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

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9781412993982: Strategies for Teaching Fractions: Using Error Analysis for Intervention and Assessment

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 describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Aligned with NCTM and Common Core State Standards, the research-based, targeted interventions for each error pattern promoted teaching for conceptual understanding. Practical materials include:

  • Reproducibles for diagnostic tests
  • Practice pages for exercises keyed to the diagnostic tests and error patterns
  • Teacher resources for hands-on activities, game sheets and pieces, and more

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About the Author:

David B. Spangler is the recipient of the 2014 Lee E. Yunker Mathematics Leadership Award, sponsored by the Illinois Council of Teachers of Mathematics. The award honors an Illinois teacher for providing outstanding resources to mathematics teachers. David has devoted his professional career of more than 40 years to mathematics education. He began as a middle-school mathematics teacher in an individualized setting. Later he taught at Triton Community College, where he gained direct experience interacting with struggling students in a developmental math laboratory. Currently he teachers mathematics methods courses through National-Louis University and ActiveMath Workshops, a professional development company he co-founded in 1994 (activemath.com). Some of the methods courses and workshops he facilitates address special needs students, intervention, computation, and error analysis at the elementary level. His workshops are designed to help teachers implement the Common Core State Standards for Mathematics. David has literally worked with thousands of students and teachers during his career.

For many years David has worked as a mathematics textbook editor at the K–12 level. He has authored several books and has written numerous articles for mathematics journals, such as the popular "Cartoon Corner" for Mathematics Teaching in the Middle School.

As an educator, David’s goal has always been to teach mathematics for meaning rather than in a way that promotes rote memorization. Strategies for Teaching Whole Number Computation and Strategies for Teaching Fractions were written to help teachers achieve that goal. David’s other professional goals include exploring ways to teach mathematics through engaging, real-world applications and to explore humorous aspects to mathematics, especially mathematical blunders that illustrate mathematics illiteracy. David is a frequent speaker at conferences of the National Council of Teachers of Mathematics and other professional organizations, addressing teaching mathematics for meaning, teaching mathematics through real-world applications, and teaching mathematics through humor. He also delivers after-dinner talks on the subject of mathematical humor.

David lives with his wife, Bonnie, in Northbrook, Illinois. They have three grown children, Ben, Jamie, and Joey.

Review:

""This book is an exceptional reference resource thatdemonstrates 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 (03/25/2011)"

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 (03/25/2011)"

"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 (06/15/2011)"

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 (10/03/2011)"

"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 (03/25/2011)"

"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 (06/15/2011)"

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 (03/25/2011)"

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 (10/03/2011)"

"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 (03/25/2011)

"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 (03/25/2011)

"About this title" may belong to another edition of this title.

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Book Description SAGE Publications Inc, United States, 2011. Paperback. Book Condition: New. Language: English . Brand New Book. 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. Bookseller Inventory # FLT9781412993982

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Book Description Corwin. Paperback. Book Condition: New. 248 pages. Dimensions: 10.9in. x 8.5in. x 0.7in.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 describes powerful diagnostic methods for error analysis that pinpoint specific student misconceptions and supplies specific intervention strategies and activities for each error pattern. Aligned with NCTM and Common Core State Standards, the research-based, targeted interventions for eacherror pattern promoted teaching for conceptual understanding. Practical materials include: Reproducibles for diagnostic tests Practice pages for exercises keyed to the diagnostic tests and error patterns Teacher resources for hands-on activities, game sheets and pieces, and more This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Bookseller Inventory # 9781412993982

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