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IMO, good math ed is balanced: - Enrichment, visual, and speedy stuff to build intuition - Proofy stuff to build rigor and reasoning ability - Rote stuff to
by mlyle 4y ago
IMO, good math ed is balanced:
- Enrichment, visual, and speedy stuff to build intuition
- Proofy stuff to build rigor and reasoning ability
- Rote stuff to build arithmetic and symbolic manipulation skills
Ideally, it would be balanced this way from kindergarten to mid-undergrad. In practice, most students rotate through these.
- noobermin 4y agoYeah, people who say the rote stuff isn't part of math don't get it, or they have a simplistic view of math that isn't as bad as the ones who don't know of the proofy side of math and think it is only rote and bland calculation. It's all of it and you need the rote stuff to build intuition too in addition to the things like visual "proofs" and graphs. You do not build intuition about things without having some amount of those things in your head which is memorization.