Discourse Perspective of Geometric Thoughts

by Sasha Wang

Overview

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.

Product Details

ISBN-13:	9783658128043
Publisher:	Springer Fachmedien Wiesbaden
Publication date:	03/23/2016
Series:	Perspektiven der Mathematikdidaktik
Edition description:	1st ed. 2016
Pages:	232
Product dimensions:	5.83(w) x 8.27(h) x (d)

About the Author

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

Table of 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.