A separate issue, but very related: I knew a lot of musicians in High School who were very surprised by how difficult college-level music theory was to grasp. Music theory is on the same level of intellectual difficulty as both advanced mathematics and electrical engineering, sharing with both their completely objective truth and seemly-abstract principles. Abstract in the sense that, as Roger Modjeski (my "hero" ;-) put it, you can’t see electricity (or music). A circuit can be expressed in a schematic, however (and music can be notated). In his course on hi-fi design and engineering, Roger therefore uses analogies to help his students grasp the concepts of current, voltage, etc. (the rate of flow of water out of a tap, the water pressure, etc.).