All Questions
Tagged with self-learning undergraduate-education
26
questions
3
votes
3
answers
275
views
Relearning math after long COVID using AoPS or developmental math textbooks?
This is a little bit of a niche topic.
I've dealt with a pretty bad dose of long COVID that has caused some serious gaps in my mathematics (basically causing terrible arithmetic skills and a really ...
- 369
3
votes
2
answers
302
views
How to understand the book and the material to the deepest possible level?
I'm a first year mathematics major and I have a problem with my learning process. In my university, I only have books and questions that the university published, so I have to learn the most of the ...
4
votes
2
answers
225
views
How do you study subjects you're not that interested in
I'm an undergraduate who doesn't find analysis particularly interesting, but I'm taking a calculus on manifolds course next semester, so I'm reviewing measure and integration theory since my grasp on ...
- 141
2
votes
1
answer
235
views
An intuitive (non rigorous) text book on graph theory which is student friendly with vivid illustrations
Background
Hello, I am an undergraduate in CS. I would like to study Graph Theory on my own (self-study) for a competitive examination (named GATE). It is an examination for undergraduates and as such,...
- 223
9
votes
2
answers
633
views
Fear of notation and hazily-appeared writing in Mathematics
I am looking for literature related to fear of notation in mathematics.
It is even heard that the font size and font type make a reader reluctant to study mathematical literature, often lecture notes,...
6
votes
4
answers
3k
views
What will my academic path look like after testing out of high school math classes?
I am currently a 15-year-old in the 9th grade, and I am studying to test out all of my high school math classes, which is something I didn't realize I could do in the 8th grade and would have if I had....
- 415
6
votes
2
answers
991
views
Textbooks for an independent study in point-set topology
I am planning to sign up for an undergraduate "course" in point-set topology next semester. It is really an "independent study" in that this course will not have any lectures. It will just have two ...
- 203
12
votes
5
answers
1k
views
About the effectiveness of self-studying maths (compared with other subjects)
An important feature of mathematics is that it is relatively easy (compare to many other subjects) to know whether or not one's understanding is correct. There are plenty of ways to check: one can ...
- 1,673
5
votes
4
answers
1k
views
What math courses should I take in order to become a secondary math educator?
Seeing as this is the math educator site, perhaps someone can help me out:
I am looking to become a math teacher, but I am having a hard time figuring out which math courses I need to be taking. ...
- 694
6
votes
2
answers
289
views
Redesigning college math courses and curriculum to be self-paced
I imagine there must exist a fair amount of literature and discussion about the idea of somehow redesigning college math courses, and the entire college math curriculum, to be self-paced.
Question: ...
0
votes
1
answer
443
views
When self teaching, should I learn set theory before continuing ap calculus?
I am studying ap calculus now, before I move onto differential equations etc., but the thing I am unsure of is, should I learn set theory before continuing on my ap calculus sections?
- 51
3
votes
2
answers
621
views
Why are proofs written in flowery language incomprehensible?
Let's take an example in Wu-Ki Tung, Group theory in physics:
Theorem 3.4: Irreducible representations of any abelian group must be of dimension one.
Proof: Let $U(G)$ be an irreducible ...
- 183
6
votes
0
answers
191
views
Learning math historically
What is meant by learning math historically (NOT learning math history only, but learning math with a historical development perspective)? I've seen some sources that to learn a math topic X, you need ...
- 349
8
votes
2
answers
414
views
"Personalized System of Instruction" (PSI) vs. "Individually Prescribed Instruction" (IPI)
This question may be a bit overly-broad for MESE, but I am hoping to find some responses that can help to fill in my understanding of two similar forms of instruction that had their heyday in the ...
- 17.4k
15
votes
2
answers
1k
views
Why are hand waving arguments made in textbooks of undergraduate analysis and how should readers deal with them?
Having read several undergraduate textbooks in complex analysis (Stein-Shakarchi, Gamelin, etc.), I find that some "hand-waving" arguments are frequently used. An example (the proof of the ...
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