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. It is a highly regarded text specifically designed for students transitioning from "consuming" mathematics to "producing" it. San Diego State University Core Concepts and Philosophy

That five-step process — restating, contrapositive, definition substitution, algebra, conclusion — is the DNA of mature math. And you can practice it a hundred times using free PDF problem sets.

Download Hammack’s Book of Proof (free). Turn to page 1. Prove something small. Then something larger. Watch the puzzles become patterns, the patterns become proofs, and the proofs become your second language.

"Every argument—in law, coding, or daily life—is an informal proof. I now see where people make hidden assumptions."