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lm · 2674 days ago · link · · parent · post: An Axiomatic Approach to Algebra and Other Aspects of Life
I think it's a mixture of things: - Teachers weren't taught the material this way, so they don't know to teach it like that. - There aren't a lot of textbooks that rigorously follow this approach (or at least I haven't seen them), so you'd have to write your own curriculum. - It definitely takes more work, and students won't like it if they're used to math being about the answer. I had a physics professor who used the same philosophy, and I enjoyed that class--analyzing a physics problem was all about understanding how the different laws related to each other.