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Full-Text Articles in Education
How Do They Know It Is A Parallelogram? Analysing Geometric Discourse At Van Hiele Level 3, Sasha Wang, Margaret Kinzel
How Do They Know It Is A Parallelogram? Analysing Geometric Discourse At Van Hiele Level 3, Sasha Wang, Margaret Kinzel
Mathematics Faculty Publications and Presentations
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.
Examining Sociocultural Contexts Of Classrooms To Foster Student Mathematical Discourse And Learning, Melva R. Grant
Examining Sociocultural Contexts Of Classrooms To Foster Student Mathematical Discourse And Learning, Melva R. Grant
Teaching & Learning Faculty Publications
Mathematics learning and teaching are optimized in classrooms when reform-oriented culture (ROC) is present. This report presents a case study that illustrates how ROC manifested and influenced mathematical Discourses in one sixth-grade classroom. The data was drawn from a study that addressed the question: How do classroom interactions influence mathematical Discourses? The study used interpretive methodology for analysis. One finding was that classroom boundary interactions either enhanced or hindered mathematical Discourses dependent upon sociocultural context alignments. An implication of this research is when “effective” learning and/or teaching strategies are identified, “effective” implementation may require paying close attention to sociocultural context …