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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/.

105 votes

Where to buy premium white chalk in the U.S., like they have at RIMS?

Faculty members teaching at GC will get ten sticks of chalk per semester, and those not teaching but who are coordinating (or co-coordinating) a math seminar at the GC and is a member of the Math Doctoral …
2 votes

Teaching suggestions for Kleene fixed point theorem

[Update. This answer is giving applications of the Kleene recursion theorem, the fixed point theorem stating that for any computable function $f$, there is a program $e$ such that $e$ and $f(e)$ compu …
Joel David Hamkins's user avatar
24 votes

Nearly all math classes are lecture+problem set based; this seems particularly true at the g...

It may be only a minor thing in the space of examples that you seem to be considering, but I have had a lot of success with my practice of requiring students in my graduate courses to write a substant …
6 votes

Mathematical games interesting to both you and a 5+-year-old child

I often play the game Doubled, Squared, Cubed! with my kids, as I did as I child myself years ago with my siblings. It can be played with kids of any age, and it is a great way to expose the kids to n …
11 votes

Languages beyond enumerable

In my answer to a question about degrees of irrationality, I had posted the following summary account of degrees of complexity, which in the end I believe ultimately reaches into the realm of the uppe …
Joel David Hamkins's user avatar
263 votes

What are the most misleading alternate definitions in taught mathematics?

Many topics in linear algebra suffer from the issue in the question. For example: In linear algebra, one often sees the determinant of a matrix defined by some ungodly formula, often even with specia …
62 votes
Accepted

Zorn's lemma: old friend or historical relic?

I agree with almost everything in your post. But still, I believe I know why people use Zorn's lemma. My answer. Zorn's lemma encapsulates succinctly many of the consequences of AC via transfinite rec …
Joel David Hamkins's user avatar