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Results tagged with Search options user 1654

For questions about teaching students at the undergraduate (university) level.

7
votes
2answers
Recently I asked the following identity on Math.StackExchange knowing it had several proofs: $$ \binom{n}{k}^2 \geq \binom{n}{k-1}\binom{n}{k+1} $$ See here. They quickly give the one-liner: In …
asked Jun 16 '14 by john mangual
5
votes
0answers
Knowing that pedagogy for each age group is different, I will say right off the bat I am talking about working adults. I am noticing more and more, that despite people's phobias about math, they are …
asked Nov 20 '15 by john mangual
2
votes
0answers
What is the name for a situation where the obvious thing turns out to be true, but the reasoning is more complicated? In abstract algebra we can say the rational numbers - the fractions, $\mathbb{Q …
asked Sep 25 '18 by john mangual
12
votes
Graphic novels are an underappreciated means of pedagogy. Please look at: Galois' Dream by Michio Kuga It teaches: Group Theory Differential Equations To first-year undergraduates from a course …
answered Jul 19 '14 by john mangual
3
votes
1answer
There is a set of lecture notes I would like to work through the exercises very carefully. Instead of having thousands of scrap pages lying around my desk - I considered typing them up on and posting …
asked Apr 16 '15 by john mangual
7
votes
0answers
I happen to be a fan of the "theme and variations" approach to problem solving. In certain cases, a certain question had drawn enough to attention to generate dozens of solutions. Ways to Prove the …
asked Jul 16 '15 by john mangual