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Error Patterns in Computation: Using Error Patterns to Help Each Student Learn, 10th edition

  • Robert B. Ashlock

Published by Pearson (January 13th 2009) - Copyright © 2010

10th edition

Error Patterns in Computation: Using Error Patterns to Help Each Student Learn

ISBN-13: 9780135009109

Includes: Paperback
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$42.66 $53.32

What's included

  • Paperback

    You'll get a bound printed text.

Overview

 

Error Patterns in Computation:  Using Error Patterns to Help Each Student Learn, Tenth Edition

Robert B. Ashlock, Covenant College

 

The only text of its kind to show teachers how to identify common error patterns in mathematics! 

 

As students learn about mathematical operations and methods of computation, they may adopt erroneous procedures and misconceptions.  This engaging book was written to model how the instructor can make thoughtful analyses of their students’ work and in so doing, discover patterns in errors made.  This supplementary text guides teachers to consider reasons why students may have learned erroneous procedures in the first place and presents strategies for helping those students.  Readers come away from the book with a clear vision of how to use student error patterns to gain more specific knowledge of students' understanding and to use that information to inform their future instruction. 

 

In addition to being substantially revised, the new edition offers greater emphasis on the following important topics:

  • Use of diagnosis as a part of formative assessment, including open-ended assessment and problem writing as examples
  • Application of Big Ideas--including compensation principles, relations between operations, and “There are many names for a number”--to form connections among facts, procedures, and concepts by applying big ideas
  • Distinction between misconceptions and error patterns in computation
  • Understanding of our system of numeration
  • Understanding the meanings of operations of arithmetic so students will know when to use each operation when solving problems
  • Representation of concepts and procedures in a variety of ways
  • Use of classroom discourse, careful listening, and probing questions
  • Assessment of dispositions
  • Planning for varied instruction

 

 

Table of contents

Part I: Misconceptions and Error Patterns
1. Computation, Misconceptions, and Error Patterns
2. Error Patterns: Addition and Subtraction with Whole Numbers
3. Error Patterns: Multiplication and Division with Whole Numbers
4. Misconceptions and Error Patterns: Concepts and Equivalents with Fractions and Decimals
5. Error Patterns: Addition and Subtraction with Fractions and Decimals
6. Error Patterns: Multiplication and Division with Fractions and Decimals
7. Introduction to Misconceptions and Error Patterns: Geometry and Measurement
8. Introduction to Misconceptions and Error Patterns: Percent, Proportion, Integers, and Algebra

Part II: Diagnosis and Instruction
9. Diagnosing Misconception and Error Patters in Computation and in Other Mathematical Topics
10. Providing Data-Driven Instruction in Computation
11. Enriching Instruction in Computation and Other Mathematical Topics

Glossary
Key for Additional Practice
Selected Resources
Appendices



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