Look for ease and alertness and balance. The fact is that most Alexander teachers come to the Technique to solve problems of their own. In the course of working on themselves many people become so interested in the body and in the process of improving its functioning that they decide to become teachers. Those people become good teachers and their experience of liberating themselves is an asset to their students. These teachers have a real understanding of what the student is going through.
Some teachers talk very little during a lesson and some talk a lot.
Talking may be helpful to the student, but it is not the only good way to teach. Some Alexander teachers are not particularly verbal people. They invite processing with their hands, or they rely on the body to assimilate something even if it is not named. If you are getting freer and more awake and more able to choose free movement, you are being taught well. Something must be said about the means that the teacher uses in the teaching.