Education Commons^™

Conventionalizing And Axiomatizing In A Community College Mathematics Bridge Course, Mark Alan Yannotta

Dissertations and Theses

This dissertation consists of three related papers. The first paper, Rethinking mathematics bridge courses--An inquiry model for community colleges, introduces the activities of conventionalizing and axiomatizing from a practitioner perspective. In the paper, I offer a curricular model that includes both inquiry and traditional instruction for two-year college students interested in mathematics. In particular, I provide both examples and rationales of tasks from the research-based Teaching Abstract Algebra for Understanding (TAAFU) curriculum, which anchors the inquiry-oriented version of the mathematics bridge course.

The second paper, the role of past experience in creating a shared representation system for a mathematical operation: …