Mathematics and Mental Illness

By Vishal Lama

It shall be my endeavor as one of the editors of this blog to discuss topics that may perhaps be tangential to mathematics proper but, nevertheless, very important to anyone learning mathematics. Since students of mathematics – I think it would be quite safe to include professors, researchers and professional mathematicians in that category – are social beings that are members of a dynamic community of really smart people engaged in some pretty serious and intense intellectual activity, it goes without saying that such members are subject to the usual vicissitudes of the mind that the average person encounters but perhaps in even greater measure and to a wider degree.

Continue reading

Posted in Advice, General, Math | Tagged , , | Comments Off on Mathematics and Mental Illness

Is a High-ranked School Always the Best Choice?

By Kareem Carr

For those who are not quite in graduate school yet or for those who are thinking about a switch, there is an interesting question being discussed on the mathematics stack exchange:

I’m a senior undergrad at a top-ish(say, top 15) math school. I’m a solid, not stellar, student. This year I’m taking the qualifying exam grad courses in algebra and analysis and have been taken aback by the “pressure cooker” atmosphere among grad students here. That is, even moreso than in the undergraduate program.

If I’m self driven, could going to a “less prestigious” school afford me more space(I mean in a psychological sense) to produce a more solid contribution to math? By “less prestigious”, I mean a school “ranked” significantly lower than the range of schools that I could comfortably get into. For me, “less prestigious” would be ranked around 40-60 on, say, USNews or NRC.

My reasoning is that at such a school, I would be more able to learn the fundamentals at my own pace, as opposed to a pace dictated to me by the program. I know I want to do math, and I think my learning style may be better suited to going at my own pace. Thoughts?

The mathematics stack exchange is an interesting variant which is similar to but certainly not equivalent to the math overflow site. (I think this question would quickly get closed on the math overflow site.)

There is lively commentary going on there; or please feel free to discuss the question here.

Posted in Advice | Tagged , | Comments Off on Is a High-ranked School Always the Best Choice?

Midterm Overload: Strategies for Staying Focused

By Kareem Carr

Midterm season is upon us, and one of the main challenges students face is staying focused for the long hours needed to complete assignments, take-home exams and studying. Some distractions, like Hallowe’en or Friday night, are large enough that you make a conscious choice to procrastinate or stay focused on work. But what about the rest of the time? If you’re like me, there are a million and one things that are vying for your attention at any given moment – dishes to do, blogs to read, friends to chat with, the list goes on. With these little distractions, you may think to yourself that they’ll only take a few minutes and you’ll start working or studying soon. But then, minutes turn to hours and next thing you know it’s one in the morning and you’ve barely gotten started.

Continue reading

Posted in Advice | Tagged | Comments Off on Midterm Overload: Strategies for Staying Focused

Optimizing your teaching

By Diana Davis

As a mathematician by nature and by trade, I like to approach the world in terms of trying to optimize things: minimizing the time I spend walking to the math department in order to maximize the amount of time I spend being productive, for instance. As I’ve been teaching for the first time this semester, I’ve thought more about what I’m trying to maximize, and how my goals will affect what I do in the classroom.

Continue reading

Posted in Teaching | Comments Off on Optimizing your teaching

Beyond Rigor

By Kareem Carr

At first, I saw mountains as mountains and rivers as rivers. Then, I saw mountains were not mountains and rivers were not rivers. Finally, I see mountains again as mountains, and rivers again as rivers.

source

Posted in Advice | Tagged | Comments Off on Beyond Rigor