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Results tagged with teaching
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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/.
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 …
- 237k
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 …
- 237k
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 …
- 237k
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 …
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 …
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 …