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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/.

16 votes
1 answer
2k views

A conjecture in which both "if" and "only if" are near misses

[Migrated from Math Stack Exchange] More than a year ago, I posted the following on the Math Stack Exchange. Consider $2^n-1$. Based on checking a few small numbers for $n$ (in fact, the firs …
Amir Asghari's user avatar
  • 2,437
33 votes
15 answers
3k views

Historical (personal) examples of teaching-based research

The phrase "teaching-based research" brings to mind research about teaching, though important, it is not what I mean. … It seems that what makes it difficult in teaching is rooted in an all-knowing feeling. …
7 votes
2 answers
1k views

How should you respond to a student who asks whether a very nice physical example constitute... [closed]

"Is this really a proof?" is the exact question e-mailed to me today from an undergraduate mathematics student whom I know as a highly competent student. The one sentence question was accompanied with …
Amir Asghari's user avatar
  • 2,437
34 votes
6 answers
3k views

Does seeing beyond the course you teach matter? The case of linear algebra and matrices

I was faced with these questions years ago when people started to compare my teaching with the teaching of a mathematician who is indeed an excellent "traditional" lecturer. … I had forgotten the whole issue until the current term; for the first time I am teaching a course in linear algebra and matrices for mathematics undergraduate students. …
27 votes
3 answers
3k views

Is “problem solving” a subject to be taught?

Then it continues with "teaching" a bunch of problem solving strategies. That is the first chapter of the book. …