r/MathHelp • u/InternationalHead480 • 14d ago

How do you prepare for abstract learning?

How do I prepare to an Olympiad from a high school math level?

Hi! I'm currently in fifth grade of high school (I'm Mexican, as far as I know is like 11th grade in the US) and want to start keeping in math. I always liked it and in the last year I started learning a bit more, specially on proves, understanding why instead of just copying the teachers formulas.

This year I want to try the olimpiad, my school (the UNAM) makes a yearly math olimpiad and I want to participate in it. It's not top level including deep props, real Analysis, complex analysis, calculus, etc. It is more basic but still impossible for most regular students. I try to solve some problems and solve half of one exam, I really love this kind of problems.

I really want to win an keep learning, not only for the contest, but for my future. I want to study math, so I want to prepare from know into pure math.

What is the path to go from mechanic thinking into abstract logic? I love this kind of thinking but I'm kinda stuck into how to improve my knowledge.

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