Teaching Student-centered Mathematics: Developmentally Appropriate Instruction For Grades 3-5 (volume Ii) by John A. Van De Walle

Teaching Student-centered Mathematics: Developmentally Appropriate Instruction For Grades 3-5…

byJohn A. Van De Walle, Karen S. Karp, Louann H. Lovin

Paperback | January 9, 2017

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Helping students make connections between mathematics and their worlds—and helping them feel empowered to use math in their lives—is the focus of this widely popular guide. Designed for classroom teachers, the book focuses on specific grade bands and includes information on creating an effective classroom environment, aligning teaching to various standards and practices, such as the Common Core State Standards and NCTM’s teaching practices, and engaging families. The first portion of the book addresses how to build a student-centered environment in which children can become mathematically proficient, while the second portion focuses on practical ways to teach important concepts in a student-centered fashion. The new edition features a corresponding Enhanced Pearson eText version with links to embedded videos, blackline masters, downloadable teacher resource and activity pages, lesson plans, activities correlated to the CCSS, and tables of common errors and misconceptions.

 

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About The Author

The late John A. Van de Walle was a professor emeritus at Virginia Commonwealth University. He was a mathematics education consultant who regularly gave professional development workshops for K–8 teachers in the United States and Canada. He visited and taught in elementary school classrooms and worked with teachers to implement studen...

Details & Specs

Title:Teaching Student-centered Mathematics: Developmentally Appropriate Instruction For Grades 3-5…Format:PaperbackDimensions:496 pages, 10.8 × 8.4 × 0.9 inPublished:January 9, 2017Publisher:Pearson EducationLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0134556429

ISBN - 13:9780134556420

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Extra Content

Table of Contents

Brief Table of Contents


Part 1: Establishing a Student- Centered Environment


1. Setting a Vision for Learning High-Quality Mathematics 

2. Teaching Mathematics through Problem Solving 

3. Creating Assessments for Learning 

4. Differentiating Instruction 

5. Teaching Culturally and Linguistically Diverse Students 

6. Teaching and Assessing Students with Exceptionalities 

7. Collaborating with Families and Other Stakeholders 


Part 2: Teaching Student -Centered Mathematics


8. Exploring Number and Operation Sense 

9. Developing Basic Fact Fluency 

10. Developing Whole-Number Place-Value Concepts 

11. Building Strategies for Whole -Number Computation 

12. Exploring Fraction Concepts 

13. Building Strategies for Fraction Computation 

14. Developing Decimal and Percent Concepts and Decimal Computation 

15. Promoting Algebraic Thinking 

16. Building Measurement Concepts 

17. Developing Geometric Thinking and Concepts 

18. Representing and Interpreting Data 


Appendix A Common Core State Standards: Standards for Mathematical Practice 

Appendix B Common Core State Standards: Grades 3-5 Critical Content Areas and Overviews 

Appendix C Mathematics Teaching Practices: NCTM Principles to Action (2014)

Appendix D Activities at a Glance: Volume II

Appendix E Guide to Blackline Masters

References

Index


Detailed Table of Contents


Part 1: Establishing a Student- Centered Environment


1. Setting a Vision for Learning High-Quality Mathematics  

         Understanding and Doing Mathematics 

         How Do Students Learn? 

         Teaching for Understanding  

         The Importance of Students’ Ideas 

         Mathematics Classrooms That Promote Understanding

2. Teaching Mathematics through Problem Solving

         Teaching through Problem Solving: An Upside-Down Approach 

         Mathematics Teaching Practices for Teaching through Problem Solving 

         Using Worthwhile Tasks  

         Orchestrating Classroom Discourse 

         Representations: Tools for Problem Solving, Reasoning, and Communication 

         Lessons in the Problem-Based Classroom 

         Life-Long Learning: An Invitation to Learn and Grow 


3. Creating Assessments for Learning

         Assessment That Informs Instruction 

         Observations 

         Questions 

         Interviews 

         Tasks 

         Students’ Self-Assessment and Reflection 

         Rubrics and Their Uses 


4. Differentiating Instruction 

         Differentiation and Teaching Mathematics through Problem Solving 

         The Nuts and Bolts of Differentiating Instruction 

         Differentiated Tasks for Whole-Class Instruction 

         Tiered Lessons 

         Flexible Grouping 


5. Teaching Culturally and Linguistically Diverse Students  

         Culturally and Linguistically Diverse Students 

         Culturally Responsive Mathematics Instruction 

         Teaching Strategies That Support Culturally and Linguistically Diverse Students 

         Assessment Considerations for ELLs 


6. Planning, Teaching, and Assessing Students with Exceptionalities

         Instructional Principles for Diverse Learners 

         Implementing Interventions 

         Teaching and Assessing Students with Learning Disabilities 

         Adapting for Students with Moderate/Severe Disabilities 

         Planning for Students Who Are Mathematically Gifted 


7. Collaborating with Families and Other Stakeholders 

         Sharing the Message with Stakeholders 

         Administrator Engagement and Support 

         Family Engagement 

         Homework Practices and Parent Coaching 


Part 2: Teaching Student -Centered Mathematics


8. Exploring Number and Operation Sense

         Developing Addition and Subtraction Operation Sense 

         Developing Multiplication and Division Operation Sense 

         Multiplication and Division Problem Structures 

         Teaching Multiplication and Division 

         Properties of Multiplication and Division 

         Strategies for Solving Contextual Problems 

         Multistep Word Problems

 

9. Developing Basic Fact Fluency

         Developmental Phases for Learning the Basic Fact Combinations 

         Teaching and Assessing the Basic Fact Combinations 

         Reasoning Strategies for Addition Facts 

         Reasoning Strategies for Subtraction Facts 

         Reasoning Strategies for Multiplication and Division Facts 

         Reinforcing Basic Fact Mastery 


10. Developing Whole-Number Place-Value Concepts

         Extending Number Relationships to Larger Numbers 

         Important Place-Value Concepts 

         Extending Base-Ten Concepts 

         Oral and Written Names for Numbers 

         Patterns and Relationships with Multidigit Numbers 

         Numbers beyond 1000 


11. Building Strategies for Whole-Number Computation

         Toward Computational Fluency 

         Development of Invented Strategies in Addition and Subtraction 

         Standard Algorithms for Addition and Subtraction 

        Invented Strategies for Multiplication 

         Standard Algorithms for Multiplication 

         Invented Strategies for Division 

         Standard Algorithms for Division 

         Computational Estimation 


12. Exploring Fraction Concepts

         Meanings of Fractions 

         Models for Fractions 

         Fractional Parts of a Whole 

         Equivalent Fractions 

         Comparing Fractions 

         Teaching Considerations for Fraction Concepts


13. Building Strategies for Fraction Computation 

         Understanding Fraction Operations 

         Addition and Subtraction 

         Multiplication 

         Division


14. Developing Decimal and Percent Concepts and Decimal Computation

         Developing Concepts of Decimals 

         Connecting Fractions and Decimals 

         Developing Decimal Number Sense 

         Computation with Decimals 

         Introducing Percents 


15. Promoting Algebraic Thinking 

         Strands of Algebraic Thinking 

         Generalized Arithmetic 

         Meaningful Use of Symbols 

         Making Structure in the Number System Explicit 

         Patterns and Functional Thinking 


16. Building Measurement Concepts

         The Meaning and Process of Measuring 

         The Role of Estimation and Approximation 

         Length 

         Area 

         Volume 

         Weight and Mass 

         Angles 

         Time 

         Money 


17. Developing Geometric Thinking and Concepts

         Geometry Goals for Your Students 

         Developing Geometric Thinking 

         Shapes and Properties

         Learning about Transformations 

         Learning about Location 

         Learning about Visualizations


18. Representing and Interpreting Data

         What Does It Mean to Do Statistics? 

         Formulating Questions 

         Data Collection 

         Data Analysis: Classification 

         Data Analysis: Graphical Representations 

         Interpreting Results


Appendix A Common Core State Standards: Standards for Mathematical Practice 

Appendix B Common Core State Standards: Grades 3-5 Critical Content Areas and Overviews 

Appendix C Mathematics Teaching Practices: NCTM Principles to Action (2014)

Appendix D Activities at a Glance: Volume II

Appendix E Guide to Blackline Masters

References

Index