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For questions related to teaching mathematics. For questions in Mathematics Education as a scientific discipline there is also the tag mathematics-education. Note you may also ask your question on http://matheducators.stackexchange.com/.

40 votes

Why do we need random variables?

An honest answer should start with the fact that probabilists usually care more about the distributions of random variables than the underlying probability spaces. Terry Tao has a blog post in which h …
Michael Greinecker's user avatar
22 votes

Why linear algebra is fun!(or ?)

Google's page rank algorithm makes use of many concepts and ideas from linear algebra.
7 votes

Interesting Calculus Questions/Exercises

These are rather demanding, yet elementary calculus exercises: A function $f:\mathbb{R}\to\mathbb{R}$ such that $|f(x)|\leq x^2$ for all $x$ is differentiable at $0$. There are no differentiable fun …
5 votes

An example of a beautiful proof that would be accessible at the high school level?

There is a very elegant proof that there exists no continuous injection from the plane into the real line. The proof can basically be given by drawing a picture on the blackboard. Suppose there is s …