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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/.
6
votes
Not especially famous, long-open problems which anyone can understand
I like the Montesinos-Nakanishi 3-move conjecture from knot theory. A 3-move on a link is the replacement of two parallel strands by three half twists. The conjecture is that any link can be turned in …
4
votes
Are there any "related rates" calculus problems that don't feel contrived?
The following example is contrived, but I created it with the same frustration at the boring and repetitive nature of most related rates problems. Since I found this MO question by doing a google sear …
7
votes
Using slides in math classroom
Full disclosure: I stole the following idea from my wife.
For some courses, like calculus, I will create slides with beamer, leaving blank spots to fill in during class. I then print the slides out …
55
votes
How misleading is it to regard $\frac{dy}{dx}$ as a fraction?
I am fine with using the notion of cancellation of fractions to help students remember the chain rule, but it is dangerous to be too cavalier with this idea. For example, suppose $F(x,y)=0$ defines $y …
8
votes
Textbook recommendations for undergraduate proof-writing class
I have used Velleman's How to Prove It with success.