Today, the girls and I went to see the Master's Thesis Defense of Hye Yon Yi, one of David's students who often babysits for the girls. Madison and Ella LOVE Hye Yon. They think she's the best babysitter EVER. David and I think she's a lovely young woman with a lot of potential, too. She invited us last week, so we went. Everyone there was much amused to see M & E there, and extremely complimentary afterward about how incredibly the girls behaved during the hour-long defense. Ella colored, but, to my surprise, Madison listened to the whole thing. She said afterward that she hadn't understood any of it, but she really was listening. I was proud.
Hye Yon's Master's Thesis was on "Turing Instabilities in a S-I-R Model." Don't know what that is? Neither did I, of course. Basically, her paper is a model of what happens mathematically in an epidemic. She took 10 cities from Mayan culture and proposed that each city has contact with exactly two other cities. Her work explored what happens mathematically to the population in terms of people susceptible to the disease but not yet sick, those sick, and those recovering from the disease. The aim was to determine under what conditions the cities are "stable" ("at equilibrium") in terms of what percentages of their populations fell into the three categories.
Here's the thing that's bothering me: I didn't get any of it. Well, ok, I got what I GOT (explained above) but I couldn't follow any of the math. Despite being married to a mathematician for lo these many years, and despite having "math awareness" above the average Jane, there was just no way in hell I was going to track with the equations on the PowerPoint slides. It occurred to me, to my chagrin, that I could probably make some sense out of a Master's Thesis in just about any subject BUT mathematics.
I really have the sense that learning math is different from learning just about anything else in our culture. And I think this is partly because most of us think this way: We understand math *up to a point*, and then, in higher math, SOME MAGIC HAPPENS that very few people understand. So they just decide not to bother.
It's the MAGIC quality of this all that is bothering me. I should know better than almost anyone that mathematics isn't magic at all, it's not confined to the realm of a few magic people who miraculously understand this stuff. It's a step-by-step acquisition of a bunch of knowledge that you have to focus on in a certain way to understand. I think that the accumulation of this knowledge is qualitatively different from most other knowledge, and that this is what makes people think it's magic. And, let me just say, it's hard.
It's worth repeating: It's hard. That's probably why I steered myself away from math and science and engineering (yes, no use trying to blame this on some kind of anti-woman culture, the fault was all mine) toward being an English major. Writing was just easier, and easier for me to be good at it. Yes, it was somewhat lazy, but it's not
just that I was lazy; at the time, I didn't see anyone around me who had a good grasp of higher math, who could tell me that it really was possible to understand it with steady work.
Even my father, who was a professor in the math department at one of the CUNY schools, couldn't explain calculus to me. (OK, he was actually more of an administrator, but STILL.) I imagined learning higher math not as the tortoise in Aesop's fable (which it really is), but as the hare--and, moreover, a hare who'd have to leap into a Star Trek transporter and be beamed over the finish line.
The MAGIC aspect of it all got me. I simply didn't see the path from where I was, Point A, to being a scientist. It wasn't Point B, it was Point Q. Plus, there is a cultural mystique about math that I bought into: the one about it being kind of impossible except for Superior Beings. My unstated attitude (and come on, admit it, it was yours too) was that only special people could survive being a math major, and that even for those people some magic must happen within those four years of college so that they could emerge knowing what
Fourier Transforms are all about.
Living with David has of course taught me that it's not magic, that it's
work, and that with good instruction anyone can learn it. This is what makes my experience this afternoon that much more frustrating. I should have been an engineer, there is no doubt about it. I would have loved it, ultimately. But I'm not an engineer, and while I COULD of course go back, that wouldn't make any sense; it would absolutely not be the best use of my time at the age of 38 when I have many other worthwhile things to accomplish.
On the other hand, I feel like I should know more math than I do, and this afternoon it was really bugging me. After living with David for so long and being fairly brainy myself, shouldn't I have picked up enough that Hye Yon's thesis defense should have made some kind of sense? The answer is easy: Duh, of course not, I haven't actually
done the work. I have learned a fair amount of mathematics trivia, but not enough systematically to put it all together. And (interesting to me), I could kind of see where the gaps were in Hye Yon's presentation given what I know about math and science. But that didn't change my frustration this afternoon.
I would love to give a talk to teenagers called "And then some magic happens..." to try to bust through this mystique without giving the misimpression that higher math is easy. I want to explain that the magic is a myth, that young people shouldn't be intimidated or believe that they have to be somehow special to learn it. I want to explain that if anyone has done something, so can they, given interest and dedication to the effort of puzzling things out. Such a talk would be motivated by, but not degenerate into a wailing account of, my own having misled myself about this.
As you might guess, Madison and Ella will not be so misled. We certainly are not going to try to dictate what they end up doing as a profession--they will follow their own interests. But even if Ella becomes, say, a dancer, you can bet your life that Twinkle Toes will still know how to use a
Gamma matrix.