One of the things I find most fascinating about music — and most important to teach — is the relationship between the two halves of the musical brain, and how they need to work together.
The artistic side should be present from the very beginning. Before your fingers find a note, you should be able to hear the music in your mind's ear — to have a sense of what you're reaching for. As you progress, that artistic side takes on a directing role, shaping how the music feels, not just how it sounds.
The technical side, meanwhile, does the necessary work of learning — the notes, the fingering, the patterns. But it needs to learn, in time, to step back and let the artistic side do its job. The difficulty is that it often doesn't, especially under pressure. It wants to stay in control, to monitor and second-guess — and in doing so, it can disrupt the very thing it's trying to protect.
Anyone who has experienced performance nerves will know exactly what I mean.
Part of what I try to do is help students understand this tension, and learn to manage it.