Also, speaking as a middle school educator, what I can do with class numbers depends so much on what the students come prepared to do.
I was never a teacher in an American public school, but as an EFL teacher, this really rings true. Also, props for teaching a math support class. I was one of those students myself and I honestly appreciated the teachers that did their best to help me out. On reflection though, I think that I wasn't really ready to learn math, or at least I couldn't understand why it was an important subject to learn. Of course, now I do, much to my chagrin. Especially as I am reviewing for the GRE.
Anyway, group dynamics is something I'm really interested in and actually one of the graduate degrees I am considering is organizational psychology and more specifically conflict resolution. I have spoken to some people who think that conflict resolution is a hyper-specialization, but I've talked to others that see it as a fast-growing field with plenty of real-world application and demand. Either way, the field is growing.
One thing that has always puzzled me about the public school system in the US is that class creation does seem to have some kind of logic behind it (at least in my experience) not nearly enough attention is directed at optimizing those groupings. Granted, there are limited configurations possible in most settings, but even so, group dynamics can make or break a class.
In many ways, I feel like politicians should have experience with certain areas directly, since the decisions they make tend to affect those areas so greatly. The areas that come most immediately to mind are teaching, banking, economics and sociology. Of course, it is absurd to expect politicians to be masters of these things, but I think that greater compassion will lead to politics that better represent the will of the people and the only way I can think of to foster that is through direct experience.
I think that this would lead to an understanding amongst politicians and the wider public that teaching a class of 38 collaborators interested in discovering something is a wildly different experience than paying intensive and individual attention to a class of 15 students poised to become adversaries at any given opportunity.