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Results tagged with teaching
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user 29316
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
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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 …
- 2,437
33
votes
15
answers
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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. …
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Calculus Teaching: Is it possible or desirable to give a severely abbreviated treatment of s...
Is it possible? Of course, it is, as you have implied. Is it desirable? It much depends on your big picture of the course and the bigger picture of the previous and the next courses. Any way, here is …
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Looking for ideas concerning the teaching of lower-division differential equation courses...
I am not sure this answer would be helpful since the question is two years old. Anyway, since the question has popped up again, I am happy to introduce this lovely short book that hopefully will give …
3
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Advantages of the sequence definition of limits
"Are there any arguments which become significantly easier...". There is an obvious choice: Disprove that a certain function has a limit at a certain point. Showing that with epsilon-delta would be a …
37
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Is Euclid dead?
Opinion: There is a big difference between teaching geometry as a source of fascinating problems, and as a rigid body of axiomatic knowledge. Personally, I favor the former. Go to observation above! …
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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 …
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6
answers
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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. …
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Another chicken or egg: sequence or series
I have a rather radical idea. I start with Maclaurin Series! Let's see how it works. You first see graphically and "globally" that you get closer and closer to the function and when adding infinite te …
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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. …
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An example of a beautiful proof that would be accessible at the high school level?
Here is one that I like and used it for different purposes, e.g. introduction to proofs, algebraic thinking, beauty, and so one. Shuffle a deck of cards. Divide it into two halves. Magic: The number o …