sigma

Tutor learners through Socratic questions with mastery-based gating and spaced repetition.

Updated Apr 15, 2026
One-click install
npx skills add https://github.com/ToanPV90/dotfiles --skill sigma-toanpv90
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: sigma
Source: https://github.com/ToanPV90/dotfiles/tree/main/agents/.agents/skills/sigma
Command: npx skills add https://github.com/ToanPV90/dotfiles --skill sigma-toanpv90

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

Sigma turns open-ended learning into a guided, mastery-based tutoring loop so you stop guessing and start reliably building durable understanding.

Core Features & Use Cases

  • Socratic 1-on-1 tutoring that guides you with questions instead of lectures, keeping you actively reasoning.
  • Bloom’s 2-Sigma mastery gating that advances only after you demonstrate about 80% understanding with calibrated rubric checks.
  • Misconception tracking + counter-examples that diagnose wrong mental models and rebuild them via contradictions.
  • Spaced repetition on resume so mastered concepts are re-tested at expanding intervals to prevent forgetting.
  • Adaptive pacing + practice phase that adjusts difficulty and requires hands-on tasks before marking concepts as mastered.

Typical use cases include: preparing for exams by mastering concepts step-by-step, learning technical topics with fewer “stuck” moments, and strengthening long-term retention through review and interleaving.

Quick Start

Use the sigma skill to tutor you on a topic by running: request sigma to teach "quantum mechanics" with a beginner starting level.

Frequently Asked Questions about sigma

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How does Socratic questioning help with mastery learning?

Socratic questioning aids mastery learning by guiding you with questions instead of direct answers, keeping you actively reasoning. This ensures you process concepts deeply rather than passively absorbing lectures.

What is the best way to use an AI tutor for spaced repetition?

Use an AI tutor for spaced repetition by resuming sessions in a topic-scoped workspace; the tutor re-tests mastered concepts at expanding intervals to prevent forgetting and automatically schedules reviews.

Can I learn any topic with adaptive pacing and an 80% mastery gate?

Yes, you can learn any topic with adaptive pacing and an 80% mastery gate. The tutor requires hands-on practice tasks before marking concepts as mastered and adjusts difficulty based on your demonstrated understanding.

How do AI tutors detect and fix misconceptions during study sessions?

AI tutors detect and fix misconceptions by tracking wrong mental models during practice and rebuilding them via counter-examples and contradictions. This diagnoses flawed logic and directly corrects your understanding.

Does mastery-based tutoring require previous knowledge of the subject?

Mastery-based tutoring does not require previous knowledge of the subject, as adaptive pacing adjusts difficulty to your starting level. You can request beginner tutoring for any topic and advance only after demonstrating 80% understanding.