Many ways exist to engage students without detracting from the mathematics. Certainly some are high-tech options, such as video games, online trivia sites, and PowerPoint® presentations that follow the same model as Jeopardy; but sometimes low-tech options can be just as powerful. One exciting way to connect with students is by incorporating…

When students work with a non-Euclidean distance formula, geometric objects such as circles and segment bisectors can look very different from their Euclidean counterparts. Students and even teachers can experience the thrill of creative discovery when investigating these differences among geometric worlds. In this article, the author describes a…

Students are immersed in a mathematically intensive, technological world. They engage daily with iPods, HDTVs, and smartphones--technological devices that rely on sophisticated but accessible mathematical ideas. In this article, the authors provide an overview of four lab-type activities that have been used successfully in high school mathematics…

This article will describe two activities in which students conduct experiments with random numbers so they can see that having at least one repeated birthday in a group of 40 is not unusual. The first empirical approach was conducted by author Cauto in a secondary school methods course. The second empirical approach was used by author Flores with…

The well-planned writing workshop is an effective tool for expanding the mathematical discourse of students and helping them become more skillful writers in the discipline. This article reviews a step-by-step process for conducting a workshop and details different reader response strategies. It also offers suggestions for various types of…

On a visit to Russia the author was able to inspect the Moscow papyrus, fragments of an ancient Egyptian mathematical document. (SD)

A three-digit number is chosen, the digits reversed, and the smaller is subtracted from the larger. The difference is a page number in the textbook; the teacher tells the last word on that page. The learning begins when the class uses algebra to prove why the teacher's trick works. (KM)

The authors answer conclusively the question of how certain regular polygons can be "fitted together" around a point in the plane. Proofs lead to the establishment of seventeen cases. (JP)

The author presents a discussion of mathematical solution(s) to the Instant Insanity" cube game. (JG)

A mathematical enrichment procedure for finding the day of the week of a specific year is presented. (JG)