Proceedings of the International Group for the Psychology of Mathematics Education · Volume 1
Irma E. Stevens, Elizabeth Kimber, Kevin C. Moore
University of Oxford
⬇ Download PDFQuantitative and covariational reasoning are crucial for understanding graphs and relationships between varying quantities in secondary and undergraduate mathematics. Research on covariational reasoning has led to a fine-grained classification of quantitative and covariational reasoning. While much of this research draws on analysis of students’ spoken and written responses to tasks, the language in these responses has rarely been analysed from a linguistic perspective. This study combines analysis of quantitative and covariational reasoning with systemic functional linguistics (SFL). We identify linguistic features of descriptions of change that foreground simultaneous change of variables and how these changes are unfolding as students account for graph shape and unpack relationships between quantities.
covariational reasoningsystemic functional linguisticsgraphing