Buraian
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An introductory example for Taylor series (12th grade)
12 votes

I feel it a bit strange that no one mentioned it, but a famous example is how Newton quickly estimated $\pi$ by the Taylor series. Here is a quick sketch: First note that the area of a quarter circle ...

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A smart student that struggles in exams
6 votes

When he solves some exercises beside me he does very well, so I was thinking why he failed the exam, and I couldn't find a reason. Also when I give him some homework he do some parts wrong, but when I ...

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An introductory example for Taylor series (12th grade)
3 votes

Here is one more example: A student if often taught to memorize the l'hopital rule : Hawken you see a $\frac{0}{0}$, you plug in the numbers for the limit then algorithmically like a computer you ...

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Is there a virtue to learning how to compute by hand?
3 votes

I think if we can introduce a variety of algorithm's for teaching addition and multiplication, it'd be beneficial for the student. No matter what mathematics level you are, algorithmic thinking is ...

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An introductory example for Taylor series (12th grade)
2 votes

Another Newton example: Physics is full of differential equations, and one may ask how Newton dealt with them when most of the tips and tricks we know in the modern days were not yet discovered. Well, ...

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