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Professor Po-Shen Loh talked about mathematical reasoning and learning process that anyone can be found in math.

bigthink.com

**Being a math person does not means to recite the formulas between the sines, cosines, tangents and to use logarithms and exponentials interchangeably**. That's not necessarily what to think everyone should try to concentrate to understand. The main things to concentrate to **...**

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Sines, cosines,and logarithms do have actual value. What they are is that they are ways to show how these basic building blocks of reasoning can be used to deduce surprising things or difficult things. In some sense they're like the historical coverages of the triumphs of mathematics, so one cann...

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When you have long chains there are very few starting points—very few things need to memorize. In mathematics, you have very few that you memorize and the rest you deduce as you go through, and this chain of deductions is actually what's critical.

The difference between math and other subj...

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The education often works where it's almost like riding a train from a beginning to an end, well it's such that if you have a hole somewhere in your track the train is not going to pass that hole.

The way to help to address this is to provide a way for everyone to learn at their own pace an...

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