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An analysis of opportunities for reasoning-and-proving in a university precalculus textbook

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PROCEEDINGS OF THE 23RD ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION

2020

Boston, Massachusetts

An analysis of opportunities for reasoning-and-proving in a university precalculus textbook

Page: 234

In this study, we provide an analysis of opportunities for undergraduate students to engage in the skill of reasoning-and-proving in a precalculus textbook in a medium-sized university in North Eastern USA. To investigate these opportunities, we focused our analysis on the frequency and nature of reasoning-and-proving opportunities available in both the exercises and narrative section of the book. Findings indicate that there were more reasoning-and-proving opportunities in the narrative section of the book than in the student exercises section. Furthermore, the opportunities in the student exercises section were predominantly of the particular nature while those in the narrative section were general. Implications of these findings are discussed.

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