3 ideas
Neuhaus argues that technical mastery should be derived from a clear inner conception of what the music means and how it should sound, not drilled as a separate mechanical skill. The clearer the goal (the 'artistic image'), the more precisely the body finds the means to achieve it. Practising mechanics divorced from a musical aim produces skill that cannot serve expression.
Beautiful piano tone comes less from the quality of any single note than from how dynamic levels are distributed across simultaneous voices: melody, bass and accompaniment each get a distinct level. Neuhaus compares it to a painting's foreground, middle ground and background, where depth is heard through the contrasts between layers. An evenly weighted texture sounds flat even if every individual note is well produced.
Neuhaus describes learning a piece in stages. First the player grasps the whole piece and forms a musical conception of it. Second, the player works in detail on technical and interpretive problems, often in isolation, and then rebuilds the whole with full control and freedom. The teacher's aim is to make themselves unnecessary by training the student's ear and judgment so the student can run this process alone.