But very few students of mathematics have an extensive experience of mathematical phenomena before we begin to teach technique & notations.
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Their obsessed students spend countless hours acquiring and honing these skills through repetitive practice -- without a murmur of complaint
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It's crucial that no one imposes this tedious drudgery on them, and nor tells them how to do it. They have agency and yearn for mastery.
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John Hunter is one of the very few classroom teachers to recognize the tremendous pedagogical power of artfully structured play.
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Especially social, collaborative play. The right rules tacitly reward productive moves without mandating them; players feel free to act.
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