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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.
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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.
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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Produktdetails
- Produktdetails
- Verlag: Rowman & Littlefield Publishers
- Seitenzahl: 160
- Erscheinungstermin: 25. Oktober 2017
- Englisch
- Abmessung: 260mm x 183mm x 13mm
- Gewicht: 509g
- ISBN-13: 9781475834222
- ISBN-10: 1475834225
- Artikelnr.: 48695645
- Herstellerkennzeichnung
- Libri GmbH
- Europaallee 1
- 36244 Bad Hersfeld
- gpsr@libri.de
- Verlag: Rowman & Littlefield Publishers
- Seitenzahl: 160
- Erscheinungstermin: 25. Oktober 2017
- Englisch
- Abmessung: 260mm x 183mm x 13mm
- Gewicht: 509g
- ISBN-13: 9781475834222
- ISBN-10: 1475834225
- Artikelnr.: 48695645
- Herstellerkennzeichnung
- Libri GmbH
- Europaallee 1
- 36244 Bad Hersfeld
- gpsr@libri.de
By Catheryne Draper
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
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
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
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