Proof writing is often thought of as one of the most difficult aspects of math education to conquer. However, students who spend time writing about increasingly difficult math topics can develop this skill over time.
The fundamental aspects of a good proof are precision, accuracy, and clarity.
Art of Problem Solving (AoPS) has many resources to help students begin writing proofs.
- The AoPS forums (which you can get to through the Community tab on the left sidebar) are a great place to practice writing solutions to problems. Do your best to make your explanations both clear and complete. Read solutions by other students to see what you might do better. Listen to the constructive criticisms of others.
- AoPS Blogs (also in the Community area) are a great place to showcase your best solutions.
- The AoPSWiki you are in now is written by members of the AoPS community. Contributing to the AoPSWiki means writing mathematics as clearly as you can.
Proof writing guides
- How to Write a Solution by Richard Rusczyk and Mathew Crawford
- How to Read Mathematics -- Not really proof writing, but a helpful read for those learning to write basic proofs.
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