Exploring the Integer Addition and Subtraction Landscape

Perspectives on Integer Thinking

  • Laura Bofferding
  • Nicole M. Wessman-Enzinger

Part of the Research in Mathematics Education book series (RME)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Beginning the Journey: Children’s Thinking About Integer Addition and Subtraction

    1. Front Matter
      Pages 1-1
    2. Laura Bofferding, Mahtob Aqazade, Sherri Farmer
      Pages 3-23
    3. Nicole M. Wessman-Enzinger
      Pages 25-46
    4. Jessica P. Bishop, Lisa L. Lamb, Randolph A. Philipp, Ian Whitacre, Bonnie P. Schappelle
      Pages 47-71
  3. Multiple Pathways: Models and Metaphors for Integer Addition and Subtraction

  4. Guiding the Journey: (Prospective) Teachers’ Thinking About Integer Addition and Subtraction

    1. Front Matter
      Pages 189-189
    2. Laura Bofferding, Nicole M. Wessman-Enzinger
      Pages 191-212
    3. Jennifer M. Tobias, Nicole M. Wessman-Enzinger, Dana Olanoff
      Pages 213-230
  5. Commentaries

  6. Back Matter
    Pages 297-303

About this book


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. 


Integers Negative numbers Negative integers Integer models Integer contexts Addition Subtraction Student thinking Integer operations Teaching integers

Editors and affiliations

  • Laura Bofferding
    • 1
  • Nicole M. Wessman-Enzinger
    • 2
  1. 1.Department of Curriculum and InstructionPurdue UniversityWest LafayetteUSA
  2. 2.School of EducationGeorge Fox UniversityNewbergUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Education Education (R0)
  • Print ISBN 978-3-319-90691-1
  • Online ISBN 978-3-319-90692-8
  • Series Print ISSN 2570-4729
  • Series Online ISSN 2570-4737
  • Buy this book on publisher's site