Exploring the Nature of Dialogue within South African Pre-service Teachers’ Calculus Lecture Rooms

Abstract

This paper seeks to explore the nature of dialogue within calculus lecture rooms. This paper reports on part of a larger study, in which the participants were two lecturers lecturing to 198 third year pre-service teachers at a University in South Africa. This qualitative interpretive study was framed within the ambits of social constructivism and aspects of Mortimer and Scott’s framework were used to analyse dialogue in the lecture room. Data for this paper were generated through video-recorded lecture observations. Subsequently, a qualitative data analysis of the generated data revealed that dialogue within the calculus lecture rooms under study may be in the form of explanations and questioning. Questioning included questions that assess students’ prior knowledge, probing, follow-up and guiding questions. The findings of this study are of value to both lecturers and students within higher education with implications for teaching and learning mathematics within higher education are presented.

Keywords:

• Calculus
• dialogue
• explanation
• mathematics
• questioning

ORCID

Jayaluxmi Naidoo http://orcid.org/0000-0003-3433-5354