A Message from the Author Research in mathematics education has consistently found that understanding and skills are best developed when students are allowed to wrestle with new ideas, to create and defend solutions to problems, and to participate in a mathematical community of learners. This student-centered, problem-based approach to learning is a central theme of this book. Learning how best to help children believe that mathematics makes sense and that they themselves can make sense of mathematics is an exciting endeavor and a lifelong process. It requires the knowledge gained from research, the wisdom shared by professional colleagues, and the insightful ideas that come from your own daily experiences with students. I hope that this book will assist you on this fantastic journey. Praise for Elementary and Middle School Mathematics This is absolutely the best book on the market. No other book comes close. Sandra L. McCune, Stephen F. Austin University I particularly like the emphasis on doing math more than one way (invented math) and the emphasis on problem solving. There is a wealth of resources and children's books for students to use in their development of concepts. Carol Geller, Radford University This text is not only a valuable tool in making sense of and encouraging the use of mathematics by preservice teachers, but also for those educators already in the field. Marilyn Nash, Indiana University South Bend About the Author 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 coauthor of the Scott Foresman, Addison Wesley Mathematics K,6 series. Jennifer M. Bay-Williams has written a Field Experience Guideto accompany the text. Organized to cover all NCATE and NCTM standards and correlated to all chapters of the text, the Field Experience Guideis packed with field-based assignments and reproducible forms to record your experiences. The guide also includes additional activities for students, full-size versions of the Blackline Masters in the text, and 16 extended lesson plans written by John Van de Walle. For more information or to purchase a copy, visit www.ablongman.com and search for the ISBN (0-205-49314-9.Van De Walle, John is the author of 'Elementary And Middle School Mathematics Teaching Developmentally', published 2006 under ISBN 9780205483921 and ISBN 0205483925.