The New Art and Science of Teaching Mathematics. Robert J. Marzano
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THE NEW
Art and Science
OF TEACHING
Mathematics
NATHAN D. LANG-RAAD ROBERT J. MARZANO
Copyright © 2019 by Solution Tree Press
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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Printed in the United States of America
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