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Exploring the integer addition and s...

Bofferding, Laura.

Exploring the integer addition and subtraction landscapeperspectives on integer thinking /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Exploring the integer addition and subtraction landscapeedited by Laura Bofferding, Nicole M. Wessman-Enzinger.
Reminder of title:	perspectives on integer thinking /
other author:	Bofferding, Laura.
Published:	Cham :Springer International Publishing :2018.
Description:	xvi, 303 p. :illustrations, digital ;24 cm.
Contained By:	Springer eBooks
Subject:	AdditionStudy and teaching (Elementary)
Online resource:	https://doi.org/10.1007/978-3-319-90692-8
ISBN:	9783319906928$q(electronic bk.)

Exploring the integer addition and subtraction landscapeperspectives on integer thinking /
Exploring the integer addition and subtraction landscapeperspectives on integer thinking /[electronic resource] :edited by Laura Bofferding, Nicole M. Wessman-Enzinger. - Cham :Springer International Publishing :2018. - xvi, 303 p. :illustrations, digital ;24 cm. - Research in mathematics education,2570-4729. - Research in mathematics education..

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.

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.

ISBN: 9783319906928$q(electronic bk.)

Standard No.: 10.1007/978-3-319-90692-8doiSubjects--Topical Terms:

822179
Addition
--Study and teaching (Elementary)

LC Class. No.: QA135.6 / .E975 2018

Dewey Class. No.: 372.7

Exploring the integer addition and subtraction landscapeperspectives on integer thinking /
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245 0 0 $a Exploring the integer addition and subtraction landscape $h [electronic resource] : $b perspectives on integer thinking / $c edited by Laura Bofferding, Nicole M. Wessman-Enzinger.
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505 0 $a 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.
520 $a 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.
650 0 $a Addition $x Study and teaching (Elementary) $3 822179
650 0 $a Subtraction $x Study and teaching (Elementary) $3 822180
650 1 4 $a Mathematics Education. $3 274700
650 2 4 $a Learning & Instruction. $3 274699
700 1 $a Bofferding, Laura. $3 822177
700 1 $a Wessman-Enzinger, Nicole M. $3 822178
710 2 $a SpringerLink (Online service) $3 273601
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856 4 0 $u https://doi.org/10.1007/978-3-319-90692-8
950 $a Education (Springer-41171)