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For questions in Mathematics Education as a scientific discipline. For more hands-on questions on teaching Mathematics, please use the tag teaching. There is also a Stack Exchange community http://matheducators.stackexchange.com/

3 votes

Examples of common false beliefs in mathematics

A set is compact iff it is closed and bounded.
6 votes

What are your favorite instructional counterexamples?

My favorite counter-example is given in the short paper, "Almost Commuting Unitaries," by R. Exel and T. Loring. Here is a little background. Two $n \times n$ matrices $A$ and $B$ are said to be "alm …
1 vote

What are your favorite instructional counterexamples?

Another one of my favorite counter examples is $2\mathbb{Z}$ which is a RNG, or a ring without identity.
1 vote

Teaching prime number theorem in a complex analysis class for physicists

You can start by defining the Riemann Zeta function as $\zeta(s) = \sum_{n=1}^\infty \frac{1}{n^s}$ for $s$ real and then prove the Euler product formula, $\zeta(s) = \prod_{p} \frac{1}{1-p^{-s}}$ for …
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