I think this article - "A Mathematician's Lament" by Paul Lockhart - is something everyone should read Not exactly an answer to your questions and not exactly aimed at math beginners, unfortunately, but it's a really engaging rant about this topic https://www.maa.org/sites/default/files/pdf/devlin/LockhartsLament.pdf …https://twitter.com/graciegcunning/status/1298804338727489536 …
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They could go do something they like doing instead Watch a movie, play baseball, go out on dates It would have the same beneficial impact on their future career and earning prospects as the torturous dreary piano lessons (zero)
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The argument is that this kind of thing is the only way to *discover* great musicians, to *build* a talent and love for music that wasn't there, that maybe 9,999 of those kids are wasting their time but one of them will come to really love music and do something great
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