Although lecture is the traditional method of university mathematics instruction, there has been little empirical research that describes the structure of lectures. In this paper, we apply ideas from narrative analysis to an upper-level mathematics lecture. We develop a framework that enables us to conceptualize the lecture as consisting of…

This research study investigates how pre-service teachers integrate statistical content, students' thinking, and pedagogy as they examine how 11- to 12-year olds develop mathematically. The findings provide insights into: a) how pre-service teachers identify some of the difficulties that students commonly have, and b) what pedagogical approaches…

This paper reports ongoing research investigating how students' experiences with the notion of tangent line in different lecture courses at a technical school are being integrated to the related mathematical concept. Focusing on a technical course case study, we examine how aspects of the notion of tangent line are related to features of the…