Micah B. answered 05/08/19
Experienced, empowering, and motivating!
There are some concepts of music theory that notation simply lends itself better to learning. Some examples:
- step-wise/diatonic motion
- tertian harmony
- intervallic relationships
- form
- dynamics
- stylistic direction
Those are mostly pitch-related. Rhythm is best remembered when notation is used. I mean that in the most typical case I see in my own life which involves rehearsing one set of music and the same day performing a different set with a different group of people... I need notes! I can't remember all of that!
I have also found that notation (and able readers) expedites the learning process in a group setting, and drastically increases the probability of a successful learning experience and/or performance.