Last night overheard the boys talking in bed. The 8 yo was teaching the 5 yo how to multiply by 5 (divide by 2 then multiply by 10).
An interesting minor tidbit for you: several of the most powerful mental calculators known to history were illiterate.
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Surely it is a significant indictment of the enterprise of math education that many of the most adept calculators were entirely self-taught.
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mental calculation skills are not ends in themselves. It's just shorthand to feel out other stuff quickly.
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