The purpose of this study was to investigate the relationship between instructional design and classroom discourse as implemented by a mathematics teacher. The instructional design in this study distinguished three different types of discussions--framing, conceptual, and application--based on their sequential position, their purpose, the…

This article presents results from an empirical study of how student engagement is visible during introductory algebra. Previously, the notion of engagement in mathematics has been studied from students' and researchers' perspectives. This study is instead focused on teachers' perspectives on student engagement. Eight teachers in grade 6-7 have…

This chapter argues that for the science of learning to become a fully "human" science, it needs to move from viewing learning from an exogenous perspective to an endogenous one. Taken from Latin, the term "endogenous" translates roughly to "from within," and in the meaning the author gives to it here, it refers to a perspective on learning from…