Presents a sequence for mathematics lessons designed to facilitate students' competency in executing mathematical processes and to apply the processes to real-life situations. The sequence involves: conceptualization of the process, knowledge of terminology, knowledge of algorithms, and ability to recognize when the process is applicable to…

The article presents and discusses an optimization problem concerned with observing objects from a moving car. (MK)

This article gives an overview of the new field of complexity theory which links computer science to mathematics, and ultimately to the solution of theoretical as well as practical problems in society and technology. (Author/MK)

A mathematical technique for solving for the interest rate of a given annuity is explained. The technique is applied to a BASIC program that finds interest rate given the future value, number of payments, and the value of the payment. (MP)

The wide applicability and great usefulness of mathematics are illustrated. No comprehensive definition of mathematics is given, but salient features of mathematics are discussed. (MK)

Argues that fractions should still be taught, even though they have been replaced by decimals in most real-world applications. (SJL)

Provides information on the calculation of the redshift to blueshift ratio introduced by the transverse Doppler effect at relativistic speeds. Indicates that this shift should be mentioned in discussions of whether quasars are "local" rather than "cosmological" objects. (GS)

An application of the integration of polynomials is presented as an example of how integrals can be used in areas outside mathematics and mathematical physics. (MP)

Discusses instructional tactics for dealing with mathematics exercises in advertising/media planning courses. (RL)

A course in mathematical model-building is described. Suggested modeling projects include: urban problems, biology and ecology, economics, psychology, games and gaming, cosmology, medicine, history, computer science, energy, and music. (MK)

The decline in enrollment in mathematics courses at universities is used as evidence of the increasing irrelevance of the mathematics done and taught at that level. (MP)

Mathematical models and their construction are discussed. Successful mathematical model building is suggested as requiring a combination of deductive thinking and an understanding of the external world. (MP)

A number of questions are posed that can be answered with the aid of calculus. These include best value problems, best shape problems, problems involving integration, and growth and decay problems. (MP)

Presents new least-squares algorithms that update a fit after each point is entered so trends can be detected promptly as an experiment proceeds. (MLH)

Provides directions for constructing graphical alignment charts to solve a variety of mathematical physics problems. (MLH)