Making Sense of Mathematics for Teaching to Inform Instructional Quality. Juli K. Dixon

Making Sense of Mathematics for Teaching to Inform Instructional Quality

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MAKING SENSE OF

MATHEMATICS FOR TEACHING

to Inform Instructional Quality

MELISSA D. BOSTON

AMBER G. CANDELA

JULI K. DIXON

Materials appearing here are copyrighted. With one exception, all rights are reserved. Readers may reproduce only those pages marked “Reproducible.” Otherwise, no part of this book may be reproduced or transmitted in any form or by any means (electronic, photocopying, recording, or otherwise) without prior written permission of the publisher.

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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

Jeffrey C. Jones, CEO

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

Copy Editor: Miranda Addonizio

Proofreader: Jessi Finn

Text and Cover Designer: Abigail Bowen

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