Education Commons^™

Growth In Students' Conceptions Of Mathematical Induction, John David Gruver

Theses and Dissertations

While proof and reasoning lie at the core of mathematical practice, how students learn to reason formally and build convincing proofs continues to invite reflection and discussion. To add to this discussion I investigated how three students grew in their conceptions of mathematical induction. While each of the students in the study had different experiences and grew in different ways, the grounded axes (triggering events, personal questions about mathematics, and personal questions about a particular solution) highlighted patterns in the narratives and from these patterns a theoretical perspective emerged. Reflection, both on mathematics in general and …