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

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...

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Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Research in Mathematics Education,
Témata:
Mathematics-Study and teaching .
Learning.
Instruction.
ISBN:9783319906928
ISSN:2570-4729
On-line přístup: Získat plný text
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Obsah:
  • 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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