View entire discussion
The formal two-column proofs have been deemphasized by recommendation of the NCTM Standards. But when you mention allowing coverage of more topics, I might caution you. Recent TIMMS study results show that math classrooms should emphasize quality rather than quantity. Two-column proofs have their importance in the teaching of ORGANIZED logical reasoning. You can get similar, more natural results, by having students create arguments where proof is necessary to support statements they have made. I have found this approach more meaningful. Be sure topics are investigated well, not that you have "touched" upon more because you shortened your treatment of the two-column proof.
Math Forum Home || The Math Library || Quick Reference || Math Forum Search