Have you read read Mindstorms by Seymour Papert? He had some excellent insight into the teaching of math vs. "school math".
When we start teaching it, "math" means using your mind as a computer, which isn't fun. But as you go further, it looks more like humanities
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Surveying the ideas of those that came before, and using them to build up your own ideas, one step at a time.
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My Prof once called math the only true example of humanities, since it's the only science that can completely be derived by the human mind.
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Common attitude of K-12 teachers: if you like it, then you’ll persevere and get to the good stuff. Seems like a bad pedagogical premise.
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Teaching rules without the conceptual foundation that gives them meaning leads many to see math as merely a collection of unmotivated tools.
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Foundations can be boring to learn; the 'aha' moments come when you connect what you've learned before to prove what you're learning now.
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This is also true for computer programming.
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I think this can be extended as a generalization: learning anything new can be boring/tedious, but later on, it becomes interesting.
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Advanced math is more like learning grammar than learning humanities
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