Discourse Perspective of Geometric Thoughts (Perspektiven der Mathematikdidaktik) - Softcover

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

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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.

Contents

• Theoretical Basis: The van Hiele Model
• Theoretical Framework: Learning as Communicating, Sfard’s Discursive Framework, and the Levels of Geometric Discourse
• Methodology: Participants, the van Hiele Geometry Test, Interview Tasks
• Data Collection and Analysis
• Results from the van Hiele Geometry Test and One-on-One Interviews
• Changes in van Hiele Levels and Changes in Geometric Discourse

Target Groups

• Researchers, academics, and scholars of mathematics and didactics
• Teachers

The Author