Does it go without saying?
Mathematical thinking in whole class discourse
Nic Mhuirí, SiúnORCID: 0000-0001-5008-5573
(2012)
Does it go without saying?
Mathematical thinking in whole class discourse.
PhD thesis, Dublin City University.
My research examines the role of mathematical thinking in whole class discourse. Initially a
study exploring the nature of discourse in some Irish primary mathematics classes was
carried out. Six recordings of mathematics lessons from four different teachers were analysed
using the Math Talk Learning Community framework (Huffed-Ackles, Fuson & Sherin,
2004) and Boaler and Brodie’s (2004) teacher question categories. Student thinking shared in
whole class discourse in these lessons seemed to be limited by the teachers’ central role as
evaluative authority and source of mathematical ideas.
The aim of the second stage of my research was to create a discourse community in my own
classroom. This involved positioning students as mathematical authorities capable of
evaluating mathematical thinking. It was envisaged that the resulting classroom discourse
would be progressive and mirror discourse at domain level (Bereiter, 1994). Thirty-one
recordings on fractions, decimals and percentage topics were collected, fourteen of which
were transcribed. Five of these lessons were analysed in the same manner as at stage 1. This
analysis showed that student thinking became an object of discussion in the teaching
experiment lessons as students commented on and evaluated the thinking of their peers. The
participation trajectories (Dreier, 1999; 2009) of ten students were tracked across the fourteen
transcribed lessons with a view to documenting students’ use o f discourse community
practices such as explaining and justifying thinking, or disagreeing with previous
contributors. Despite initial concerns over the participation o f lower achievers, this analysis
showed that all students participated in the practices of the discourse community to some
extent. However it also highlighted differences in the nature of the experience for different
individuals. 1 also interrogated my own experience as teacher-researcher to investigate the
issues involved in facilitating a discourse community. This analysis suggested that many of
the dilemmas experienced by the teacher are managed rather than resolved (Lampert, 1985)