I will agree with Maryruth's suggestion that not every piece within the method books must be perfected. What I am about to say is going to be entirely my personal opinion and you can take this or leave this (of course).
Musical training is not a linear process. I don't think we as teachers can truly decide when each student is going to not just learn but also
internalize for themselves each aspect of it all. With that being said, each student will be more advanced in some areas than others, or some aspects will come easier than others.
Personally, I think that the ability to read (and then to play what is read) is perhaps thee most important aspect of music that teachers can help students with. I don't think there is a limit to how well a person can learn to read and certainly not within the first several years anyway. Of course there are other factors that are VERY important in terms of music performance, and there are other factors involved in playing that will aid in reading, like a well-trained ear, for example. But, in terms of sheer freedom at the piano, I think that reading is the most important. If an individual cannot read, their opportunities to explore musicality, technique, so on, are considerably more limited than if they can read anything they want.
I would say let her plow through material with a couple of main musical ideas as a focus within each one. Give her more and more challenging pieces so her desire and ability to read continues to be nurtured. Along with that, I would indeed make the rhythmic portions of music reading of great importance as well. There have already been some great suggestions along those lines above.
In the meatime, I would not hesitate to be a little sneaky about musicality. I personally think it is impossible to teach musicality in terms of "now make a hill here and a valley there" ... "Let's make these different since we see it twice, one a question one an answer". I mean, the affect might be close to what we want musically, but they are not really learning
what is musicality this way. So, sure, a teacher can spend time on these aspects as such, but a student is not really learning *musicality*as such.
A student learns about musicality by
listening to music and making personal
connections with music, and gaining experience with it. Music becomes something personal to the individual and no amount of teaching along the lines of artucaltions, breathing, phrasing, etc., can either implant nor replace that.
In the case with your student, she does not seem to lack interst. I personally would not squelch that interest by bogging her down with too many commands that may seem quite arbitrary to her as she is just starting out. So, I think your instincts are right here. But, you can still help her to develop a musical sense about her relationship with music. It seems she is just not aware there is so much more to music (as many students are not). And frankly, that's exactly OKAY. That is why you are there.
Is there any way you can encourage more listening to music ? I think musicality is more along the lines of something which is
awakened in each individual, not planted. So, what can you do to help awaken that in her ? How did it awaken in you ? I believe it is, by its very nature, something quite private and personal for each individual. I would suspect that for many, being awakened by musicality is something that has happened, or most often does happen when alone. OR, at least the experiences to begin with may be very internal vs external (if a musical experience is being shared, it may not be apparent to a newer student of music). Then, when we
make music, one naturally begins to draw on their personal reservoire of what it means to
experience music. And then, we choose to share it.
Keep us posted

m1469