This leading K-8 math methods text has the most coverage of the NCTM Standards, the strongest coverage of middle school mathematics, and the highest student approval of any text currently available.
Elementary and Middle School Mathematics: Teaching Developmentally provides an unparalleled depth of ideas and discussion to help students develop a real understanding of the mathematics they will teach. This text reflects the NCTM Principles and Standards and the benefits of constructivist–or student-centered–mathematics instruction. It is structured for maximum flexibility, offering 23 brief, compartmentalized chapters that may be mixed and matched to fit any course or teaching approach. Practical and concise, it offers readers a strong theoretical perspective of how children learn mathematics and then shows them the best way to teach it.
The text is organized into two sections. The first section introduces trends in mathematics education and the process of doing mathematics. It then develops the core ideas of learning, teaching, planning, and assessment. Additional perspectives on mathematics for special children and the role of technology are also discussed. Chapters 3 and 4 are the most critical as they describe the constructivist view of learning and how it is applied as well as what it means to teach through problem solving.
Section II serves as the application of the core ideas in Section I. Chapters on every major area of content in the K-8 mathematics curriculum are included. Numerous problem-based activities to engage students are interwoven with a discussion of the mathematical content and how children develop their understanding of that content. The appendices at the end of the book provide additional information on the Principles and Standards of the NCTM, the Professional Standards, and Guides for Blackline Masters and suggestions for use of construction materials.
Both a comprehensive textbook and a reference as students begin their teaching careers; Van de Walle’s book will help teachers and students alike to find the excitement that happens when mathematics makes sense.
NEW! MyEducationLab marginal annotations -(www.myeducationlab.com).
Look for the MyEducationLab logo in the margins and follow links to access the multimedia assignments in MyEducationLab site that correspond with the chapter content.
--Practice test and Review Questions and Study Plan help readers test their understanding of chapter content.
--Assignments and Applications
--Videos of classroom-based mathematics instruction plus 22 fully integrated videos of the late John Van de Walle, one of the foremost experts on how children learn mathematics, giving workshops for practicing teachers. In the video, he discusses mathematical concepts and conduct hands-on activities with teachers. Each video is accompanied by questions that encourage readers to apply what they have learned.
--Simulation Exercises, Online Resources, School Curricula (see below), Lesson Resources, downloadable Black Line Masters
--Building Teaching Skills provide practice in developing the skills and characteristics that are essential to quality teaching through seven expanded lessons and video of classroom-based mathematics instruction.
--Children's Literature Connections, Recommended Readings, Online Resources, and enVisionMATH K-6 Curriculum sample chapters.
--To order this book WITHOUT MyEducationLab use this ISBN: 9780205573523. To order this book WITH MyEducationLab use this ISBN: 9780136101420.
Click here to learn more about MyEducationLab.
New! Feature boxes present three commerical curricula and acquaint readers with the materials they may be using in their first classroom while demonstrating how the spirit of the NCTM standards and the constructivist theory presented in this book can be translated to existing commercial curricula. The new online learning resource for this book, MyEducationLab extends these features by provides opportunities for pre-service teachers to practice adapting the curriculum sample by applying what they have learned in the chapter.
In section II, four chapters include features that describe an activity from the standards-based curriculum Investigations in Number, Data, and Space (an elementary curriculum) or Connected Mathematics Project (CMP II) (a middle school curriculum). These features include a description of an activity in the program as well as the context of the unit in which it is found while MyEducationLab provides application activities that can be easily assigned. There are a total of 13 Activities built around the Investigations curriculum and 7 Activities built around the CMP II curriulum on MyEducationLab in chapters 8-23.
Samples of the popular EnVisionMath series can be found only on the new MyEducationLab website for Elementary and Middle School Mathematics in chapters 8-23.
NEW! Field Experience Guide Connections at the end of each chapter showcases resources from the Field Experience Guide 3e that directly connect to the content and topics within each chapter. The Field Experience Guide, a supplement to Elementary and Middle School Mathematics, has been created for mathematics observation, practicum, and student teaching experiences at the elementary and middle school levels. The guidebook contains two parts:
Part I provides tasks for preservice teachers to do in the field
Part II providesthree types of activities: Expanded Lessons, Mathematics Activities, and Balanced Assessment Tasks.
NEW! Revision of Chapter 5 on assessment--Discusses increased testing pressure and accountability, adds more information on equitable assessments, creates more explicit links between objectives and assessment, and includes assessments for students with special needs.
NEW! Updates of the Literature Connections feature to remove all out of print children’s literature and include more non-fiction, poetry, and other types of readings.
NEW! Weaves the Focal Points throughout the chapters as well as links them with the Big Ideas feature–Focal Points have also been added to the Appendix.
NEW! Includes expanded coverage of working with diverse learners including differentiated instruction, working with culturally and linguistically diverse families, adapting the Response to Intervention (RTI) for children in a mathematics classroom, and more.
NEW! Gives greater emphasis on dealing with math anxiety.
NEW! Connection of the theories of learning “why do” to the implementation of “doing” mathematics. Chapters 2 and 3 from the Sixth edition have been combined into Chapter 2 in the Seventh edition. The theories of constructivism and sociocultural theory are concisely and clearly described, followed by implications for teaching.
NEW! Emphasis on Problem Solving in section I with a focus on the work of George Polya supplements existing problem solving coverage throughout the text. An additional section in Chapter 3 also illustrates for teachers how to adapt textbooks to promote problem solving.
Updated! Technology coverage has been updated and expanded including definition of technologies including digital tools, collaborative authoring tools, podcasts, and dynamic software. This is in light of the thinking about Technological Pedagogical Content Knowledge (TPACK), which reflects the need to infuse technology in every lesson. In Chapter 7, there are guidelines on how to select and evaluate Internet resources and an effort has been made throughout the book to focus on software you do not need to buy, but can instead access online.
Revised! Algebraic Thinking coverage is now reorganized around five critical themes of algebraic thinking: generalization from arithmetic and from patterns in all of mathematics, meaningful use of symbols, study of structure in the number system, study of patterns and functions, and the process of mathematical modeling, which integrates the first four. In addition, there is increased attention to developing meaningful contexts for algebraic thinking across grades pre-K—8, including connections to other subject areas.
Develops a strong theoretical perspective of children learning mathematics—The constructivist view, or developmental approach.
Takes a problem solving approach to the teaching of mathematics—Espouses the theory of Hiebert et al. that the best approach to teaching mathematics is to teach with problem-based tasks.
Provides the most complete coverage of the 2000 NCTM Principles and Standards on the market—Includes a textual discussion (Chapter 1) the actual Content and Teaching standards (App. A, B), and numerous references throughout the text, denoted by an NCTM marginal icon.
Engages students in doing mathematics through the numerous activities in every content chapter—These problem-based tasks and activities help make this book a resource as well as a textbook.
Includes the following successful pedagogical tools for learning—
Big Ideas provide clear and succinct exploration of the most critical concepts in mathematics.
Mathematics Content Connections list brief descriptions of other content areas in mathematics that are related to the content of the chapter.
Literature Connections offer strategies for teaching math through specific children's literature.
Assessment Notes show how assessment is an integral part of instruction.
Pause and Reflect encourages students to take a moment to delve deeper into their study and think critically about what they have just read.
Investigations in Number, Data, and Space describe an activity from the standards based curriculum to acquaint students with the materials.
Connected Mathematics demonstrates how the spirit of the NCTM Standards and constructivist theory can be translated into a curriculum.
NCTM Correlations point explicitly to the alignment of this book with the Standards and encourage students to read more about what them.
Technology Notes point to the most useful types of computer resources that are available for the classroom.
Ends each chapter with the Reflections On feature that includes the following headings—
Writing to Learn helps students focus on the important pedagogical ideas.
For Discussion and Exploration asks students to explore an issue, or reflect on an observation, or compare ideas with traditional curricula materials to stimulate thought and provoke discussion.
Recommendations for Further Reading give a short list of annotated articles and books for further study.
Suggests applicable web links in the Online Resources feature—Lists the best of the free resources on the Internet that allow students to explore a specific mathematics concept or skill.
Contains Expanded Lesson in Chapter 5—Follow the lesson structure described in the chapter and include mathematical goals, notes on preparation, specific student expectations, notes for assessment, and Blackline Masters.
Provides stronger coverage of middle school mathematics topics than any K-8 text currently available.
NEW! MyEducationLab marginal annotations -(www.myeducationlab.com). Look for the MyEducationLab logo in the margins and follow links to access the multimedia assignments in MyEducationLab site that correspond with the chapter content.
Practice test and Review Questions and Study Plan help readers test their understanding of chapter content.
Assignments and Applications
Videos of classroom-based mathematics instruction plus 22 fully integrated videos of the late John Van de Walle, one of the foremost experts on how children learn mathematics, giving workshops for practicing teachers. In the video, he discusses mathematical concepts and conduct hands-on activities with teachers. Each video is accompanied by questions that encourage readers to apply what they have learned.
Simulation Exercises, Online Resources, School Curricula (see below), Lesson Resources, downloadable Black Line Masters
Building Teaching Skills provide practice in developing the skills and characteristics that are essential to quality teaching through seven expanded lessons and video of classroom-based mathematics instruction.
Children's Literature Connections, Recommended Readings, Online Resources, and enVisionMATH K-6 Curriculum sample chapters.
To order this book WITHOUT MyEducationLab use this ISBN: 9780205573523. To order this book WITH MyEducationLab use this ISBN: 9780136101420.
to learn more about MyEducationLab.