# Questions tagged [education]

For questions related to the teaching and learning of mathematics. Note that Mathematics Educators Stack Exchange may be a better home for narrowly scoped questions on specific issues in mathematics education.

2,508 questions
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### What courses should I take in my Masters for PhD in mathematics - artificial intelligence? [closed]

I am currently enrolled in a masters programme in mathematics and I am taking mostly courses in mathematical statistics, but also dynamical systems and analysis. And I'm wondering if I want to go ...
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### What to teach in a 20 minutes class about affine functions to middle school students?

Tomorrow I have to teach about affine functions ($f(x)=ax+b$) during 20 minutes. I want to know if someone has a suggestion what things I should teach. I want to make this into something interesting, ...
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### Should we use “pythonic” indexing when teaching about permutations

When teaching abstract algebra for undergrads, I taught them that there is a permutation group $S(A)$ of automorphisms on any set $A$, and then defined the group $S_n$ to be the group of permutations ...
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### Graphical multiplication tables for $\mathbb{Z}/p\mathbb{Z}$ and $\mathbb{Z}$

Inspired by Burkard Polster's beautiful video on Times Tables, Mandelbrot and the Heart of Mathematics I wondered how this graphical approach to visualize the multiplicative structure of finite rings ...
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### Rotation with respect to the fixed/moving frame - Proof

I consulted many books to understand the proof of the formula corcerning the rotation with respect to the fixed/moving frame. Each author uses different notation and I am confusing. For example (slide ...
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### Utility Function - Calculating consumer surplus

Consider the utility function $U(X_1, X_2) = X_1X_2$. Assume that the consumer has budget $M=18$, that the prices are $p1 = p2 = 1$ to start, and that the price of good $1$ rises to $p1 = 2.25$. Find ...
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### Changing nature of mathematics from Bachelors to PhD [closed]

There is an obvious and explicit change in the nature of Mathematics education from Bachelors to Masters. In Bachelors, somehow, there are lots of books available to read and people enjoy working on ...
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### Elementary geometry using vectors

Generally vectors are taught to students much after they have studied the Euclidean geometry. Is there a book that teaches classical elementary geometry using vectors, making for example finding ...
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### What is the more primitive notion in the 'serious' study of math - exponentiation or multiplication?

As you get serious with math the first order of business is to learn some set theory and get $\mathbb N$ going with addition and multiplication. Then you will usually learn Euclidean division. Next ...
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### Examples of functions that are not Borel measurable that will be accessible to 1st year undergraduates

While teaching statistics, I've grown sick of using terms such as "under (very) weak regulatory conditions..." and would like to be able to provide some solid examples of when these conditions are not ...
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### Proving Sums or Products by Induction

I am currently teaching Extension 1 Mathematics and seem to be coming unstuck on a few induction questions. $$\sum_{k=1}^n\frac{1}{(2k-1)(2k+1)}=\frac{n}{2n+1}$$ First step is to prove the equation ...
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As anybody going through STEM-education, you'll be faced with reading material, possibly littered with mathematic formulas that you will not simply understand by merely reading it. What is your ...