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The focus of Beyond Pizzas & Pies, Second Edition, is on foundational understandings. The authors help teachers and students understand fractions as numbers, including the use of equivalency and thinking about benchmark numbers, so that when students start to compute with fractions (see the companion volume, Beyond Invert & Multiply), they have a solid foundation. You'll find:
Classroom Scenarios that address common challenges students (and teachers!) encounter as they acquire an understanding of fractions;
What's the Math? sections intended to clarify the mathematics;
What's the Research? insights that show why that's the way we've always done things might not be the most successful approach;
Classroom Activities with friendly, step-by-step instructions and video clips demonstrating how to teach the concepts;
Reproducibles that are also available in a downloadable, printable format;
Study Questions at the end of each chapter that encourage readers to set concrete goals for implementing what they ve read; and
Connections to the Common Core for those states implementing the Common Core State Standards for Mathematics.
The accompanying DVD features 30 video clips filmed in actual classrooms. Clips range from 1 minute to 6 minutes in length with a total viewing time of approximately 70 minutes.
- Sales Rank: #266977 in Books
- Published on: 2015-02-11
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x .50" w x 7.38" l, .0 pounds
- Binding: Paperback
- 232 pages
Review
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
McNamara and Shaughnessy's splendid work guides student understanding of fractions by engaging them in a relevant and thoughtful method. The authors bridge fundamental gaps between concept and application, using challenging and fun exercises that demonstrate these principals through visual and hands-on activities.Beyond Pizzas and Pies is an outstanding guide to a difficult unit on which so many mathematical concepts rely. --Rebecca Gris, GATE teacher, grades 2 3 Boise Schools, Boise, Idaho
About the Author
Julie McNamara is an Assistant Professor of Mathematics Education at California State University, East Bay in Hayward, California. She has also served as Mathematics Specialist with TeachingWorks at the University of Michigan. Julie spent two years supporting elementary and middle school teachers as a fulltime designer and provider of mathematics professional development for Math Solutions, and continues to consult for Math Solutions part-time. She has also taught mathematics methods in the elementary credential programs at the University of California, Berkeley and at Saint Mary s College in Moraga, California. She is a former classroom teacher in the San Francisco Bay Area. Her experience in the classroom led her to pursue graduate studies in the Development in Mathematics and Science program at the University of California, Berkeley, and to earn her master s degree and Ph.D. in mathematics education. Her research focuses on the teaching and learning of mathematics concepts that are foundational but considered hard to teach and hard to learn. Julie is co-author of Beyond Pizzas & Pies: 10 Essential Strategies for Supporting Fraction Sense, 2010, as well as Beyond Pizzas & Pies: 10 Essential Strategies for Supporting Fractions Sense, Second Edition, 2015. In addition, Julie has written a follow up fraction book, Beyond Invert & Multiply: Making Sense of Fraction Computation, Grades 3-6, 2015, all published by Math Solutions.
Most helpful customer reviews
3 of 3 people found the following review helpful.
Phenomenal, and well worth it
By Thom Wright
McNamara's book on fraction sense is expertly crafted and includes deep insights into the foundations of fractions and how to help guide student understanding. The DVD is well-designed, with helpful examples of the lessons included in the book. The reproducibles are available, for free, online. (Just make sure you don't include the semicolon like the back of the book has or else the link won't work!) However, other than the DVD, the updated version is no gigantic leap over the original. If you won't view the DVDs, you may wish to buy the first edition. The reproducibles are available no matter which version you get! Nonetheless, this book is a splendid resource for any math teacher's aiming to increase their students' fraction sense.
1 of 1 people found the following review helpful.
The DVD of lesson clips included in the book provides great preparation for actually teaching the lessons
By Lu Ann Weynand
Julie McNamara's book on fraction sense includes both research and classroom-based experiences that serve to deepen a teacher's understanding of the foundations of fractions and provide resources to guide student understanding. The DVD of lesson clips included in the book provides great preparation for actually teaching the lessons.
0 of 0 people found the following review helpful.
Fractions taught in Fractions
By Judy Kennedy
My RSP students need support in working with fractions and this book is going to be very helpful. It breaks down the concepts so students get that deep understanding of what a fraction is before the start working with them.
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