third thing: math (talking about "higher" math here, i.e. [all the intuitive ideas lying behind] college and graduate level math / physics / CS) is heavily loaded on "conceptual flexibility / original seeing / generating de-novo models", which stereotypically kids are better at
not talking about the often-bad kind of generalization, where you drop important aspects of some phenomenon and then call it "more general" because your thoughts depend on less detail. talking about the good kind.
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the good kind is where you explain all the data better / unify all the skills more elegantly. real math is about doing that iteratively, each time re-including your new understanding into the pool of data to be explained / understood.
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maybe at the most basic it's just: learn to stick with looking at something that you have no idea how to go about understanding, until your brain invents new understandamathings. difficult but trainable skill, better feedback in math.
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