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Analyzing students’ understandings of isomorphism

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PROCEEDINGS OF THE 22ND ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION

2019

Oklahoma City, Oklahoma

Analyzing students’ understandings of isomorphism

Page: 308

The purpose of this study is to analyze student understanding of isomorphism as it is taught in a university level mathematics course. We collected and studied student responses to course assignments covering the concept of isomorphism. The findings of this study support previous research that suggests student understanding of isomorphism is largely reliant on an imaged-based concept of symmetry. We found that student understanding is supported by an image-based radical constructivist approach and detail the techniques students use when first working with isomorphic mappings.

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