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January 2005, Volume 98, Issue 5

 FEATURES Making Mathematical Connections by Constructing TetrahedraJennifer Bergner, Randall GrothA polyhedra construction project that illustrates how one activity can address several of the mathematics content standards. Directions are given for a multiple day lesson on building a large tetrahedron in groups. Visualizing the Domain and Range of the Composition of FunctionsNial Neger, Michael FrameA graphical method for visualizing compositions of functions; this method is used to find domains and ranges of compositions. Authors use examples of graphical iterations from Chaos Theory. Directions are given for teachers/students to use their graphing calculators in similar examples. Placing a Deck of Cards in OrderMark YatesFinding the minimum number of moves to order a deck of cards by placing them in suits, but not necessarily in order. Students gather data and create equations to model their patterns in algebra or statistics. That Ubiquitous Sum: 1 + 2 + 3 + • • • + nStanley Bezuszka, Margaret KenneyHow the arithmetic series 1 + 2 + 3 + . . . + n is pervasive in mathematical contexts as a powerful problem-solving tool. Algebra students solve the problem with multiple approaches including geometric and creating general equations. Authors discuss the work of Cantor and Gauss in relation to the series.

 Departments Reader ReflectionsReader Reflections: January 2005 Media ClipsMedia Clips: January 2005 Mathematical LensMathematical Lens: Side of a Building, Montreal, Quebec Calendar ProblemsCalendar Problems: Dec. 2004 and Jan. 2005 Calendar ProblemsCalendar Problems: January 2005 Delving DeeperDelving Deeper: A Tale Of Two Theorems Technology/Technology TipsTechnology Tips: Macromedia Flash MX 2004 Activities (for students)Activities for Students: Curve Stitching: Linking Linear and Quadratic Functions For your Information/Products/PublicationsFor Your Information: January 2005 ProjectsProjects: TeacherLine's Ready to Teach Algebra: A Scalable Support Program for Algebra Teachers