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How the Math Gets Done: Why Parents Don't Need to Worry about New vs. Old Math

How the Math Gets Done: Why Parents Don't Need to Worry about New vs. Old Math

          
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About the Book

How the Math Gets Done: Why Parents Don't Need to Worry About New vs. Old Math provides a roadmap to understanding what the symbols for math operations (add, subtract, multiply, and divide) really mean, what the clues are to interpret these symbols, and a kind of short story of how they evolved over time. to decipher the enigmatic squiggles of those verbs called operations. How the Math Gets Done: Why Parents Don't Need to Worry About New vs. Old Math compares the old and the new methods for math procedures from a “Big Idea” perspective by organizing the information in four sections: Definition, Organization, Relationships and Patterns, and Connections. Each section contains three chapters that clarify the issues related to each “Big Idea” section. The Conclusion offers parents even more hints and guidelines to help their child through this “math country” of procedures for calculating in math.

Table of Contents:
Foreword Preface Introduction Part I. Definition 1. Math According to Jen, Bobby, and Others Jen’s Deductions Bobby’s Experience with Multiplication and Number Arrangements Children’s Descriptions About Making Sense Trevor and Jim Invent Their Own Multiplication Methods Keep in Mind 2. Math Grammar of Nouns, Verbs, and Stories “Putting Together” Verbs for Addition and Multiplication “Taking Apart” Verbs for Subtraction and Division A Short Interlude About the Use of that Negative Sign Word Problems Put Math Verbs in Stories Keep in Mind 3. A Choice between Two Rs – Rote Memorization or Reasoning Sound Bites That Bite Back Memorization vs. Organization Acronyms - Sense or Nonsense Keep in Mind Part II. Organization 4. In Search of Like Terms, Classification Revisited Like Terms, Common Denominators, and Same Units Place Value Columns Have Like Terms Categories What’s Wrong with this Picture? Adding Percentages A Note About Multiplication and Division Keep in Mind 5. Artful Assembly of Operations Facts, Frogs, and Formats Jackie’s Thinking About Number Operations James, Janie, and Napier’s Lattice Multiplication Division Interpretations That Made Sense Keep in Mind 6. Same Math, Same Meaning, Different Organization – New vs. Old “If It Ain’t Broke, Don’t Fix It.” Multiplication Organization Sense Digit Alignment Continues Zeke, Jake, and Long Division Keep in Mind Part III. Relationships and Patterns 7. “Seeing” Math Patterns with Viewfinders Multiplication Table Patterns Addition Table Patterns Kathy’s and Rudy’s Fraction Viewfinders Keep in Mind 8. Spelunking for Patterns with More Viewfinders Reflections on Addition and Multiplication Subtraction, Division, and Missy’s “Different Family” A Few Rules of Engagement for Working with Numbers Keep in Mind 9. Functions, Predictability, and Balance Predictability and Functions One Answer or Many Answers, Same Balance Keep in Mind Part IV. Connections 10. A Multiplication Area Image for the Ages From Theon to Dienes – A Bridge Across the Centuries Same Design for Mixed Numbers, Fractions and Decimals Visual-Spatial Multi-Digit Multiplication Keep in Mind 11. Ratios, Proportions, and Rate of Change Fractions as Gatekeepers David’s Decluttering Fractions Changing Numbers, Changing Locations, and Moving Targets in Proportions Slope as a Rate of Change Keep in Mind 12. Algebraic Thinking The Shapes for an Algebra Transition From Multiplication Tables to Coordinate Tables Jill’s Graphic Solutions F.O.I.L.’ed Again Keep in Mind Conclusion: What Parents Can Do Problem Solving Beyond Word Problems Right Tool for the Right Job - A Hard Look At Technology Keep in Mind Glossary References About the Author


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Product Details
  • ISBN-13: 9781475834222
  • Publisher: Bloomsbury Publishing PLC
  • Publisher Imprint: Rowman & Littlefield Publishers
  • Height: 264 mm
  • No of Pages: 158
  • Spine Width: 16 mm
  • Weight: 498 gr
  • ISBN-10: 1475834225
  • Publisher Date: 25 Oct 2017
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Sub Title: Why Parents Don't Need to Worry about New vs. Old Math
  • Width: 183 mm


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