Jennifer Bergner, Randall Groth
A 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.
Nial Neger, Michael Frame
A 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.
Mark Yates
Finding 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.
Stanley Bezuszka, Margaret Kenney
How 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.