THE NEW
Art and Science
OF TEACHING
Mathematics
NATHAN D. LANG-RAAD ROBERT J. MARZANO
Copyright © 2019 by Solution Tree Press
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Library of Congress Cataloging-in-Publication Data
Names: Lang, Nathan D., author. | Marzano, Robert J., author.
Title: The new art and science of teaching mathematics / Nathan D. Lang-Raad and Robert J. Marzano.
Description: Bloomington, IN : Solution Tree Press, [2019] | Includes bibliographical references and index.
Identifiers: LCCN 2018042848 | ISBN 9781945349652 (perfect bound)
Subjects: LCSH: Mathematics--Study and teaching. | Mathematics teachers--Training of. | Effective teaching. | Teaching--Aids and devices. | Learning, Psychology of.
Classification: LCC QA11.2 .L342 2019 | DDC 510.71--dc23 LC record available at https://lccn.loc.gov/2018042848
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Edmund M. Ackerman, President
Solution Tree Press
President and Publisher: Douglas M. Rife
Associate Publisher: Sarah Payne-Mills
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Managing Production Editor: Kendra Slayton
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I dedicate this book to my husband, Herbie Raad. Your unending support, encouragement, creativity, and love inspires me to aim higher than I ever could have on my own. You kept me on schedule, edited and proofed, and gave me the best advice. Thank you for being you. I love you so.
—Nathan Lang-Raad
Visit go.SolutionTree.com/instruction to download the free reproducibles in this book.
Table of Contents
The Need for Subject-Specific Models
1 Providing and Communicating Clear Learning Goals
Element 1: Providing Scales and Rubrics
Element 2: Tracking Student Progress
Element 3: Celebrating Success
Element 4: Using Informal Assessments of the Whole Class
Element 5: Using Formal Assessments of Individual Students
Summary
3 Conducting Direct Instruction Lessons
Element 7: Processing Content
Element 8: Recording and Representing Content
Summary
4 Conducting Practicing and Deepening Lessons
Element 9: Using Structured Practice Sessions
Element 10: Examining Similarities and Differences
Element 11: Examining Errors in Reasoning
Summary
5 Conducting Knowledge Application Lessons
Element 12: Engaging Students in Cognitively Complex Tasks
Element 13: Providing Resources and Guidance
Element 14: Generating and Defending Claims
Summary
6 Using Strategies That Appear in All Types of Lessons
Element 15: Previewing Strategies