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…

The article describes the harmonic mean and explores situations for using it. Activities that involve hands-on practice for students are provided. Students learn to recognize which mean, harmonic or arithmetic, is appropriate.

The generalization of the solitaire checker puzzle and the attractive patterns that emerge during the process of solving the puzzle, as well in analyzing the minimal solutions of various cases are discussed. Both linear and quadratic patterns are intrinsically linked to this game and the shift from one to the other involves only a slight change…

Discusses students' exploration of a particular rational function in the context of people waiting in line for service. The concepts of domain, range, and asymptotes are also developed in that context as is the effect of changes in input variables on function outputs. (Author/NB)

The various roles and uses of mathematics in developing global awareness in students are considered. Mathematics as a unifier of human experience and problem solving with a global emphasis are discussed with many illustrative examples. (MNS)

Describes some mathematical investigations of the necktie which includes applications of geometry, statistics, data analysis, sampling, probability, symmetry, proportion, problem solving, and business. (MKR)

Guides students through the process of designing a window. Allows them to use technology and a variety of representations while maximizing and minimizing the dimensions based on cost and light. Includes activity sheets. (Author/NB)

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)

Describes a project combining precalculus and transition mathematics students focusing on popcorn by comparing popping ratios of different brands of popcorn and finding what size box could hold the most popped corn. Project design required group effort and cooperation. Students exhibited growth of positive attitudes toward the study of mathematics…

Suggests ways in which mathematical models can be presented and developed in the classroom to promote discussion, analysis, and understanding of issues related to energy consumption. Five problems deal with past trends and future projections of availability of a nonrenewable resource, natural gas. (Contains 13 references.) (MDH)

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.…

Following a brief historical review of the mechanism of mathematical modeling, examples are included that associate a mathematical model with given data (changes in sea level) and that model a real-life situation (process of parallel parking). Also provided is the rationale for the curricular implementation of mathematical modeling. (JJK)

Uses a graphing calculator to predict the record for running a mile, throwing a shot put, and high jumping for any year in the future and the probable record for any year before statistics were kept, based on the statistical analysis of prior records. Data tables and a computer program are provided. (MDH)

Suggests that secondary school students seem to have reasonably good procedural knowledge in areas of mathematics as rational numbers, probability, measurement, and data organization and interpretation. It appears, however, that students are lacking the conceptual knowledge enabling them to successfully do the assessment items on applications,…