PROCEEDINGS OF THE 18TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2015
Pittsburgh, Pennsylvania
An analysis of sociomathematical norms of proof schemes
Page: 653
We report on a case study aimed at researching the social interactions of a classroom focusing on the certainty of mathematical claims and justifications. Blending Harel and Sowder’s (1998) concept of “proof schemes” with Yackel and Cobb’s (1996) “sociomathematical norms,” we aim to expand on Fukawa-Connelly’s (2012) research on sociomathematical norms of proof presentations. Preliminary analysis of classroom interaction and student interview transcripts from a proof-based, axiomatic geometry course suggests the presence of sociomathematical norms related to argumentation that lie outside of proof validation that facilitate renegotiating proof schemes.