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March 2006, Volume 99, Issue 7

 FEATURES Approximating Pi with the Golden RatioStacy L. Linn, David K. NealThis article employs the Archimedean method of estimating the value of pi within an inscribed pentagon. We show how to write these approximations in terms of the golden ration. The article includes excercises and solutions for better understanding. Proofs That Students Can DoRobert O. StantonThis article discusses deductive reasoning and proof being an essential part of mathematics. In this article it discusses and discribes a  powerful technique that can be used by students to do proofs.. All examples come from areas of high school mathematics outside geometry and proofs are listed for students to do. Trigonometry Saves Engineer's TimeSean D. RuleThis article outlines an engineering problem requiring the use of a specialized trigonometric formula, and offers an answer to that age-old classroom question, "When are we gonna have to use this?"  The article also includes screenshots from the Geometer's Sketchpad. Non-Geometry Mathematics and The Geometer's SketchpadTodd O. Moyerxplorations using The Geometer's Sketchpad for algebra and calculus content. Screenshots and examples are listed and discussed. Grandfather Tang Goes to High SchoolIris DeLoach JohnsonThis article describes how the children's literature book, Grandfather Tang's Story, which is commonly used in the elementary grades, may be used at the high school level to engage students in an exploration of area and perimeter which includes basic operations with square roots, ordering numbers (decimal approximations, and their exact measurements in square roots).

 Departments Reader ReflectionsReader Reflections - March 2006 Sound Off!Sound Off! Trade in Your Pendulum for a Personal Spacecraft Media ClipsMedia Clips - March 2006 Calendar ProblemsCalendar Problems: March 2006 Delving DeeperDelving Deeper: How Does One Know if a Number Is Divisible by 17? Sharing Teaching IdeasSharing Teaching Ideas: Multiplying Polynomials Mathematical LensMathematical Lens: Staircase railing, Eastern Illinois University, Charleston, Illinois For Your Information/Products/PublicationsFor Your Information: March 2006