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Developing a creativity-in-progress rubric on proving

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PROCEEDINGS OF THE 18TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION

2015

Pittsburgh, Pennsylvania

Developing a creativity-in-progress rubric on proving

Page: 939

There is a considerable amount of mathematics education literature on creativity (e.g., Torrance, 1966; Balka, 1974; Silver, 1997), yet there is little discussion of mathematical creativity in undergraduate mathematics education. Specifically, to our knowledge, there is no literature on mathematical creativity in the proving process. We attempt to contribute to the literature by developing a framework in which to discuss mathematical creativity in proving, Creativity-in- Progress Rubric (CPR) on proving. Through previous rubrics on creativity (Leikin, 2009; Rhodes, 2010) and interviews with both mathematicians and undergraduate students, we claim that there are three aspects of creativity in proving: Making Connections, Taking Risks, and Creating Ideas. We demonstrate how to use the rubric with an example of a student’s proving process. Finally, we give future research considerations of using the rubric in proof-based classrooms.

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