The difference between schooling and education is that in schooling, you are required to go to a proper training related to a certain subject for instance universities, or home schools related to academics. Education is a more general term, you can be educated without getting schooled. 

 For example, one can be educated on how to be paint with proper techniques just by reading books or observing and learning from others without going to school and taking an art class. Education can be outside the 4 walls of the school.