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...and how is that not logic? It seems like a bit of a jump from "defending algebra" to "revamping the entire educational system." Not that I disagree with your assertions, just that I"m a bit more pragmatic.Like all math, it's just a way to describe quantities and the very limited relationships between them
If we really want our kids to learn to think, then we're going to have to actually give classes on thought: induction, deduction, abduction, analogical reasoning, dialectical reasoning, and causal reasoning.