Mathematical Pedagogy

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

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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.

poly-gents/syncolab-skills/tree/main/skills/mathematical-pedagogy commit 0ee3981f70

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npx skillmds@latest add poly-gents/mathematical-pedagogy