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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And it's like okay Well why do that then If a creaky, mechanical interpretation of Für Elise is the best they can do why make them do it at all What the fuck is the point of having 10,000 kids play a horrible butchered version of the same great piece of music every year
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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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