Is mathematical intuition innate? Or can we train and improve it?
Quite often when I discuss math problems with other mathies, they make a connection I had not seen or they have an approach to solving it that I had not thought of. Although I'm sure this happens to most of us, I find myself wondering why I hadn't thought of that.
So my question is (since I can't ask for a better innate mathematical intuition at this point):
Do you have a story of how you trained to improve your mathematical intuition?
Did you read certain books? How did you read them?
Did you take on a certain attitude?
Did you do more math problems in your free time?
Did you listen to tapes at night? (just kidding :D)
Also, comment if you have the same question.