Different styles of teaching

I recently came into this discussion with a fellow colleague of mine. There are all sorts of teachers. Those which teach in extreme detail, note by note, others by concept. Some focus on physical solutions, and then there are others who are more sound oriented. Some are problem solvers while others teach and are simply guided by the music they love. However the approach, teachers should not forget the importance in allowing the student to finish playing through a piece, week by week in their lessons. In doing so, the teacher allows the student to develop an entire thought, seamless presentation, and should expect that with each performance, not only will the student acquire confidence and security in their playing, but also the opportunity to discover both a work's pitfalls, intricacies of performance, as well as testing its creative possibilities. Presenting a complete work, sonata, etc, is like running a marathon versus a short jog to the end of the block. A teacher should never underestimate the value of this simple exercise and weekly test of mental concentration. It is quite wonderful, this one, super-simple, but valuable thing to do as a teacher!