A note before I sally forth....
I have to work on an article today. I'll be writing about memory, trauma and the pitiable state of literary theory, with an eye toward reforming the field. With one hand tied behind my back. But before I strike out for Caidearas (sp?) for my bagel and thence to Olin Library's computers, I want to write briefly about something that has bothered me since I was in high school. How we teach science.
The way my high school was organized, and it is my understanding that a lot of high schools are organized this way, we had the following sequence of science classes. Freshmen took biology, sophomores took chemistry, juniors took physics, and seniors took AP courses or whatever was offered (I took environmental science, where we did a long project monitoring the health of a pond on campus and composted like crazy). The math sequence was geometry, trig, advanced algebra, and pre-calc/AP calc. I took AP calc and got my ass handed to me, but passed because my teacher took pity and knew I was working hard.
Now it seems to me that the science sequence is backwards. Biology comes out of chemistry, which comes out of physics. Newtonian physics, in its high school incarnation, resembles the algebra that we were doing in junior high and would seem to be a great proving ground for the mathematical concepts we learned the previous year, and a concurrent course in geometry is a great introduction to theorem building (stress on the theorem building, which would translate into the illustration of how scientific hypothesis become theories, or laws--and show the relationship between "theorem" and "theory," fer chrissakes, so kids don't forget the confidence we have in scientific theories). That's the freshman year.
The sophomore year is our first chance to rectify the problem of continuity. High school courses are taught in isolation. The physicists and the biologists rarely, to my memory, ever addressed one another, and nobody liked the chemists. In the second year of high school then, teach chemistry as an extension of physics. This means, fundamentally, that you don't stop teaching physics. Man, I wish I remembered more from my freshman science class, and the way you preserve such material is by staying in contact with it. So there. Does that mean sophomores will be taking 2 sciences and a math? Maybe. The same philosophy would govern the progression from chemistry to biology. I think that the chemistry and biology should meet at the level of DNA, where the third year would start. Talk about molecules that replicate themselves and show how they do so chemically, introduce mutation and competition and this will set up evolution. I have a feeling that by this point students should have some sense of statistics. In the senior year, students, having been in continuous contact with the science that they encountered in earlier years, would have a leg up for the AP courses.
I think I understand why the science sequence is the other way around. The products of biology are concrete and observable. Taxonomy and classification is easily teachable, and is perhaps more amenable to the freshman mind. But an important part of the understanding of how those categories of critters arrived is lacking, as well as a sense that there are goddamned uniform laws underwriting the development of critters. Physics, especially the introduction to quantum physics and chemistry can seem more abstract because a lot of what is taught--take the models of the atom and the capricious leaping of electrons from energy state to energy state with nothing in between, for instance--is just not within the realm of experience of the freshman mind. So I get that. Show them things they can cut up and smell (I still choke when I smell formaldehyde).
So, what would a good accompanying math sequence look like for high schoolers? I think that this is important since the risks of having a scientifically illiterate citizenry have not been higher, especially as technology becomes more powerful.
HJ








5 comments:
There is a program called "Physics First," pioneered by Nobel Laureate Leon Lederman, which is geared towards addressing this very issue. The problem isn't, as near as I can tell, that biology is easier conceptually or anything like that, it's the math. Kids in this country are taught way too often that math is just hard, that they can't do math, that it's okay to be bad at math (I deal with these students every year in my physics classes), and they build a wall. There are teachers all over at the K-12 level who are teaching math but dislike math or tell kids (especially girls) that they shouldn't or can't do the work. When I become fabulously wealthy and retire on a college professor's salary, I am going to travel the country, find these teachers, and beat each and every one of them.
That's awesome. But I would just shun them socially. That hurts more and for longer.
I like it.
God, I wonder if back in the day I heard about that, because it seems like a weird thing for me to have an opinion about. My own experience with math was mixed: I came out of grade school behind and I struggled to catch up. By the time I got out of Calc 2, however, I think I was where I needed to be.
I also had a very peculiar moment of mathematical clarity when I was in 6th grade or so. I was sent to an Opus Dei camp (eek, now that I think about it), but we did rocketry and math and crafts all summer. We would do lightening-speed math pair ups in which the one who answered the problem first would move up the line and challenge the next student. After about 6 weeks, we were doing long problems really really fast on our feet. I was surprised. We need mathy boot camp.
HJ
Hey, HJ! You've got some powerful reasoning going on here. Drmagoo's point on math is part of the reason, but the dominant part is really historical artifact. I'm really tired right now, and not thinking too sharply, but I could go on for quite some time on this post. Tell ya what: I'll write up a response on my blog in the next day or two and let you know when it's done. In the meantime here's a couple of links to the major US K-12 sci. curriculum docs:
http://www.project2061.org/
http://www.nap.edu/html/nses/html/
I was involved in minor ways in contributing to both shortly after I got my masters in Sci Ed in the early 90's. These differ, but have much more in common than not. Two more notes: The plural of hypothesis is hypotheses. And I'm pleased you appear to understand that hypotheses can become either theories or laws. Theories do NOT become laws, though that is the dogma that is perpetuated. And a question: how the hell do I attach a link to text in the comments section(s) of Blooger(sic)? I don't know html, but I'm tired of these strings of silly characters I shit all over the place.
LD
Well to embed a link you need to do this. The tags are
a href="http://www.theonion.com"
before and
/a
after the text you want to turn into a link.
For instance, This is the world's finest news source. Hit CTRL+U to see how I put that link together.
HJ
The rhetoric of Physics First is appealing and the sequence intuitive to a lot of people. In the past 10 years many high schools, including at least one large school district: San Diego, have switched to a physics first sequence.
Expanding on what drmagoo said, one of the main problems is math. So-called "mathophobia," which is what he's addressing, is a hurdle. Another math problem (see what I did there?) is that not all high school freshmen have taken algebra, which is essential to getting any understanding out of even the most conceptual physics class. If students are taking algebra concurrently, the classes must be somewhat synced so the students can possess the tools they need for physics when they need them.
Another problem lies in the most appealing part of Physics First: the connections among the sciences. While it is certainly possible to structure a physics course so that atomic physics comes at the end, smoothly transitioning into chemistry, the possible connections with biology are fewer. And the biology teachers currently in the classroom probably do not have the knowledge of physics to teach connections to it properly.
None of the problems I've mentioned are insurmountable. But to solve, they all require time and money, two things the average high school does not have in abundance.
My final gripe is not one with the Physics First program but with the Physics First movement. There exist a boatload of opinion pieces about why the flipped sequence makes sense, one study interviewing teachers who taught at Physics First schools (spoiler: they liked it), but no hard data that I have found. At present it is impossible to assess the efficacy of the Physics First vs the traditional sequence because the studies have not been conducted. So while intuitively it makes a lot of sense, I can't express an endorsement one way or the other. Not that my endorsement means anything more than Ray Comfort's latest oral bowel movement...
Bing, I think you must have read something about this subject. You're hitting on all of Lederman's talking points and examples in your article. Check out his original letter here and I think you'll see what I mean.
Post a Comment