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?
2026-03-25 18:55:38.1774464938
Is understanding math deeply important at my level? How do I balance time spent understanding vs learning new mathematics?
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1
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.