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

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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.

FORMATHardcover LANGUAGEEnglish CONDITIONBrand New Publisher Description

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 Mathcompares 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.

Author Biography

Catheryne Draper has been learning from her students for over half a century of teaching, supervising the math program in a school district, advising math education at the state level, coaching math in schools, and presenting math workshops for teachers.She is the author of The Algebra Game, a hands-on multi-deck algebra program in four topics covering Linear Graphs, Quadratic Equations, Conic Sections, and Trig Functions that allows students to work together in cooperative groups, or individually, to identify the algebra relationships and patterns in the each topic and in the organization across the topics. In addition to contributing many published articles, Draper is also the author of Winning the Math Homework Challenge: Insights for Parents To See Math Differently and User-Friendly Math for Parents: Learning and Understanding the Language of Numbers is Key.

Table of Contents

ForewordPrefaceIntroductionPart I. Definition1. Math According to Jen, Bobby, and OthersJen's DeductionsBobby's Experience with Multiplication and Number ArrangementsChildren's Descriptions About Making SenseTrevor and Jim Invent Their Own Multiplication MethodsKeep in Mind2. Math Grammar of Nouns, Verbs, and Stories"Putting Together" Verbs for Addition and Multiplication"Taking Apart" Verbs for Subtraction and DivisionA Short Interlude About the Use of that Negative SignWord Problems Put Math Verbs in StoriesKeep in Mind3. A Choice between Two Rs – Rote Memorization or ReasoningSound Bites That Bite BackMemorization vs. OrganizationAcronyms - Sense or NonsenseKeep in MindPart II. Organization4. In Search of Like Terms, Classification RevisitedLike Terms, Common Denominators, and Same UnitsPlace Value Columns Have Like Terms CategoriesWhat's Wrong with this Picture?Adding PercentagesA Note About Multiplication and DivisionKeep in Mind5. Artful Assembly of OperationsFacts, Frogs, and FormatsJackie's Thinking About Number OperationsJames, Janie, and Napier's Lattice MultiplicationDivision Interpretations That Made SenseKeep in Mind6. Same Math, Same Meaning, Different Organization – New vs. Old"If It Ain't Broke, Don't Fix It."Multiplication Organization SenseDigit Alignment ContinuesZeke, Jake, and Long DivisionKeep in MindPart III. Relationships and Patterns7. "Seeing" Math Patterns with ViewfindersMultiplication Table PatternsAddition Table PatternsKathy's and Rudy's Fraction ViewfindersKeep in Mind8. Spelunking for Patterns with More ViewfindersReflections on Addition and MultiplicationSubtraction, Division, and Missy's "Different Family"A Few Rules of Engagement for Working with NumbersKeep in Mind9. Functions, Predictability, and BalancePredictability and FunctionsOne Answer or Many Answers, Same BalanceKeep in MindPart IV. Connections10. A Multiplication Area Image for the AgesFrom Theon to Dienes – A Bridge Across the CenturiesSame Design for Mixed Numbers, Fractions and DecimalsVisual-Spatial Multi-Digit MultiplicationKeep in Mind11. Ratios, Proportions, and Rate of ChangeFractions as GatekeepersDavid's Decluttering FractionsChanging Numbers, Changing Locations, and Moving Targets in ProportionsSlope as a Rate of ChangeKeep in Mind12. Algebraic ThinkingThe Shapes for an Algebra TransitionFrom Multiplication Tables to Coordinate TablesJill's Graphic SolutionsF.O.I.L.'ed AgainKeep in MindConclusion: What Parents Can DoProblem Solving Beyond Word ProblemsRight Tool for the Right Job - A Hard Look At TechnologyKeep in MindGlossaryReferencesAbout the Author

Review

How the Math Gets Done is not a quick fix to raise the child's math grade for tomorrow's test, but about deciphering the child's thinking and establishing real math understanding for the long haul. Once a kid is in trouble, parents will not feel there is time to immediately get to the bottom of the issues, so they may want to skip around the book to locate the particular topic that is giving their child difficulty. This is the book that will wake parents (and teachers) up to the notion that multiple strategies are helpful and that opportunities for misunderstandings are lying in the path like so many land mines! -- Ann Hammond McCamy, Parent and Assistant Director, Delmont Public Library. Former curriculum writer for Lambert Book House, Education Coordinator at The House of the Seven Gables, and public and private school teacherOh my goodness, this book is brilliant and so helpful. As an educator and a mother, I can't help thinking that this is a book for everyone not just parents. How the Math Gets Done spotlights and breaks down into understandable nuggets the most intimate mathematical thinking of our children. While illuminating for us their understandings and misunderstandings, it pushes us -the adults- to think our very own understandings in the most non-threatening way, so that we can support our kids.  -- Regine Philippeaux-Pierre, Mother of Two Children, Director, Excellence for All, Boston Public Schools

Long Description

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.

Review Quote

How the Math Gets Done is not a quick fix to raise the child's math grade for tomorrow's test, but about deciphering the child's thinking and establishing real math understanding for the long haul. Once a kid is in trouble, parents will not feel there is time to immediately get to the bottom of the issues,

Details ISBN1475834225 Publisher Rowman & Littlefield Year 2017 ISBN-10 1475834225 ISBN-13 9781475834222 Format Hardcover Author Catheryne Draper Subtitle Why Parents Don't Need to Worry about New vs. Old Math Country of Publication United States Pages 158 DEWEY 510.148 Imprint Rowman & Littlefield Place of Publication Lanham, MD Short Title How the Math Gets Done Language English Illustrations Illustrations, unspecified; Black & White Illustrations NZ Release Date 2017-11-03 UK Release Date 2017-11-03 Alternative 9781475834239 Audience General AU Release Date 2017-11-14 Publication Date 2017-10-25 US Release Date 2017-10-25 We've got this

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