Joubert, M. (Ed.) Proceedings of the British Society for Research into Learning Mathematics 29(3) November 2009
From Informal Proceedings 29-3 (BSRLM) available at bsrlm.org.uk © the author - 55
Simon Says: Direction in Dialogue
Jenni Ingram, Mary Briggs and Peter Johnston-Wilder
University of Warwick
There has been a steady increase in the quantity of mathematics education research
focusing on language, discourse and interaction. A wide variety of theoretical
frameworks and methodological approaches have been taken including discursive
psychology, commognition, and discourse analysis. This paper explores the use of a
conversation analysis approach to analyzing interactions in mathematics classrooms. In
particular what this approach can tell us about the structure of interactions and the use of
repair in the negotiation of mathematical meanings.
Keywords: classroom discourse, conversation analysis, repair
Introduction and Background
Several authors have focused on language, discourse and communication in the mathematics
education literature over the past twenty years. Some authors have explored the relationship
between discourse and identity (Boaler, Wiliam and Zevenbergen 2000, Lee 2006), beliefs
about mathematics and beliefs about teaching and learning. Others have focused on
interactional strategies and the implications of these for the learning of mathematics
(O'Connor and Michaels 1993). More recently, Sfard (2007) has proposed a theoretical
framework which conceptualises learning mathematics as a transformation and extension of
learner’s discourse. This “commognitive” framework treats a learner’s discourse as the object
of learning and not just the means of learning, raising the importance of research on
mathematics classroom discourse.
There are many methodological approaches available in the research on discourse:
discourse analysis including systemic functional linguistics, critical discourse analysis,
discursive psychology and conversation analysis to name a few. This paper explores the
conversation analytic approach as a means of explicating the complexity of interaction in the
classroom setting.
After outlining the conversation analysis methodology the notion of repair is explored
in the context of two extracts taken from transcripts of whole-class interactions. Differences
in the organisation of repair between the classroom contexts and everyday conversation are
then examined and the implications these differences have on the learning of mathematics are
discussed.
Conversation analysis
The origins of conversation analysis lie in the analysis of naturally occurring conversation but
have been extended to include the analysis of institutional settings such as courtrooms and
emergency help lines (see Drew and Heritage 1992 for more examples). McHoul (1990) used
a conversation analysis approach in his study of geography classrooms and Seedhouse (1996)
offers an in-depth analysis of second language classrooms.
Conversation analysis (CA) as a methodology assumes that interaction is structurally
organised and the goal of CA is the exposition of this structure from the perspective of the
participants themselves (Levinson 1983). Consequently, claims about the existence of