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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That's a really strong and highly controversial position to take But, again, the people who are pretty clear on the fact that they found math class an excruciating process from which they retained nothing are not few in number Why not let them just skip it then
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I'm actually kind of serious, like when I was in high school the LA Times ran a story called "Should Math Become an Elective?"
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I mean, i've mentioned before that i was taught using an experimental math pedagogy called CSMP, developed at SIU by math educators working in conjunction with working mathematicians, and i'm on record as saying it should be the standard K-8 math curriculum.
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Unfortunately the current copyright holders don't support it anymore, but the entire thing is available online at http://stern.buffalostate.edu/CSMPProgram/index1.html …
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