Discourse Perspective of Geometric Thoughts [Paperback]

SashaWang revisits the van Hiele model of geometric thinking with Sfards discursiveframework to investigate geometric thinking from a discourse perspective. Theauthor focuses on describing and analyzing pre-service teachers geometricdiscourse across different van Hiele levels. The explanatory power of Sfardsframework provides a rich description of how pre-service teachers think in thecontext of quadrilaterals. It also contributes to our understanding of humanthinking that is illustrated through the analysis of geometric discourseaccompanied by vignettes.TheoreticalBasis: The van Hiele Model.- Theoretical Framework: Learning as Communicating,Sfards Discursive Framework, and the Levels of Geometric Discourse.- Methodology:Participants, the van Hiele Geometry Test, Interview Tasks.- Data Collectionand Analysis.- Results from the van Hiele Geometry Test and One-on-OneInterviews.- Changes in van Hiele Levels and Changes in Geometric Discourse.Dr.Sasha Wang is an assistant professor of mathematics education at the BoiseState University, Idaho, United States.

Sasha Wang revisits the vanHiele model of geometric thinking with Sfards discursive framework toinvestigate geometric thinking from a discourse perspective. The author focuseson describing and analyzing pre-service teachers geometric discourse acrossdifferent van Hiele levels. The explanatory power of Sfards framework providesa rich description of how pre-service teachers think in the context ofquadrilaterals. It also contributes to our understanding of human thinking thatis illustrated through the analysis of geometric discourse accompanied byvignettes.

Contents

• Theoretical Basis: The van Hiele Model
• Theoretical Framework: Learning as Communicating, Sfards Discursive Framework, and the Levels of Geometric Discourse
• Methodology: Parló-