My post was unusually truncated yesterday because I realized partly through that I had run out of time. I rarely write totally hypothetically. So:
I guess we do see people who "fell into" teaching but can we really guess what they lack?
I did not start with a guess when I wrote. A number of things I encountered were on my mind.
- There was a teacher for whom I had a great respect, because after ten or so years of having fallen into teaching, he/she (I'll say "he") realized his own lacks. This teacher then took lessons as an advanced student with an excellent teacher, and learned new things both in playing technique, and music theory.
"I would not have thought of these things on my own." - which after all is why anyone seeks a teacher. When you have a new knowledge base or skill base, then your subsequent learning is on your own, building on it. This teacher was delighted both by the improvement in his own playing, and what he could teach his own students; and also to be able to teach more advanced students. The point is he did not just set out to get these things on his own, he worked with a teacher who knew things he did not yet know. This earned my respect.
- When I first joined the forums, there was somebody who taught piano, who complained about how poorly his students played and did not advance - in particular a handful of students being "prepared" for an advanced exam. With some probing it turned out that this person's idea of practising was to play things over and over from the start until fast enough, and teaching consisted of playing an advanced impressively in order to inspire the students. This person was over the moon with delight to "discover" from the forum that one breaks pieces into sections, analyzes them, works strategically on advanced material. Had he not gotten this new information from good teachers in the forum, he would have continued as before, and thinking there was something wrong with most of his students rather than his teaching method (and own method of playing music) Personally I was shocked to see this kind of thing when I first joined piano forums.
- I was honoured to know a very senior teacher who discovered a specialized teacher for advanced student, who gave him angles of technique that were new to him. The lessons were $100 or $200 an hour, and he traveled long distances for them. Although he already played at a high level and taught in a careful, and professional way, he came at angles that were new to him and that he had not gotten to on his own, and he was very happy to be able to add this to the gift of teaching he could offer his students.
These are specific stories that I got directly from teachers, and it is not all of them. It is not guessing. On the student side I sometimes explore things privately with other students. From time to time I see problems that stem from how a thing is (not) taught, and some of these students quote their teachers as talking about the many "untalented" students they have, who all "can't get this" - they do not think that their teaching method may be at fault, because they have concluded that lack of talent or diligence is the cause. In one case I gave a student an approach which she then applied, and this same teacher was then pleasantly shocked at how well she suddenly played. My conjecture had been that teaching approach was the problem, and the results seemed to bear this out.
This should answer the next comment:
I'd say a great majority would know what to improve as they teach and gain experience, but would they actually benefit from going to another teacher and learn outside the context of the lessons themselves? I think the lessons themselves over the years act as the best teacher to the teacher.
Maybe there is a critical point where you have enough knowledge and skills to be able to connect the dots and improve your weak areas yourself. But in the above cases, these teachers, two of whom I respected highly, decided that studying with an advanced or master teacher would give them things that they could not get at themselves. For the teacher who had a whole segment of students who always had trouble with certain things she taught, she simply blamed student talent, and so did not grow even in decades. If you plant cabbages, expect more cabbages.
If a teacher was being mentored I'd think whoever if helping them would need to sit in on actual lessons to offer better advice, isolation from this environment would seem too generic.
Depending on what is going on and what is being sought, this is a good idea.
I have one caution, however. Two teachers may have opposing approaches which only the march of time can prove out. If a teacher with one approach sees a few isolated lessons in only one or two weeks, given by a teacher with an opposing approach, he will be seeing this through the lens of his own practice, and may come to very wrong conclusions.
If there were statistics on this I am sure that most teachers who have years of teaching dealing with many many students actively work on the "holes" in their teaching methodology, unless they are pig headed teachers who ignore all feedback from their students.
The pig headed and prideful are probably in there. As to feedback from students: how many teachers create an environment where a student would
dare give any? Even where a teacher is not intimidating, there is a deference many hold toward teachers.
There is also the saying that "too make cooks spoil the broth" and I think that resonates with teaching as well. There are so many approaches and ideas that if a teacher tries to use everything their methodology becomes less and less "themselves" and perhaps even the end product of teaching to a student can become confusing and overloaded.
This I AGREE with wholeheartedly.