Future teachers often claim that advanced undergraduate courses, even those that attempt to connect to school mathematics, are not useful for their teaching. This paper proposes a new way of designing advanced undergraduate content courses for secondary teachers. The model involves beginning with an analysis of the curriculum and practices of…

Algebraic structures are a necessary aspect of algebraic thinking for K-12 students and teachers. An approach for introducing the algebraic structure of groups and fields through the arithmetic properties required for solving simple equations is summarized; the collective (not individual) importance of these axioms as a foundation for algebraic…

The content coursework of preservice secondary mathematics teachers (PSMTs) is a current topic of concern in both the mathematics and education fields. There is a need to determine the knowledge and dispositions necessary to teach secondary mathematics and how coursework can help PSMTs develop the appropriate knowledge and dispositions. In…