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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"The kids are right, most of them are just going to become English majors and rely on a calculator"
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It's a lot like bad piano lessons Like a lot of bad music teachers actually don't really teach you to love music or understand it on any real level They just kind of torture you through playing Für Elise badly and by rote until you get through it with "no mistakes"
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