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Strategies for Teaching Fractions
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Strategies for Teaching Fractions
Using Error Analysis for Intervention and Assessment



August 2011 | 248 pages | Corwin
Analyzing student work for error patterns (such as on a diagnostic test) and then providing timely, specific, and meaningful intervention will decrease the probability that the errors will be repeated in the future. Taking into account academic research on how students learn, Spangler provides a practical intervention model and specific hands-on materials for teachers to use when working with the many students who struggle with fractions. The step-by-step intervention strategies illustrated in this book will result in improved student performance and improved student dispositions towards mathematics. It will contain the following elements:Reproducibles for fully functional diagnostic testsPractice pages for exercises keyed to the diagnostic tests and error patterns, and pages to practice alternative algorithms and estimationTeacher resources for hands-on activities, game sheets and pieces, and more
 
Preface
 
Acknowledgments
 
About the Author
 
A Look at the Academic Research:Intervention in the Mathematics Classroom
 
Big Ideas in Fractions and Problem Solving
 
Unit 1: Fraction Concepts
 
Unit 2: Addition/Subtraction of Fractions and Mixed Numbers
 
Unit 3: Multiplication/Division of Fractions and Mixed Numbers
 
Resources: Worksheets, Activities, and Instructional Games (Blacklines)
 
Resources for Fraction Concepts
 
Resources for Addition/Subtraction of Fractions and Mixed Numbers
 
Resources for Multiplication/Division of Fractions and Mixed Numbers
 
Answers for Student Materials
 
References
 
Technology Resources Online

"This book is an exceptional reference resource that demonstrates the critical importance of error analysis. Students have complex thinking patterns, and error analysis provides a systematic method for exposing the meaning behind students’ mathematical errors. Spangler does an exceptional job of explaining error types and providing instructional strategies to target students’ errors and misconceptions."

Katharine Olson, Assistant Superintendent for Curriculum, Instruction, and Assessment
Northbrook School District 27, IL

“This text would be most useful as part of professional in-service to improve math scores. The information is research based and follows RTI, scaffolding, and differentiation of instruction. It promotes the use of academic language and provides opportunities for the students to transfer their learning. The activities promote active engagement and involvement."

Jean Krsak, Learning Support Faculty
California State University, Fullerton, CA

"If we are truly to help students understand and make sense of working with fractions, then we must find out where their weaknesses are. This book is filled with specific examples to help all teachers to work with students who are struggling with fraction concepts. After reading this book, teachers will feel confident in their abilities to teach fractions so students WILL understand."

 

Susan D'Angelo, Gifted Education Teacher
Pineview School for the Gifted, Nokomis, FL

"This is the most complete resource I have ever used for the teaching of fractions. David Spangler does an excellent job of clearly explaining the research and utilizing it to produce activities, practice exercises, diagnostics tests, error pattern explanations and much more."

Brian Kriz, Middle School Mathematics Teacher
Wood Oaks Jr. High School, Northbrook, IL

“This text provides a great depth of coverage, an in-depth discussion of the types of errors students may make, and great ideas for rectifying their misunderstanding. I think this could become the ONLY book I’d need on this subject.”

Marcia Carlson, Sixth-Grade Teacher
Crestview Elementary School, Clive, IA

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ISBN: 9781412993982

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