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Explicating the Concept of Contrapositive Equivalence
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Dawkins, Paul Christian; Hub, Alec – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
This paper sets forth a concept (Simon, 2017) of contrapositive equivalence and explores some related phenomena of learning through a case study of Hugo's learning in a teaching experiment guiding the reinvention of mathematical logic. Our proposed concept of contrapositive equivalence rests upon set-based meanings for mathematical categories and…
Descriptors: Mathematical Concepts, Case Studies, Mathematics Instruction, Mathematical Logic