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Strategies for Teaching Fractions

Strategies for Teaching Fractions
Using Error Analysis for Intervention and Assessment

August 2011 | 248 pages | Corwin

Any way you slice it, fractions are foundational

Many students struggle with fractions and must understand them before learning higher-level math. Veteran educator David B. Spangler provides research-based tools that are aligned with NCTM and Common Core State Standards. He describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Also included are tools for analyzing student work and providing timely, specific, and meaningful interventions within an RTI framework. The targeted interventions for each error pattern promote teaching for conceptual understanding and are supported by documented academic research. Practical materials include:

  • Reproducibles for diagnostic tests
  • Practice pages for exercises keyed to the diagnostic tests and error patterns
  • Pages for practicing alternative algorithms and estimation
  • Teacher resources for hands-on activities, game sheets and pieces, and more
  • Worksheets, answer keys, and online resources

Each main unit, along with the sections on academic research and "Big Ideas," concludes with a set of teacher reflection questions for use in a professional development setting. Get ready, get set, and help your students tackle fractions with confidence!

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
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

For instructors

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ISBN: 9781452269610

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