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DanArmak comments on How to Teach Students to Not Guess the Teacher’s Password? - Less Wrong Discussion
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The great majority of students aren't capable of re-deriving calculus, even with guidance, let alone in the third grade. There's a difference between letting the capable ones do it, and asking a whole class to do it.
I wasn't graphing quadratic equations in third grade. Actually, I never did third grade. In fourth grade I was doing fractions, and that only because they let me take math classes with the fifth and sixth graders.
It's not important that they succeed. It -is- important that they try.