How the Math Gets Done - Draper, Catheryne

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Résumé :
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 3. A Choice between Two Rs - Rote Memorization or Reasoning Sound Bites That Bite Back Memorization vs. Organization Acronyms - Sense or Nonsense 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 Part III. Relationships and Patterns 7. Seeing Math Patterns with Viewfinders Multiplication Table Patterns Addition Table Patterns Kathy's and Rudy's Fraction Viewfinders 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 9. Functions, Predictability, and Balance Predictability and Functions One Answer or Many Answers, Same Balance 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 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 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 Conclusion: What Parents Can Do Problem Solving Beyond Word Problems Right Tool for the Right Job - A Hard Look At Technology Glossary References About the Author...

Biographie:
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. 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,User-Friendly Math for Parents: Learning and Understanding the Language of Numbers is Key, and How the Math Gets Done: Why Parents Don't Need to Worry About New vs. Old Math....

Sommaire:

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.