What are you especially sensitive to, the way the princess was sensitive to the pea?
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There's another important loss when kids become procedural worksheet-fillers and discrete task-doers: they never develop intuitions for what sometimes works, what might have worked, what deceptively *seems* to work — and consequently, they never really build out a model
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For example, a "good" student might well be able to solve a sheet of square root equations *and* give a perfectly reasonable description of what a square root is **without** being able to tell you why such a thing is called a SQUARE root.
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