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Towers, Jo; Martin, Lyndon C. – ZDM: The International Journal on Mathematics Education, 2015
In this paper, we trace the development of our theorizing about students' mathematical understanding, showing how the adoption of an enactivist perspective has transformed our gaze in terms of the objects of our studies and occasioned for us new methods of data analysis. Drawing on elements of Pirie-Kieren (P-K) Theory for the Dynamical Growth of…
Descriptors: Mathematics Education, Cognitive Processes, Data Analysis, Research Methodology
Lack, Brian – ProQuest LLC, 2010
The vision of K-12 standards-based mathematics reform embraces a greater emphasis on students' ability to communicate their understandings of mathematics by utilizing adaptive reasoning (i.e., reflection, explanation, and justification of thinking) through mathematics discourse. However, recent studies suggest that many students lack the…
Descriptors: Student Participation, Grade 6, Mathematics Instruction, Elementary Education