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Again - correct but misguided in the general sense. > It is the same reason the word for 'dog' in English is taught as being spelled D-O-G. There is no why behind it. I agree with you completely, but I think you're guilty of speaking the wrong language in response to the question (and it would behoove you to consider it from the perspective of someone outside the field). The question "Why" in maths almost always gets…
You are correct, but this explanation is cultural and sociological, not logical. We must motivate math, absolutely. And to do so in my opinion starts with socratic questioning. You must convince the student that such an inquiry is even worthwhile. One thing I'll point out is that we're not just seeing this in math. We see it in every field. More and more kids every year are insisting ( and their teachers are agreeing…
The whole discussion is from the perspective of the cultural and sociological.
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As an aside, I generally agree with you about american schooling. I think it's less a concerted effort, and more a sad reality of the fact that modern schools have essentially become federally funded child care in the US.