What they should learn is how to do proofs. When I look at the board each time and watch my teacher write all the proofs, I have no idea what he’s doing and how he came up with the math rigor, and all I know is how it works and not why it works.

So I think most student are missing the point in not learning how to do proof, and it should be taught earlier in the kid’s life.

]]>A lot of math intangibles can be absorbed very early on by children if they are fortunate enough to be surrounded by people who are mathematical and talk about it (not even necessarily specifically to them).

On the other hand, anything done in the classroom is a lot dicier. I recommend this article:

https://www.psychologytoday.com/blog/freedom-learn/201003/when-less-is-more-the-case-teaching-less-math-in-schools

It pretty much matches my own experience: I learned a lot of math from my parents, but I hated the few times we sat down and did math in a school-like setting.

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