exactly what did they teach in hobbit schools?

[ArwenBaggins]

I agree with Nar.
I think there were maybe a few small, private schools for the higher and, well, richer hobbit families.
Families like Sam's wouldn't have the money or the time to go to school.
Bilbo, who, as a member of a higher family, probably taught little hobbits in his and their spare time.