Discourse Perspective of Geometric Thoughts (Perspektiven der Mathematikdidaktik)

Sasha Wang revisits the van Hiele model of geometric thinking with Sfard’s discursive framework to investigate geometric thinking from a discourse perspective. The author focuses on describing and analyzing pre-service teachers’ geometric discourse across different van Hiele levels. The explanatory power of Sfard’s framework provides a rich description of how pre-service teachers think in the context of quadrilaterals. It also contributes to our understanding of human thinking that is illustrated through the analysis of geometric discourse accompanied by vignettes.

Dr. Sasha Wang is an assistant professor of mathematics education at the Boise State University, Idaho, United States.