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Beyond Pizzas & Pies: 10 Essential Strategies for Supporting Fraction Sense, Grades 3–5
Beyond Pizzas & Pies: 10 Essential Strategies for Supporting Fraction Sense, Grades 3–5
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Combining current research and practical strategies, this must-have book supports teachers in addressing students’ common misconceptions about fractions as they guide their students in investigating and discussing fractions to expand and refine their understanding. In each chapter, the authors discuss one common dilemma that students have with fractions and present classroom strategies and activities for preventing and addressing it. Includes reproducibles.

Study questions at the end of each chapter


icon pdf Download an article by Julie McNamara and Meghan M. Shaughnessy, Student Errors: What Can They Tell Us About What Students DO Understand?.

icon pdf Correlations with Curricula

icon pdf Correlations to CCSS

icon pdf NCTM Standards Alignment

Julie McNamara and Meghan M. Shaughnessy
Foreword by Francis (Skip) Fennell
184 Pages


ISBN/Item Number: 9781935099130
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  • Praise for...
  • Author Bio
  • Awards

icon pdf Endorsements

"Beyond Pizzas and Pies is smart, accessible, and usable. McNamara and Shaughnessy assemble the key resources and insights teachers need to help students develop robust understanding of fractions. Clear explanations of the specific mathematical ideas and research on key challenges for learners are coordinated with focused instructional tasks and detailed guidance for their use in the classroom. The tasks develop complex mathematical proficiency by combining work on concepts with skill development and the ability to use representations and to reason about fractions."

Deborah Loewenberg Ball, William H. Payne Collegiate Professor
University of Michigan


"The authors are right on — developing 'fraction sense' is one of the most difficult tasks of new (or experienced) teachers. This book provides a wonderful resource for helping teachers help their students become truly fluent with fractions."

Barbara Reys, President
Association of Mathematics Teacher Educators


Read more praise for Beyond Pizzas and Pies

Read a review of Beyond Pizzas and Pies from the June 2011 issue of the CMC Communicator

Julie McNamara works for the Center for Mathematics Excellence and Equity at the University of California, Berkeley, providing professional development and classroom coaching to teachers. She also has taught third, fourth, and fifth grades in local public schools. Julie received a Ph.D. in mathematics education from UC Berkeley and has instructed elementary mathematics methods there and at Saint Mary’s College in Moraga, California.

Meghan M. Shaughnessy is a postdoctoral research fellow at the School of Education at the University of Michigan. Her research focuses on the teaching and learning of elementary mathematics. She designs and studies innovative professional development materials for practicing teachers and teaches mathematics methods courses for preservice elementary teachers. Meghan received a Ph.D. in mathematics education from the University of California, Berkeley.

2011 Finalist Distinguished Achievement Award: Professional Development: Curriculum

The Association of Educational Publishers (AEP) Awards seal is recognized by teachers and parents as a mark of excellence in education. Finalist or winner status in the awards tells readers that the product has met rigorous standards for quality, professional content for education.

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