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The Dangers of Teaching Standard Algorithms
When I was in elementary school, we were taught the algorithm without any teaching around how it worked or why it worked because there is beautiful coherent logic that underlies the algorithms. So by far, when you, when L.L.S. fails, if you understood how that algorithm worked, then you could go back to that as somebody two or three years out from the initial instruction and you could get to a problem solution that works. And instead, what we have done is exactly what you said. We are moving away from sort of algorithm only instruction without any kind of explanation,. like the famous one to me is dividing with fractions.