PROCEEDINGS OF THE 18TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2015
Pittsburgh, Pennsylvania
Knowledge for teaching: Horizons and mathematical structures
Page: 1032
In this study we use the lens of knowledge at the mathematical horizon to shed light on the underlying structural components of school mathematics content. We attend specifically to algebraic structures, identifying ways in which awareness of such structure may be transformative to mathematical knowledge for teaching. In particular, we analyze curricular content from elementary, middle, and secondary school mathematics with respect to the inherent structures that encompass and connect that material, as well as with specific attention to the opportunities afforded to teachers by their horizon.