Elementary and Middle School Mathematics Teaching Developmentally

by Van de Walle, John A.; Karp, Karen S.; Bay-Williams, Jennifer M.

• ISBN13: 9780134802084
• ISBN10: 013480208X
• Edition: 10th
• Format: Paperback
• Copyright: 2018-01-23
• Publisher: Pearson

Summary

This handy reference is particularly useful for elementary teachers who are changing grade levels and special education teachers who teach multiple grades and multiple ability levels.

Guide teachers to help all PreK-8 learners make sense of mathematics
Elementary and Middle School Mathematics: Teaching Developmentally illustrates how children learn mathematics, and then shows pre-service teachers the most effective methods of teaching PreK-8 math through hands-on, problem-based activities.

As you engage with the activities, you'll boost your own knowledge of the math and learn concrete, developmentally appropriate ways to incorporate problem-based tasks in your classroom. Examples of real student work and new common challenges and misconception tables help you visualize good mathematics instruction and assessment that supports and challenges all learners. An important reference to consult throughout your teaching career, this book reflects the Common Core State Standards and NCTM’s Principles to Actions, as well as current research and coverage of the latest teaching technology.

Also available with MyLab Education
MyLab™ is the teaching and learning platform that empowers instructors to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. The interactive, authentic application exercises, video examples, math practice, and self-check assessments in MyLab Education for Elementary and Middle School Mathematics help future teachers build their understanding of math content and pedagogy.

NOTE: You are purchasing a standalone product; MyLab does not come packaged with this content. Students, if interested in purchasing this title with MyLab Education, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson rep for more information.

If you would like to purchase both the physical text and MyLab Education, search for:

0134800346 / 9780134800349 Elementary and Middle School Mathematics: Teaching Developmentally plus MyLab Education with Enhanced Pearson eText -- Access Card Package
Package consists of:

• 0134802063 / 9780134802060 MyLab Education with Pearson eText -- Access Card -- for Elementary and Middle School Mathematics: Teaching Developmentally
  
• 013480208X / 9780134802084 Elementary and Middle School Mathematics: Teaching Developmentally

Author Biography

The late 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-centered 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.

Karen S. Karp is a professor at Johns 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. Karen is the volume editor of Annual Perspectives in Mathematics Education: Using Research to Improve Instruction and is the co-author of Developing Essential Understanding of Addition and Subtraction for Teaching Mathematics in PreK—Grade 2, Discovering Lessons for the Common Core State Standards in Grades K—5, and Putting Essential Understanding of Addition and Subtraction into Practice PreK—Grade 2. 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. She continues to work in classrooms to support teachers in ways to instruct students with disabilities.

Dr. Jennifer Bay-Williams is a mathematics teacher educator, author, and life-long learner with a passion for making mathematics meaningful for all students. She has written many articles and books around K-12 mathematics education, including the three book series related to this book, Teaching Student Centered Mathematics (with John Van de Walle, LouAnn Lovin, and Karen Karp), and various other books including Mathematics Coaching: Resources and Tools for Coaches and Other Leaders, Developing Essential Understanding of Addition and Subtraction in Prekindergarten—Grade 2, On the Money (financial literacy book series), Math and Literature: Grades 6—8, and Math and Nonfiction: Grades 6—8. Jennifer is a professor at the University of Louisville (Kentucky) and previously taught elementary, middle, and high school in Missouri and in Peru. She continues to learn and work in K-8 classrooms in rural and urban settings. Jennifer is very active in national mathematics organizations, having served is on the NCTM board of directors, AMTE secretary, president, and lead writer for Standards for the Preparation of Teachers of Mathematics (AMTE, 2017), and currently serving on the TODOS: Mathematics for All Board of Directors as Chair of the Advocacy Committee.

Table of Contents

Brief Contents

Section I: Teaching Mathematics: Foundations and Perspectives

1. Teaching Mathematics in the 21st Century 

2. Exploring What It Means to Know and Do Mathematics 

3. Teaching through Problem Solving 

4. Planning in the Problem-Based Classroom 

5. Creating Assessments for Learning 

6. Teaching Mathematics Equitably to All Students 

Section II: Development of Mathematical Concepts and Procedures

7. Developing Early Number Concepts and Number Sense 

8. Developing Meanings for the Operations 

9. Developing Basic 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. Algebraic Thinking, Equations, and Functions

14. Developing Fraction Concepts

15. Developing Fraction Operations

16. Developing Decimal and Percent Concepts and Decimal Computation  

17. Ratios, Proportions, and Proportional Reasoning

18. Developing Measurement Concepts 

19. Geometric Thinking and Geometric Concepts

20. Developing Concepts of Data Analysis 

21. Exploring Concepts 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