Author: samjshah

Bad Students Or Bad Teaching?

Okay, so here’s a story I somehow missed from a few months ago. A lecturer of writing at Dartmouth created quite a stir with a threat (then removed, then reinstated) of suing her students and some colleagues. Why? Discrimination. (Honestly, though, who knows of what kind. Even after reading everything, I’m at a loss.)

There have been a bunch of writings on the topic, most of which I’ve read, but you can get the overview with this initial article, and then chase it down with a much more interesting interview with the lecturer herself [1]. She alleges, when it comes down to it, that her students were bullies because they didn’t agree with or show sufficient respect to her and the ideas she was proffering.

The reason this controversy spoke to me is partly because the lecturer was teaching a class on Science, Technology, and Society. That’s my undergraduate major and an interest of mine in graduate school (and an amateur interest of mine today). And teaching STS to undergraduates is tough. Believe me — not only did I take a number of courses where the professors and their TAs had their hands full, but also because in graduate school, I TAed for a couple courses which were on STS or STS-themes.

It’s hard work. Here it is laid bare. Getting students to understand the concept that perhaps Science should be spelled with a lowercase ‘s’ and that it doesn’t necessarily always progress to Truth with a capital ‘T’ is mind-blowing for them. It takes a long time for them to even grasp onto that idea. That science is somehow intimately related to culture is contradicted by everything they’ve been taught. Many initially rail against these ideas because they think of science as this Objective thing which can’t have anything to do with culture. It deals, they think, with mathematical equations and physical laws of the universe, and has very little to do with the people who are writing the equations and deriving the laws of the universe

The lecturer notes in her interview:

So there was immediate friction, because basically the concepts that I was trying to bring to them were concepts I was not inventing on my own. They were concepts that were part of the field, and I was trying to bring it to the table. It offended their sensibilities, because the whole course of “Science, Technology, and Society” was about problematizing science and technology, and explaining the argument that science is not just a quest for truth, which is how we think about science normally, but being influenced by social and political values. Now I’m not telling you this to convince you of this. I’m just saying that this is the framework with which I approached the course—that I wanted to bring this view that science and technology; there’s an ethics behind it.

Once you can get them to cross over to the human side of things, you generally can then start talking about scientific innovation, paradigm shifts, and the cultural side of science. It’s hard work. And you can’t win over every student. But the best and most fruitful conversations that I had with my students as a TA, that I had as an undergraduate in my many STS classes, that I had in graduate school with other graduate students, was fighting over the framework. Disagreeing with it, playing around with it, falling in love with it. It’s controversial stuff, not the least of which is because some of it’s hard to read, some of it is hogwash, and some of it goes beyond being radical.

What reading the interview with the lecturer indicates to me, however, is that she probably just doesn’t know how to teach well. Who knows? I wasn’t there. But some choice-quote indicators:

I think that sometimes when you have some students and some instructors they mix like oil and water…

The whole integrity of the course, the whole academic integrity of the course was undermined because it never became about the students meeting my expectations, it became about me meeting their expectations. They abrogated that right. They abrogated, they turned the tables around. Bullying, aggressive, and disrespectful.

I talked about ideas that were strange, I came off as very eccentric. I can’t make things up, I can’t read their mind. So they would use any type of vulnerability. They would use this and write these horrible evaluations that hardly reflected my efforts and quality of my teaching.

I said what you did was unacceptable. They started arguing with me. I said fine. You think you know everything. You think you know everything without the knowledge base to boot, without the training, you think you have a command of all the knowledge in the world at this stage in your life, then I’m sorry, that is fascism and that is demagoguery.

That’s very arrogant because frankly, and I’m not trying to be an academic elitist, but frankly, they don’t even have a B.A. They’re freshmen.

I think a lot of professors are like, I’m the boss of the classroom and you listen to me, and that’s probably the norm. I’m a little more lenient, I’m a little more liberal, and I think this was kind of taken advantage of. I think also that many times when I was lecturing, many of the students would take over the class.

While they took over the class, the students that were questioning me would not question the student, but they would consistently question me.

She was probably the most abrasive, the most offensive, the most disruptive student. She ruined that class. She ruined it. She ruined it. That class actually had a lot of potential, there were some really bright kids there, but every time she would do a number of things that were very inappropriate… One of the things that she did, this is also really interesting, was that she would always ask me how to spell things. That was her thing. She would say how to do you spell this? How to you spell that? I mean—what am I supposed to do?—so I would tell her.

Yeah, I think professors are not immune from being questioned. I’m not saying that these scholars I’ve studied should not be questioned, but the comments I was getting on my papers were like “Oh, this thinker is like, the worst writer in the whole wide world,” or “This thinker thinks they know everything,” and I would be getting irrational things from them.

So yeah. I’m not sure she is knows how to teach. My sense is — and again, who am I to know? — she didn’t introduce the concepts slowly enough for the freshman. They’re hard concepts. She might not really have a (good) classroom management style, so the students ended up taking over the class. And the biggest thing that drives me nuts about this? She didn’t capitalize on their questioning, their dissent. That’s where the learning takes place, because it’s in the dissent that their confusion can be seen. Their assumptions teased out. And the truly academic dialogue can take place. She seemed to want her students to get it because she said so.

Academia isn’t about teaching. At least not at the big research universities, where research is privileged. That’s one of the huge reasons I had to leave grad school. The blame probably should be spread out a bit more. Still, a fascinating case study, tying together my interests in teaching and my interests in STS.

[1] A whole slew of links are here.

Student versus Teenager

I was never them. I can’t relate.

I was looking online for something related to my school, and I came across a LiveJournal by a student (from my school way before I came). He writes sporadically about his senior year (sometimes writing from class)!

Some things he says:

  • I just did absolutely awful on my bio test and I am really disappointed in myself. Weinsieder just farted and I’m in Stats… this is great. Another wonderful beginning to a day in the best school on earth….
  • Last night was pretty fun now that I think about it. Smokin a fatty and then going to Wo Hop then the Knicks game, sounds like a decent night. The problem was… marijuana is not the drug for the Knicks game. I was about to pass out right in the seat.
  • F*** YOU… I can’t believe you. I can’t believe how you can ruin me in 2 minutes of conversation. I don’t know how you can live with yourself, with just killing me repeatedly… I can’t even describe how I feel and how much I want to punch something but I’m not going to, I don’t want any more scars on my hand and I don’t want any more scars period.
  • Weird a** night. Went to the party… threw up..drank a lot… broke my knuckle…went to Vegas on Smith St… met some girls… went to their crib…
  • I was just thinking about going to Europe and how it is going to be amazing. I hope I survive and don’t go to jail and don’t get poisoned. I’m going to be rebellious and get an ear-ring before I go. My parents can’t rip my ear off if I’m in another continent. I have also been thinking about prom and how I really hope it is somewhat okay.
  • Well hmm I dont know what to say. Today I did a lot of loitering, not knowing what to do with myself…. trying to pretend to sleep. I realized that I have to start playing basketball again because 2 years ago I was pretty good and now I can be better if I get my act together. School is wwwiiiiiiiiiiinddddinnnng down and I am getting more and more aburrido.
I’m a young teacher; it wasn’t so long since I was in high school. But clearly we only see a small fraction of our students’ lives. And reading this journal reminded me exactly of that fact. Even though it often feels like they are our jobs, and even though we see them almost every week day, and even though we’re with them for a year, they don’t see us proportionally. We’re just one small piece of something much larger. We’re just one part of a constellation of teachers, while there are other constellation — many constellations. Of friends, of family, of peers, of lots of things.  I started thinking more about this recently, but after reading these journal entries, I’m expanding how I have to think about them.
Back to the kid above. I started out by saying “I was never them” — which is true. I can’t relate to many of things this kid talked about. My life was incredibly different, and I’ll freely admit that. But what comes through in these posts is more than just the drinking, partying, and apathy.
And so I lied. Because I can relate. The emotion drips through in everything he writes — the ennui, or anger, or angst. The boredom. I remember the boredom.  He cares, when he’s trying to project he doesn’t. He thinks, he feels, he is a creature whose life is a series of contingencies, he is trying to figure out who the heck he is and what he’s all about.
And let’s be realistic: we’re only a (very) small part of that.
We matter, but only a small bit. We teachers see one small slice (50 minutes of class) of something really complex (a whole life). And I don’t think I ever really knew that until this very moment.
Will this affect how I teach? I don’t know yet. Because I’m not sure I teach to mold that young person. Dan Meyer asked this exact question a few weeks ago.
In what two ways will your male teenage students spend their free time and disposable cash this weekend? How much does it matter if you don’t know?
Right now all I’m prepared to say is that: the question has a totally different meaning to me now than it did a few hours ago.
With that said, I entreat edubloggers to go out there and find one or two livejournals written by teenagers similar to those that go to your school.
Note: I kept a livejournal in college; I might do a future post on that. Might.

Algebraic Manipulation Is Overrated

An intuition question.

Look at the function below. It may surprise you that it is a constant! For any value of x, the function g will have the same value. I’m wondering, now that you know this, if you can get a sense of why it would be a constant, without (a) using your graphing calculator, or (b) taking the derivative to show that it is 0 [that is what I did, and as a side note, I have to use this on a test or homework next year].

g(x)=\frac{\sin(x)+\sin(x+a)}{\cos(x)-\cos(x+a)}

Can you find some geometric way to see that?

It took me somewhere between a half hour and an hour of playing around to get it. I can post my solution in a couple days, but right now I don’t have the energy to find a program to draw my solution [1]. But let me just tell you: it’s beautiful. You’ll be stunned when you first do it. Yeah, the calculus way tells you it is a constant, but seeing the “why” is still a mystery. The geometric way takes a bit, but whoa nellie, you won’t regret spending the time!

[1] Or maybe I should claim there is no room in the margin! (JK)

Update: I did finally write up my solution. I quickly did something I never have done before: do my work in powerpoint. It worked fine.

Update: Mr. K solved the problem in 3 minutes and found a way to show the geometric solution. Head over to his very excellent blog to see it in all it’s glory.

Update: Besides mine and Mr. Ks, a third and perhaps more elegant solution is up at 11011110.

Of the three, I think I like Mr. K’s visualization best, even though it might not be a proof in the formal sense.

“Professional Development”

Each year, my school provides each teacher with $100 of “professional development” money. I don’t know exactly why they call it that (hence the quotation marks). For things like conferences, online courses, etc., we have a really great fund to tap into. No one I have talked to has ever been denied money from that fund. This $100 is more of a mystery. You have to submit receipts for it, and it needs to be for things relating to school. I could buy school supplies, for example. Professional development? Tenuous.

And, in fact, each year there’s a book fair with tons of books for students and teachers to buy from. It’s a fundraiser for yet another something or the other. I learned that it’s tradition for teachers to never use their money during the year, and during this week in May, pick out $100 worth of books from the fair to count as their “professional development” money. This practice is so institutionalized that you don’t ever have to take out your wallet to get the books; the people running the book fair just write your name down and the total amount you’ve spent on a piece of paper and you’re done.

Streamlined, and sweet. Just the way I like it. [1]

I’m not complaining. How could I complain about this? But I do wonder why this money needs to be couched in terms of “professional development”? (No matter how broadly you look at it, my Martha Stewart books will never be professional development.) My suggestion: why not just call it a “we like you teachers and we want to give you a little pick me up” perk and be done with it?  I like my school. But for some reason, getting a $100 and being it’s told because “we like you teachers and we want to give you a little pick me up” is just so much more satisfying than “professional development.” So I’ll pretend that’s what it’s explicitly earmarked as and go along merrily.

[1] I know you’re wondering… I bought two very smart-looking hardcover Martha Stewart books (“classic” and “new” recipes), Middlesex (Jeffrey Eugenides), and The Secret History (Donna Tartt). I’ve read the Donna Tartt book before. One of the best books I’ve ever read, hands down.

End game

I had the end game in sight. I carefully planned out all my Algebra II classes so that we could learn the very basics of matrices and systems of equations, and have one last quiz on them, before the school’s official “review days” kick in. (No assessments during those days.)

Everything was peachy keen.

Until I learned that, oh, yeah, the school was taking away one of my classes and giving it to an Academic Awards Ceremony. Which is fine, I can deal. But that’s one of those things that get slipped through the cracks in terms of “let’s tell new teachers that the awards presentation is during class!”

The point is, everything had been planned out. I had dotted every i, crossed every t. (The jots and tittles were there, I swear!) Now with that class given up to the awards ceremony, everything gets totally screwed up in terms of teaching. It’s not just missing that one class, but it’s a perfect storm. One consequence is that, get this:

there will be a stretch of 7 days (that’s including 2 weekend days) that I don’t see one of my Algebra II classes, due to something or another.

Let’s go through them in order: there’s the one day that week we don’t meet regularly (rotating schedule), there’s a high school field trip day, there’s the awards ceremony day, there’s saturday and sunday, there’s memorial day, and there is registration day.

There are other issues, in terms of the quiz I was going to be giving them. Normally, this is all no sweat. I roll with the punches, I can jiggle something here and finagle something there. But in end game mode, you have nothing to adjust to make everything work. I’ll pull a Tim Gunn, and it’ll all play out nicely. It’s just annoying that I have to pull a Tim Gunn in the first place.

As an aside, sorry for all the metaphors, or whatever I’m doing (“roll with the punches,” “end game,” “jot and tittle,” “perfect storm,” “slipped through the cracks”). I don’t know what’s wrong with me.

Calculus Projects! Or, How to Combat Senioritis.

The year is coming to a close and I’ve found something to entertain my seniors. They’re taking regular calculus. More than likely, most of them will never take a math class again. If they are going to take math in college, chances are they’re going to be taking calculus over again (I don’t teach the AP calculus classes at my school).

My school treats seniors with the deference that seniors think they deserve. They don’t have to take final exams, they don’t go to classes after May 22nd (don’t ask), and they miss a lot of May to AP exams. All in all, because of these restrictions, May is pretty hard to plan, if you teach a senior class.

I gave my last quiz recently, and I’m having students use their class time to work on a calculus project.

I only have 7 students in this class, so I decided to do something pretty radical. I pretty much gave them free reign on their project. I told them they could do anything they wanted — just as long as they’re passionate about it. They have to do something they’re going to enjoy doing. They could also choose the point value of the project (a large quiz grade or test grade).

At this point, the only way I’m going to get them to do anything is by tapping into things they like.

So I had them brainstorm, we met individually so I could guide them, and they’re off to the races, with some great projects:

  1. One student is doing a study of Newton’s method (we didn’t cover it in class) to find the zeros of a polynomial. She’s going to compare whether Newton’s method to finding zeros is “better” than a more simplistic method of finding zeros. That method, in case you were wondering, has you find an interval where you know there is a zero (e.g. for example, say you know there’s a zero on [-1,1] because the function is negative when x=-1 and positive when x=1). Then you divide the interval in half (into [-1,0] and [0,1]) and you find which of those two intervals has the zero. Then you divide that interval in half, and find which of those two intervals has the zero. On and on and on…
  2. Another student is doing a study of rainbows, which involves calculus. (Awesome resources here and here.)
  3. Another student really liked learning the intuitive version of the chain rule that I taught (post one and two), and wanted to make a lesson for my students next year on that! So she’s making a video tutorial and worksheet to accompany it.
  4. In the same spirit of teaching, one of my students wanted to do something similar by making a video tutorial on the formal definition of the derivative.
  5. One student is taking AP Physics B, but throughout the course, has noted connections between what he’s learned in his non-calculus-based physics class and what we’re doing in calculus class. One connection he made was between Pressure, Volume, and Work. He (rightfully) noted that W=\int P dv. So he’s going to be making a presentation on this relationship by doing a bit of research and bringing application to the class.
  6. Another one wanted to learn something “new” so I suggested he do some research on a hanging string. More notably, if you hold up a string (like a necklace), it will hang down due to gravity. Surprisingly (or not?) the shape is not a parabola. It turns out that it’s this funky shape called a catenary. He’s investigating why that’s the case, and how to derive the formula.
  7. Last but not least, one of my students had difficulty with the sections on surface area and volume, because she couldn’t visualize the regions/spaces being formed. So she’s making two mechanical thingamajiggers out of wire. You bend the wire to be whatever function you’re going to be rotating, and then there’s a handle that rotates the wire. I am so excited about this one — I hope it works out so I can use the model next year in class!