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JACKIE VOGEL VOGELJ@APSU.EDU AUSTIN PEAY STATE UNIVERSITY CLARKSVILLE, TENNESSEE AMLE 2014 NASHVILLE, TN Exploring Proportional Reasoning Through Literature Slide 2 Warm Up Books Slide 3 Alice in Wonderland Slide 4 Gullivers Travels Slide 5 MathScape Course 1 (Sixth Grade) Slide 6 MathScape provides a pedagogical model for providing challenging mathematical content while integrating research-based strategies based on the NCTM process standards. Problem Solving Reasoning and Proof Communication Connections Representation Slide 7 Slide 8 Giant Pencil The pencil is 87 inches long and 3 inches wide. Is the giants pencil proportional to our pencil? How tall is the giant? Slide 9 Slide 10 Slide 11 Slide 12 Slide 13 WOULD AN 8 INCH BY 9 INCH RECTANGLE BE AN EXACT ENLARGEMENT OF A 2 INCH BY 3 INCH RECTANGLE? WHY OR WHY NOT? Rescaling Area and Volume Warm Up Slide 14 Select Readings Slide 15 Slide 16 Slide 17 Slide 18 Slide 19 Postage Stamp Activity Slide 20 Slide 21 Slide 22 Slide 23 Slide 24 Mr. Tall and Mr. Short Slide 25 Slide 26 Other Topics: Chasing Vermeer Slide 27 Other Topics: Middle School Girls Slide 28 Other Topics: Books of Books Slide 29 Resources Making Sense of Fractions, Ratio, and Proportion: NCTM 2002 Yearbook ISBN 978-0-87353-519-9 MathScape: Seeing and Thinking Mathematically, Course 1 ISBN 0-07-860466-4 Quick Review Math Handbook: Hot Words, Hot Topics, Book 1, Student Edition ISBN 0078600839 Gullivers Worlds ISBN 0-7622-0213-0 Actual Size ISBN 978-0-547-25554-5 Biggest, Strongest, Fastest ISBN 978-0-547-25557-6 Alice in Wonderland Slide 30 References Lamon, S. J. (2005). Teaching fractions and ratios for understanding: Essential content knowledge and instructional strategies for teachers (2 nd Ed.) Mahwah, NJ: Lawrence Erlbaum Associates. Lesh, Post, T. R., & Behr, M. (1988). Proportional reasoning. In J. Hiebert & M. Behr (Eds.), Number concepts and operations in the middle grades (pp. 93- 118). Reston, VA: National Council of Teachers of Mathematics. Litwiller, B. (Ed.). (2002). Making sense of fractions, ratio, and proportions, 64 th yearbook. Reston, VA: National Council of Teachers of Mathematics. National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: Author.