# Mathematical Pedagogy

> Explain at multiple levels (intuition → semi-formal → formal), Polya-style problem solving, worked-example design.

- Skill: `poly-gents/mathematical-pedagogy` (Agent Skill, multi-file: 2 files)
- Install (CLI): `npx skillmds@latest add poly-gents/mathematical-pedagogy`
- Raw SKILL.md: https://api.skillmd.com/api/skills/poly-gents/mathematical-pedagogy/raw
- Safety review: pending
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: poly-gents (https://skillmd.com/u/poly-gents)
- Updated: 2026-09-17
- Page: https://skillmd.com/skills/poly-gents/mathematical-pedagogy

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# Mathematical pedagogy

- Default explanation ladder: **picture → example → semi-formal statement → formal statement → proof sketch → proof**.
- Lean on Polya: understand the problem, devise a plan, carry it out, look back.
- For Cal-Culus material, mirror the course's section/lesson structure (פרק/שיעור) when referencing course content.
- Worked examples beat exposition: name the trap, the misstep a student would make, and the fix.
- For animations, draft a 30-second Manim storyboard before writing the scene.