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Originally Posted by uke_master
Yup to almost all of this.
This is bull****. My experience is the opposite. Teaching only faculty are in my mind far MORE likely to try reforms and not teaching in the "traditional" ways. I lead a large team at a public R1 literally about reforming Calculus. We've managed to get every single teaching focused faculty member on board innovating and implimenting active learning opposed to traditional lecturer, but less than half of tenured research progressor. It isn't that they do bad work, it's still pretty high quality, but they are definitely far more stuck on tradition.
I think you are emphasizing the wrong things in teaching. Calculus is "easy" content wise for anyone with a math PhD. The marginal gain from being research active is fairly small. However, what is more important is being an expert at creating an effective teaching environment, and that is separate from being an effective researcher. Because many researchers are dedicated and hardworking people, they can develop both, but I would WAY prefer in a vacuum to choose someone who was well versed in education research, and had a math PhD, than someone who was research active in PDEs, say, but didn't know or care much about the science of learning.
I will say your comment is likely true for the ridiculously underpaid adjunct class that should be eliminated as much as possible in place of permanent, ideally tenured, teaching focused faculty positions in my mind. That is a huge positive shift these days in academia to move this direction.
While I've only taught in universities where all faculty in principle also do research, some of them have been engineering institutions where not all older faculty teaching mathematics had either a PhD or were mathematicians, and the difference in the quality of the teaching, even at the level of setting exam problems in calculus classes, is pretty obvious to anyone with more level. (Some of what you mention is very specific to the US, and while I have taught in the US, I don't do so now.) It's not a question of whether who is teaching the calculus knows calculus, it's a question of the choices they make when teaching it. A typical lower level teacher spends a lot of time teaching about improper integrals of type I and type II; a better teacher describes these things in an entirely different way. Do you prove the Bolzano theorem using an abstract continuity argument or using a constructive interval bisection argument (that moreover gives an error bound)? Whatever the "right" answer is, some faculty can't or don't even think about questions like these, and research faculty are more likely to think about them and maybe decide to do none of the above and skip the proof for drawing a picture ... (Yes, where I work such things are taught with proofs to engineering students ; this is not the US.)
Much of teaching "innovation" is questionable insofar as improving educational outcomes. At any rate, far less clearly successful than many seem to think. Nonetheless, almost all the successful teaching innovation and experimentation I've seen (and I've seen quite a bit) has been undertaken by people either simultaneously actively engaged in research or with research backgrounds. I can't think of an exception.
I don't agree with you with respect to the "science of learning". That's precisely what I think active and formerly active researchers do much better. Their research work forces them to reexamine basic questions and issues and they bring such an approach to teaching calculus, or arithmetic, or whatever. They tend to focus more on core issues and filter the marginally relevant and tedious out better, and they tend to better identify the confusions that operate at the most elementary levels. It's no accident that Gelfand ran a succesful correspondence school, and it's no accident that some of the best books ever written about mathematics education were written by an excellent researcher like Polya. Right now Terry Tao is one of the best expositors out there; I've never gotten to see him teach, but I'd be amazed if he weren't an excellent teacher.
In the context of university level mathematics education, a teacher who has been involved in research has more level, and it's reasonable to assume (speaking statistically again), is harder working, more professional, and has more educational experience, than someone who has not. This statement is possibly less true or even false in environments where there exist teaching only faculty, but this situation is rare outside the US with its liberal arts curriculums, something with little analogue elsewhere. Nonetheless, if you look at the math faculty at the best liberal arts, teaching oriented places in the US, they all come from research backgrounds, PhDs from Princeton, postdocs at MIT, etc., they just decided to focus on something other than only research.
I wholeheartedly agree that there should be stable teaching oriented faculty positions, and believe that this is one of the strongest points of the US non-system of higher education (its nonsystematic flexibility is another), but I also think that those most suited for such positions will mostly continue to be involved in some kind of research.