When you write an evaluation of your
proofs, you want to convince me that you understand how to write good
proofs. To do this, you should select three or four proofs from
the ones in your portfolio and critique them using the criteria below.
Be sure to include a proof that you wrote at the beginning of the
course, one that you wrote when you were beginning to understand how to
write proofs, and one that is an example of your very best work.
Criteria for critiquing proofs:
- Theorems are clearly stated without ambiguities.
- The proof method used is clear and appropriate.
- The proof is correct, complete, and elegant.
- The steps in the proof are clear and lead directly from the
hypotheses to the conclusion.
- Each step uses a definition or theorem that has already been
proved.
- You rarely say the same thing twice.
- There are no mistakes in logic, nor in using the definitions or
applying other theorems.
- You use all of the hypotheses.
- You do not assume the conclusion.
- The proof ends by restating the conclusion.
See also the
proof checklist and
Dr.
Sarah's rubric.