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Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution.
Mathematize It! shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it.
This user-friendly resource for Grades 3–5
• Offers a systematic mathematizing process for solving word problems
• Provides specific examples for all four operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, and decimals
• Demonstrates the use of concrete manipulatives to model problems with dozens of short videos
Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution.
Mathematize It! shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem’s context, and employ strong operation sense to solve it.
This user-friendly resource for Grades 3–5
• Offers a systematic mathematizing process for solving word problems
• Provides specific examples for all four operations (addition, subtraction, multiplication, and division) with whole numbers, fractions, and decimals
• Demonstrates the use of concrete manipulatives to model problems with dozens of short videos
Sara Delano Moore is an independent mathematics education consultant at SDM Learning. A fourth-generation educator, her work focuses on helping teachers and students understand mathematics as a coherent and connected discipline through the power of deep understanding and multiple representations for learning. Sara has worked as a classroom teacher of mathematics and science in the elementary and middle grades, a mathematics teacher educator, Director of the Center for Middle School Academic Achievement for the Commonwealth of Kentucky, and Director of Mathematics & Science at ETA hand2mind. Her journal articles appear in Mathematics Teaching in the Middle School, Teaching Children Mathematics, Science & Children, and Science Scope.
Preface
Chapter 1 Introduction: Why You Need to Teach Students to Mathematize
Problem Solving Strategies Gone Wrong
What is Mathematizing? Why Is It Important?
Teaching Students to Mathematize
Final Words Before You Dive In
Part 1 Addition and Subtraction
Chapter 2: Add-To and Take-From: Locating the Change
Thinking About Active Addition and Subtraction Situations
Moving Beyond Whole Numbers
Key Ideas
Try It Out!
Reflect
Chapter 3: Part-Part-Whole: Understanding the Relationship
Thinking About Part-Part-Whole Situations
Moving Beyond Whole Numbers
Key Ideas
Try It Out!
Reflect
Chapter 4: Additive Comparisons: Another Kind of Relationship
Thinking About Additive Comparison Situations
Moving Beyond Whole Numbers
Key Ideas
Try It Out!
Reflect
Part 2: Multiplication and Division
Chapter 5: Equal Groups Multiplication: Two Factors, Different Jobs
Thinking About Equal Groups Situations
Moving Beyond Whole Numbers
Key Ideas
Try it Out!
Reflect
Chapter 6: Equal Groups Division: When a Factor Is Missing
Thinking About Equal Groups Division
Moving Beyond Whole Numbers
Key Ideas
Try it Out!
Reflect
Chapter 7: Multiplicative Comparisons: Another Asymmetric Relationship
Thinking About Multiplicative Comparisons
Moving Beyond Whole Numbers
Key Ideas
Try It Out!
Reflect
Chapter 8: Area and Array: Two Factors, Same Job
Thinking About Area and Array Situations
Moving Beyond Whole Numbers
Key Ideas
Try It Out!
Reflect
Chapter 9: Changing How You Teach Word Problems
Getting into the Mathematizing Sandbox
8 Shifts in Instruction for Building Students' Problem-Solving Skills
Guidance for Moving Forward: FAQ's
Appendix A - Situation Tables
References
Index
Erscheinungsjahr: | 2019 |
---|---|
Fachbereich: | Bildungswesen |
Genre: | Erziehung & Bildung |
Rubrik: | Sozialwissenschaften |
Medium: | Taschenbuch |
Seiten: | 224 |
ISBN-13: | 9781506395272 |
ISBN-10: | 1506395279 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: |
Moore, Sara Delano
Morrow-Leong, Kimberly Gojak, Linda M |
Hersteller: | Sage Publications |
Maße: | 274 x 211 x 15 mm |
Von/Mit: | Sara Delano Moore (u. a.) |
Erscheinungsdatum: | 14.10.2019 |
Gewicht: | 0,612 kg |
Sara Delano Moore is an independent mathematics education consultant at SDM Learning. A fourth-generation educator, her work focuses on helping teachers and students understand mathematics as a coherent and connected discipline through the power of deep understanding and multiple representations for learning. Sara has worked as a classroom teacher of mathematics and science in the elementary and middle grades, a mathematics teacher educator, Director of the Center for Middle School Academic Achievement for the Commonwealth of Kentucky, and Director of Mathematics & Science at ETA hand2mind. Her journal articles appear in Mathematics Teaching in the Middle School, Teaching Children Mathematics, Science & Children, and Science Scope.
Preface
Chapter 1 Introduction: Why You Need to Teach Students to Mathematize
Problem Solving Strategies Gone Wrong
What is Mathematizing? Why Is It Important?
Teaching Students to Mathematize
Final Words Before You Dive In
Part 1 Addition and Subtraction
Chapter 2: Add-To and Take-From: Locating the Change
Thinking About Active Addition and Subtraction Situations
Moving Beyond Whole Numbers
Key Ideas
Try It Out!
Reflect
Chapter 3: Part-Part-Whole: Understanding the Relationship
Thinking About Part-Part-Whole Situations
Moving Beyond Whole Numbers
Key Ideas
Try It Out!
Reflect
Chapter 4: Additive Comparisons: Another Kind of Relationship
Thinking About Additive Comparison Situations
Moving Beyond Whole Numbers
Key Ideas
Try It Out!
Reflect
Part 2: Multiplication and Division
Chapter 5: Equal Groups Multiplication: Two Factors, Different Jobs
Thinking About Equal Groups Situations
Moving Beyond Whole Numbers
Key Ideas
Try it Out!
Reflect
Chapter 6: Equal Groups Division: When a Factor Is Missing
Thinking About Equal Groups Division
Moving Beyond Whole Numbers
Key Ideas
Try it Out!
Reflect
Chapter 7: Multiplicative Comparisons: Another Asymmetric Relationship
Thinking About Multiplicative Comparisons
Moving Beyond Whole Numbers
Key Ideas
Try It Out!
Reflect
Chapter 8: Area and Array: Two Factors, Same Job
Thinking About Area and Array Situations
Moving Beyond Whole Numbers
Key Ideas
Try It Out!
Reflect
Chapter 9: Changing How You Teach Word Problems
Getting into the Mathematizing Sandbox
8 Shifts in Instruction for Building Students' Problem-Solving Skills
Guidance for Moving Forward: FAQ's
Appendix A - Situation Tables
References
Index
Erscheinungsjahr: | 2019 |
---|---|
Fachbereich: | Bildungswesen |
Genre: | Erziehung & Bildung |
Rubrik: | Sozialwissenschaften |
Medium: | Taschenbuch |
Seiten: | 224 |
ISBN-13: | 9781506395272 |
ISBN-10: | 1506395279 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: |
Moore, Sara Delano
Morrow-Leong, Kimberly Gojak, Linda M |
Hersteller: | Sage Publications |
Maße: | 274 x 211 x 15 mm |
Von/Mit: | Sara Delano Moore (u. a.) |
Erscheinungsdatum: | 14.10.2019 |
Gewicht: | 0,612 kg |