Elementary and Middle School Mathematics: Teaching Developmentally, Global Edition

The late Dr John A. Van de Walle was a professor emeritus at Virginia Commonwealth University. He was a leader in mathematics education who regularly gave professional development workshops for K-8 teachers in the United States and Canada focused on mathematics instruction that engaged students in mathematical reasoning and problem solving. He visited and taught in many classrooms and worked with teachers to implement student-centred mathematics lessons. He co-authored the Scott Foresman-Addison Wesley Mathematics K-6 series and contributed to the original Pearson School mathematics program enVisionMATH. Additionally, John was very active in the National Council of Teachers of Mathematics (NCTM), writing book chapters and journal articles, serving on the board of directors, chairing the educational materials committee and speaking at national and regional meetings.  Dr. Karen S. Karp is a professor at John Hopkins University (Maryland). 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 the coauthor of Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for Grades K-6; the three book series, The Math Pact: Achieving Instructional Cohesion within and across Grades; and the What Works Clearinghouse Practice Guide on Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades. She is a former member of the board of directors for the National Council of Teachers of Mathematics (NCTM) and a former president of the Association of Mathematics Teacher Educators. In 2020, she received the NCTM Lifetime Achievement Award and in 2021 became a member of the United States National Committee on Mathematics Instruction. She continues to work in classrooms to support teachers in ways to instruct students with special needs in math. Dr. Jennifer Bay-Williams is a professor at the University of Louisville. She is a leader in mathematics education, regularly working to support mathematics instruction. Beyond her work on this book and the related Teaching Student Centered Mathematics book series, Jennifer has written other books that focus on effective mathematics teaching. Most recently she has written a book series called Figuring out Fluency in Mathematics K-12 and Math Fact Fluency: 60+ Games and Assessment Tools to Help Learning and Retention. For teacher leaders, she has authored Everything You Need for Mathematics Coaching, and in the area of financial literacy, she authored a three-book series titled On the Money (a financial literacy book series). Over the years, Jennifer has taught elementary, middle, and high school in the United States and in Peru. She continues work with teachers around the world and in her local school districts to support their work. Jennifer has been actively involved in NCTM, NCSM, AMTE, and TODOS: Mathematics for All. Currently, she is serving as an associate editor for Mathematics Teacher: Learning and Teaching in preK-12.

SECTION I:TEACHING MATHEMATICS: FOUNDATIONS AND PERSPECTIVES

1. TeachingMathematics in the 21st Century 

2. ExploringWhat It Means to Know and Do Mathematics 

3. Teachingthrough Problem Solving 

4. Planningin the Problem-Based Classroom 

5. CreatingAssessments for Learning 

6. Teaching MathematicsEquitably to All Students

SECTION II:DEVELOPMENT OF MATHEMATICAL CONCEPTS AND PROCEDURES

7. DevelopingEarly Number Concepts and Number Sense 

8. DevelopingMeanings for the Operations 

9. DevelopingBasic Fact Fluency 

10.Developing Whole-Number Place-Value Concepts

11.Developing Strategies for Addition and Subtraction Computation 

12.Developing Strategies for Multiplication and Division Computation 

13. AlgebraicThinking, Equations, and Functions

14.Developing Fraction Concepts

15. DevelopingFraction Operations

16.Developing Decimal and Percent Concepts and Decimal Computation  

17. Ratios,Proportions, and Proportional Reasoning

18.Developing Measurement Concepts 

19. GeometricThinking and Geometric Concepts

20.Developing Concepts of Data Analysis 

21. ExploringConcepts of Probability 

22.Developing Concepts of Exponents, Integers, and Real Numbers

Appendix A.Standards for Mathematical Practice A-1

Appendix B.NCTM Mathematics Teaching Practices: from Principles to Actions A-5

Appendix C.Guide to Blackline Masters A-7

Appendix D.Activities at a Glance A-13