ERIC Number: EJ1239582
Record Type: Journal
Publication Date: 2020-Jan
Pages: 19
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0013-1954
EISSN: N/A
Group Theory Students' Perceptions of Binary Operation
Melhuish, Kathleen; Ellis, Brittney; Hicks, Michael D.
Educational Studies in Mathematics, v103 n1 p63-81 Jan 2020
Binary operations are one of the fundamental structures underlying our number and algebraic systems. Yet, researchers have often left their role implicit as they model student understanding of abstract structures. In this paper, we directly analyze students' perceptions of the general binary operation via a two-phase study consisting of task-based surveys and interviews. We document what attributes of binary operation group theory students perceive as critical and what types of metaphors students use to convey these attributes. We found that many students treat superficial features as critical (such as element-operator-element formatting) and do not always perceive critical features as essential (such as the binary attribute). Further, these attributes were communicated across three metaphor categories: arithmetic-related, function-related, and organization-related.
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Computation, Abstract Reasoning, Student Attitudes, Figurative Language, Algebra
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A