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Rupnow, Rachel; Randazzo, Brooke – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
Isomorphism and homomorphism appear throughout abstract algebra, yet how algebraists characterize these concepts, especially homomorphism, remains understudied. Based on interviews with nine research-active mathematicians, we highlight new sameness-based conceptual metaphors and three new clusters of metaphors: sameness/formal definition, changing…
Descriptors: Mathematics Instruction, Teaching Methods, Algebra, Concept Formation