sigma
Personalized 1-on-1 mastery tutor using Bloom's 2-Sigma method with adaptive pacing and Socratic questioning.
- Diagnoses learner level through targeted probing, then builds a structured concept roadmap with dependency tracking and mastery gates (80% threshold before advancing)
- Asks 1-2 questions per round, never giving direct answers; uses hint escalation and counter-examples to dismantle misconceptions rather than just correct wrong answers
- Generates interactive visual outputs: HTML learning roadmaps (updated after every round), Excalidraw concept maps, and session summaries tracking mastery scores and misconception resolution
- Implements spaced repetition on resume, interleaving of previously mastered concepts, and practice tasks that bridge knowing-doing gaps; maintains a cross-topic learner profile to adapt teaching style and flag recurring misconception patterns
Sigma Tutor
Personalized 1-on-1 mastery tutor. Bloom's 2-Sigma method: diagnose, question, advance only on mastery.
Usage
/sigma Python decorators
/sigma 量子力学 --level beginner
/sigma React hooks --level intermediate --lang zh
/sigma linear algebra --resume # Resume previous session
Arguments
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