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Error Patterns in Computation

ISBN-10: 0131198866
ISBN-13: 9780131198869
Edition: 9th 2006 (Revised)
List price: $29.80
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Description: Reflecting many of the concerns of NCTMs 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  More...

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Book details

List price: $29.80
Edition: 9th
Copyright year: 2006
Publisher: Prentice Hall PTR
Binding: Paperback
Pages: 288
Size: 6.00" wide x 9.00" long x 0.50" tall
Weight: 0.792
Language: English

Reflecting many of the concerns of NCTMs 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.nbsp;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.nbsp;This book is an ideal resource for teachers of mathematics in education or special education at the elementary or middle school level.

Robert Ashlockbegan his career in 1957 as a fourth and fifth grade teacher with a bachelorrsquo;s degree in elementary education. He later received a masterrsquo;s degree in elementary school administration from Butler University and a doctorate in elementary education from Indiana University. He became a graduate assistant and teaching associate at Indiana University in 1964 and went on to teach at several institutions including the University of Maryland, Reformed Theological Seminary, Belhaven College, and finally, Covenant College in Lookout Mountain, Georgia.nbsp; Ashlock came to Covenant in 1988 to fill the need for a specialist in elementary education who could also teach on the graduate level.nbsp; He directed the Master of Education Program, taught both undergraduate and graduate education courses, and coordinated the process necessary for the teacher education program to be approved by the Georgia Professional Standards Commission. nbsp; He is one of only two professors ever to receive the title Professor Emeritus at Covenant.nbsp; He is known throughout the education community for his book,Error Patterns in Computation: Using Error Patterns to Improve Instruction, which is currently in its tenth edition. Although retired, Ashlock continues to teach a few classes.

Diagnosis and Instruction
Number and Operations: Computation
Instruction in Mathematics
Computational Fluency
Algorithms
Conceptual Learning and Procedural Learning
Error Patterns in Computation
Paper-and-Pencil Procedures Today
Diagnosing Misconceptions and Error Patterns in Computation
Learning Misconceptions and Error Patterns
Overgeneralizing
Overspecializing
Encouraging Self-Assessment
Interviewing
Getting at a Student's Thinking
Observing Student Behavior
Recording Student Behavior
Watching Language: Ours and Theirs
Probing for Key Understandings
Designing Questions and Tasks
Using Graphic Organizers for Diagnosis
Using Tests
Guiding Diagnosis in Computation
Reflecting on Diagnosis of Misconceptions and Error Patterns
Providing Data-Driven Instruction in Computation
Developing Number Sense
Helping Students Understand Big Ideas
Numeration
Equals and Equivalent
Other Concepts and Principles
Using Models and Concrete Materials
Helping Students Understand Operations
Attaining Computational Fluency
Teaching Mental Computation
Teaching Students to Estimate
Teaching Students to Use Calculators
Teaching Paper-and-Pencil Procedures
Instruction in Grades 1-2
The Role of Manipulatives
Developmental Instruction
Corrective Instruction
Students with Learning Disabilities
Developing Mathematical Vocabulary
Talking and Writing Mathematics
Using Graphic Organizers for Instruction
Understanding and Recalling Basic Number Combinations
Using Alternative Algorithms
Addition of Whole Numbers: Hutchings's Low-Stress Method
Subtraction of Whole Numbers: The Equal Additions (or European-Latino) Method
Subtraction of Rational Numbers: The Equal Additions Method
Involving Peers
Using Portfolios to Monitor Progress During Instruction
Working with Parents
Guiding Instruction
Focus on the Student
Involve Parents
Teach Concepts and Skills
Provide Instruction
Use Concrete Materials
Provide Practice
Reflecting on Instruction in Computation
Helping Students Who Have Learned Error Patterns
Whole Numbers: Addition and Subtraction
Identifying Patterns
Planning Instruction
Conclusion
Whole Numbers: Multiplication and Division
Identifying Patterns
Planning Instruction
Conclusion
Fractions and Decimals: Concepts and Equivalence
Identifying Patterns
Planning Instruction
Conclusion
Fractions and Decimals: Addition and Substraction
Identifying Patterns
Planning Instruction
Conclusion
Fractions and Decimals: Multiplication and Division
Identifying Patterns
Planning Instruction
Conclusion
Percent and Proportion
Identifying Patterns
Planning Instruction
Conclusion
Geometry and Measurement
Identifying Patterns
Planning Instruction
Conclusion
Integers
Identifying Patterns
Planning Instruction
Conclusion
Algebra
Identifying Patterns
Planning Instruction
Conclusion
Glossary
Selected Resources
Assessment and Diagnosis
Instruction
Appendices
Selected Student Papers and Key

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