Teaching my 7 yo math has also shown me how many things they never taught me. It was all plug and chug.
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have you walked him through Feynman's derivation of trigonometry from counting? That was a hit with the best of my young students.
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it's in the Feynman lectures, volume 1, chapter 22. http://www.feynmanlectures.caltech.edu/I_22.html Starts with counting, derives sin^2 X + cos^2 X = 1
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it should be pretty fun for you, too.
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