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If you're taking a class with proofs, you're being prepared for research. Doing your own research into, and reverse engineering, proofs is an important skill.

Proofs in math journals are given 'as-is' and you learn the intuition through social means and discussions.

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i think general math courses would benefit from teaching that skill _at all_. you'd be hard pressed to find people who took that lesson away from a course.

And I think math journals would benefit from a wiki approach.

Anyone could modify the proofs and add comments/explanations.

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