"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