How much aerodynamics should pilots know?
I've got onto this thread a bit late, but I wanted to add my two cents worth here . . .
I've been teaching ground schools (from private through commercial) for quite a few years now. Knowledge is power, but if I could sum it up I would teach two principle above all else.
The first would be center of gravity, center of pressure.
Second, would be the characteristics surrounding stalls and spins.
There you have it . . .