Matthey Yglesias on class size.
Class size is actually much trickier than it seems at first glance. All else being equal, a class of fifteen is better than a class of thirty is better than a class of forty-five. And yet, all else being equal a good teacher is better than a worse teacher. And yet, if your school expands the size of its teaching staff then, all else being equal, the new hires are going to be worse than the old hires, since the best people in the profession already had jobs.
There is nothing tricky here at all. Basically we have a multivariate process where smaller class size is better when all other variables are held constant. Big deal.
Does this mean that smaller class sizes is always better, of course not. If student learning is a multivariate process then focusing on one variable is probably bad policy.
Posted by Steve at January 29, 2004 12:24 PMOne also suspects a curvilinear relationship at play, even with all else held constant. Surely, the incremental difference of a class size of, say, 100 versus 150 is negligible. On the other hand, one would think that going below a certain number, say 10, would actually be harmful, since one misses out on the benefits of interaction.
Posted by: James Joyner on January 29, 2004 12:53 PMI don't think it's fair to charaterize MY's argument as simply saying that there are other relevant factors in learning besides class size. His point is that class size and teaching quality are not independent variables. You may as well criticize the argument that an increase in the income tax rate discourages the creation of income which will cause the total tax revenue to increase less than the otherwise expected amount. That just means that tax revenue is a multivariate process and so the insight is worthless, right?
Posted by: Xavier on January 29, 2004 01:01 PMSo....one becomes a better or worse teacher as class size changes?
Further, exactly which part of Matthew's post implies this notion that class size and teaching ability are somehow correlated?
I've re-read all of Matthew's post and see nothing that I'd consider profound. Could you point out exactly what you think I'm missing (i.e., a quote).
James,
That's a good point. I was thinking the same thing. Cutting a large class to a still large class probably would have neglible effect. Also, below a certain point smaller class size might be detrimental.
Posted by: Steve on January 29, 2004 01:43 PMI hadn't read MY's post on his own blog. I just read your excerpted portion.
"And yet, if your school expands the size of its teaching staff then, all else being equal, the new hires are going to be worse than the old hires, since the best people in the profession already had jobs."
If we have smaller classes (with the same total number of kids in the school system) we will have to hire more teachers. Assuming there is some sort of competition for teaching jobs, if we start hiring more teachers then we will have to hire some teachers who otherwise wouldn't make the cut. The teachers that we already have won't become worse because they are teaching fewer students, but the average quality of teachers will decline.
Hiring more teachers (without increasing salary or other incentives to attract them) will lower their average quality. That would tend to partially offset any benefits from decreased class sizes. That would mean that any studies comparing how children learn in small classes as compared to large classes would overstate the benefit of a class size limit.
I compared that to an analysis of the effect of a tax increase on total tax revenue. You could say that total tax revenue is a function of two variables: tax rates and of economic activity. But it is important to also note that tax rates and the amount of economic activity are not independent. It is similarly deceptive to say that student learning is a function of both class size and teaching quality without also saying that changing class sizes may affect average teaching quality.
Is that any better?
Posted by: Xavier on January 29, 2004 02:10 PMYet, we've got voter-mandated class size restrictions in Florida, without a single extra dime to pay for them.
This is what's wrong with referendums concerning services. You can always vote your heart, and hope the other guy's going to pay for it.
I've got my own reasons for wanting smaller class size, and they've got nothing at all to do with the average student. Some kids don't actually need the interaction; I never did. Treating all kids as if they were interchangeable parts is just a little overly PC, IMO.
Posted by: Slartibartfast on January 29, 2004 02:16 PMSure that's better, but I don't see how that contradicts anything in my post. What you are basically saying is that not everything is equal. Again, big deal. I see nothing tricky nor profound with this.
Posted by: Steve on January 29, 2004 03:57 PMOTOH, the work environment improves when you decrease class size. Hence, the job of teacher becomes more competitive. Also, you reduce the turnover in new teachers (anecdotally, this appears to be a problem to me).
Hence, hiring more teachers doesn't mean that you'll get less qualified teachers (though I imagine you'll pick up a few when you double the number of teachers). I met several people who were new public school teachers, but got out because the job was so hellish. In a lot of places, new teachers get the classes of the worst students. Halving class size makes that a lot less painful. A class of 15 is a lot easier to control than a class of 30.
Also, there's the matter of whether it's better for a "better" teacher to teach 30 students or a "worse" teacher to teach 15 students. I wouldn't be surprised if the second can do as good a job as the first.
Posted by: Karl Hallowell on January 30, 2004 06:26 AMA couple points:
The skills required to teach are different from and independent of the skills required to manage large numbers of people. A good teacher might not be able to manage a large classroom and so may never have the chance to employ his/her teaching skills. A good classroom manager may get a stadium-full of students to participate in what amounts to a pointless exercise.
The issue of SCHOOL size is often overlooks. In particular with regard to highschools, small schools ("small =
Posted by: Pouncer on January 30, 2004 08:59 AM
Hmmm...
Didn't the Supreme Court recently rule that diversity of students is a critical state interest in education. Clearly, in that case, the larger the class the better. After all, in a large class each whining minority racial and ethnic group can have more precise proportional representation!
I think it is clear that if the issue went to the Supreme Court, class sizes in the hundreds would be found to be essential for good education!
Posted by: John Moore (Useful Fools) on January 30, 2004 02:42 PMOr, alternately, the smaller schools can share the minority students to maintain the precise minority representation. Yeah, that's it.
Posted by: Slartibartfast on February 2, 2004 01:54 PM