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GMU COMPLETE Center

GMU COMPLETE Center. Good Evening!. Here is your first MATH INVESTIGATIONIf everyone at your table shakes hands with each other, how many handshakes would you have? Show us how you would prove it to your friend.. GMU COMPLETE Center. An extension: Think Quick!. There are twenty-five people in a room, and each person shakes every other person's hand exactly one time. How many handshakes will be there?.

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GMU COMPLETE Center

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    1. GMU COMPLETE Center GMU COMPLETE � Enhancing Mathematical Aptitude for Advanced Learners through Algebraic Connections Dr. Padmanabhan (Padhu) Seshaiyer Mathematical Sciences College of Science George Mason University Dr. Jennifer Suh Mathematics Education College of Education and Human Development George Mason University Louis Archer Elementary March 15, 2011

    2. GMU COMPLETE Center

    3. GMU COMPLETE Center An extension: Think Quick! There are twenty-five people in a room, and each person shakes every other person�s hand exactly one time. How many handshakes will be there?

    4. GMU COMPLETE Center Undo the Handshakes now! At a birthday party, every child shakes hands with every other child. If 190 handshakes take place, how many people were at the party?

    5. GMU COMPLETE Center A Related Problem: Christmas Math! The popular Christmas carol starts innocuously enough. On day one, the character in the song gets a single present (a partridge in a pear tree). But on day two, the beneficiary receives a new present (a pair of turtle doves) plus another partridge in a pear tree. Day three brings a second helping of day two's gifts, plus more new items (three French hens). By the twelfth day, the narrator is an undeniable pack rat - and maybe in violation of local zoning - after receiving 12 drummers drumming, and new copies of all the previous day's gifts. By the twelfth verse of the song, there are a lot of gifts. How many gifts did the character receive on the 12th day?

    6. GMU COMPLETE Center Algebraic Habits of Mind Doing-Undoing Building Rules to Represent Functions Abstracting from Computation (Driscoll 1999)

    7. GMU COMPLETE Center The Five strands of Math Proficiency

    8. GMU COMPLETE Center Five Star Representations

    9. GMU COMPLETE Center Contact Padmanabhan Seshaiyer Email: pseshaiy@gmu.edu Jennifer Suh Email: jsuh4@gmu.edu

    10. GMU COMPLETE Center Online Resources Art of Problem Solving http://www.artofproblemsolving.com Mathcounts www.mathcounts.org Mathleague www.themathleague.com AMC8 http://amc.maa.org/e-exams/e4-amc08/amc8.shtml

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