Edward C Nolan - Making Sense of Mathematics for Teaching Grades 6-8

Grades 68

EDWARD C. NOLAN

JULI K. DIXON

GEORGE J. ROY

JANET B. ANDREASEN

Copyright 2016 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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Solution Tree Press

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Many thanks to my family, Michele and Calvin, for the wonderful support they continue to provide me in all of my endeavors. Many thanks to the Dixon Nolan Adams Mathematics associates who worked as a collaborative team in providing feedback on the content of this book. And finally, thanks to Jeff Jones, Douglas Rife, and Stefan Kohler from Solution Tree for helping us and believing in us and our vision for making sense of mathematics for teaching.

Ed Nolan

My deepest love and gratitude to my daughters, Alex and Jessica, who continue to allow me to understand mathematics more deeply through their eyes, and to my husband, Marc, who supports me to spend countless hours doing so. I also wish to thank our author teamEd, George, and Janetfor the wonderful collaborative environment they supported while writing this book.

Juli Dixon

It is because of the encouragement of many individuals that I have realized a dream! To that point, I would like to thank my girls, Tiffany and Izzy. My life is complete with you both! To my parents, you are my role models. Mom, I am constantly amazed at your faith. Dad, you may not be here to see this book, but your message to never give up is something that I live by. To Juli Dixon, Thomasenia Adams, and Ed Nolan, your vision and guidance for this series of books have made a lifelong impact on me.

George Roy

With much love to my family, Robbie, Zachary, and Sarah, for your patience and support through this process. Your encouragement and love are beyond anything I could have asked for. Thank you to my parents, friends, and community for your endless support and encouragement in all things and my incredible colleagues, Juli, Ed, and George, for the determination and vision to see this book through.

Janet Andreasen

Solution Tree Press would like to thank the following reviewers:

Cynthia Burke, NBC

Mathematics Teacher

Sherrard Middle School

Wheeling, West Virginia

Melissa Carli

Elementary Mathematics Program Specialist

Lake County Schools

Howey-in-the-Hills, Florida

Mary Jones

Mathematics Support and Advanced Mathematics

Southeast Bulloch Middle School

Brooklet, Georgia

Steve Leinwand

Principal Research Analyst

American Institutes for Research

Past President, National Council of Supervisors of Mathematics

Washington, DC

Becky Link

Mathematics Teacher

Fort Recovery Middle School

Fort Recovery, Ohio

Visit go.solution-tree.com/mathematics to download the free reproducibles in this book.

Edward C. Nolan is preK12 director of mathematics for Montgomery County Public Schools in Maryland. He has nineteen years of classroom experience in both middle and high schools and was department chair for fifteen years, all in Montgomery County. An active member of the National Council of Teachers of Mathematics (NCTM), he is currently the president of the Maryland Council of Supervisors of Mathematics. Nolan is also a consultant for Solution Tree as one of the leaders of Dixon Nolan Adams Mathematics, providing support for teachers and administrators on the rigorous standards for mathematics.

Nolan has been published in the Banneker Banner, a publication of the Maryland Council of Teachers of Mathematics, and Mathematics Teaching in the Middle School, an NCTM publication, and he has conducted professional development at the state, regional, and national levels, including webinars for NCTM and TODOS: Mathematics for ALL. His research interests lie in helping students and teachers develop algebraic thinking and reasoning. In 2005, Nolan won the Presidential Award for Excellence in Mathematics and Science Teaching.

He is a graduate of the University of Maryland. He earned a masters degree in educational administration from Western Maryland College.

To learn more about Nolans work, follow @ed_nolan on Twitter.

Juli K. Dixon, PhD, is a professor of mathematics education at the University of Central Florida (UCF) in Orlando. She coordinates the award-winning Lockheed Martin/UCF Academy for Mathematics and Science for the K8 master of education program as well as the mathematics track of the doctoral program in education. Prior to joining the faculty at UCF, Dr. Dixon was a secondary mathematics educator at the University of Nevada, Las Vegas and a public school mathematics teacher in urban school settings at the elementary, middle, and secondary levels.

She is a prolific writer who has authored and coauthored books, textbooks, chapters, and articles. A sought-after speaker, Dr. Dixon has delivered keynotes and other presentations throughout the United States. She has served as chair of the National Council of Teachers of Mathematics Student Explorations in Mathematics Editorial Panel and as a board member for the Association of Mathematics Teacher Educators. At the state level, she has served on the board of directors for the Nevada Mathematics Council and is a past president of the Florida Association of Mathematics Teacher Educators.

Dr. Dixon received a bachelors degree in mathematics and education from State University of New York at Potsdam, a masters degree in mathematics education from Syracuse University, and a doctorate in curriculum and instruction with an emphasis in mathematics education from the University of Florida. Dr. Dixon is a leader in Dixon Nolan Adams Mathematics.

To learn more about her work supporting children with special needs, visit www.astrokeofluck.net and follow @thestrokeofluck on Twitter.