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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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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I don't think I could even tell you what a square root is.
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