Exploring the integer addition and subtraction landscape : perspectives on integer thinking
著者
書誌事項
Exploring the integer addition and subtraction landscape : perspectives on integer thinking
（Research in mathematics education / series editors, Jinfa Cai, James Middleton）
Springer International Publishing AG, c2018
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Over the past few decades there has been increased interest in how students and teachers think and learn about negative numbers from a variety of perspectives. In particular, there has been debate about when integers should be taught and how to teach them to best support students' learning. This book brings together recent work from researchers to illuminate the state of our understanding about issues related to integer addition and subtraction with a goal of highlighting how the variety of perspectives support each other or contribute to the field in unique ways.
In particular, this book focuses on three main areas of integer work: students' thinking, models and metaphors, and teachers' thinking. Each chapter highlights a theoretically guided study centered on integer addition and subtraction. Internationally known scholars help connect the perspectives and offer additional insights through section commentaries. This book is an invaluable resource to those who are interested in mathematics education and numerical thinking.
目次
Chapter1: Playing with Integer Concepts: A Quest for Structure.- Chapter2: Integer Play and Playing with Integers.- Chapter3: Students' Thinking about Integer Open Number Sentences.- Chapter4: Teaching Integers to Students with Disabilities: Three Case Studies.- Chapter5: Take it Away or Walk the Other Way? Finding Positive Solutions for Integer Subtraction.- Chapter6: Different Differences: Metaphorical Interpretations of 'Difference' in Integer Addition and Subtraction.- Chapter7: Challenges of Promoting Conceptual Change with Instructional Contexts.- Chapter8: Nuances of Prospective Teachers' Interpretations of Integer Word Problems.- Chapter9: Prospective Teachers' Attention to Children's Thinking about Integers, Temperature, and Distance.- Chapter10: Using Models and Representations: Exploring the Chip Model for Integer Subtraction.- Chapter11: Commentary on Chapters 1 to 3 - Using Meaningful Analogies to Reflect on and Make Sense of Integers.- Chapter12: Commentary on Chapters 4 to 7 - Students' Learning of Integer Addition and Subtraction using Models.- Chapter13: Commentary on Chapters 8 to 10 - Teachers' Knowledge and Flexibility: Understanding the Roles of Didactical Models and Word Problems in Teaching Integer Operations.- Chapter14: Reflecting on the Landscape: Concluding Remarks.
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