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Titlebook: Advances in Mathematics Education Research on Proof and Proving; An International Per Andreas J. Stylianides,Guershon Harel Book 2018 Sprin

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期刊全称Advances in Mathematics Education Research on Proof and Proving
期刊简称An International Per
影响因子2023Andreas J. Stylianides,Guershon Harel
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发行地址Presents an extensive survey of international perspectives on proof and proving students’ mathematics progress.Serves as a comprehensive volume addressing a wide range of issues related to proof and p
学科分类ICME-13 Monographs
图书封面Titlebook: Advances in Mathematics Education Research on Proof and Proving; An International Per Andreas J. Stylianides,Guershon Harel Book 2018 Sprin
影响因子.This book explores new trends and developments in mathematics education research related to proof and proving, the implications of these trends and developments for theory and practice, and directions for future research. With contributions from researchers working in twelve different countries, the book brings also an international perspective to the discussion and debate of the state of the art in this important area. . . The book is organized around the following four themes, which reflect the breadth of issues addressed in the book: . . •    Theme 1: Epistemological issues related to proof and proving; . •    Theme 2: Classroom-based issues related to proof and proving; . •    Theme 3: Cognitive and curricular issues related to proof and proving; and . •    Theme 4: Issues related to the use of examples in proof and proving.. . Under each theme there are four main chapters and a concluding chapter offering a commentary on the theme overall..
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978-3-319-89025-8Springer International Publishing AG 2018
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The Late Stage of Abnormal Aging: Dementiarst is the one discussed in the philosophy of mathematics, in which a proof is considered explanatory when it helps account for a mathematical fact, clarifying why it follows from others. It is concerned with intra-mathematical factors, not with pedagogical considerations. The second definition is t
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Dandan Wang,Zhihao Tang,Jiawei Zhao,Peng Lund Cantor (Cauchy sequences), and the associated proofs of its completeness. In addition, we present two contrasting constructions leaning on decimal expansions. Our analysis points out that Dedekind’s construction fosters a conceptualization of the real numbers leaning strongly on the total orderin
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Cognitive Analysis of Social Behaviorers how Mathematical Practice can inform Pedagogy (MPP) research. We use these chapters to begin a discussion on what factors mathematics educators should consider when producing and evaluating MPP research. Each chapter seeks to inform mathematics education using the philosophy or history of mathem
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Introduction: What This Book Is, and Is Not,e design of interventions to address these difficulties. In this chapter we highlight the need for more research on classroom-based interventions in the area of proof, and we discuss what might be important characteristics of interventions that specifically aim to address key and persistent problems
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