Discourse Perspective of Geometric Thoughts

Sasha Wang revisits the van Hiele model of geometric thinking with Sfards 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 Sfards 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.