MAKING SENSE OF
MATHEMATICS FOR TEACHING
to Inform Instructional Quality
MELISSA D. BOSTON
AMBER G. CANDELA
JULI K. DIXON
Copyright © 2019 by Solution Tree Press
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Printed in the United States of America
Library of Congress Cataloging-in-Publication Data
Names: Boston, Melissa, author. | Candela, Amber G., 1981- author. | Dixon, Juli K., author.
Title: Making sense of mathematics for teaching to inform instructional quality / authors: Melissa D. Boston, Amber G. Candela, and Juli K. Dixon.
Description: Bloomington, IN : Solution Tree Press, [2019] | Includes bibliographical references and index.
Identifiers: LCCN 2018040092 | ISBN 9781947604094 (perfect bound)
Subjects: LCSH: Mathematics--Study and teaching.
Classification: LCC QA11.2 .B673 2019 | DDC 510.71--dc23 LC record available at https://lccn.loc.gov/2018040092
Solution Tree
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Edmund M. Ackerman, President
Solution Tree Press
President and Publisher: Douglas M. Rife
Associate Publisher: Sarah Payne-Mills
Art Director: Rian Anderson
Managing Production Editor: Kendra Slayton
Production Editor: Alissa Voss
Senior Editor: Amy Rubenstein
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Editorial Assistant: Sarah Ludwig
“Elapsed Time Lesson” and “Decimals on a Number Line” videos licensed by University of Central Florida Research Foundation, Inc. Copyright © 2017 University of Central Florida Research Foundation, Inc. All Rights Reserved.
Acknowledgments
I want to thank my husband, David, and daughters, Lauren and Lindsey, who inspire and inform the quality of everything I do, and to express my sincere appreciation to everyone who has participated in the journey of the IQA throughout the years.
—Melissa Boston
I would like to express gratitude for my family and friends who have supported me every step of the way. I would also like to thank each and every student, teacher, and colleague I have ever taught or interacted with; you have inspired me daily and informed the quality of my instruction.
—Amber Grace Candela
My deepest love and gratitude to my family for informing my instructional quality on a daily basis and for always supporting my endeavors, wherever they might take us: my daughters, Alex and Jessica; my husband, Marc; and my parents, Joy and Harvey.
—Juli Dixon
Thank you to the team at DNA Mathematics for supporting us to build on the work of the Making Sense of Mathematics for Teaching series. Thanks also to Alissa Voss for ensuring that our message is clear, and to Sarah Payne-Mills for continuing that support. A special thanks to the students in each of the videos we shared. Much appreciation to Jeff Jones and Douglas Rife for supporting and investing in our vision. To our reviewers, thank you for taking the time to think deeply and provide such helpful feedback about our work.
—Melissa Boston, Amber Grace Candela, and Juli Dixon
Solution Tree Press would like to thank the following reviewers:
Kristopher J. Childs
Assistant Professor of STEM Education
Texas Tech University
Lubbock, Texas
Samuel Martinez
Elementary Math Manager II
Fresno Unified School District
Fresno, California
Nicole Rigelman
Professor of Mathematics Education
Portland State University
Portland, Oregon
Mike Schrimpf
Assistant Head of School
Premier Charter School
St. Louis, Missouri
AnnMarie Varlotta
Math Instructional Support Teacher of Secondary Mathematics
Howard County Schools
Howard County, Maryland
Mary Velez
Mathematics Teacher
Roy C. Ketcham High School
Wappingers, New York
Visit go.SolutionTree.com/mathematics to download the free reproducibles in this book.
Table of Contents
The Importance of Making Sense of Mathematics for Teaching
PART 1: Connecting to the T in TQE: Tasks and Task Implementation