why do you think the earlier the better?
maybe "learning" math is not the right name for what i have in mind; being taught math would probably be worse than Civ/AOE/etc played "seriously for fun" (like, serious AOE people actually do math and experiments and theory to get good build orders, tactics, etc).
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"teaching" real math probably looks somewhat like being a good meditation teacher, at least relative to how math is usually taught; you're more trying to get the student to be "turing complete" ASAP, rather than imparting some specific info / understanding, though info also good
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but anyway. why math? because what i'm calling "real math" is about seeing all the way into the core of the structure of things. playing AOE really well... it has way more virtue of empiricism than tasteless math.
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