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October 2005, Volume 99, Issue 3

 FEATURES Conic Sections: Draw It, Write It, Do ItBarbara Leapard, Joanne CanigliaA challenging activity for integrating mathematics and art using conic sections. Students create a drawing that is formed by the graphs of linear equations and conic sections and record the equations with domain and range for each. The art work incorporates graphing calculators and pencil and pencil and paper graphs. Helping Students Connect Functions and Their RepresentationsDeborah Moore-Russo, John GolzyA teaching method to help promote deeper understanding of both the graphical and algebraic representations of linear and quadratic functions. The authors ask students to find the graphical representation of the sum and product of given functions Various representations lead to a deeper understanding of the connections between the equation and its graph. Graphing calculators are utilized to enhance student understanding. Interactive Geometry Software in the B.C. (Before Computers) EraHeather Whittaker, Iris JohnsonThe use of 3x5 cards to explore geometric relationships through the first three van Hiele levels of geometric reasoning. Students engage in reasoning and proof as they explore concepts related to parallel lines and quadrilaterals. Sharing Teaching Ideas: Say What You Mean and Mean What You SayJulianna Csongor, Carolyn CraigA fun, proven classroom activity, designed to improve students' communication skills. Students  write descriptions of geometric sketches and classmates use these directions to create the given image. Writing and listening skills are enhanced. Tapping into TrapezoidsJeffrey WankoThe use of trapezoids to explore a number of mathematical concepts, including similarity, representation, and the Pythagorean theorem. Preservice teachers develop hypotheses about isosceles trapezoids which are investigated. Tiling with pattern blocks and the development of the formula for area are also examined. Good Will Hunting Meets Graphing Calculators and CASWilliam O'Donnell, Richard GibbsA solution, using CAS, to a graph theory problem that was presented in the movie Good Will Hunting. The author employs matrices, matrix multiplication and basic graph theory to solve the four part problem.

 Departments Reader ReflectionsReader Reflections: October 2005 Connecting Research to TeachingConnecting Research to Teaching: Enhancing Meaning in Mathematics: Drawing on What Students Know about the Physical World Media ClipsMedia Clips: October 2005 Media ClipsMedia Clips: Solutions - The Money Drain Calendar ProblemsCalendar Problems: October 2005 Delving DeeperDelving Deeper: The Name Game: Exploring Random Permutations Mathematical LensMathematical Lens: Iron Gate, Metulla, Israel Activities (for students)Activities for Students: Transformations on Data Sets and Their Effects on Descriptive Statistics For your Information/Products/PublicationsFor Your Information: October 2005