Add comprehensive skill metrics to the scoreboard that allow comparing
students across a classroom with "fun ways to compare across ability levels":
Skills Progress Section (individual view):
- Overall mastery % (weighted by BKT confidence)
- Category breakdown (basic, fiveComplements, tenComplements, etc.)
- Speed metric (normalized seconds per term) with trend arrows
- Accuracy with trend indicators
- Weekly/streak/total problem counts
Classroom Achievements Section (fair comparisons):
- Practice Warriors: most problems this week
- Streak Masters: longest practice streak
- Rising Stars: highest improvement rate (pKnown delta/week)
- Speed Champions: fastest per category (only mastered students compete)
Also includes:
- Remote camera session validation to prevent stale sessions
- Comprehensive Storybook stories for all skill metrics components
New files:
- src/lib/curriculum/skill-metrics.ts (core computation)
- src/app/api/curriculum/[playerId]/skills/metrics/route.ts
- src/app/api/classroom/[classroomId]/skills/leaderboard/route.ts
- src/hooks/useSkillMetrics.ts (React Query hooks)
Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>
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