Well played : building mathematical thinking through number games and puzzles, grades K-2 PDF
Preview Well played : building mathematical thinking through number games and puzzles, grades K-2
WELL PL AYED Building Mathematical Thinking Through Number Games and Puzzles GRADES K–2 Linda Dacey, Karen Gartland, and Jayne Bamford Lynch Foreword by Kassia Omohundro Wedekind Portland, Maine Well Played: Building Mathematical Thinking Through Number Games and Puzzles, Grades K-2 by Linda Dacey, Karen Gartland, and Jayne Bamford Lynch. (c) 2015 Stenhouse Publishers. No reproduction without written permission from the publisher. Stenhouse Publishers www.stenhouse.com Copyright © 2016 by Linda Dacey, Karen Includes bibliographical references. Gartland, and Jayne Bamford Lynch ISBN 978-1-62531-034-7 (pbk. : alk. paper) — ISBN All rights reserved. This e-book is intended for 978-1-62531-077-4 (ebook) 1. Arithmetic—Study individual use only. You can print a copy for your and teaching (Primary) 2. Counting. 3. own personal use and you can access this e-book Mathematics—Study and teaching (Primary) I. on multiple personal devices (i.e. computer, Gartland, Karen. II. Lynch, Jayne Bamford. III. Title. e-reader, smartphone). You may not reproduce digital copies to share with others, post a digital QA135.6.D3325 2016 copy on a server or a website, make photocopies 372.7’044—dc23 for others, or transmit in any form by any other means, electronic or mechanical, without 2015022556 permission from the publisher. Cover design by Alessandra S. Turati Every effort has been made to contact copyright holders and students for permission to reproduce Interior design and typesetting by Victory borrowed material. We regret any oversights that Productions, Inc. may have occurred and will be pleased to rectify them in subsequent reprints of the work. Manufactured in the United States of America Library of Congress Cataloging-in- Publication Data Dacey, Linda Schulman, 1949– Well played: building mathematical thinking through number games and puzzles, grades K–2 / Linda Dacey, Karen Gartland, and Jayne Bamford Lynch ; foreword by Kassia Omohundro Wedekind. pages cm Well Played: Building Mathematical Thinking Through Number Games and Puzzles, Grades K-2 by Linda Dacey, Karen Gartland, and Jayne Bamford Lynch. (c) 2015 Stenhouse Publishers. No reproduction without written permission from the publisher. Thank you for purchasing this Stenhouse e-book; we appreciate the opportunity to help you become an even more effective teacher. This e-book is for your own individual use: you may print one copy for your own personal use and you can access your e-book on multiple person- al devices, including computers, e-readers, and smartphones. However, you cannot make print or digital copies to share with others, nor may you post this e-book on any server, website, or other digital or online system. If you would like permission to distribute or post sections of this e-book, please contact Stenhouse at [email protected]. If you would like to see a full list of the e-books Stenhouse offers, please visit us at www.stenhouse/allebooks Well Played: Building Mathematical Thinking Through Number Games and Puzzles, Grades K-2 by Linda Dacey, Karen Gartland, and Jayne Bamford Lynch. (c) 2015 Stenhouse Publishers. No reproduction without written permission from the publisher. Foreword by Kassia Omohundro Wedekind vi Acknowledgments viii ONTENTS Chapter 1: Introduction 1 Why This Book? 2 Is It a Game or a Puzzle or an Activity? 3 How Is This Book Organized? 3 Chapter 2: S upporting Learning Through Games and Puzzles 5 Using Games and Puzzles in the Classroom 6 Setting Expectations and Sharing Responsibilities with Students 7 Assessing Learning and Setting Goals 13 Fostering Productive Discussions 18 Meeting Individual Differences 19 Organizing Students for Success 19 Organizing Materials for Success 22 Working with Families 23 Conclusion 25 Chapter 3: Counting and Ordering 27 What’s the Math? 27 Count 20 28 Number Jigsaw 32 Nim 35 Mystery Number 37 Order Up 41 Online Games and Apps 44 Chapter 4: Base Ten Numeration 47 What’s the Math? 47 Win 1,000 48 Number Sort 52 Go Number Fish 57 The Number Is/What Number Is? 60 Number Touch 64 Online Games and Apps 67 Well Played: Building Mathematical Thinking Through Number Games and Puzzles, Grades K-2 by Linda Dacey, Karen Gartland, and Jayne Bamford Lynch. (c) 2015 Stenhouse Publishers. No reproduction without written permission from the publisher. iv WELL PLAYED Building Mathematical Thinking Through Number Games and Puzzles Grades K–2 Chapter 5: Addition 69 What’s the Math? 69 Make a Pair 70 Equal Values 73 Triangle Totals 77 Yahoo! 100 81 On Target 84 Online Games and Apps 88 Chapter 6: Subtraction 91 What’s the Math? 91 How Many Are in the Cup? 92 Move Along 95 Take the Numbers 98 Name That Number 102 Subtraction Tic-Tac-Toe 105 Online Games and Apps 108 Chapter 7: Addition and Subtraction 111 What’s the Math? 111 Word Problem Bingo 112 Four of a Kind 116 It’s Greater 119 Meet the Rules 122 Make Sense 125 Online Games and Apps 128 Appendix A-1 Puzzle Answer Key A-79 References A-81 Well Played: Building Mathematical Thinking Through Number Games and Puzzles, Grades K-2 by Linda Dacey, Karen Gartland, and Jayne Bamford Lynch. (c) 2015 Stenhouse Publishers. No reproduction without written permission from the publisher. Games and Puzzles Listed in Alphabetical Order Description Appendix Count 20 28 A-4 Equal Values 73 A-35 Four of a Kind 116 A-68 Go Number Fish 57 A-21 How Many Are in the Cup? 92 A-48 It’s Greater 119 A-71 Make a Pair 70 A-32 Make Sense 125 A-76 Meet the Rules 122 A-74 Move Along 95 A-50 Mystery Number 37 A-11 Name That Number 102 A-56 Nim 35 A-9 The Number Is/What Number Is? 60 A-25 Number Jigsaw 32 A-6 Number Sort 52 A-19 Number Touch 64 A-28 On Target 84 A-46 Order Up 41 A-13 Subtraction Tic-Tac-Toe 105 A-60 Take the Numbers 98 A-53 Triangle Totals 77 A-40 Win 1,000 48 A-17 Word Problem Bingo 112 A-64 Yahoo! 100 81 A-43 Well Played: Building Mathematical Thinking Through Number Games and Puzzles, Grades K-2 by Linda Dacey, Karen Gartland, and Jayne Bamford Lynch. (c) 2015 Stenhouse Publishers. No reproduction without written permission from the publisher. When I first opened this book, I remember thinking, “How will this book about math games and puzzles be different from the countless other resources on the topic?” Only a few pages in, I re- alized that Well Played is very different. This is a book about math games and puzzles, but it is also a book about building communi- ties of mathematicians who work together to problem solve, talk about math, and figure things out. This is a book full of thought- OREWORD ful and well-chosen games and puzzles, but it is also a book that offers a lens into how we might include this kind of play in our own classrooms in ways that are deeply meaningful and engaging for our students. It is a book truly rooted in the realities and pos- sibilities of the classroom, which is what makes it such a valuable resource for teachers. Well Played includes games and puzzles that check all the boxes for inclusion in the classroom: simple to learn but mathematically meaningful, with variations that allow for differentiation within the classroom, and nuanced enough to allow students to expand upon and deepen thinking through multiple experiences with the game over time. There are several parts of each game or puzzle’s description to which readers will want to pay special attention. Each game or puzzle’s “How It Looks in the Classroom” section offers a glimpse into a classroom in which the game or puzzle is being in- troduced or played. Going beyond “how to play the game,” these sections offer teachers ideas for launching the game or puzzle in ways that encourage curiosity, collaboration, math talk, and productive struggle. Each “What to Look For” section offers several questions for teachers to consider as they work with students. I can imagine keeping these questions on my clipboard as I observe and con- fer with students as a way of guiding my instructional moves and helping me take useful anecdotal notes on students’ strategies and understandings. Each game or puzzle includes several exit question choices to use for student reflection. These questions offer an opportuni- ty for students to synthesize and solidify understandings, either in the form of productive group discussion or individual jour- naling. The exit questions also offer teachers the opportunity to Well Played: Building Mathematical Thinking Through Number Games and Puzzles, Grades K-2 by Linda Dacey, Karen Gartland, and Jayne Bamford Lynch. (c) 2015 Stenhouse Publishers. No reproduction without written permission from the publisher. FOREWORD vii assess students’ understanding and use this knowledge to plan next steps for instruction. Carefully chosen student work examples provide a reference point for teachers as they analyze and respond to student thinking. One of my favorite games in this book is “Yahoo! 100,” from Chapter 5: Addi- tion. Too often math games focused on computation emphasize rote procedural practice over sense-making and thoughtful use of strategies. This game is dif- ferent. In “Yahoo! 100,” students turn over cards, adding multiples of ten and single-digit numbers. The goal is to get the greatest number of cards with a sum less than or equal to 100. This game supports students’ development of efficient mental math strategies for addition, but it also focuses on building number sense as students consider their sum’s distance from 100 and whether it makes sense to flip another card. Additionally, the authors’ purposeful decision to include only cards that are multiples of ten or single-digit numbers allows students to devel- op addition strategies based on an understanding of decomposing numbers by place value. Well Played also acknowledges the powerful potential of online math play, offering suggestions for games, puzzles, and apps at the end of each chapter. Though many online games focus on skill-and-drill and fluency practice, the au- thors have chosen games and puzzles that emphasize problem solving and offer students opportunities to model with mathematics. While this book will be a prized resource of classroom teachers, as a blend of professional development and practical resources, this book will also be valued by coaches as they work with teachers to deepen content understanding and guide instructional practices. As I read this book I kept thinking, “I can’t wait to see what students will do with this game!” and “I know a teacher who will love using this puzzle with her class!” My copy of this book will soon be full of sticky notes and dog-eared pages, and a list of people with whom I want to share it. I know teachers will love this book as much as I do—thank you Linda, Karen, and Jayne for writing it! Kassia Omohundro Wedekind, author of Math Exchanges: Guiding Young Mathematicians in Small-Group Meetings Well Played: Building Mathematical Thinking Through Number Games and Puzzles, Grades K-2 by Linda Dacey, Karen Gartland, and Jayne Bamford Lynch. (c) 2015 Stenhouse Publishers. No reproduction without written permission from the publisher. A CKNOWLEDGMENTS We are deeply indebted to the teachers and students who col- laborated with us during the development of this project. We explored each game and puzzle within a classroom, and teach- er and student insights permeate this book. We are particularly grateful to students for serving as our consumer experts. Their feedback helped us fine-tune our thinking and play more with ways to embed key mathematical ideas into our discussions of the games and puzzles. We are grateful to everyone at Stenhouse, but most particu- larly Toby Gordon, who showed such early faith in us. Her words “Write about what matters most to you” gave us the freedom to explore, reflect, play, and puzzle. And then, of course, she gave us such valuable and timely feedback all along the way. We are also grateful to our outstanding outside reviewer, who probed our thinking with important insights and intriguing questions. Thank you also to Chris Downey, Elizabeth Tripp, and Jay Kilburn for their care and expertise. All of you added greatly to the quality of our work. Well Played: Building Mathematical Thinking Through Number Games and Puzzles, Grades K-2 by Linda Dacey, Karen Gartland, and Jayne Bamford Lynch. (c) 2015 Stenhouse Publishers. No reproduction without written permission from the publisher.
The list of books you might like
