63

When someone asks in an interview, no-matter what the topic, which cutting edge approaches interest you, they are subtly asking three entirely different questions (in order of severity): Are you even exposed to any of them (which shows an interest in your subject in general) If yes, do you have an opinion on any of them (which shows leadership, independent ...


26

I'm a pure mathematician, and my first impression is that your question seems to be assuming a dichotomy in pure mathematics that isn't really there. The vast majority of pure mathematicians, it seems to me, at times have to deal with abstract structures and do the sort of "thinking and reasoning" with them that you've seen in your analysis and group theory ...


21

Well, it is good to be honest, of course, but if they are interested in "innovative" teaching methods you aren't helping yourself. If they are asking the question, I'll guess that they are looking for innovation and modern methods of course delivery. But, rather than being dishonest, I just suggest that you take some time to investigate things like "active ...


16

You should, of course, give an honest answer to this question. If you say that you use active learning in your classes then you're likely to be asked follow-up questions about how you teach- You won't be in a good position to answer those questions. Some mathematics departments in the US have made significant efforts to change pedagogy and seen good ...


14

If asked, you probably don't just want to say, "I don't do that". I've been in roughly similar positions and I sympathize, and agree that the question can be a little silly/boilerplate depending on who is asking it and how. Traditional lectures are perfectly defensible, and it's quite possible that current fads will swing out of favor at some point. You ...


13

Math professors tend to be pretty casual dressers compared to those in other disciplines. Wearing khaki pants and a collared shirt (polo or button down) would put one towards the dressier end of the spectrum at most places, and jeans and a t-shirt / hoody are usually unlikely to cause one to stand out. I think that if you were to wear a suit and tie to ...


13

You're probably right that more people would see something published in the Monthly than in a "research" journal. But if you are aiming primarily to optimize the positive impact this paper would have on a CV for grad school (in the U.S.) I think it would be much better to say that it has been published in a good-quality research-oriented journal, since that ...


12

I think it depends on what kind of school you are interviewing at and who the interview is with. If it is a teaching position, then this answer is not great. You should be honest, but you can add "I'm open to learning more about problem-based teaching or flipped classrooms but I haven't had experience with that kind of teaching yet." Do some research. Do "...


6

If you've considered the other teaching methods out there (such as problem based learning and flipped classrooms) and come to the conclusion that these are not for you or that you believe they are not better than traditional methods, my practical advice on how to answer this specific interview question would be to twist the question and instead answer "How ...


5

Engineering, like business, is an extremely popular major because it has good employment prospects. It's also well-funded relative to more academic disciplines, because it's easier to get funding from both private and public sources for "useful" research.


5

It is not really clear to me where you draw the line between "reasoning" and "trick". I can assure you, though, that pure mathematics gets very abstract and very theoretical very quickly. What skills are necessary: First of all, you will be frustrated very often and you need to "like" that (a mathematician is somebody wants to be frustrated, rather than ...


4

Reviewers set their own schedule subject, more or less, to deadlines set by the editor. Some might use holidays to work on reviews. Others might rather avoid anything that looks like work. The "end of January" may be a guess or may be more firm, depending on the deadline request sent to reviewers. Perhaps a reviewer has made a "promise" to be done by then. ...


4

I can't speak for other academics, but I think it is unlikely to make a large difference which journal you choose. Whenever I assess a prospective graduate student for a PhD program, if they have published papers, I read these to get an idea of how well they can write, and the level of insight in their existing work. (Applicants for graduate school will ...


4

Or he might go out of order and teach us chapter 6 when we're suppose to be on chapter 2. Up to this point he hasn't done anything like that and has actually been very good at keeping on schedule. So why do you think he will do it? In your question, you do not give any examples of what he does wrong. Be careful not to become overconfident and think you ...


4

My advice would be to go to the website of the university you are thinking about enrolling in, find out who the course coordinator is, and email them about your situation. Explain that you are willing to put in the effort to get your knowledge up to an acceptable level. You may find that they can offer you a bridging course, or suggest having sessions with ...


3

I have seen my fair share of mathematicians failing basic tasks. Probably more iconic ones are related to arithmetics but that is more understandable. For example I have seen a +40 years old working mathematician volunteering to teach differential equations because s/he didn't feel confident in his/her ability do solve them and wanted to force him/her-self ...


3

It is hard to give you well-targeted advice, not knowing a lot more, but I can offer a few suggestions for thinking about the issues. First, your advisor's past comments may just have been momentary frustration that should probably not have been expressed. Perhaps he just has a volatile personality. But you seem to have convinced him now, so no problems. ...


3

As someone from a humanity's field that uses teaching as an intervention technique I know I would never answer I use the standard way. Standard way is a meaningless term. Whose standard way? I had to integrate theory and self to teach or train. I have a toolkit of theories I can choose from depending on the specific circumstances. I would suggest you ...


3

Two Bs in significantly harder, graduate level classes will not harm your chances of admission much if at all. Your GPA will only take a very slight dip from them (assuming your other marks are high) and, really, you did fine for your level. Remember that you are a whole package, not a just GPA. Write a good statement of purpose, work on doing well on the ...


3

Educated guess of what happened: they invited reviewers (which automatically updates the status even if the reviewers don't agree to review). Some/many of the reviewers then declined to review, giving reasons that made the editor decide to desk reject your paper. I'm not a mathematician, but from what I've heard, 4.5 months is not a particularly long wait ...


3

Wear whatever makes you feel comfortable within reason. Mathematicians will be judging you based on what you say and how you think, not what you wear. And if a future advisor for whatever strange reason judges you poorly based on what you like to wear, you probably don't want them as an advisor. Remember, you've been accepted. You are now trying to find an ...


3

The general answer isn't really a number. I expect that in most cases a teaching load is similar to that of a regular faculty member, though that isn't necessarily the case. The semester, trimester, quarter system defines how many regular terms there are per year, with trimester and quarter often being synonymous. It is the number of terms that most ...


3

Welcome to the forum! A mathematician, I forget who, once jokingly remarked that applied maths was like the dark side, because applied mathematicians had more money and dressed in cool clothes, whereas pure maths, well, you get the drift, I'm sure. (I think he was joking, at least). Studying pure maths can be extremely satisfying, intellectually if not ...


2

You are approaching the question from the wrong angle. In essence, you assume that there are canonical ways to show particular data. But that's not true. In the beginning, there is just data, i.e., raw numbers. Then, as the author of an article/thesis/book, you want to use this data as a way to illustrate a point you're making, and the way you show the data ...


2

There is actual research on even the question of board versus slides. Board is better, possibly because it slows the lecturer down; possibly because it sometimes models making mistakes as a normal part of work for everyone; possibly because it models an actual process of problem solving. So if you really want to insist that you "lecture" I think a good ...


2

I can't speak for math specifically but here is a general answer First, don't worry about no research experience. some US undergraduates have research experience but not all. I had literally zero and I was admitted to very prestigious universities As to GPA, there's nothing you can do about the past grades so just do the best you can on remaining classes. ...


2

If you are in the US and intend to go to grad school in the US, I wouldn't be too concerned about this. Few undergraduates in the US have any publications at all and so having some record of published results would make you stand out. One advantage of the MAA is that it has wide readership, whereas a more specialized journal will only be seen by a few. But ...


2

There're several questions in the OP: I am a bit startled that the editor has given a specific time of completion, rather than just say that it's still pending. Could there be any specific reason? The most likely reason is because they invited a reviewer requesting a review by [deadline], and the reviewer agreed to review. This isn't a guarantee that the ...


2

Yes you should study yourself, but you should also listen as something relevant to an exam question may be explained which won't be in your other source. That way you improve yourself - which is the whole point of education.


2

If the contract for the grant is finalized, you can list it as an achievement on your CV.


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