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Sheena Tan – For the Learning of Mathematics, 2025
The research on mathematical argumentation has mainly adopted a dialectic lens which focuses on understanding the abstract and logical development of reasoning in argumentation. However, this approach may have overlooked other key aspects of mathematical argumentation, including the unfolding of the meaning-making experience and process during…
Descriptors: Dialogs (Language), Mathematics Instruction, Mathematics Skills, Persuasive Discourse
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Dooley, Thérèse; Grimes, Paul – For the Learning of Mathematics, 2023
In this article, we analyse a script of an imagined classroom interaction from the perspectives of politeness and positioning. The script was written by a prospective teacher, Cara, as part of her Lesson Play. The Lesson Play was prompted by her reflection on how the needs of students who are disaffected with mathematics might be met, an issue…
Descriptors: Mathematics Instruction, Classroom Communication, Lesson Plans, Preservice Teachers
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Dawkins, Paul Christian – For the Learning of Mathematics, 2012
Weber and Alcock's (2004, 2009) syntactic/semantic framework provides a useful means of delineating two basic categories of proof-oriented activity. They define their dichotomy using Goldin's (1998) theory of representation systems. In this paper, I intend to clarify the framework by providing criteria for classifying student reasoning into…
Descriptors: Semantics, Syntax, Models, Mathematical Logic