New answers tagged undergraduate-education
5
votes
Math programs in Russia and post-Soviet states - how do they compare to US?
As for how a college math program in Russia compares to the US, I have no idea.
I can speak only about how it was at Saint-Petersburg State University back in late 80's, early 90's when I was first a ...
- 4,439
2
votes
Is it feasible to create an online platform to effectively teach college-level math (abstract algebra, real analysis, etc.)?
Self-grading
This assumes that your prospective learners are not being forced to do this and not receiving a grade or credit. In this case, you don't need to find a way to assign grades automatically, ...
- 121
5
votes
Is it feasible to create an online platform to effectively teach college-level math (abstract algebra, real analysis, etc.)?
Feedback on proofs can be provided by peers
A (partial) solution is to have the students provide proof feedback among themselves. This has the advantage that students also learn to give feedback and ...
- 151
13
votes
Is it feasible to create an online platform to effectively teach college-level math (abstract algebra, real analysis, etc.)?
The thing you are most likely to have trouble with is that teaching a new student to write proofs is equally about checking correctness of the proof as it is a careful introduction and invitation to ...
- 21.9k
21
votes
Is it feasible to create an online platform to effectively teach college-level math (abstract algebra, real analysis, etc.)?
Your first challenge doesn't seem like such a problem, to me. I have done online submission of homework for large-ish in-person courses, and it works quite well. We require submissions by PDF. Most ...
- 1,342
3
votes
Accepted
Balancing Rigour and Application When Teaching Generating Functions to Computer Science Students
Since you are in a CS department, I think you're better off convincing students by examples that the whole machinery works. Then just say things really can be made more rigorous with some technical ...
- 3,656
2
votes
Does answering any math questions you encounter help the quality of what you learn?
"Problem sets after a chapter from a book" are a must, if you want to really comprehend the Math in the book.
or a random P_s one from google will not help you. Concentrate on the problems ...
- 467
0
votes
How to explain that a negative number multiplied by a negative number is a positive number, and that $-(-x)=x$?
Let us assume here that $0$ is a natural number.
First, you define integer numbers as (formal) differences of natural numbers, where $b - a = d - c$ if and only if $a + d = b + c$, for natural $a$, $b$...
- 341
3
votes
Why don’t we teach a topological view of continuity instead of epsilon-delta?
I would not call your approach 'crazy', but will provide the following caveat:
the experience of myself and colleagues teaching "analysis I" to first-year mathematics and physics students (...
- 131
Top 50 recent answers are included