I would not discuss pedagogy with a music teacher, and especially not insist that at teacher should adopt my choice of system, based on the reading of two authors. A teacher is (should be) an expert in his field, and has come upon his pedagogical system after years of study and probably has experience with numerous students. I am a trained teacher academically, and I still would not argue pedagogy with my teacher.
I am not too sure if we should take a dogmatic approach to learning. In fact, I feel this dogmatic approach is what ills the current state of piano education throughout the world. As stressed by Chang (and many others), piano playing shouldn't be too difficult, but the percentage of people who drop out from piano remains unacceptably high. And it is not due to lack of passion. Far too many people are left stranded in the lower reaches of technique, unable to cope with literature like Chopin and Rachmaninov. Playing Chopin and Rach and Liszt is what all pianists should aspire to do! It's like a book reader forever unable to progress beyond abriged versions of classics.
Something is definitely wrong with piano paedegogy, but so far no one has come forward and state his case convincingly. Accepting the paedegogy of your teacher just because he is your teacher is definitely not one of the solutions.
I am also familiar with the academic paedagogy, especially in Math and Physics. Somehow I just find something is rotten there. Why is it that the maths and physics presented at high school level are so devoid of fun and passion and intrigue, when the subjects by themselves are actually not so!
E.g. learning that differentiation and integration, 2 seemingly independent techniques(one deals with gradient, another deals with area) are opposites of each other should be one of the milestones of our mathematical education, but that crucial element of suspense and intrigue is cruelly taken away from high school students. Lack of time is often brought up as an excuse, but to sacrifice passion for the sake of time is sacrilegious.
I am weaned on Feynman's books and just read Bill Bryson's A short history of nearly everything. So, having been influenced by these 2 genius educators, I may come on a bit too strongly here.