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Article
How Do They Know It Is a Parallelogram? Analysing Geometric Discourse at Van Hiele Level 3
Research in Mathematics Education
  • Sasha Wang, Boise State University
  • Margaret Kinzel, Boise State University
Document Type
Article
Publication Date
7-24-2014
Abstract

In this article, we introduce Sfard's discursive framework and use it to investigate prospective teachers' geometric discourse in the context of quadrilaterals. In particular, we focus on describing and analysing two participants' use of mathematical words and substantiation routines related to parallelograms and their properties at van Hiele level 3 thinking. Our findings suggest that a single van Hiele level of thinking encompasses a range of complexity of reasoning and differences in discourse and thus a deeper investigation of students' mathematical thinking within assigned van Hiele levels is warranted.

Copyright Statement

This is an Accepted Manuscript of an article published by Taylor & Francis Group in Research in Mathematics Education on July 24, 2013, available online at doi: 10.1080/14794802.2014.933711

Citation Information
Sasha Wang and Margaret Kinzel. "How Do They Know It Is a Parallelogram? Analysing Geometric Discourse at Van Hiele Level 3" Research in Mathematics Education (2014)
Available at: http://works.bepress.com/margaret_kinzel/11/