Proving is convincing and explaining |
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| Authors: | Reuben Hersh |
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| Institution: | (1) Department of Mathematics and Statistics, University of New Mexico, 87131 Albuquerque, New Mexico |
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| Abstract: | In mathematical research, the purpose of proof is to convince. The test of whether something is a proof is whether it convinces qualified judges. In the classroom, on the other hand, the purpose of proof is to explain. Enlightened use of proofs in the mathematics classroom aims to stimulate the students' understanding, not to meet abstract standards of  rigor or honesty. |
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