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Results tagged with mathematics-education
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user 6094
For questions in Mathematics Education as a scientific discipline. For more hands-on questions on teaching Mathematics, please use the tag teaching. There is also a Stack Exchange community http://matheducators.stackexchange.com/
10
votes
What kid-friendly math riddles are too often spoiled for mathematicians?
The shortest path of a fly walking on the interior surface of a cubic room:
Image credit
- 151k
10
votes
Great graduate courses that went online recently
Discrete Differential Geometry
Keenan Crane, Carnegie Mellon University, Spring 2021.
]
- 151k
0
votes
One-step problems in geometry
(1) Prove: Every simple polygon may be triangulated
(partitioned into triangles) via diagonals,
vertex-to-vertex segments
that are strictly interior (except at their endpoints).
[This is a precursor t …
- 151k
23
votes
How to explain to an engineer what algebraic geometry is?
This is along the lines suggested by @DonuArapura: "describe a problem [...] that is reasonably concrete and accessible, and go from there."
Here is a problem an engineer would appreciate: Which bent …
- 151k
22
votes
Interesting and accessible topics in graph theory
I have found that the Art Gallery Problem engages middle- and high-school students, and quickly leads to the unknown, which itself can be eye-opening to students. (On the latter point, students tend t …
- 4,713
5
votes
Accepted
Lecture on Fractals for Middle School Students
Your task is both a challenge and an opportunity: they will be unfamiliar with complex numbers, but perhaps you could motivate the utility of complex numbers.
I might try to introduce them to the comp …
- 2,821
40
votes
Short papers for undergraduate course on reading scholarly math
I think this is a delightful paper:
Hull, Thomas C. "Solving cubics with creases: The work of Beloch and Lill." The American Mathematical Monthly 118, no. 4 (2011): 307-315.
(PDF download.)
It …
- 151k
9
votes
"Mathematics talk" for five year olds
See "Picture-Hanging Puzzles" by Erik Demaine et al. (arXiv link):
- 151k
35
votes
Taking "Zooming in on a point of a graph" seriously
An animation of your first example, $y=x(x−1)(x+1)$.
I limited the number of frames so that the file would not be too huge (it is ~1MB now).
Frame rate is browser and processor dependent. At best thi …
- 151k
13
votes
Anything special (historical?) about surface $x\cdot y\cdot z\ +\ x+y+z=0$?
Just wanted to see what it looks like...
Now added origin and axes $\pm 1$ in each coordinate.
- 151k
1
vote
How can I combine my interests for pure mathematics and computer science in college?
As HA Helfgott suggests, at many schools, it is quite feasible to simply double-major in math and in computer science.
NYU, as you mention, offers a joint major in math and computer science, includin …
- 151k
18
votes
Is there a database for tracking the dependencies of mathematical theorems?
Not an answer, just
a diagram from the Stacks Project, mentioned by Paul Siegel,
illustrating dependencies of "the results needed to prove Chow’s Lemma" (the Noetherian case):
(Im …
- 151k
20
votes
How do you mentor undergraduate research?
"...should the student work on open problems...?"
I think that working on open problems is fine—even exciting—if you follow Pólya's
advice in
How to Solve It:
"If you can't solve a problem, the …
- 151k
3
votes
Numerical equality testing
There is a thread of work that derives from W.-T. Wu's work on geometry
theorem proving, and this seminal paper by Schwartz,
Schwartz, Jacob T. "Fast probabilistic algorithms for verification of p …
- 151k
13
votes
Review papers in mathematics
Two excellent sources:
The AMS series, What's Happening in the Mathematical Sciences (AMS link). Now eight volumes. Barry Cipra, a frequent contributor to MO, has authored many of the articles. The
…
- 151k