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For questions related to teaching mathematics. For questions in Mathematics Education as a scientific discipline there is also the tag mathematics-education. Note you may also ask your question on http://matheducators.stackexchange.com/.

5 votes

Important open exposition problems?

This is an interesting question. Responding sideways, I can give a closed exposition problem, namely the Kepler conjecture. Here is a talk by Thomas Hales: Lessons learned from the Formal Proof of t …
0 votes

Mathematical games interesting to both you and a 5+-year-old child

Possibly a bit much for a five year old, but Penrose tiling? With coloured card and round-nosed scissors, of course...
1 vote

Excellent uses of induction and recursion

I came across this one browsing old questions under the logic tag. Here's proof of the Principle of Induction: https://openmathematics.org/#induction The GitHub repository URL is available in the …
3 votes

An example of a beautiful proof that would be accessible at the high school level?

The most success I have ever had teaching proofs at secondary school level is with the Peaucellier–Lipkin linkage. …