When I was in school I remember thinking, when the futuristic utopia we envisioned in the 2000s arrives, a great deal of people will teach. It will be normal for professionals in all fields to spend some portion of their time teaching. How could it be otherwise, in a civilization which intends to preserve its knowledge and wisdom?
I remember asking my math teacher for applications and she mumbled a non-answer with some embarrassment. It was only years later that I realized, well my god, she's never stepped foot outside of a school in her entire life, no wonder she doesn't know about applications. It would have been nice, I think, to have had some contact with folks who had!
(Later still, I realized that I had reinvented the father from first principles...)