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Showing 1 to 2 of 2 for “"proof-by-contradiction"”.
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Undergraduate Mathematics Education Students' Understanding of Proof by Contradiction and Proof by Contraposition
Proof by contradiction (PBCd) and proof by contraposition (PBCp) are essential yet challenging for students, particularly undergraduate mathematics students, and are often perceived as less convincing and explanatory than direct proof (DP). While several factors have been identified as contributing …
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Using task-based elicitation to measure effectiveness of counterfactual conditional instruction
… and 2) Written logic puzzles designed to elicit proof-by-contradiction (e.g., “If the light were off, Sherlock would know the answer.”). In general, both task types were successful at eliciting either counterfactual second conditionals or related grammatical structures. This study represents the …