Reinforce the difference between inductive and deductive reasoning using a small number of points around a circle.
The Spot Problem Revisited
Patterns Jumping Out of a Simple Checker Puzzle
Susan G. Staples
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.
Delving Deeper: Kaprekar's Constant
David Deutsch and Benjamin Goldman
Because We Love
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.
Algebraic Thinking through Koch Snowflake Constructions
Jonaki B. Ghosh
By engaging in recursive and explicit reasoning, students gain insight into the nature of fractal constructions.
Exploring Geometric Sequences
Use popular culture to draw students' attention to mathematical topics.
The Back Page: My Favorite Lesson – The Purple Milk Problem
Kasi C. Allen
In this favorite lesson, students must engage in cooperative problem solving and think outside the algebra box as they work to make sense of the Purple Milk problem.
A Skyscraping Feat
Sarah A. Roberts and Jean S. Lee
Skyscraper Windows, a high cognitive demanding algebra task, addresses the Common Core State Standards for Mathematics.
Cracking Codes and Launching Rockets
Teo J. Paoletti
This historically significant real-life application of a cryptographic coding technique, which incorporates first-year algebra and geometry, makes mathematics come alive in the classroom.
Tower of Hanoi: Exploring Multiple Representations
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.