After recently getting into math and math problem solving, I took the AMC 10 (my first AMC exam) and got a rather low score. I want to improve my problem-solving skills and perhaps double-degree in the future (music performance + math). I am currently a freshman in high school taking Algebra II, reading the Art of Problem Solving: Volume 1, and occasionally practicing problems on the AoPS website and past AMC tests. How should I go about improving my problems solving skills, and just math skills in general?
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Do more contest problems (at your level). Read Art of Problem Solving Vol 1 and 2 and do the problems in them. Those books are great. – usr0192 Apr 10 '21 at 16:44
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Does this answer your question? How to Improve Mathematical Thinking and General Problem Solving Skills? – user33704 Oct 04 '23 at 01:25
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You may want to look into a book titled "The Top-Down Approach to Problem Solving", by Eduardo Corpeño (that's me), ISBN 979-8464073296. It's on amazon as paperback and ebook.
It's a guide for high school and college freshmen to learn how to solve any problem, regardless of its type. I hope you like it.