Teaching Student-Centered Mathematics (3^rd Ed.)
Developmentally Appropriate Instruction for Grades 3-5 (Volume 2)

NOTE: Used books, rentals, and purchases made outside of Pearson

If purchasing or renting from companies other than Pearson, the access codes for the Enhanced Pearson eText may not be included, may be incorrect, or may be previously redeemed. Check with the seller before completing your purchase.

Note: This is the bound book only and does not include access to the Enhanced Pearson eText. To order the Enhanced Pearson eText packaged with a bound book, use ISBN 0134081412. 

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.

Improve mastery and retention with the Enhanced Pearson eText
The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content. The Enhanced Pearson eText is:

• Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience.
• Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad® and Android® tablet.*
• Affordable. Experience the advantages of the Enhanced Pearson eText along with all the benefits of print for 40% to 50% less than a print bound book.

*The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads.

*The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7? or 10? tablet, or iPad iOS 5.0 or later.

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 ACommon Core State Standards: Standards for Mathematical Practice 

Appendix BCommon 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 ACommon Core State Standards: Standards for Mathematical Practice 

Appendix BCommon 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

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 studentcentered math lessons. He coauthored the Scott ForesmanAddison Wesley Mathematics K–6 series and contributed to the Pearson School mathematics program, enVisionMATH. In addition, he wrote numerous chapters and articles for the National Council of Teachers of Mathematics (NCTM) books and journals and was very active in NCTM, including serving on the Board of Directors, as the chair of the Educational Materials Committee, and as a frequent speaker at national and regional meetings.

Karen S. Karp is at the School of Education at Johns Hopkins University-Baltimore, MD. Previously, she was a professor of mathematics education at the University of Louisville for more than twenty years. Prior to entering the field of teacher education she was an elementary school teacher in New York. She is also coauthor of Elementary and Middle School Mathematics: Teaching Developmentally, Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in PreK–Grade 2, and numerous book chapters and articles. She is a former member of the Board of Directors of NCTM and a former president of the Association of Mathematics Teacher Educators (AMTE). She continues to work in classrooms to support teachers of students with disabilities in their mathematics instruction.

LouAnn H. Lovin is a professor of mathematics education at James Madison University (Virginia). She coauthored the first edition of the Teaching StudentCentered Mathematics Professional Developm

• NEW! Embedded videos throughout provide examples of students' misconceptions, expand on key concepts, and demonstrate how to implement strategies and techniques in real classrooms.
• NEW! Downloadable Teacher Resource and Activity Pages support teaching activities such as formative assessment and team-building are now available in the Enhanced Pearson eText at the point of use.
• NEW! Downloadable Blackline Masters in Part 2 Chapters. Readers may download Blackline Masters that support the activities and Expanded Lessons by clicking on hyperlinks embedded in the Enhanced Pearson eText. Appendix E includes a list of the Blackline Masters and a thumbnail version of each.

Students can experience the advantages of the Enhanced Pearson eText along with all the benefits of print for 40% to 50% less than a print bound book! Students, register for or purchase your eText at pearsonhighered.com/etextbooks/ted. Instructors, visit pearsonhighered.com/etextbooks/ted to register for your digital examination copy.