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name: mathematical-pedagogy description: "Explain at multiple levels (intuition → semi-formal → formal), Polya-style problem solving, worked-example design."

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.