RUME 26
2024
Omaha, Nebraska
Affordances of Semantic and Syntactic Proof Approaches for Isomorphism and Homo-morphism
Page: 18
Group isomorphism and homomorphism are core concepts in abstract algebra, but limited work has directly examined student conceptions of homomorphism or how students approach finding particular mappings. Based on interviews with two students, we contrast one student who used predominantly syntactic proof approaches for homomorphism with one who used semantic approaches, noting that both experienced success in finding homomorphisms in most cases.