The Notion of Proof in the Context of Elementary School Mathematics

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Understanding and describing mathematical knowledge for teaching: knowledge about proof for engaging students in the activity of proving (2008, background): “The reader is referred to Stylianides (2007b) for further elaboration on the aforementioned definitions of proof and proving, exemplification of their applicability in school mathematics as early as the elementary grades, and illustration of their utility in studying the role of teachers in engaging”
Proof and Proving in School Mathematics (2007, methodology): “3 The first two characteristics of the definition correspond, respectively, to the following two principles of the theoretical framework for conceptualizing the notion of proof in school mathematics that I proposed elsewhere (A. Stylianides, 2007 ): (1) the intellectual-honesty principle, which sta”
Reasoning-and-proving opportunities in elementary mathematics textbooks (2014, background): “We acknowledge that an important component of Stylianides’ (2007) definition is that it emphasizes the knowledge and beliefs of the classroom community in determining whether a mathematical argument was a proof within the classroom context.”