My goal is to become a mathematician. I am just starting to learn math on khan academy. I solve the problems but I do not understand how or why what I am doing works and I have a lot of questions. The answers seem to come to me intuitively. If I take time to think about it and search the answers to my questions I can understand things better but it's slower and I use up all my hours in the day. Should I take time to google a lot of questions learn proofs,history and philosophy of math or will I learn these things in school later on? How do I balance time spent understanding vs learning new things?
closed as off-topic by John B, Gibbs, Namaste, Paul Frost, ArsenBerk Nov 16 '18 at 0:04
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "Seeking personal advice. Questions about choosing a course, academic program, career path, etc. are off-topic. Such questions should be directed to those employed by the institution in question, or other qualified individuals who know your specific circumstances." – John B, Gibbs, Namaste, ArsenBerk
It's very early in your life as a mathematician. As you learn, you will discover your own style - how much time to spend solving problems, practicing calculations, learning proofs, history and philosophy. For now, I suggest doing what you find the most fun. Actually, that would be my advice later too.
I like your ambitious choice of StackExchange username.