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- W3084153373 abstract "Abstract Homomorphism is a critical variety of function in undergraduate Abstract Algebra (AA) courses and function is one of the unifying concepts across many mathematical subject areas. However, despite homomorphism’s important place in the curriculum and its existence as a particular type of function, little is known of a student’s concept image of functions at advanced levels and the role this concept image may play in a students’ homomorphism-related activities. In this paper, we share cases that explore students’ concept image and treatment of functions at the undergraduate AA level. In particular, we focus on coherence of prior function understanding and functions in AA (homomorphisms), and how this coherence may account for student activity in tasks related to homomorphism. Our results reflect that even at the AA level, students may have limited concept images of functions and their understanding of function (and coherence with homomorphism) can serve as a support or obstacle to task performance in AA. We suggest that both instructors and researchers explicitly attend to the role of function and function understanding in student activity at advanced levels." @default.
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- W3084153373 date "2020-12-01" @default.
- W3084153373 modified "2023-09-23" @default.
- W3084153373 title "Abstract algebra students’ evoked concept images for functions and homomorphisms" @default.
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- W3084153373 doi "https://doi.org/10.1016/j.jmathb.2020.100806" @default.
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