Questions tagged [graduate-education]

For questions related to studies for graduate or more-advanced students and courses.

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17
votes
2answers
688 views

Flipping (or not) a large graduate class

I teach a graduate class in algorithms. Students take this class primarily as a breadth requirement in grad school, and they are a mix of MS and Ph.D students in computer science. Most students taking ...
22
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2answers
1k views

Teaching and “The Two Cultures”

This is a rather broad (and perhaps too philosophical) question about undergraduate and graduate mathematics education. Gowers, in his article "the two cultures of mathematics", observes differences ...
12
votes
4answers
6k views

Mathematics Education Graduate Program List and Rankings

U.S. News and World Report publishes school rankings for many different disciplines, including mathematics. Is there any ranking for mathematics education graduate programs? Weaker question: Is there ...
13
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8answers
2k views

What is gratifying in being a mathematics teacher?

I think the title says it all, but in case it does not: Is being a math teacher gratifying? If yes, what is gratifying in being a math teacher? (If not, why...) Does the feeling lasts, or perhaps ...
14
votes
2answers
485 views

Is there any research on the correlation between a professor's research ability and their ability to teach graduate level courses?

In most universities that I am aware of, graduate courses in Mathematics are taught almost exclusively by research mathematicians. My question has two parts: What is the justification for this ...
13
votes
3answers
746 views

How to design a fair oral exam for >10 students?

Oral exams take place at two different points in during their study: As final examination to end their study (i.e., when the students have finished all necessary courses, they have an oral exam ...
12
votes
3answers
396 views

Should one ask questions directly to specific students in a lecture or exercise group?

In the question Encouraging class participation there are some answers how to encourage class participation in general. Sometimes, there are some smaller lectures (in particular in graduate courses) ...
11
votes
3answers
210 views

Introducing (Borel) measures via Riesz representation theorem

I think, the most standard way is to introduce measures in real analysis is to define them via the usual properties like $\sigma$-additivity, etc. However, if the students are familiar with ...
13
votes
3answers
267 views

Using Several Textbooks in a Course

Sometimes a teacher prefers to use several textbooks in his/her courses because he/she thinks the arguments of each book is better in a part of course material or there is no comprehensive textbook in ...
10
votes
2answers
203 views

When to encourage students to read mathematical literature written in English (in non-English speaking countries)?

There is a lot of mathematical literature in some non-English languages (French, German, Spanish, etc.) that students from these countries don't need to read English literature (at least) for their ...
32
votes
3answers
3k views

What happened to the Moore method?

I always read about the Moore method with great enthusiasm. Somehow I always felt that it should be how we do it in an ideal world, but it is impossible to use because of time and other constrains. ...
5
votes
2answers
135 views

How can one deal with classes split up (in terms of previous knowledge)?

Imagine a class which is split completey regarding previous knowledge which is in some way needed for the class. How can you deal with such a class? How can you - without giving too much workload to ...
5
votes
2answers
58 views

How to schedule a seminar (weekly based vs. one big meeting) to maximize learning?

You want to host a seminar where students will present either a chapter from a book, or a (part of a) scientific article. What is the best way (=such that the students learn as much as possible from ...
4
votes
0answers
134 views

How fast must one teach category theory? [closed]

For a postgraduate class on category theory, how fast must one teach category theory? What is the pace one must take? Also, what must one assume that the students know? Thanks!
20
votes
3answers
2k views

What are the differences between graduate and undergraduate classes, relevant to course design and teaching?

I will be a postdoc in the fall and will be teaching my very first classes aimed at graduate students. One will be an intro class, and the other a topics class. There are of course many differences ...
20
votes
2answers
250 views

Pressure vs. Laissez-faire: Literature dealing with balance in university-classes

I am seeking for some pedagogical literature dealing with the following question: Imaging you have an average class in college/university: What is a good balance between Laissez-faire and pressure? ...
15
votes
2answers
189 views

How to choose/test future tutors?

When I have to give a big lecture with a lot of exercise groups, I have to choose the tutors who are grading the student's homework and explaining the lecture to the students. How can I find out if ...
11
votes
1answer
227 views

How to design exercise groups in very advanced course?

In very advanced courses, typically there are only a few students attending and sometimes they are not willing to put so much efford into the course to participate or to pass an exam. So I made the ...
24
votes
4answers
2k views

What are some good examples to motivate the implicit function theorem?

I always had problems when teaching the implicite function theorem in advanced analysis courses. This result is motivated by later applications, but it would be great to be able to provide easily ...

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