In this article, we consider the generalization of a “solitaire checker puzzle” from the book More Joy of Mathematics, by Theoni Pappas (1991). In addition to presenting the solution to the general case, we shall also investigate the attractive patterns that emerge during the process of solving the puzzle, as well as in analyzing the minimal solutions of various cases.
Susan G. Staples
David Deutsch and Benjamin Goldman
Reinforce the difference between inductive and deductive reasoning using a small number of points around a circle.
Sarah A. Roberts and Jean S. Lee
Skyscraper Windows, a high cognitive demanding algebra task, addresses the Common Core State Standards for Mathematics.
Jonaki B. Ghosh
By engaging in recursive and explicit reasoning, students gain insight into the nature of fractal constructions.
Use popular culture to draw students' attention to mathematical topics.
Sarah K. Bleiler-Baxter, Sister Cecilia Anne Wanner O.P., and Jeremy F. Strayer
Explore what it means to balance love for mathematics with love for students.
Jonaki B. Ghosh
Carefully designed tasks enable preservice teachers to explore this puzzle through concrete, pictorial, numerical, symbolic, and graphical representations and engage in explicit and recursive reasoning, deal with counting problems, create Hanoi graphs, and develop mathematical thinking.
Scott J. Hendrickson, Barbara Kuehl, and Sterling Hilton
This article explores teaching practices described in NCTM's Principles to Actions: Ensuring Mathematical Success for All. Student thinking, a learning cycle, and procedural fluency are discussed in this article, which is the second installment in the series.
I always seek activities that might stretch my students yet would be accessible to them; that might require logical thought yet would contain counterintuitive elements; that might provide the opportunity to venture into new mathematical realms yet would have a simple starting point. This article and the activity that inspired it did indeed arise by way of a relatively straightforward problem that I proposed to one of my classes.