I was teaching someone recently and thought about this too. I know there are a lot of models teachers use and methods of learning, but in the MBTI sense, there are two major factors that I can see: Sensing vs. Intuition. Or the teachers and/or students who lay things out in a structured path following a specific order vs those who take a theory and develop/solve it in their heads.
The professors and teachers I had in school that I liked best were the ones who would give the class the basics they needed and then tell us to go do something with it only providing minimal guidelines. The ones I was the least receptive to were the ones who had each and every lesson planned out down to the second and made us follow a certain method of doing the work.
The subjects (as far as the basic ones taught in high school) didn't seem to attract more of one type than another, Math, Science, English, all had a fair mix of both types of teachers.
The best Intuitive teacher I had in high school taught European and World History. Along side the standard lessons, he would teach using board games like Risk and Diplomacy so we could understand exactly why something like a land war in Asia is a very bad idea
On the flip-side, the worst Sensing teacher I had in high school taught American History and had a certain method of doing even the simplest things like taking notes. I barely passed her class not because I didn't know the material, but because I would botch the procedures she set in place.
If anything, I find that Sensing method of teaching to impede my Intuitive learning style. There was a lot of information I would miss when a teacher would require too much miscellaneous information that had nothing to do with the lesson we were supposed to be learning.
I know the Sensing types hated the Intuitive teachers I would have as well though. If the teacher taught a lesson and then told us to go off on our own to work on a project, they would be the ones asking question upon question like, "Does this go here or there? Do you want this or that? Is this good enough or did you want it this way?" So I didn't feel too bad about having those meticulous teachers one year when, the next year I would get some of the Intuitive teachers
