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October 2007, Volume 101, Issue 3

 FEATURES Ecosystem Simulations and Chaos on the Graphing CalculatorRobb SinnAn eighth grade algebra class used graphing calculators to simulate ecosystems. One simulation introduced mathematical chaos.The students were able to explore the iteration theory using a graphing calculator. Three classroom-ready worksheets are included. Science connections include equilibrium, and carrying capacity of ecosystem. Who Will Win? Predicting the Presidential Election Using Linear RegressionJohn LambArticle outlines a linear regression activity that engages learners, uses technology, and fosters cooperation. Students generated least-squares linear regression equations using TI-83 Plus™ graphing calculators, Microsoft© Excel, and paper-and-pencil calculations using derived normal equations to predict the 2004 presidential election. This data-analysis activity supports students by engaging them through meaningful, relevant mathematical experiences. Creating and Exploring Simple ModelsMiles HubbardStudents manipulate data algebraically and statistically to create models applied to a falling ball. They also borrow tools from arithmetic progressions to examine the relationship between the velocity and the distance the ball falls. A supplemental option is to use a Computer Based Laboratory (CBL) for this activity. Students use graphing calculators to manipulate the sequences (in the statistics editor). Students can plot their data and superimpose their model on the calculator. Redefining a ModelThomas HodgesThis article describes an alternate way to utilize a circular model to represent thirds by incorporating areas of circular segments, trigonometric functions, and geometric transformations. Students start activity with pencil and paper, but eventually verify solutions using technology. This task provides opportunities for higher levels of thinking. Using a Before-During-After (BDA) Model to Plan Effective Secondary Mathematics LessonsJane Wilburne, Winnie PetersonArticle describes what a before-during-after (BDA) format is and provides two examples of how it is implemented in high school mathematics classes. Each component of the lesson plans is detailed and explained in order to maximize the students' engagement. Includes a teacher outline for constructing your own BDA lessons.Read how you can use this article as part of a Professional Development Experience.

 Departments Reader ReflectionsReader Reflections - October 2007 Media ClipsMedia Clips - October 2007 Mathematical LensMathematical Lens: Arches at King Fahd University, Saudi Arabia Calendar ProblemsCalendar - October 2004 and Solutions Activities (for students)Activities for Students: Exploring the United Nations' Human Development Index Technology/Technology TipsTechnology Tips: Orstat–2000: Educational Software for Probability and Optimization Delving DeeperDelving Deeper: The Jug Problem Reloaded Connecting Research to TeachingConnecting Research to Teaching: Quadratic Functons: Students Graphic and Analytic Representations For Your Information/Products/PublicationsFor Your Information: October 2007