Elementary and Middle School Mathematics 5e - Van De Walle, John A.

Elementary and Middle School Mathematics 5e

John A. Van De Walle

Yayınevi: Allyn & Bacon

Yayın tarihi: 03/2003

ISBN: 9780205386895

İngilizce | 544 Sayfa |

Tür: Matematik-İstatistik


"Overall, this book is an excellent resource for those who are investigating the teaching of mathematics at the elementary and middle school levels... Above all, the emphasis on student-centered problem solving is consistent with current trends and practices. This book is unique in that it challenges assumptions and traditional practices." - Katherine Chamberlain, Lycoming College. "I have used Van de Walle's text since it came on the market and still feel it is, by far, the best available! The layout is excellent. The philosophical basis of the text is superb. It's easy to read by both undergraduates and graduate students in that it makes connections between their experiences and the philosophical foundations. Three major strengths include the references to the NCTM Standards, inclusion of algebraic thought at all grade levels, and the continued development of the same themes and philosophical foundations." - Tim Whiteford, Trinity College of Vermont. "One of the major reasons why Van de Walle's text is so useful... is the text's involvement of the reader in the development of 'mathematical reasoning.' It creates a thinker." - Timothy Touzel, Coastal Carolina University. The new features of the Fifth Edition include: inspired by one of the five process standards in the NCTM Principles and Standards', Content Connections is a new feature that highlights the connections between content areas in mathematics in various chapters. NCTM icons appear in nearly every chapter and point explicitly to the alignment of this book with the NCTM Principles and Standards through excerpts and commentary. Investigations in Number, Data, and Space and Connected Mathematics features spotlight examples of these two popular reform curricula for the K-5 and 6-8 grade levels, respectively. These excerpts occur in every chapter in Section 2, include an activity from the program along with a description of the surrounding content. The purpose is to acquaint students with materials reflecting the spirit of the NCTM Standards and the constructivist philosophy of the book. Stop and Reflect features indicate places throughout the book to pause and become truly engaged with an idea. Chapter 6, Planning in a Problem-Based Curriculum includes a new step-by-step guide for planning student-centered lessons.

A distinction between practice and drill provides a new perspective on the issue of drill. The Geometry chapter (Ch. 20) is completely revised to reflect the four goals of the NCTM Standards - Shapes and Properties, Transformations, Location, and Visualization. Coverage of multicultural issues and ethnomathematics, as well as other issues related to special needs have been updated to reflect current trends and research (Ch. 7). The technology chapter (Ch. 8) reflects the most current technology available for teaching elementary mathematics, including online applets, such as those found in NCTM's e-Standards, and other Web-based resource. John A. Van de Walle is Professor Emeritus, Virginia Commonwealth University. As a mathematics education consultant, he regularly works with K-8 teachers and in elementary school classrooms, and has taught mathematics to children at all levels, K-8. He is also a co-author of the Scott Foresman, Addison Wesley "Mathematics K 6" series.

Table of Contents

I. TEACHING MATHEMATICS: FOUNDATIONS AND PERSPECTIVES. 1. Teaching Mathematics in the Context of the Reform Movement. 2. Exploring What It Means to Do Mathematics. 3. Developing Understanding in Mathematics. 4. Teaching Through Problem Solving. 5. Building Assessment into Instruction. 6. Planning in the Problem-Based Classroom. 7. Teaching All Children Mathematics. 8. Technology and School Mathematics. II. DEVELOPMENT OF MATHEMATICAL CONCEPTS AND PROCEDURES. 9. Developing Early Number Concepts and Number Sense. 10. Developing Meanings for the Operations. 11. Helping Children Master the Basic Facts. 12. Whole-Number Place-Value Development. 13. Strategies for Whole-Number Computation. 14. Computational Estimation with Whole Numbers. 15. Developing Fraction Concepts. 16. Computation with Fractions. 17. Decimal and Percent Concepts and Decimal Computation. 18. Developing Concepts of Ratio and Proportion. 19. Developing Measurement Concepts. 20. Geometric Thinking and Geometric Concepts. 21. Exploring Concepts of Data Analysis and Probability. 22. Algebraic Reasoning. 23. Exploring Functions. 24. Developing Concepts of Exponents, Integers, and Real Numbers. Appendix A. Principles and Standards for School Mathematics: Content Standards and Grade Level Expectations. Appendix B. Professional Standards for Teaching Mathematics: Teaching Standards.

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