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Listed in alphabetical order by presenter name.Attanucci, Frank J. A note on the proportional partitioning of line segments, triangles and tetrahedra[View Presentation]In the first part of this paper I solve the following problem: Where can one place a point G inside or on a triangle so that line segments from G to each of the vertices divide the triangle into three sub triangles whose areas A1, A2 and A3, respectively, satisfy the proportion: A1:A2:A3 = w1:w2:w3, where the wi's are non-negative constants with positive sum? I then state and prove an analogous result for tetrahedra. I finish with a theorem concerning the centroid of n! points. Along the way, everything is made more intriguing by allowing the wi's to be parameterized functions. Beaudrie, Brian Improving the mathematical readiness of middle-achieving, college-bound students[View Presentation]Based on more than six years of research, this presentation will discuss a practical two-tiered strategy designed to help college-bound students be better prepared for credit-bearing college mathematics courses before beginning their post-secondary education. Dudley, Anne & Watkins, Laura Active mathThe presenters will share a variety of activities to engage students in active math. These activities will require students to get up and move to help them retain the math. The presenters will share activities from many levels of mathematics and invite attendees to share their favorite activities as well. Dumitrascu, Gabriela Generalization in mathematics from elementary school to collegeThe program will be divided into two parts. First, I will use a power point presentation format to describe a way to define the practice of generalization in mathematics. The presentation will include a theoretical definition and examples from textbooks how this definition may be used to organize mathematics instruction from elementary school level to high school and college levels. In the second part of the program, the participants will discuss how the practice of generalization is reflected in the Common Core State Standards for Mathematics. Hughes-Hallett, Deborah & Lozano, Guadalupe Mathematics and sustainabilityThe emphasis in the Common Core Curriculum Standards on mathematical structure and modeling, and the worldwide concern with sustainability, can be combined into engaging materials for use in pre-calculus and calculus, as well as in quantitative reasoning and college algebra. Knapp, Jessica Teaching foundations: new courses to prepare future teachersA statewide Project NEXT grant has developed a set of course materials to improve the mathematical content knowledge for pre-service elementary school teachers in Arizona. We will discuss the rubric of higher order thinking developed by the Teaching Foundations faculty to serve as a guide in the course preparation as well as present some of the courses and course materials. We will explain the courses which have been developed and discuss some of the early results from the piloters. We will also give examples of the course materials being used and compare them to recommendations made by other mathematics education research projects. Kozak, Kathryn AMATYC proctored testing position statementThis session will be an open forum to collect input on the draft of the AMATYC Position Statement on proctored testing. Mayo, Tim Lucky Larry and lines of verseA sampling of "Lucky Larry" problems will be worked out live, with humorous anecdotes and poetry lines used by the instructor in his classes. The pedagogical merits of these problems will be discussed. Attendees will have the opportunity to present "Lucky Larry" problems they have encountered. McCallum, William The Illustrative Mathematics ProjectThe Illustrative Mathematics Project is building a community of mathematicians, educators, and teachers dedicated to designing high quality tasks to illustrate the Common Core State Standards in Mathematics. The core of the project is an interactive website where tasks are submitted, reviewed, edited and published by the community. Mendel, Marilou WeBWorK demonstration[View Presentation]This session will provide attendees with an overview of WeBWorK, an open-source online homework system. WeBWorK is hosted by the MAA and is accompanied by a National Problem Library that consists of more than 20,000 homework problems. Students are provided with individualized problems, immediate feedback on the correctness of their responses, and an opportunity to make repeated attempts to obtain the correct answers. Instructors are provided with automatic grading of assignments and detailed statistical information about the performance of the students. We will examine the student and instructor interfaces, explore the National Problem Library, and discuss how to obtain WeBWorK. Schettler, Jordan & Charles Collingwood Occupy Calculus! The math behind the 99%[View Presentation]We will explore Lorenz curves for income and explain how tools from integral and differential calculus can be used to analyze trends in the unequal distribution of wealth. We will discuss a powerful student project which helps build analytical skills and social consciousness. Welch, Eric Unlocking the secrets of counting problemsParticipants will solve problems suitable for 4th through 8th grade students that clarify the overarching concepts and elicit the habits of mind used to solve systematic listing and counting problems. The concepts range from the addition principle of counting to the meaning behind the formulas for permutations and combinations. Bring your willingness to change hats, approaching problems like a middle grades student while thinking about instructional moves like a middle school teacher. |