That is too often true, but rote is needed. Students who understand how multiplication works then need to memorize the tables. Students first should understand the fundamental theorem of calculus, but then must practice finding integrals. Both understanding and rote are critical.
Illiterate mental calculators like Jacques Inaudi pose serious problems for any theory of arithmetic learning that insists it must be rooted in rote practice imposed by schools.
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I don't claim that it's impossible to be a mathematician without rote learning, but I do claim, based on my experience and that of others I know who went to schools that didn't force us to memorize the basics, that many students won't manage to be successful without it.
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One need not be forced to memorize the basics. One can desire to learn them.
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"...insists it must be rooted in rote practice imposed by schools" That doesn't at all describe my claims. I think you're misunderstanding my claims.
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Are you maintaining that rote practice need not be externally imposed? This seems at least doubtful. Would Jacques Inaudi, who plainly considered his own self-directed practice of arithmetic an entertaining diversion, describe it as rote? Do you know anyone who enjoys rote?
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