Elementary and Middle School Mathematics: Teaching Developmentally, 11th edition

Published by Pearson (July 29, 2022) © 2023

  • John A. Van de Walle Virginia Commonwealth University
  • Karen S. Karp Johns Hopkins University
  • Jennifer M. Bay-Williams University of Louisville

eTextbook

per month

  • Anytime, anywhere learning with the Pearson+ app
  • Easy-to-use search, navigation and notebook
  • Simpler studying with flashcards
$101.32

  • Hardcover, paperback or looseleaf edition
  • Affordable rental option for select titles
  • Free shipping on looseleafs and traditional textbooks

For courses in teaching math methods (preK-8).

Guide teachers to help all PreK to 8th grade learners make sense of math

Elementary and Middle School Mathematics illustrates how children in PreK to 8th grade learn math, and then supplies concrete, effective methods of teaching math using problem-based activities. Examples of real student work, common challenges, and hundreds of classroom-ready hands-on tasks help readers visualize developmentally appropriate mathematics instruction and assessment that supports and challenges all learners.

The 11th Edition reflects the Common Core State Standards and NCTM's Principles to Actions, as well as current research and the latest teaching technology.

Hallmark features of this title

  • Samples of real student work show children's mathematical reasoning in context.
  • Adaptations to Challenge and Support Students offer practical strategies to make activities accessible to all students.
  • Formative Assessment Notes help educators evaluate students' understanding of content areas and offer the best methods to assist struggling students.
  • Common Challenges tables outline a student challenge and what it looks like, with tips on how to help.
  • Big Ideas lists help readers envision how to form their lesson plans around major themes rather than isolated skills or concepts.
  • Research-based strategies, NCTM Teaching Standards, and Standards for Mathematical Practice Margin Notes provide a thorough reference for all of the math content suggested for grades PreK-8.

New and updated features of this title

Classroom-ready strategies

  • UPDATED: Hundreds of problem-based activities model specific ways to engage students in doing mathematics. This edition includes more than 40 new activities.
  • UPDATED: Teaching reasoning strategies in basic facts, whole numbers and fractions is covered in more depth in Chs. 9, 11, 12 and 15.
  • UPDATED: Technology Notes reference new open-source software, apps and digital resources to use in teaching. Literature Connections list fun ways to use children's books to teach math, including 2 new lists for different reading levels on measurement and geometry.

Learner-focused content

  • NEW: Learning Progressions in each chapter offer guidance for planning units, understanding prior knowledge and future directions, and informing assessment development.
  • NEW: Writing to Learn exercises ask readers to analyze and reflect on each chapter's big ideas. The exercises can be assigned or used to spark discussions in class.

The LMS-Compatible Assessment Bank streamlines assignments and grading

  • NEW: Learning outcome quizzes and application exercises can be assigned from a packaged file. Questions give students feedback and model responses based on their answers.

Features of Pearson eText for the 11th Edition

  • Video Examples use authentic classroom videos and clips of children solving math problems to expand on key concepts and instructional strategies in each chapter. Additional videos feature the authors and experts in the field explaining strategies for teaching important topics.
  • UPDATED: Blackline masters, activity pages, teacher resources and expanded lessons are linked throughout each chapter. These classroom-ready documents are easy to download and print for use in a methods class or school settings.

PART I: Teaching Mathematics Developmentally: Big Ideas and Research-Based Practices

  1. Teaching to Build Confident and Competent Mathematics Learners
  2. Exploring What It Means to Know and Do Mathematics
  3. Teaching Problem-based Mathematics
  4. Planning in the Problem-Based Classroom
  5. Creating Assessments for Learning
  6. Teaching Mathematics Equitably to All Students

PART II: Teaching Mathematics Developmentally: Concepts and Procedures in PreK-8

  1. Developing Early Number Concepts and Number Sense
  2. Developing Meanings for the Operations
  3. Developing Basic Fact Fluency
  4. Developing Whole-Number Place-Value Concepts
  5. Developing Strategies for Addition and Subtraction Computation
  6. Developing Strategies for Multiplication and Division Computation
  7. Algebraic Thinking
  8. Developing Fraction Concepts
  9. Developing Fraction Operations
  10. Developing Decimal and Percent Concepts and Decimal Computation
  11. Ratios and Proportional Reasoning
  12. Developing Measurement Concepts
  13. Developing Geometric Thinking and Geometric Concepts
  14. Developing Concepts of Data and Statistics
  15. Exploring Concepts of Probability
  16. Developing Concepts of Exponents, Negative Numbers, and Real Numbers

APPENDICES

  1. Standards for Mathematical Practice
  2. NCTM Mathematics Teaching Practices from Principles to Actions
  3. Guide to Blackline Masters
  4. Activities at a Glance

About our authors

Dr. John A. Van de Walle (1943 to 2006) was a professor emeritus at Virginia Commonwealth University. He was a leader in mathematics education who regularly gave professional development workshops for K to 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.

Dr. 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. 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, continually working to support mathematics instruction. Beyond her work on this book and the related Teaching Student Centered Mathematics book series, Jennifer has most recently authored 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. In the area of financial literacy, she authored a three-book series titled On the Money. Over the years, Jennifer has taught elementary, middle, and high school in the U.S. and in Peru. She continues to 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.

About the contributor

Dr. Jonathan Wray is the technology contributor to Elementary and Middle School Mathematics, Teaching Developmentally (6th through 11th editions). He is the Coordinator for Secondary Mathematics in the Howard County Public School System. He has served as the president of the Association of Maryland Mathematics Teacher Educators (AMMTE) and the Maryland Council of Teachers of Mathematics (MCTM) and manager of the Elementary Mathematics Specialists and Teacher Leaders (EMS & TL) Project. Jon also served as an elected member of the National Council of Teachers of Mathematics (NCTM) Board of Directors (2012 to 2015). He has been recognized for his expertise in infusing technology in mathematics teaching and was named an outstanding technology leader in education by the Maryland Society for Educational Technology (MSET). Jon is the recipient of the 2020 Ross Taylor / Glen Gilbert National Mathematics Leadership Award given by the National Council of Supervisors of Mathematics.

Need help? Get in touch

Pearson+

All in one place. Pearson+ offers instant access to eTextbooks, videos and study tools in one intuitive interface. Students choose how they learn best with enhanced search, audio and flashcards. The Pearson+ app lets them read where life takes them, no wi-fi needed. Students can access Pearson+ through a subscription or their MyLab or Mastering course.

Video
Play
Privacy and cookies
By watching, you agree Pearson can share your viewership data for marketing and analytics for one year, revocable by deleting your cookies.

Pearson eTextbook: What’s on the inside just might surprise you

They say you can’t judge a book by its cover. It’s the same with your students. Meet each one right where they are with an engaging, interactive, personalized learning experience that goes beyond the textbook to fit any schedule, any budget, and any lifestyle.Â