I'm on a semester break and thankfully I was recently provided with an opportunity to hire any private teacher I like to learn even more math while on break. However, I don't really know how to approach it. What are we going to do? They'll start to explain material that I can read in the book? Solve homework together? I think it's very counter-productive because I can learn more from my mistakes. Or should I come up with questions like "Could you explain why we use open sets in differential calculus?". But I can just google them and get the answer I need.
At the same time I really want to use this possibility since I was offered it. I don't want the opportunity go to waste and at the same time I feel like mathematics is a one man road. Maybe someone can provide me with an option on how to use the opportunity without being bored or counter-productive.