Rote learning in mathematics is almost entirely focused on mastery of systems of symbolic representation -- on notations, rather than notions. Asking beginners in math to learn the manipulation of symbols first is like asking toddlers to learn to read before they learn to talk.
For what purposes is mathematical competence necessary? Vast numbers of persons seem to manage quite well without it. How about musical competence? How about artistic competence? Do you routinely feel a need for "color facts"? How about for "perspective facts"?
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Basic literacy and numeracy is necessary if we are to continue liberal democracy. People who can't do numbers cannot assess probabilities, like the chance of someone like Trump actually getting elected. They can't even balance a household budget, and tend to deny all science.
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Please read Liping Ma's KNOWING AND TEACHING ELEMENTARY MATHEMATICS. American teachers of mathematics typically lack the sort of numeracy you insist is necessary to all. Of course their students do as well. And yet the republic endures.
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