Synopses & Reviews
Reflecting many of the concerns of NCTM's Principles and Standards for School Mathematics, the ninth edition of Error Patterns in Computation is the only book available that assists teachers with identifying typical error patterns, receiving feedback on their diagnosis, and gaining insight regarding why a child may have adopted an incorrect procedure. Two major causes of error patterns - over-generalizing and over-specializing - are discussed. Simple and well organized, this book explains common errors students make in computation in every math operation and with whole numbers, rational numbers, geometry and algebra. This book is an ideal resource for teachers of mathematics in education or special education at the elementary or middle school level.
Synopsis
This book is the only one of its kind that instructs teachers to identify typical error patterns, to receive feedback on their diagnosis, and to gain insight regarding why a child may have adopted an incorrect procedure. Revised to link content to the new NCTM Standards, this new edition emphasizes the meaning of operations and using the appropriate method of computation. As in previous editions, it retains its focus on placing paper-and pencil instructional activities within the context of problem solving. Chapter topics cover diagnosing misconceptions and error patterns in computation, providing needed instruction in computation, and helping students who have learned error patterns. For mathematics teachers of special education classes or at the middle school level.
Table of Contents
PART I DIAGNOSIS AND INSTRUCTION Chapter 1 Number and Operations: Computation
Chapter 2 Diagnosing Misconceptions and Error Patterns in Computation
Chapter 3 Providing Data-Driven Instruction in Computation
PART II HELPING STUDENTS WHO HAVE LEARNED ERROR PATTERNS
Chapter 4 Whole Numbers: Addition and Subtraction
Chapter 5 Whole Numbers: Multiplication and Division
Chapter 6 Fractions and Decimals: Concepts and Equivalence
Chapter 7 Fractions and Decimals: Addition and Subtraction
Chapter 8 Fractions and Decimals: Multiplication and Division
Chapter 9 Percent and Proportion
Chapter 10 Geometry and Measurement
Chapter 11 Integers
Chapter 12 Algebra
Glossary
Selected Resources
Appendices