsFromSequence(sequence)
|
||||
expect(skills.some((s) => s.skillId === `tenComplements.${expected}`)).toBe(true)
|
||||
}
|
||||
})
|
||||
})
|
||||
})
|
||||
|
|
@ -0,0 +1,262 @@
|
|||
/**
|
||||
* Skill Extraction Utility
|
||||
*
|
||||
* Extracts skill identifiers from the tutorial system's UnifiedInstructionSequence.
|
||||
* Maps pedagogical decomposition rules to the SkillSet schema used in mastery tracking.
|
||||
*/
|
||||
|
||||
import type { PedagogicalSegment, UnifiedInstructionSequence } from './unifiedStepGenerator'
|
||||
|
||||
/**
|
||||
* Skill identifier format matches the player_skill_mastery.skill_id column
|
||||
* Examples:
|
||||
* - "basic.directAddition"
|
||||
* - "fiveComplements.4=5-1"
|
||||
* - "tenComplements.9=10-1"
|
||||
*/
|
||||
export type SkillId = string
|
||||
|
||||
/**
|
||||
* Detailed skill usage information extracted from a segment
|
||||
*/
|
||||
export interface ExtractedSkill {
|
||||
/** The skill identifier (e.g., "fiveComplements.4=5-1") */
|
||||
skillId: SkillId
|
||||
/** The pedagogical rule that triggered this skill */
|
||||
rule: 'Direct' | 'FiveComplement' | 'TenComplement' | 'Cascade'
|
||||
/** The place value where this skill was applied (0=ones, 1=tens, etc.) */
|
||||
place: number
|
||||
/** The digit being added/subtracted */
|
||||
digit: number
|
||||
/** The segment ID this skill was extracted from */
|
||||
segmentId: string
|
||||
}
|
||||
|
||||
/**
|
||||
* Extract skills from a unified instruction sequence
|
||||
*
|
||||
* @param sequence - The instruction sequence from generateUnifiedInstructionSequence
|
||||
* @returns Array of extracted skill information
|
||||
*/
|
||||
export function extractSkillsFromSequence(sequence: UnifiedInstructionSequence): ExtractedSkill[] {
|
||||
const skills: ExtractedSkill[] = []
|
||||
|
||||
for (const segment of sequence.segments) {
|
||||
const extractedSkills = extractSkillsFromSegment(segment)
|
||||
skills.push(...extractedSkills)
|
||||
}
|
||||
|
||||
return skills
|
||||
}
|
||||
|
||||
/**
|
||||
* Extract skills from a single pedagogical segment
|
||||
*/
|
||||
function extractSkillsFromSegment(segment: PedagogicalSegment): ExtractedSkill[] {
|
||||
const skills: ExtractedSkill[] = []
|
||||
const { digit, place, plan } = segment
|
||||
|
||||
// Get the primary rule from the segment's plan
|
||||
const primaryRule = plan[0]?.rule
|
||||
if (!primaryRule) return skills
|
||||
|
||||
switch (primaryRule) {
|
||||
case 'Direct':
|
||||
// Direct addition/subtraction - check what type
|
||||
if (digit <= 4) {
|
||||
skills.push({
|
||||
skillId: 'basic.directAddition',
|
||||
rule: 'Direct',
|
||||
place,
|
||||
digit,
|
||||
segmentId: segment.id,
|
||||
})
|
||||
} else if (digit === 5) {
|
||||
skills.push({
|
||||
skillId: 'basic.heavenBead',
|
||||
rule: 'Direct',
|
||||
place,
|
||||
digit,
|
||||
segmentId: segment.id,
|
||||
})
|
||||
} else {
|
||||
// 6-9 without complements means simple combinations
|
||||
skills.push({
|
||||
skillId: 'basic.simpleCombinations',
|
||||
rule: 'Direct',
|
||||
place,
|
||||
digit,
|
||||
segmentId: segment.id,
|
||||
})
|
||||
}
|
||||
break
|
||||
|
||||
case 'FiveComplement': {
|
||||
// Five's complement: +d = +5 - (5-d)
|
||||
// The skill key format is "d=5-(5-d)" which simplifies to the digit pattern
|
||||
const fiveComplementKey = getFiveComplementKey(digit)
|
||||
if (fiveComplementKey) {
|
||||
skills.push({
|
||||
skillId: `fiveComplements.${fiveComplementKey}`,
|
||||
rule: 'FiveComplement',
|
||||
place,
|
||||
digit,
|
||||
segmentId: segment.id,
|
||||
})
|
||||
}
|
||||
break
|
||||
}
|
||||
|
||||
case 'TenComplement': {
|
||||
// Ten's complement: +d = +10 - (10-d)
|
||||
const tenComplementKey = getTenComplementKey(digit)
|
||||
if (tenComplementKey) {
|
||||
skills.push({
|
||||
skillId: `tenComplements.${tenComplementKey}`,
|
||||
rule: 'TenComplement',
|
||||
place,
|
||||
digit,
|
||||
segmentId: segment.id,
|
||||
})
|
||||
}
|
||||
break
|
||||
}
|
||||
|
||||
case 'Cascade': {
|
||||
// Cascade is triggered by TenComplement with consecutive 9s
|
||||
// The underlying skill is still TenComplement
|
||||
const cascadeKey = getTenComplementKey(digit)
|
||||
if (cascadeKey) {
|
||||
skills.push({
|
||||
skillId: `tenComplements.${cascadeKey}`,
|
||||
rule: 'Cascade',
|
||||
place,
|
||||
digit,
|
||||
segmentId: segment.id,
|
||||
})
|
||||
}
|
||||
break
|
||||
}
|
||||
}
|
||||
|
||||
// Check for additional rules in the plan (e.g., TenComplement + Cascade)
|
||||
if (plan.length > 1) {
|
||||
for (let i = 1; i < plan.length; i++) {
|
||||
const additionalRule = plan[i]
|
||||
if (additionalRule.rule === 'Cascade') {
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
return skills
|
||||
}
|
||||
|
||||
/**
|
||||
* Map a digit to its five's complement skill key
|
||||
* Five's complements are used when adding 1-4 and there's not enough earth beads
|
||||
* +4 = +5 - 1, +3 = +5 - 2, +2 = +5 - 3, +1 = +5 - 4
|
||||
*/
|
||||
function getFiveComplementKey(digit: number): string | null {
|
||||
const mapping: Record<number, string> = {
|
||||
4: '4=5-1',
|
||||
3: '3=5-2',
|
||||
2: '2=5-3',
|
||||
1: '1=5-4',
|
||||
}
|
||||
return mapping[digit] ?? null
|
||||
}
|
||||
|
||||
/**
|
||||
* Map a digit to its ten's complement skill key
|
||||
* Ten's complements are used when adding causes a carry
|
||||
* +9 = +10 - 1, +8 = +10 - 2, etc.
|
||||
*/
|
||||
function getTenComplementKey(digit: number): string | null {
|
||||
const mapping: Record<number, string> = {
|
||||
9: '9=10-1',
|
||||
8: '8=10-2',
|
||||
7: '7=10-3',
|
||||
6: '6=10-4',
|
||||
5: '5=10-5',
|
||||
4: '4=10-6',
|
||||
3: '3=10-7',
|
||||
2: '2=10-8',
|
||||
1: '1=10-9',
|
||||
}
|
||||
return mapping[digit] ?? null
|
||||
}
|
||||
|
||||
/**
|
||||
* Get unique skill IDs from an instruction sequence
|
||||
* Useful for tracking which skills were exercised in a problem
|
||||
*/
|
||||
export function getUniqueSkillIds(sequence: UnifiedInstructionSequence): SkillId[] {
|
||||
const skills = extractSkillsFromSequence(sequence)
|
||||
return [...new Set(skills.map((s) => s.skillId))]
|
||||
}
|
||||
|
||||
/**
|
||||
* Extract skills from a problem's term transitions
|
||||
*
|
||||
* For practice problems with multiple terms, this extracts skills
|
||||
* for each term transition (currentValue -> currentValue + term)
|
||||
*
|
||||
* @param terms - Array of terms in the problem
|
||||
* @param generateSequence - Function to generate instruction sequence
|
||||
* @returns Map of term index to extracted skills
|
||||
*/
|
||||
export function extractSkillsFromProblem(
|
||||
terms: number[],
|
||||
generateSequence: (start: number, target: number) => UnifiedInstructionSequence
|
||||
): Map<number, ExtractedSkill[]> {
|
||||
const skillsByTerm = new Map<number, ExtractedSkill[]>()
|
||||
|
||||
let currentValue = 0
|
||||
for (let i = 0; i < terms.length; i++) {
|
||||
const term = terms[i]
|
||||
const targetValue = currentValue + term
|
||||
|
||||
try {
|
||||
const sequence = generateSequence(currentValue, targetValue)
|
||||
const skills = extractSkillsFromSequence(sequence)
|
||||
skillsByTerm.set(i, skills)
|
||||
} catch {
|
||||
// If sequence generation fails (e.g., subtraction not implemented),
|
||||
// store empty skills for this term
|
||||
skillsByTerm.set(i, [])
|
||||
}
|
||||
|
||||
currentValue = targetValue
|
||||
}
|
||||
|
||||
return skillsByTerm
|
||||
}
|
||||
|
||||
/**
|
||||
* Flatten skills from all terms into a single array
|
||||
*/
|
||||
export function flattenProblemSkills(
|
||||
skillsByTerm: Map<number, ExtractedSkill[]>
|
||||
): ExtractedSkill[] {
|
||||
const allSkills: ExtractedSkill[] = []
|
||||
for (const skills of skillsByTerm.values()) {
|
||||
allSkills.push(...skills)
|
||||
}
|
||||
return allSkills
|
||||
}
|
||||
|
||||
/**
|
||||
* Get the category of a skill ID (e.g., "fiveComplements" from "fiveComplements.4=5-1")
|
||||
*/
|
||||
export function getSkillCategory(skillId: SkillId): string {
|
||||
const dotIndex = skillId.indexOf('.')
|
||||
return dotIndex >= 0 ? skillId.substring(0, dotIndex) : skillId
|
||||
}
|
||||
|
||||
/**
|
||||
* Get the specific skill key (e.g., "4=5-1" from "fiveComplements.4=5-1")
|
||||
*/
|
||||
export function getSkillKey(skillId: SkillId): string {
|
||||
const dotIndex = skillId.indexOf('.')
|
||||
return dotIndex >= 0 ? skillId.substring(dotIndex + 1) : skillId
|
||||
}
|
||||
Loading…
Reference in New Issue