From respected voices in STEM education comes an innovative lesson planning approach to help turn students into problem solvers: lesson imaging. In this approach, teachers anticipate how chosen activities will unfold in real time—what solutions, questions, and misconceptions students might have and how teachers can promote deeper reasoning. When lesson imaging occurs before instruction, students achieve lesson objectives more naturally and powerfully. A successful STEM unit attends to activities, questions, technology, and passions. It also entails a careful detailed image of how each activity will play out in the classroom. Lesson Imaging in Math and Science presents teachers with • A process of thinking through the structure and imple- mentation of a lesson • A pathway to discovering ways to elicit student thinking and foster collaboration • An opportunity to become adept at techniques to avoid shutting down the discussion—either by prematurely giving or acknowledging the “right” answer or by casting aside a “wrong” answer Packed with classroom examples, lesson imaging tem- plates, and tips on how to start the process, this book is sure to help teachers anticipate students’ ideas and questions and stimulate deeper learning in science, math, engineering, and $29.95 U.S. technology. LessonImaginginMathScience_Stephan_1016_cover.indd 1 9/22/16 8:21 AM This page intentionally left blank 1703 N. Beauregard St. • Alexandria, VA 22311-1714 USA Phone: 800-933-2723 or 703-578-9600 • Fax: 703-575-5400 Website: www.ascd.org • E-mail: [email protected] Author guidelines: www.ascd.org/write Deborah S. 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LCCN: 2016029749 23 22 21 20 19 18 17 16 15 14 1 2 3 4 5 6 7 8 9 10 11 12 Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Chapter 1: STEM Literacy: Th e Nature of STEM Teaching and Learning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 Chapter 2: Beginning the Imaging Process: Unpacking the Goals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 Chapter 3: Imaging the Launch . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 Chapter 4: Imaging Student Reasoning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 Chapter 5: Imaging Mathematically Powerful Whole-Class Discussions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 Chapter 6: Putting It All Together . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 111 Chapter 7: Getting Started . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 Frequently Asked Questions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 175 About the Authors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 180 This page intentionally left blank Acknowledgments Th e authors would like to thank all of the teachers and administrators we have worked with over the last two decades. Without the collaboration of George McManus, Ashley Dickey, Jennifer Smith, Robin Dehlinger, Kristy Bullock, Ericka Allred, and countless other teachers, we could not have writ- ten this book. We also owe a debt of gratitude to Carol Collins. If she had not wandered into our lesson imaging presentation in Houston, there would be no book. Michelle Stephan would like to thank her parents, Don and Nancy Stephan, for providing the type of childhood that encouraged her to dream big. She would also like to thank her family, Chris Robinson and Tai Stephan, for their understanding, patience, and humor throughout the writing of this book. Chris and Julie Cline would like to thank Michelle Stephan for introduc- ing them to lesson imaging and for the support she has provided the past three years. Th ey would also like to thank Kristy Bullock for supporting their work with Dr. Stephan and for trusting them to be leaders in their school. vii Introduction To me, lesson imaging is a visualization process. You often hear about athletes visualizing their game. Imaging is a process in which teachers visualize what will take place in their classroom when they present a task. —George McManus, middle school mathematics teacher, Florida Imagine that your parents or grandparents are celebrating their 50th wed- ding anniversary this year. You and your siblings want to plan a special event with lots of family and friends, so you decide to throw a party for them three months from now. With the date decided, you need to think through numerous details carefully. W here will the event take place: the city where they currently live? Th e city in which most of your family lives? Somewhere central to all? Also, what kind of venue will be needed—a formal setting or more of a “party” atmosphere? Whom will you invite? When do invitations need to be sent? Will it be a surprise? And so on. As the day gets closer, you excitedly begin to imagine the event in your mind, playing it out activity by activity. You imagine where you will seat certain relatives; you know, for example, that Uncle Lee does not get along well with cousin Meagan, so you should place them far away from each other. As you let the image unfold, you realize that there aren’t enough non- alcoholic beverages at the party for those who do not drink, such as cousin Christine. Th en you remember that even though your parents love pastries, Auntie Donna is on a diet, so you must make sure there are healthy snacks, 1 2 Lesson Imaging in Math + Science too. Aunt Connie is allergic to fi sh, so you must provide an alternative to the salmon you’d planned to serve. And of course Aunt Melanie’s family will be late, so folks should probably have about 30 minutes to mingle until the major festivities begin. You schedule the speakers, plan the approximate time frame, gather photos to display in the room, and make the fi nal decisions on the food and drinks the caterers will serve. You have a clear vision of what the program will look like. You can see your parents’ best friend, Julie, speaking, and you imagine the joke you will tell as a nice way to get her off the microphone (she is a bit long-winded). You visualize Uncle Mike taking the microphone and telling that “fi sh story” again—but he often uses colorful language, so how will you manage what he says? And you can’t forget the traditional toast that Todd always makes at family occasions! You visualize all the grandchildren and great-grandchildren running around and dancing to the music. If only the celebration would unfold as your mind imagines it! We have all had similar experiences when we plan a party, a bat mitz- vah, a wedding, and so on. We plan meticulously for every situation that might occur, given the diversity of people attending the event and interacting with one another in both predictable and unpredictable ways. You know your family traditions, relationships, desires, and motivations, and you can more or less envision how the night will play out. Of course, the event never happens the way we imagine it will. Sometimes it goes much better than we thought, and sometimes we wish we had never decided to do it in the fi rst place. Nevertheless, you had an image of how people might act, com- municate, and relate to one another. You anticipated a potential time line for events to occur and even imagined a bit of a contingency plan in case it didn’t go exactly as you expected. A very similar thought process goes on in what we call lesson imaging. When planning for the next day’s class, a teacher might imagine what is going to happen when the bell rings to welcome students into fi rst period science. She will have a warm-up activity on the board, and she imagines students taking the fi rst two minutes to get settled and then getting on with the routine they established during the fi rst two weeks of class. Around fi ve
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