In a piano forum on teaching, the question came up as to how much pianistic skill a teacher should have. Should the teacher be able to demonstrate any piece the student brings? Alas, I jumped in feet first, which is not easy with one foot in mouth, and declared if the teacher can't demonstrate, the student should ask for his money back. In retrospect, this does seem a bit harsh. Still, I have to ask, what is the reasonable expectation of the inquiring student.
Should the teacher be able to play at performance level all of the teaching repertoire? Especially as the repertoire becomes more and more challenging? Certainly at the elementary and intermediate levels the teacher should be able to demo the material, at least in fragments. At the advanced level, though, should the teacher present only repertoire he has himself studied, perhaps performed? Sticky question. In my experience I have noticed that it is possible to be an effective teacher at the elementary and intermediate levels without being a concert pianist. Many of my university students came to me from non-performing teachers. The operative issue at any level is whether the teacher can explain or demonstrate technical and musical issues as they arise.
So, in order to earn the right to keep the fee, we teachers arm ourselves with information. We know how to observe a good hand position, one in which the wrist is like a bridge between the hand and forearm. We know to watch for occasions in which the student stretches to an extreme in order to oblige the printed page, when in fact that is unnecessary and potentially harmful. (The score tells us how the music sounds, not how it feels in
our hands.) We notice when the student stumbles and, instead of advising only to practice slowly or in rhythms, look underneath the hood and decide what mechanism isn't working. (Is this the best fingering? Is the arm behind each finger as it plays? Is the thumb-crossing understood? Can the notes be grouped or shaped more efficiently?)Demonstrations are great and can be an inspiration to the student. My undergraduate teacher, Muriel Kerr, was an outstanding artist and when she demonstrated a passage, it inspired me to head for the practice room. But she didn't have the technical information on the tip of her tongue that I sometimes craved. She had been a child prodigy and likely didn't really know how she did it. So, demonstration alone is not the answer either. If there must be a choice, I'll take information over demonstration any day. Both together, though, well in that case we deserve double the fee.