Depends upon my age and phase [as in whether I wanted to be a cowboy, a doctor, a race car driver, Batman, or a misanthrope / rapscallion at that particular time.]
Generally speaking, I had the strange (not to mention unproductive) tendency for science to top of the list while mathematics was usually dead last.
What makes a teacher great?
If students choose the teacher, that is an excellent first indicator. In the typical top-down selection of teachers, it is easy to produce an abundance of shitty teachers. Of course, there is still the danger of charismatic bullshitters and easy people-pleasers, problems ever-present. But among students (as opposed to followers) they usually reveal themselves in time.
Tiger Riding for Beginners 