FF said this:
Schooling is what gets done to you; education is what you do for yourself. Schooling happens "in a school" or "in a room" or in some other place "out there," while education has always occurred in only one place - a student's yearning mind. S and E are interfering functions. Sometimes their interference is constructive and at other times it is destructive; they can even cancel each other out! Schooling ends when school is not in session, but education never has to end. One major purpose of schooling should be to help students understand what education is and appreciate their own responsibilities in regard to its development.

Well said FF.

There is also the point that I remember hearing when I was very young and trying to be a teacher!!-- Just because you have taught something it does not mean that anyone has learned anything! Very true indeed!