Description |
1 online resource : illustrations |
Series |
Mathematics education in the digital era ; volume 5 |
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Mathematics education in the digital era ; v. 5.
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Contents |
Foreword; The Digital Revolution in Society and in School ; The Cyber Youngsters ; The Immigrant Teachers, Innovation and Comfort Zone ; Are Mobile Technologies the Future? ; Preface; Contents; Chapter 1: Mathematical Problem-Solving with Technology: An Overview of the Problem@Web Project; 1.1 Introduction; 1.2 Young People with Technology; 1.3 Young People's Mathematical Problem-Solving with Technology; 1.4 The Research Focus; 1.5 The SUB12 and SUB14 Mathematics Competitions; 1.6 Methodological Issues; 1.7 Concluding Comments; References |
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Chapter 2: Youngsters Solving Mathematical Problems with Technology: Their Experiences and Productions2.1 Introduction; 2.2 The Participants in the Mathematical Competitions SUB12 and SUB14; 2.3 The Participants and the Use of Digital Technologies; 2.4 The Participants' Productions with Digital Technologies; 2.4.1 From the Use of Paper and Pencil to Writing with Word and Excel; 2.4.2 The Use of Tables; 2.4.3 The Use of Images and Diagrams; 2.4.4 The Use of Numerical Software; 2.4.5 The Use of Geometrical Software; 2.5 Concluding Comments; References |
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Chapter 3: Perspectives of Teachers on Youngsters Solving Mathematical Problems with Technology3.1 Introduction; 3.2 The Role of the Teachers in the Mathematical Competitions; 3.2.1 The Support of the Teachers: From the First Round to the Final; 3.2.2 The Social Part of the Competitions: The Meeting at the Final; 3.3 Perspectives of Teachers About the Mathematical Competitions SUB 12 and SUB14; 3.4 Mathematical Communication: An Additional Challenge; 3.5 The Use of Technology: The Sharing of Experiences Between Teachers and Students; 3.6 Overview and Conclusion; References |
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Chapter 4: Theoretical Perspectives on Youngsters Solving Mathematical Problems with Technology4.1 The Theoretical Stance; 4.2 Problem-Solving as Mathematisation; 4.3 Problem-Solving as Expressing Thinking; 4.3.1 Expository Discourse in Problem-Solving; 4.3.2 Technology Used for Expressing Thinking in Problem-Solving; 4.4 Multiple External Representations; 4.5 Humans-with-Media and Co-action with Digital Tools; 4.6 An Outlook; References; Chapter 5: Digitally Expressing Conceptual Models of Geometrical Invariance; 5.1 Main Theoretical Ideas; 5.1.1 Perceiving Affordances of Digital Tools |
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5.1.2 The Indivisibility Between the Subject and the Context5.1.3 Humans-with-Media Mathematising; 5.1.4 Mathematisation with Dynamic Geometry Software; 5.2 Context and Method; 5.3 Data Analysis; 5.3.1 The Problem: Building a Flowerbed; 5.3.2 Zooming in: The Participants' Productions; 5.3.2.1 Exhibit A: The Solution of Marta and Miguel; 5.3.2.2 Exhibit B: The Solution of Andreia, Lucas and José; 5.3.2.3 Exhibit C: The Solution of Sara; 5.3.2.4 Exhibit D: The Solution of Jessica; 5.3.3 Zooming Out: Comparing and Contrasting; 5.4 Discussion and Conclusion; References |
Summary |
This book investigates problem solving approaches to mathematical problems that youngsters use in the wake of the growing availability of digital technologies, and how these approaches can be effective and productive for their unique needs. The empirical research, conducted in the Problem@Web project, delves into the many ways in which students can achieve the solution to a mathematical problem and communicate it with the technological tools they have at their disposal, either in their home environment or in their mathematics classroom. The researchers then address the implications for the future study of a broadened perspective on mathematical problem solving with technology. In addition to exploring how technology has changed mathematical problem solving, the book also provides: A well-developed theoretical framework that integrates the use of technology into mathematical problem-solving Insightful analysis of the young participants' methods of mathematical problem solving, in addition to their teachers and families Examples of student solutions, together with the students' explanations of how they achieved their solution Youngsters Solving Mathematical Problems with Technology is an extremely valuable resource for any researcher or educator interested in mat hematics education, technology in education, or the intersection of both.> |
Bibliography |
Includes bibliographical references and index |
Notes |
Online resource; title from PDF title page (EBSCO, viewed March 24, 2016) |
Subject |
Mathematics -- Study and teaching.
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Mathematics -- Computer-assisted instruction
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Educational technology.
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Teaching of a specific subject.
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Educational equipment & technology, computer-aided learning (Calif.)
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MATHEMATICS -- Essays.
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MATHEMATICS -- Pre-Calculus.
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MATHEMATICS -- Reference.
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Educational technology
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Mathematics -- Computer-assisted instruction
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Mathematics -- Study and teaching
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Form |
Electronic book
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Author |
Jones, Keith, 1953- author.
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Amado, Nélia, author
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Jacinto, Hélia, author
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Nobre, San, author
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ISBN |
9783319249100 |
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331924910X |
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3319249088 |
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9783319249087 |
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9783319249094 |
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3319249096 |
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9783319796987 |
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3319796984 |
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