What, exactly does "learning by rote" entail?
koji
When you get a complete beginner who knows nothing (which key is C, how to read music, I mean nothing), you have two choices. One is spend a month or so teaching the basics of the basics - which most students find very boring - and then proceed to teach a piece.
Or you can teach them a simple piece strightaway by rote. The means sitting with him/her at the piano and playing hands separate first a single phrase over and over while they imitate you. Then as they play that phrase RH, you play the LH so they get use to the sound of it together. Then you teach the LH and play the RH. Finally you teach both hands by imitation and (if necessary) by guiding their fingers to the proper keys. then you move to the next phrase. If the piece is simple enough and short enough you may get them to play a whole piece in one lesson.
Everyone is impressed, the student is highly motivated, since now he can play something, and the parents think you are the greatest teacher in the universe.
Unfortunately this method of teaching depends completely on the memory of the student. So as the pieces gets more complex, it becomes more and more impossible to learn them this way.
Of course, this has always been the way music has been learnt in the past until musical notation was invented. One of the consequences of musical notation is that music became much much more complex, since now it did not need to be learnt by rote anymore.
It is a bit like computers. As they get more powerful, the programs required to run them demand more memory. Or as someone said:
"Work expands to fill the time available for its complexion"
Best wishes,
Bernhard.