Beyond Invert and Multiply, Grades 3-6 Making Sense of Fraction Computation

 Beyond Invert & Multiply builds on the foundational understandings that are described in Beyond Pizzas & Pies: 10 Essential Strategies for Supporting Fraction Sense, Second Edition, and applies them to situations involving fraction computation. You’ll find:
• Classroom Scenarios that address common challenges students (and teachers!) encounter as they learn to operate with 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 more than 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.

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.