Both wsieber and TheFallibleFiend have described one of the most successful ways I've experienced teaching music... quite similar to the way I learn it.

With a piece of music in mind, the focus of the student, the skill or idea to get accross to the student, and a bit of an insight to the difficulties not specific to the student, we start the lesson!

Were off! I don't have a chronology of what to teach in what order. I certainly can't anticipate precisely the troubles a student will be having. Knowing the "hard parts" it gives me the ability to praise at a moments notice (we *all know the momentum of that) and knowing the goals of the student I can direct them toward acheivement... but the specifics of the lesson are improvised! The connections are made through preparation internally and just *happen externally... I am just there to experience it with the student.

'Random events' breed as well as enable creativity!