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we don’t even teach the mechanisms efficiently! that’s why a basic math education that could take two years takes twelve
Despite how horribly broken it is, I am pretty convinced if you strip out k-12 education and just replace it with two years of art of problem solving’s comp math curriculum— you probably end up with better outcomes on net.
drill basic arithmetic for grades 1-3 until it’s instinctual up to whole number division then throw them straight into proofs
my ideal math semester would be day 1 present some fundamentally interesting problem (eg brachistochrone or similar) and just spend the whole time on that
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