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Titlebook: Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof; Kristen N. Bieda,AnnaMarie Conner,Megan Staples Book

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Justification in the Context of Middle Grades: A Process of Verification and Sense-Makingh indicates that students receive little opportunity to engage in justification activities for various reasons. In this chapter, we sought to describe the justification process that unfolded during one middle-grade classroom lesson and identify elements that supported this process. To do so, we pars
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Proof in the Context of Middle Grades: Can We Label Middle School Arguments as Proof with a Capital scussion of this definition and a rubric developed from the definition. Data from our own project are included to illustrate the possibilities for proof and proving in middle grades. We found that middle-grade students demonstrate some practices associated with proof and proving and recommend exposi
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Overview of High School-Level Data US-based high school classroom with ninth-grade students (ages 14–15). The lesson focused on finding a formula for the sum of the interior angles of any polygon. The context of the lesson and an overview of the whole-class discussion are described.
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Argumentation in the Context of High School Mathematics: Examining Dialogic Aspects of Argumentationn the process of making mathematical claims and providing evidence to support them. I analyzed the provided data for students’ dialogic and justifying moves and investigated how the teacher supported argumentation. I found that the students’ dialogic moves included elaborating and commenting on peer
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Proof in the Context of High School: A First Approach Through Discussion, with Occasions and Missed rinciple convey the concept of proof as a cluster, in the sense of Weber (Proceedings of the Joint Meeting of PME 38 and PME-NA 36. PME, Vancouver, Canada, 2014), the analysis shows that not all the potentialities were caught during the class discussion. Theoretical tools concerning the role of the
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