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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/.
7
votes
What should be taught in a 1st course on Riemann Surfaces?
These answers seem to have almost nothing on Riemann surfaces. I guess I am just too old-fashioned. In a first course on Riemann surfaces, I would like the student to get an understanding of the Rie …
- 41.1k
10
votes
Not especially famous, long-open problems which anyone can understand
Some pages:
Open Problem Garden
The Open Problems Project edited by Erik D. Demaine, Joseph S. B. Mitchell, Joseph O’Rourke
53
votes
Accepted
Blackboard rendering of math fonts
I often give this to Freshmen. Learning the right way to start with is easier than trying to change later.
- 41.1k
7
votes
Accepted
Good examples of random variables whose image is not a measurable set?
An analytic set that is not a Borel set...see this post* from long ago.
Such an analytic set is a continuous image of $[0,1] \setminus \mathbb Q$, and thus a Borel image of $[0,1]$.
*From: e...@m …
- 41.1k
7
votes
Simple definition of the Hausdorff measure using squared paper
As Charles said, this would be the box-counting dimension (a.k.a. Bouligand dimension or Minkowski dimension). Not the Hausdorff dimension. And for the measure it would usually not converge so that …
- 41.1k
20
votes
Interesting applications (in pure mathematics) of first-year calculus
The interesting application in Spivak's Calculus is the proof of the irrationality of pi.
I guess this is the proof due to Niven.
25
votes
What are the most misleading alternate definitions in taught mathematics?
A function is a collection of ordered pairs such that ...