Unpacking Fractions
eBook - PDF

Unpacking Fractions

Classroom-Tested Strategies to Build Students' Mathematical Understanding

  1. 286 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Unpacking Fractions

Classroom-Tested Strategies to Build Students' Mathematical Understanding

About this book

For years, the teaching and learning of fractions has been associated with rote memorization. But this mechanical approach to instruction—which strips students of an ability to reason or make sense of math—has resulted in a failure of understanding.

Author Monica Neagoy, drawing on decades of research studies, evidence from teacher practice, and 25 years of experience working around the world with teachers, students, and parents, addresses seven big ideas in the teaching and learning of fractions in grades 2–6. Each idea is supported by a vignette from a real classroom, common misconceptions, a thorough unpacking of productive mathematical thinking, and several multistep and thought-provoking problems for teachers to explore.

She offers three fundamental reasons why it's imperative for us to take a closer look at how we teach fractions:

  • Fractions play a key role in students' feelings about mathematics.
  • Fractions are fundamental to school math and daily life.
  • Fractions are foundational to success in algebra.

While a solid grounding in algebra is necessary for a STEM career, the worthy goal of "algebra for all" will not be possible until "fractions for all" is a reality. Unpacking Fractions provides teachers with concrete strategies for achieving that reality—in short, helping all students gain the knowledge they need to feel at ease with fractions.

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Yes, you can access Unpacking Fractions by Monica Neagoy in PDF and/or ePUB format, as well as other popular books in Education & Teaching Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
ASCD
Year
2017
Print ISBN
9781416621232
eBook ISBN
9781416621256
Edition
1

Table of contents

  1. Foreword
  2. Introduction—The Challenge of Fractions
  3. What Can You Expect from This Book?
  4. CHAPTER 1—Convey the Many Meanings of a/b
  5. CHAPTER 2—Use Visual and Tactile Models
  6. Unpacking the Mathematical Thinking
  7. Targeting Misconceptions with Challenging Problems
  8. Maya’s Story, Part 2
  9. Recognizing Misconceptions
  10. Unpacking the Mathematical Thinking
  11. Targeting Misconceptions with Challenging Problems
  12. Maya’s Story: Epilogue
  13. CHAPTER 3—Focus on the Unit
  14. Ed’s Story
  15. Recognizing Misconceptions
  16. Unpacking the Mathematical Thinking
  17. Targeting Misconceptions with Challenging Problems
  18. Two Vignettes
  19. Recognizing Misconceptions
  20. Unpacking the Mathematical Thinking
  21. Targeting Misconceptions with Challenging Problems
  22. A Final Note
  23. CHAPTER 4—Teach the Concept of Equivalence (Not Just the Rule)
  24. Lisa’s Story
  25. Recognizing Misconceptions
  26. Unpacking the Mathematical Thinking
  27. Targeting Misconceptions with Challenging Problems
  28. CHAPTER 5—Compare and Order Fractions Meaningfully
  29. Nicole’s Story
  30. Recognizing Misconceptions
  31. Unpacking the Mathematical Thinking
  32. Targeting Misconceptions with Challenging Problems
  33. CHAPTER 6—Let Algorithms Emerge Naturally