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
Dr. Sasha Wang is an assistant professor of
mathematics education at the Boise State University, Idaho, United States. 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. Publication in the field of mathematics education Includes supplementary material: sn.pub/extras
Autor*in
Sasha Wang
Themen in »Discourse Perspective of Geometric Thoughts«