Elementary and Middle School Mathematics : Teaching Developmentally

by Van De Walle, John A.

• ISBN13: 9780801332531
• ISBN10: 0801332532
• Edition: 4th
• Format: Paperback
• Copyright: 2000-07-01
• Publisher: Prentice Hall

Summary

This best-selling text helps students make sense of mathematics and become confident in their ability to teach mathematics to children K to 8. It thoroughly discusses the new NCTM Standards and clearly develops four key aspects of teaching mathematicsthe nature of mathematics as a science of pattern and order; an understanding of how children learn mathematics; a problem solving view of teaching mathematics; and specific methods for integrating assessment with instruction. The 16 content chapters reflect the view that all mathematics can be taught through a problem-solving approach that motivates students and builds their confidence as they learn. Elementary and Middle School Mathematics includes an astonishing wealth of activities, as well as the pedagogical features developed in previous editions.

Table of Contents

Detailed Contents	v
Preface	xv
SECTION 1 FOUNDATIONS OF TEACHING MATHEMATICS	1	(84)
Teaching Mathematics in the Context of the Reform Movement	3	(12)
Exploring What It Means to Do Mathematics	15	(11)
Developing Understanding in Mathematics	26	(14)
Teaching Through Problem Solving	40	(22)
Building Assessment into Instruction	62	(23)
SECTION 2 DEVELOPMENT OF MATHEMATICAL CONCEPTS AND PROCEDURES	85	(350)
Developing Early Number Concepts and Number Sense	87	(20)
Developing Meanings for the Operations	107	(21)
Helping Children Master the Basic Facts	128	(21)
Whole-Number Place-Value Development	149	(22)
Strategies for Whole-Number Computation	171	(23)
Number Sense and Estimation with Whole Numbers	194	(15)
Developing Fraction Concepts	209	(19)
Computation with Fractions	228	(15)
Decimal and Percent Concepts and Decimal Computation	243	(17)
Developing Concepts of Ratio and Proportion	260	(17)
Developing Measurement Concepts	277	(29)
Geometric Thinking and Geometric Concepts	306	(46)
Exploring Concepts of Probability and Data Analysis	352	(32)
Algebraic Reasoning	384	(19)
Exploring Functions	403	(16)
Developing Concepts of Exponents, Integers, and Real Numbers	419	(16)
SECTION 3 ISSUES AND PERSPECTIVES	435	(30)
Planning for Effective Instruction	437	(13)
Teaching All Children Mathematics	450	(15)
Technology and School Mathematics	465
Appendix A Principles and Standards for School Mathematics: Content Standards and Grade Level Expectations	1
Appendix B Professional Standards for Teaching Mathematics: Teaching Standards	1
References	R-1
Index	1
Blackline Masters and Materials Construction Tips	1