Exploring the Integer Addition and Subtraction Landscape Perspectives on Integer Thinking /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bofferding, Laura (Editor, http://id.loc.gov/vocabulary/relators/edt), Wessman-Enzinger, Nicole M. (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Research in Mathematics Education,
• Subjects: Mathematics-Study and teaching .; Learning.; Instruction.; Mathematics Education.; Learning & Instruction.

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. Thi...

Table of Contents:

• 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.