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Elementary and Middle School Mathematics: Teaching Developmentally / Edition 7
     

Elementary and Middle School Mathematics: Teaching Developmentally / Edition 7

3.2 5
by John A. Van de Walle, Jennifer M. Bay-Williams, Karen M. Karp
 

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ISBN-10: 0205573525

ISBN-13: 9780205573523

Pub. Date: 02/13/2009

Publisher: Pearson

“It is fun to figure out the puzzle of how children go about making sense of mathematics and then how to help teachers help kids.” John A. Van de Walle, Late of Virginia Commonwealth University

This is the philosophy behind Elementary and Middle School Mathematics: Teaching Developmentally.

Overview

“It is fun to figure out the puzzle of how children go about making sense of mathematics and then how to help teachers help kids.” John A. Van de Walle, Late of Virginia Commonwealth University

This is the philosophy behind Elementary and Middle School Mathematics: Teaching Developmentally. John A. Van de Walle wrote this book to help students understand mathematics and become confident in their ability to teach the subject to children in kindergarten through eighth grade. Although he could not have foreseen the changes in mathematics teaching over the last three decades, he was at the forefront of the movement towards a constructivist view of teaching, or teaching developmentally. Constructivism says that children construct their own knowledge. They are not blank slates waiting to absorb whatever the teacher tells them. Teachers must understand both mathematics itself and how students learn mathematics in order to teach it effectively.

Learning through problem solving is another major theme of this book. Students solve problems not just to apply mathematics, but also to learn new mathematics. Effective problems will take into account where students are, the problematic or engaging aspect of the problem must be due to the mathematics that the students are to learn and not be diluted by non-mathematical activities such as cutting or pasting, and the problem must require justifications and explanations for answers and methods. Learning then becomes an outcome of the problem solving process.

The book also addresses in more detail than any other book on the market the effect that the trends of standards-based education, increased pressure to test, and increased teacher accountability have had on teaching mathematics. He addresses the 2000 NCTM Standards in depth, in Chapter 1 on Teaching Mathematics in the Era of the NCTM Standards, through the NCTM icon that appears in the margins throughout the text, and in two appendices in the back of the book. Chapter 5 on Building Assessment into Instruction has also been heavily revised to focus on increased testing pressure, creating more explicit links between objectives and assessment, and including assessments for students with special needs. Additionally, samples of Pearson's reformed-based curricula, Connnected Math Project (5-8) as well as Investigations (K-4), are featured in the text and on the myeducationlab site.

Elementary and Middle School Mathematics: Teaching Developmentally is a book for doing math today–for both students who want to become teachers, and the students they will eventually teach.

New To This Edition:

NEW! Revises 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 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 featureFocal Points have also been added to the Appendix.

NEW! Includes expanded coverage of working with diverse learners.

NEW! Gives greater emphasis on dealing with math anxiety.

Product Details

ISBN-13:
9780205573523
Publisher:
Pearson
Publication date:
02/13/2009
Series:
MyLabSchool Series
Edition description:
Older Edition
Pages:
576
Product dimensions:
8.50(w) x 10.80(h) x 0.80(d)

Table of Contents

SECTION I.

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.

SECTION 2. DEVELOPMENT OF MATHEMATICAL CONCEPTS AND PROCEDURES.

6. Developing Early Number Concepts and Number Sense.

7. Developing Meanings for the Operations.

8. Helping Children Master the Basic Facts.

9. Whole Number Place Value Development.

10. Strategies for Whole-Number Computation.

11. Number Sense and Estimation with Whole Numbers.

12. Developing Fraction Concepts.

13. Computation with Fractions.

14. Decimal and Percent Concepts and Decimal Computation.

15. Developing Concepts of Ratio and Proportion.

16. Developing Measurement Concepts.

17. Geometric Thinking and Geometric Concepts.

18. Exploring Concepts of Probability and Data Analysis.

19. Algebraic Reasoning.

20. Exploring Functions.

21. Developing Concepts of Exponents, Integers, and Real Numbers.

SECTION 3. ISSUES AND PERSPECTIVES.

22. Planning for Effective Instruction.

23. Teaching All Children Mathematics.

24. Technology and School Mathematics.

Appendices.

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3.2 out of 5 based on 0 ratings. 5 reviews.
Guest More than 1 year ago
I have used this book for years with my preservice education students and not one semester has gone by without the majority of my students saying 'this is the one book I would even think of selling'. I have also found teachers (former students of mine) who were once in my classroom tell me that they use this book as one of their daily tools in the classroom.
Anonymous More than 1 year ago
JLOPEZCA More than 1 year ago
The book came in a trashy condition, the envelope was torn and the book was falling out of its packaging. The book itself is horrible. It came with paper of another students work. I would stay away from this seller.
JanjaOR More than 1 year ago
A must have book for both in-service and pre-service teachers. A great resource to help a teacher understand the developmental trajectory of a mathematical concept. If you have a student who is not understanding a concept, you can use this book to better understand the developmental hierarchy of skills so they can grow in their mathematical understanding. It also has great activities to support their learning.
Anonymous More than 1 year ago