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Student’s Attention to the Conclusion During Proofs

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PROCEEDINGS OF THE 21ST ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION

2018

San Diego, California

Student’s Attention to the Conclusion During Proofs

Page: 1678

This study investigates students’ use of conclusions to structure their proofs for a standard statement in introductory Group Theory. We surveyed 65 students across three classes asking them to evaluate the truth of a statement and provide a proof. We found students tend to use hypothesis-driven second level proof framework (rather than conclusion-driven). These students were then less likely to produce a deductive argument that aligned with the original statement. We conclude with implications for the treatment of proof analysis and proof frameworks to support students’ proving activity.

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