How can statistics clearly be mathematical and yet distinct from mathematics? The answer lies in the reality that statistics is both an art and a science, and both aspects are important for teaching and learning statistics. Statistics is a mathematical science in that it applies mathematical theories and techniques. Mathematics provides the…

A project that mixes algebra with data collection, uses technology, extends into data analysis, and cooks marshmallows can excite both teachers and students. This article describes a project that intends to pique students' interest in higher mathematics, incorporate their knowledge of parabolas, and offer a meaningful mathematics experience. Using…

While helping high school students develop statistical thinking, teachers need to engage them in all phases of investigative cycle. Students should master some of the nonmathematical elements of the cycle involved in identifying a problem, creating a plan of attack and gathering necessary data.

A fairly traditional precalculus problem is modified to address some common concerns with the teaching of problem solving. Areas of problem solving which are illustrated include: posing the problem; modeling the problem; transforming the data; and examining the solution. (PK)

Project questions are real-world problems with multiple solutions, no obvious solution sequence, requiring hands-on data collection, and investigation of topics within and outside mathematics. Discusses evaluation of solution processes, describes a detailed example involving the trajectory of a baseball, and suggests 19 other project questions.…

Solves the problem of the reproduction of rabbit pairs utilizing the Fibonacci sequence. Examines modified versions of the problem, and presents a vignette of one modification based on the author's experience in using the approach with preservice middle school teachers. Extends the approach to other related problems. (MDH)