Suggestions for Sentence starters for use by Inner Circle Participants 1

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1 Suggestions for Sentence starters for use by Inner Circle Participants 1 Agree/Disagree Has anyone else had a similar? Who has a different? Clarification I m not sure I understand? Tell me more about? Do you see gaps in my reasoning? Are you taking into account something different from what I have considered? Support Questions Can you give us an example of? Where in the text? What would be a good reason for? What is some evidence for? Cause and Effect Why do you think happened? How could have been prevented? Do you think would happen that way again? Why? What are some reasons why people? Compare/Contrast How are and alike? Different? What is similar to? Can you think of why feels different than? How does this text remind you of? Benefits/Burdens What are some of the reasons this wouldn t (would) be a good idea? Would anyone like to speak to the opposite side? Those are some reasons this would work; what reasons might it not work? Point of View/Perspective has expressed a different opinion. Are there others? Do you have a different interpretation of? Do you have different conclusions about? How did you arrive at that view? Counterexample Would that still happen if? What might have made a difference for? Different Situation Can you describe a situation that would? Suppose. Would that still be true? Why or why not? I agree with because, but I want to add another reason why I think is true. I disagree with because. I think what you are saying is. Is that correct? I understand your point, but I want to add/disagree/give another side. 1 These sentence starters, along with the evaluation sheets on the following page, are modified versions of templates for Socratic Seminar found at 7

2 Inner Circle Self-Evaluation Negative Behaviors Name Positive Behaviors 1. I came prepared for the seminar. 2. I was courteous to the other students. 3. I paused and thought before speaking. 4. I listened to others tell their opinions. 5. I kept an open mind for opinions different from my own. 6. I acted as a positive role model for other students. 7. I built on what was said just before I gave my opinion. 8. I used fixed examples from the text to support statements. 9. I felt comfortable speaking in the seminar. 10. I gave my opinions clearly. 11. I interrupted others. 12. I acted silly. 13. I did not look at the person who was speaking. 14. I talked off the topic. 15. I talked too much or not at all What is the best idea you heard in the seminar? Outer Circle Evaluation Sheet Name In the course of the seminar: What was the most interesting question? What was the most interesting idea to come from a participant? What was the best thing you observed? What was the most troubling thing you observed? What do you think should be done differently in the next seminar? Did the participants all participate equally? Rate the seminar on a scale of (Please use decimals or fractions!) The rubric below may be helpful: _~10 Excellent (Everyone participated, listened, had good ideas, did not interrupt.) _~7 Good (Generally, everyone participated but the seminar could have better ideas and behavior.) _~4 Fair (Side talk, interruptions, students distracted.) _~1 Poor (Lots of side talk, interruptions, and rude behavior.) 8

3 Math Literature Reading List to Explore 2 Abbot, E. (2007). Flatland: Echo Library. Adler, D. (1996). Fraction Fun. New York, NY: Holiday House. Anno, M. (1986). Socrates and the Three Little Pigs. New York, NY: Philomel Books. Anno, M. (1999). Anno's magic seeds: Putnam Juvenile. Anno, M., & Anno, M. (1999). Anno's mysterious multiplying jar: Penguin Putnam Books for Young Readers. Base, G. (2001). The Water Hole. New York, NY: Harry Abrams Books. Belinfanti, D. (2005). Counting on friends: Storytime Kids LLC. Birch, D. (1993). The King's Chessboard: Puffin. Birdwell, N. (1998). Clifford Counts 1, 2, 3. New York: Scholastic Inc. Burns, M. (1994). The Greedy Triangle. New York, NY: A Brainy Day Book. Burns, M. (2008). Spaghetti and Meatballs for All- A Mathematical Tale. New York, NY: Scholastic Press Inc. Burns, M., & Maccarone, G. (1998). Monster Money. New York: Scholastic, Inc. Butterfield, M. (1992). My First Calculator Book. Wilton, CT: Wishing Well Books. Carle, E. (1987). The very hungry caterpillar: Philomel Books. Carle, E. (2002). Rooster's off to see the world: Aladdin. Chavera, L. (2009). Lesson Plans for Using Literature in Middle and High School Mathematics. Retrieved September 30, 2009, from Cook, G. E. (2000). Two Little Eyes and Other Action Rhymes. Cambridge, MA: Candlewick Press. Demi. (1997). One grain of rice: A mathematical folktale: Scholastic Press. Dodds, D. A. (1994). The Shape of Things: Candlewick. Dubanevich, A. (1989). Pigs in hiding. New York, NY: Scholastic Inc. Dudeney, H. E. (1967). 536 puzzles and curious problems. New York, NY: Charles Scribner s Sons. Eames, C. (1982). Powers of ten. Enzensberger, H. M. (1997). The number devil. New York, NY: Henry Holt & Company. Enzensberger, H. M., Rotraut, S. B., & Heim, M. H. (2000). The number devil: A mathematical adventure: Holt Paperbacks. Epner, P. (2000). Herbert Hilligan's Prehistoric Adventure. Austin, TX: Eakin Press. Feynman, R. P. (1997). Surely You're Joking, Mr. Feynman! (Adventures of a Curious Character) W.W. Norton & Co. Friedman, A. (1994). The Kings Commissioners: Scholastic Press Inc. Friedman, A. & Howard, K. (1994). A Cloak for the Dreamer. New York, NY: Scholastic Inc. Froman, R. (1978). The greatest guessing game: a book about dividing Thomas Y. Crowell. Gamow, G. (1948). One Two Three... infinity. New York, NY: Viking Press. Gardner, M. (1986). Entertaining mathematical puzzles: Dover Publications. Gardner, M. (1988). Perplexing puzzles and tantalizing teasers: Dover Publications. Gardner, M. (1994). My best mathematical and logic puzzles: Dover Publications. Gardner, M., & Richards, D. (2005). The colossal book of short puzzles and problems: W. W. Norton. Garza, C. L. (1999). Making Magic Windows: Creating Cut-Paper Art With Carmen Lomas Garza: Children s Book Press. Geisert, A. (1996). Roman Numerals I to MM. New York, NY: Houghton Mifflin Co. Giganti, P. (1994). How Many Snails? New York, NY: William Morris & Company. Giganti, P. (1999). Each Orange Has Eight Slices. New York, NY: William, Morrow & Co. Gisler, D. (2002). Addition Annie: Children's Press. Glass, J., & Walz, R. (1998). The fly on the ceiling: A math myth. Toronto, ON: Random House of Canada Ltd. Grossman, V. (1991). Ten Little Rabbits: Chronicle Books. Gryski, C. (1995). Cat's cradle: A book of string games: Kids Can Press. Haddon, M. (2004). The Curious Incident of the Dog in the Night-Time Doubleday. Hamm, D. (1994). How many feet in the bed: Aladdin. 2 This collection comprises the combined suggestions of TODOS members who were asked on a listserv to suggest math books for a middle school math library. 9

4 Harshman, M. (1993). Only one: Dutton Juvenile. Haven, K. F. (1998). Marvels of math: Fascinating reads and awesome activities. Englewood, CO: Teacher Ideas Press. Helton, S. M., & Micklo, S. J. (2008). The Elementary Math Teacher's Book of Lists: With Ready-to-Use Patterns and Worksheets Jossey-Bass. Hirst, R., & Hirst, S. (1990). My Place in Space: Orchard Books. Hong, L. T. (1993). Two of Everything: A Chinese Folktale: Albert Whitman & Company. Hulme, J. (1996). Sea sums. New York, NY: Scholastic. Hulme, J. (1999). Sea squares: Hyperion Book CH. Hutchins, P. (1987). The doorbell rang. NewYork, NY: Scholastic, Inc. Irvine, J., & Hendry, L. (2008). How to make super-pop ups: Dover Publications. Isdell, W. (1993). A Gebra Named Al: A Novel: Free Spirit Publishing. Juster, N. (1961). The phantom tollbooth. Toronto, ON: Random House of Canada Limited. Kaopuiki, S. (1991). Bring Me What I Ask: A Hawaiian Story About Numbers: Hawaiian Island Concepts. Kasman, A. (2009). Mathematical Fiction. Retrieved September 30, 2009, from Kim, S. (1980). Inversions, A Catalog of Calligraphic Cartwheels: McGraw-Hill Inc. King, C. (1990). Seven Wonders of the Ancient World: Chronicle Books. Knowlton, J. (1993). Books and Libraries. New York, NY: Harper / Trophy, division of Harper Collins Publishers. Krahn, F., & de la Luz Krahn, M. (1970). The Life of Numbers. New York: Simon & Schuster. Kroll, V. L. (2005). Equal Shmequal (Math Adventures) Lasky, K. (1994). The librarian who measured the earth. Toronto, ON: Little, Brown and Company. Leedy, L. (1997). Mission Addition. New York, NY: Holiday House. Linehan, A., & Franco, B. (1996). Growing Creatures. San Diego: Teaching Resource Center Publication. Losi, C. A. (1997). The 512 Ants on Sullivan Street. New York, NY: Scholastic Press Inc. Mathews, L. (1990). Bunches and bunches of bunnies. New York, NY: Scholastic Inc. Mathews, L. (1995). Gator Pie: Sundance Publications. McGowan, D., & Schrooten, M. (1997). Math Play. Charlotte, VT: Williamson Publishing. McGrath, B. B. (1998). More M&M's Math. New York, NY: Scholastic. McKellar, D. (2008). Kiss My Math: Showing Pre-Algebra Who's Boss Hudson Street Press. McKellar, D. (2008). Math doesn't suck: How to survive middle school math without losing your mind or breaking a nail: Plume. McKibbon, W., & Cameron, S. (1996). The Token Gift. Toronto, ON: Annick Press. McMillian, B. (1996). Jelly beans for sale. New York, NY: Scholastic Inc. Miranda, A. (2002). Monster Math: Voyager Books. Moore, I. (1993). Six dinner Sid: Aladdin. Morgan, F. (2000). The math chat book: The Mathematical Association of America. Morgenstern, S. (1980). Metric Puzzles, Tricks & Games. New York, NY: Sterling Publishing Co., Inc. Murphy, S. J. (1997a). Divide and Ride. New York, NY: Harper/Trophy. Murphy, S. J. (1997b). Elevator magic. New York, NY: Harper Collins. Murphy, S. J. (1997c). A Fair Bear Share. New York, NY: Harper/Trophy. Murphy, S. J. (1999). Too Many Kangaroo Things to Do: Steck-Vaughn. Murphy, S. J. (2000). Monster Musical Chairs. New York, NY: Harper Collins. Neuschwander, C. (1998). Amanda Bean's Amazing Dream. New York, HY: Scholastic Press Inc. A Brainy Day Book. Neuschwander, C., & Geehan, W. (1999a). Sir cumference and the dragon of pi: A math adventure: Charlesbridge Publishing. Neuschwander, C., & Geehan, W. (1999b). Sir cumference and the first round table: A math adventure: Neuschwander, C., & Geehan, W. (2001). Sir cumference and the great knight of angleland: A math adventure: Neuschwander, C., & Geehan, W. (2003). Sir cumference and the sword in the cone: A math adventure: Neuschwander, C., & Geehan, W. (2006). Sir cumference and the isle of immeter (Math adventure): Charlesbridge Publishing. 10

5 Onyefulu, I. (1999). Emeka's Gift. New York: Puffin Books. Pallotta, J. (2001). Twizzlers percentage book. New York, NY: Scholastic Inc. Pallotta, J. (2002). The Hersheys's Milk Chocolate Weights and Measures Book. New York, NY: Scholastic Inc. Pamaska, A. (1983). What's Wrong With This Picture? A Coloring Book. New York, NY: Dover Publications, Inc. Pappas, T. (1994). Fractals, googols and other mathematical tales. San Carlos, CA: Wide World Publishing/Tetra. Pappas, T. (1994). Further Adventures of Penrose the Mathematical Cat: Wide World Publishing, Tetra Pappas, T. (1997). The adventures of Penrose the mathematical cat: Wide World Publishing, Tetra. Peterson, I. (1998). The mathematical tourist: New and Updated snapshots of modern mathematics: Owl Books. Pinczes, E. J. (1999). One hundred hungry ants: Sandpiper. Pinczes, E. M. B. (1995). A Remainder of One. Boston, MA: Houghton Mifflin Company. Pittman, H. (1995). A Grain of Rice: Yearling. Reimer, L., & Reimer, W. (1990). Mathematicians Are People, Too: Stories from the Lives of Great Mathematicians Dale Seymour Publications. Rocklin, J. (1995). How much is that guinea pig in the window. New York, NY: Scholastic Inc. Root, P. (1998). One Duck Stuck. Cambridge, Massachusetts: Candlewick Press. Ross, C. S. (1992). Fun Ideas For Getting A-Round In Math. Reading, MA: Addison-Wesley Publishing Company. Salvadori, M. (2000). The art of construction: Projects and principles for beginning engineers and architects: Chicago Review Press. Schwartz, D. (1998). G is for googol: A math alphabet book. Berkley, CA: Tricycle Press. Scieszka, J., & Smith, L. (1995). The math curse: Viking Juvenile. Scieszka, J., & Smith, L. (2007). Science verse: Viking Juvenile. Shasha, D. (2002). Dr. Ecco s cyberpuzzles: 36 puzzles for hackers and other mathematical detectives. New York, NY: W. W. Norton & Company. Slater, T. (1996). Stay in line: Cartwheel Books. Smith, D. E. (2001). Number Stories of Long Ago. Reston, VA: National Council of Teachers of Mathematics. Tahan, M. (1993). The man who counted: A collection of mathematical adventures. New York, NY: W. W. Norton & Company. Tang, G., & Briggs, H. (2004). Grapes of math: Scholastic Paperbacks. Thaler, M. (1994). Seven Little Hippos. New York, NY: Simon & Schuster Children s Publishing Division. Time Life Books. (1993). Play Ball: Sports Math Time Life Medical. vos Savant, M. (1993). The World's Most Famous Math Problem: The Proof of Fermat's Last Theorem and Other Mathematical Mysteries: St. Martins Press. Wakefield, A. (1996). Those Calculating Crows. New York, NY: Simon and Schuster Children s Publishing Division. Wells, R. (2001 ). Get Set For Kindergarten: How Many? How Much? New York, NY: Penguin Putnam. Williams, J. (1992). Playtime New York, NY: Dial Books for Young Readers, a division of Penguin Books. Williams, R. L. (2001). The Coin Counting Book. Watertown, MA: 11

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