Thursday, April 11, 2013

Trolling the Undergrads

 [This post is the result of a couple of conversations I had with my office mates. The funniest parts were, I'm sure, someone else's idea. Also, I don't plan on doing anything mean to my students. Don't take my funding away.]

What do grad students do for fun? Drink beer, mostly. But what do we do to pass the time when we should be reading papers, working on research and exercises  (the kind in math books), and figuring out what we are going to teach the next day? We plot our revenge.

Undergraduates are the enemy. That may seem harsh. After all, we were undergraduates once. And we were annoying as hell. Their very presence at the university forces us to devote 20 hours a week to calculus 2 classes. Yeah, yeah, I know, without them to teach I wouldn't have funding. That's true. Fine. But that ruins the joke.

If a graduate student has finished all of their work (or all the work they have the motivation to do) and have to stick around their office for office hours, no undergrad will show. But undergrads can sense when graduate students are busy. That is when they will show up early to office hours, and try to stay late. They will email their TA asking to schedule extra office hours because the regularly scheduled hours interfere with their intramural beer pong tournament, but only if the TA has a project deadline approaching. They will ask the same three questions in class three days in a row. Their TA will answer the question, three times, and do three different practice problems to illustrate the point. Undergraduates will then get the question identical to these examples completely wrong on their quiz. Undergraduates will tell you that f(x)=sin(x) is an 8th degree polynomial.

So what can be  done? How can we, in the graduate student community strike back? The professors all have different strategies. Nontenured professors will enthusiastically and cheerfully make the class as difficult as possible. They will be sure to say things like "this is an easy problem" as often as possible. An undergraduate who walks into their office will see his innocent question about Euler's Method evolve into a discussion of the Lax equivalence theorem. Intimidated students are much more likely to seek help from their TAs. Tenured professors don't care, and they make sure the undergraduates know it.

Graduate students don't quite have those options. We are beholden to our student reviews. But maybe we can get creative.

I am a Michigan native, with a pretty clear upper midwestern accent. I sound like I should be speaking at a board meeting or selling Chryslers. But I was born in Louisville, KY, and I do not pronounce it "Louis-ville". My point is, I can pull of a pretty good southern drawl if I want to. Or, even better, a hillbilly twang. For whatever reason, hillbillies are not seen as the most intelligent of folk. I'm not sure why, but I think most people would be surprised to encounter Appalachian hill-folk in the math department of a prestigious university. You see where I'm going with this. That first day of class, the undergraduates are going to be a little confused about why they are being taught calculus by Jed Clampett. I could even sport one those big biker moustaches. Or maybe just stop washing my beard.

That would confuse and surprise. But perhaps it would be better just to play on the fears the undergraduates already have. What does an undergrad imagine when they think of a graduate student in the math department? Well, they probably imagine someone born and raised in Korea. I can't pull that one off. But if they thought of a white person, they thought of some combination of the guy from The 40 Year Old Virgin, Sheldon from The Big Bang Theory, and Rain Man. Why not give them exactly that? I could walk into class on the first day, recite a prepared lecture to the blackboard, making sure to scribble my notes. Mutter to myself when I mess something up. Ignore them as they try to get my attention and ask questions. Finally, at the end of the class, when all of the students completely confused and frustrated, I could turn around, surprised, and ask "how long have you all been here?" before hurrying out of the room. I bet half would drop right then.

Professors get to intimidate, and get away with it. It's not so easy for TAs. But perhaps there are ways. The best trick a TA could pull, I think, would require a supporting cast. The first day of calculus 2, none of the students know each other. It wouldn't be hard to bring along a couple of graduate students to be plants in the class. Furthermore, anything we teach in introductory calculus can be discussed with much more rigour and depth. The plan is to teach integration? Well, we'd better start with measure theory,  define topologies and sigma-algebras, and then prove the Riesz representation theorem. Here's where the partners in the class come in to play. Before any students get confused, or brave, enough to stop and ask what the hell is going on, have the grad students pretending to be freshman remark offhandedly to their neighbours things like "oh man, I learned this crap last year in high school", and "oh, professor [name a prof that didn't teach calc 1 last semester] went over this in calc 1". Have them ask a few questions about complex functions, and correct you when you "forget" to show that a function is measurable. Panicked freshman will be running around campus telling everyone that they had no idea what they were getting into when they came to college. Older students will look at them like they are crazy.

The undergrads will be around forever. They will always be frustrating to teach, and take up too much time. But perhaps there are some ways to get back at them. And if those don't work, there's always the old standby: schedule your office hours for Monday and Friday morning.


Friday, March 15, 2013

Oh man how can you do math? It's so hard!

Yeah, I know, math is hard. You know what else is hard? Any subject if you study it thoroughly enough. People seem to have a much different relationship with math than other subjects, however, so that whenever I admit I am, indeed, pursuing a graduate education in mathematics, their first impulse is to tell me about how hard math was for them. Do you often tell your doctor about how you failed organic chemistry? Are people mentioning all the time to reporters how they were never any good with sentence structure? This is why we have a specialized society.

I am a graduate student in mathematics. We are not a group known for our prowess in social situations. But people, you aren't doing us any favours when the first thing you tell is that our chosen life is so difficult, or boring, or something you could never do. Most of us can only come back with a weak "haha yeah I dunno". We aren't all super geniuses (some are, I am not). We spend years learning math. It all seemed like crazy gibberish to me, too, before I had spent 5 years (and counting) learning it.

I think people are afraid that we are constantly on the precipice of launching into a proof of the Sobolev Embedding Theorem or something, and feel the need to convince us that that would be a bad idea. Don't worry, we are not. If you are not studying math, anything I talk to you about that is vaguely math related will probably be related to baseball as well. I spend a good amount of my time trying to explain calculus to people who think they are being punished for something, I don't have an urge to continue trying teach when I am at a party. Now, if you want my take on GMRES or the conjugate gradient method, I'll be happy to give it. But don't worry people, I am not scouting bars for potential students to talk at about my studies. I'll leave that to the political scientists.

People also like to ask what I do all day, as if they think mathematicians spend their days stroking long white beards (hopefully attached to the same person stroking them) and staring at clouds, occasionally stopping to scrawl out a proof on a chalkboard. Perhaps you think we spend our time calculating integrals, that our research looks a lot like your calculus homework (I wish we could still credit for "discovering" the chain rule, I'd be published already). My day is not that uncommon. I go to class, work on homework or research, read papers, teach, and dick around on the internet just like everybody else.

I also  tend to get (mostly from middle aged men in bars for some reason) the question "what do you do with a PhD in math?" I guess it's hard for someone in pharmaceutical sales or business management to figure out why anyone would pay a mathematician. They see us, think about their old calculus homework, think about profit margins or something like that, and think to them selves "you can't sell a theorem to anybody". The easy way out of this is to lie and say I like teaching and want to be a professor. People accept this as perfectly reasonable and noble, and exactly what they would have guessed. This is because most people think a professor is more or less the same thing as a high school teacher. Don't get me wrong, I would never knock teaching as a profession. I have had (and am related to) some great teachers, and have great respect for that profession. But I (and most professors and TAs at major research universities) do not have a passion for teaching. I don't mind it, and I know it is important so I work hard to be the best TA I can be. But I am not here to teach. I want to "do research". I want to find out things no one yet knows about our world, our universe, and (and here is the domain only math can reach) fundamental truth. I don't care where I am doing it.

But how do I explain that to someone with no idea what a mathematician can discover? How do I convince the guy in the bar that, no, I do not want to be an actuary, and yes, I am aware that that profession pays well?

So here's My Point. Don't be afraid of math. Everyone loves watching planet earth on TV, and reading things about sustainable energy in popular science, but nobody wants to hear about the article in the SIAM news. People think they won't understand any article about what is going on in math. Well, you don't really understand that article you just read on the boy who was "cured" of HIV. Raise your hand if read about that and now can explain why and how it happened. Anyone? Ok, fine, anyone who is not a biologist? But you found it interesting and you took something from it anyway. So don't be afraid of those SIAM articles. Google SIAM and click on "siam news". If you are feeling brave (or maybe you are already not so afraid of math) go to ams.org and click around. Read the featured column. You don't have to understand the math, just take a look at what it is accomplishing. You might be amazed. You might even be interested. And it might make our next conversation a lot less awkward.


Wednesday, March 6, 2013

I should write stuff more

So. I have been a graduate student for one and a half semesters. I have not written anything about any of it. Perhaps it is time I started to chronicle my adventures here at UW. They say it is a good idea to keep a dream journal (who says that?), so maybe it is a good idea to put down some of the stuff that has happened in this grad school dream.

I should clarify. When I say "grad school dream", I don't mean it like "oh man I am living the dream this is amazing". Don't get me wrong, I'm happy, and I enjoy what I am doing. But you don't go to grad school for the fun of it, you go to get your degree. That "living the dream" crap comes after. What I mean when I say "grad school dream" is that grad school shares that unique quality of dreaming that nothing seems out of the ordinary. In a dream, you can be sitting on top of a plane the size of a child's big wheel on your way home from spring break and not be bothered by that at all.  Similarly, if a 2000 lb giant flesh eating squirrel exploded through the wall of the average grad student's office, his reaction would probably be to go looking for a saddle he could put on the thing so he didn't have to take the bus to work anymore. This is the reaction of a person in a dream, or a grad student just being a grad student. Any normal person, you know, the type who went and got a real job and makes money and stuff, would of course realize that keeping a 2000 lb squirrel in a small studio apartment in downtown Madison is not at all practical. Plus you'd have to feed it.

Anyway, I spent half of last summer in pretty much the best possible version of "still living with his parents". For one, it was very temporary. Furthermore, my parents moved to a beach. Jackpot. I would go running along the shores of lake Michigan and do my push ups and such on the beach every morning. Hard to beat for a summer. That information isn't all that relevant to my story of being a grad student. I just wanted to make you jealous.

I got to Madison early, a month and a half before the start of the semester. Nothing happened. Anyone who tells you different, anything about "white wizards" is a dirty liar.

So I am a graduate student. I have been for something like half of a year, and I am starting to understand what it is. Well, maybe that is a lie. But I have some ideas at least. Like I know I wasn't surprised when Skippy the 2000 lb squirrel burst through my wall.