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My suggestion would be this.
Assume that you have your intuition, already, and it is good. May be it is distinct from others, may be you will not be 'narrowing' to the right answer within seconds -- like many folks who do Olympiads... Just do basic things, but every other day.
Get books/materials that have solutions (not just problems).
use those, compare your results, and then try again. If you feel like you do not understand 'why', you will need a particular subject area. Switch to read about applications of that area, how historically it came about and so. And then back to problem solving, proofs, and reading other people's papers (when you can..). It is hard work, but over time you will build up your version of the so called intuition, it will be powerful, you will be able to apply it all over the place. Also there are a number of math forums where you can reach out, if you are really stuck and cannot figure out how a particular proof, or solution was obtained. |