Teaching-Math-Middle-School-Excerpt
Total Page:16
File Type:pdf, Size:1020Kb
FOR MORE, go to https://products.brookespublishing.com/Teaching-Math-in-Middle-School-P1132.aspx Teaching Math in Middle School Using MTSS to Meet All Students’ Needs Excerpted from Teaching Math in Middle School, By Leanne R. Ketterlin-Geller Ph.D., Sarah R. Powell Ph.D., David J. Chard Ph.D., Lindsey Perry Ph.D. Ketterlin-Geller-FM_Final.indd 1 5/20/19 11:39 PM FOR MORE, go to https://products.brookespublishing.com/Teaching-Math-in-Middle-School-P1132.aspx Teaching Math in Middle School Using MTSS to Meet All Students’ Needs by Leanne R. Ketterlin-Geller, Ph.D. Southern Methodist University Dallas, Texas Sarah R. Powell, Ph.D. The University of Texas at Austin David J. Chard, Ph.D. Boston University Massachusetts and Lindsey Perry, Ph.D. Southern Methodist University Dallas, Texas Baltimore • London • Sydney Excerpted from Teaching Math in Middle School, By Leanne R. Ketterlin-Geller Ph.D., Sarah R. Powell Ph.D., David J. Chard Ph.D., Lindsey Perry Ph.D. Ketterlin-Geller-FM_Final.indd 3 5/20/19 11:39 PM FOR MORE, go to https://products.brookespublishing.com/Teaching-Math-in-Middle-School-P1132.aspx Paul H. Brookes Publishing Co. Post Office Box 10624 Baltimore, Maryland 21285-0624 USA www.brookespublishing.com Copyright © 2019 by Paul H. Brookes Publishing Co., Inc. All rights reserved. “Paul H. Brookes Publishing Co.” is a registered trademark of Paul H. Brookes Publishing Co., Inc. Typeset by Absolute Services Inc., Towson, Maryland. Manufactured in the United States of America by Sheridan Books, Chelsea, Michigan. Unless otherwise stated, examples in this book are composites. Any similarity to actual individuals or circumstances is coincidental, and no implications should be inferred. Chapter 17, Implementing MTSS: Voices From the Field, features excerpts from interviews with teach- ers and other educational professionals. Interview material has been lightly edited for length and clarity. Interviewees’ responses, real names, and identifying details are used by permission. Library of Congress Cataloging-in-Publication Data Names: Ketterlin-Geller, Leanne R., 1971- author. | Powell, Sarah Rannells, author. | Chard, David, author. | Perry, Lindsey, author. Title: Teaching math in middle school : using MTSS to meet all students’ needs / by Leanne R. Ketterlin-Geller, Ph.D. (Southern Methodist University, Dallas, Texas), Sarah R. Powell, Ph.D. (The University of Texas at Austin), David J. Chard, Ph.D. (Boston University), and Lindsey Perry, Ph.D. (Southern Methodist University, Dallas, Texas). Description: Baltimore : Paul H. Brookes Publishing Co., 2019. | MTSS, multi-tiered systems of support. | Includes bibliographical references and index. Identifiers: LCCN 2018056217 | ISBN 9781598572742 (pbk.) | ISBN 9781681253466 (epub) | ISBN 9781681253473 (pdf) Subjects: LCSH: Mathematics—Study and teaching (Middle school) | Numeracy— Study and teaching (Middle school) | Response to intervention (Learning disabled children) Classification: LCC QA135.6 .T4245 2019 | DDC 372.7/049—dc23 LC record available at https://lccn.loc.gov/2018056217 British Library Cataloguing in Publication data are available from the British Library. 2023 2022 2021 2020 2019 10 9 8 7 6 5 4 3 2 1 Excerpted from Teaching Math in Middle School, By Leanne R. Ketterlin-Geller Ph.D., Sarah R. Powell Ph.D., David J. Chard Ph.D., Lindsey Perry Ph.D. Ketterlin-Geller-FM_Final.indd 4 5/20/19 11:39 PM FOR MORE, go to https://products.brookespublishing.com/Teaching-Math-in-Middle-School-P1132.aspx Contents About the Downloadable Materials .................................................. vii About the Authors ..................................................................... ix Foreword Robert Q. Berry, III ..................................................... xi Preface ............................................................................... xiii Section I: Building Numeracy in Middle School Students .................... 1 Chapter 1 Laying the Foundation for Algebra ............................................... 3 Chapter 2 Supporting All Students Through Multitiered Instruction ................... 23 Chapter 3 Supporting All Students Through Differentiation, Accommodation, and Modification ............................................. 35 Section II: Designing and Delivering Effective Mathematics Instruction .......................................... 49 Chapter 4 Aims for Effective Mathematics Instruction ................................... 51 Chapter 5 Evidence-Based Practices for Instruction and Intervention .................. 65 Chapter 6 Instructional Practices to Support Problem Solving ........................... 81 Chapter 7 Designing Interventions ........................................................ 95 Chapter 8 Implementing Interventions Within a Multitiered Framework ........................................................ 107 Section III: Using Data to Make Decisions ................................... 119 Chapter 9 Why Should We Assess? ....................................................... 121 Appendix: Team-Building Activity ............................................ 137 Chapter 10 Who Needs Extra Assistance, and How Much? Universal Screeners ............................................................ 141 Chapter 11 Why Are Students Struggling? Diagnostic Assessments ..................... 159 v Excerpted from Teaching Math in Middle School, By Leanne R. Ketterlin-Geller Ph.D., Sarah R. Powell Ph.D., David J. Chard Ph.D., Lindsey Perry Ph.D. Ketterlin-Geller-FM_Final.indd 5 5/20/19 11:39 PM FOR MORE, go to https://products.brookespublishing.com/Teaching-Math-in-Middle-School-P1132.aspx vi Contents Chapter 12 Is the Intervention Helping? Progress Monitoring ........................... 173 Chapter 13 Have Students Reached Their Goals? Summative Assessments ............. 189 Section IV: Implementing MTSS to Support Effective Teaching ............. 201 Chapter 14 MTSS in Action ................................................................ 203 Chapter 15 Assessing Your School’s Readiness for MTSS Implementation .............. 215 Chapter 16 Collaboration as the Foundation for Implementing MTSS ................... 227 Chapter 17 Implementing MTSS: Voices From the Field. 241 References ........................................................................... 251 Index ................................................................................. 259 Excerpted from Teaching Math in Middle School, By Leanne R. Ketterlin-Geller Ph.D., Sarah R. Powell Ph.D., David J. Chard Ph.D., Lindsey Perry Ph.D. Ketterlin-Geller-FM_Final.indd 6 5/20/19 11:39 PM FOR MORE, go to https://products.brookespublishing.com/Teaching-Math-in-Middle-School-P1132.aspx About the Downloadable Materials Purchasers of this book may download, print, and/or photocopy the forms provided for implementing multi-tiered systems of support/response to intervention (MTSS/RTI) for professional use. These materials appear in the print book and are also available at http://downloads.brookespublishing.com for both print and e-book buyers. To access the materials that come with the book 1. Go to the Brookes Publishing Download Hub: http://downloads .brookespublishing.com 2. Register to create an account (Or log in with an existing account) 3. Filter or search for your book title vii Excerpted from Teaching Math in Middle School, By Leanne R. Ketterlin-Geller Ph.D., Sarah R. Powell Ph.D., David J. Chard Ph.D., Lindsey Perry Ph.D. Ketterlin-Geller-FM_Final.indd 7 5/20/19 11:39 PM FOR MORE, go to https://products.brookespublishing.com/Teaching-Math-in-Middle-School-P1132.aspx About the Authors Leanne R. Ketterlin-Geller, Ph.D., is Professor and the Texas Instruments Chair in Education at Southern Methodist University. Her research focuses on the devel- opment and validation of formative assessment systems in mathematics that pro- vide instructionally relevant information to support students with diverse needs. She works nationally and internationally to support achievement and engagement in mathematics and other STEM disciplines. Sarah R. Powell, Ph.D., is Associate Professor in the Department of Special Education at the University of Texas at Austin. Sarah conducts research related to mathematics interventions for students with learning difficulties. Her work is cur- rently supported by the Institute of Education Sciences, National Science Foundation, T.L.L. Temple Foundation, and Office of Special Education Programs of the U.S. Department of Education. David J. Chard, Ph.D., is Dean ad interim of Boston University’s Wheelock College of Education and Human Development and Professor of Special Education. Prior to coming to BU, Dr. Chard served as the 14th President of Wheelock College. He was also founding dean of the Simmons School of Education and Human Development at Southern Methodist University in Dallas, Texas. He is a member of the International Academy for Research in Learning Disabilities and has been a classroom teacher in California, Michigan, and in the U.S. Peace Corps in Lesotho in southern Africa. He served on the Board of Directors of the National Board for Education Sciences for two terms from 2012-2019. Lindsey Perry, Ph.D., is Research Assistant Professor at Southern Methodist University, Dallas, Texas. Her research focuses on improving students’ mathematics knowledge, particularly at the elementary and middle school grades, by better under- standing how children reason relationally and spatially. Her work also includes the development of technically adequate