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A continued exploration of self - inquiry in the context of proof and problem solving

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PROCEEDINGS OF THE 20TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION

2017

San Diego, California

A continued exploration of self - inquiry in the context of proof and problem solving

Page: 1225

Self-inquiry is the process of posing questions to oneself while solving a problem. The authors’previous work has explored the self-inquiry of undergraduate mathematics majors and amathematics professor. Student self-inquiry was explored via structured interviews requiring thesolution of both mathematical and non-mathematical problems. The professor’s self-inquiry wasexplored through self-reporting of questions asked in an advanced problem-solving context.Using transcripts of the student interviews, a coding scheme for questions posed was developedand extended after coding the professor’s self-inquiry. Previous results will again be highlightedhere but will be followed by a discussion of self-inquiry in the context of an introduction tomathematical proof course. Data from the introduction to proof course is being collected andwill be analyzed using the already developed coding scheme. This analysis will be compared andcontrasted to previous self-inquiry results and we will present questions about possible futuredirections for exploring self-inquiry.

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