[Aerroon]

How much of a difference do teachers make in the public school system? I don't mean teacher vs no teacher, but good teacher vs average teacher. The topics in the public school system are not set by the teachers themselves - they have to teach what has been decided elsewhere. A good teacher can engage students better, but how much of that is the teacher's ability as opposed to the teacher and students happening to get along? How much of it is good students self-selecting themselves into academically better schools, therefore having better peers?

Asked in a different way: if we paid (all) teachers 3x as we do right now, would we observe significant long-term improvements in students?