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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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发表于 2025-3-21 16:36:08 | 显示全部楼层 |阅读模式
书目名称Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof
编辑Kristen N. Bieda,AnnaMarie Conner,Megan Staples
视频video
概述Advances understandings of definitions of argumentation, justification, and proof in classroom practice.Illustrates the importance of theoretical frameworks through analysis of classroom data from gra
丛书名称Research in Mathematics Education
图书封面Titlebook: Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof;  Kristen N. Bieda,AnnaMarie Conner,Megan Staples Book
描述.This book aims to advance ongoing debates in the field of mathematics and mathematics education regarding conceptions of argumentation, justification, and proof and the consequences for research and practice when applying particular conceptions of each construct. Through analyses of classroom practice across grade levels using different lenses - particular conceptions of argumentation, justification, and proof - researchers consider the implications of how each conception shapes empirical outcomes. In each section, organized by grade band, authors adopt particular conceptions of argumentation, justification, and proof, and they analyse one data set from each perspective. In addition, each section includes a synthesis chapter from an expert in the field to bring to the fore potential implications, as well as new questions, raised by the analyses. Finally, a culminating section considers the use of each conception across grade bands and data sets.      .
出版日期Book 2022
关键词mathematical argumentation; mathematical justification; mathematical proofs; classroom-based research; a
版次1
doihttps://doi.org/10.1007/978-3-030-80008-6
isbn_softcover978-3-030-80010-9
isbn_ebook978-3-030-80008-6Series ISSN 2570-4729 Series E-ISSN 2570-4737
issn_series 2570-4729
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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https://doi.org/10.1007/978-3-030-69299-5le sum of a polygon was accurate because their multiple approaches (e.g., measuring, making a table, dividing the polygon into triangles) all led to the same results. We also found that the broad view of justification in the given definition captured situations for both explanation and justification
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Justification in the Context of Middle Grades: A Process of Verification and Sense-Makingby-step proceduralization of the justification process provided all students with access to the task, it may have limited sensemaking opportunities or given students a false account of what it means to justify. Recognizing that the transcript only provided a snapshot of one classroom episode, we off
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Argumentation in the Context of High School Mathematics: Examining Dialogic Aspects of Argumentationelaborating each other’s ideas. On the other hand, use of an authoritative approach appeared to constrain students’ possibilities to provide support for claims. Considering dialogic aspects enriches the analysis or argumentation when argumentation is understood as a process as emphasized in the defi
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Conceptions and Consequences of Mathematical Argumentation, Justification, and Proof
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2570-4729 tical frameworks through analysis of classroom data from gra.This book aims to advance ongoing debates in the field of mathematics and mathematics education regarding conceptions of argumentation, justification, and proof and the consequences for research and practice when applying particular concep
发表于 2025-3-23 06:46:09 | 显示全部楼层
https://doi.org/10.1007/978-1-349-22133-2ir content knowledge. Justification can also be used as a tool to open access to various forms of mathematical reasoning. In this chapter, we explore what justifications were shared in a second-grade classroom and how they were or were not leveraged to provide access to students’ mathematical reasoning.
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