An application of trigonometry in weather forecasting, dealing with cloud height, is discussed. (MNS)

A problem on speed of travel is stated in general terms to provide practice in algebraic manipulation while maintaining a sense of real-world usefulness. A computer program is listed. (MNS)

Four activities with window panes are described and illustrated as they extend children's knowledge of fractional numbers. (MNS)

First year chemical engineering students are required to take a two-semester sequence in applied mathematics at the University of Pennsylvania, with the option of taking a third semester elective course. The content of the courses and the approaches used are discussed. A list of textbooks used is also provided. (JN)

A brief review is given of some recent investigations into the use of mathematics in industry. Questionnaires and observations are each discussed plus the development of curriculum materials in several projects. (MNS)

Discusses the transmission of incident energies at a one-dimensional square barrier when energies are greater than the barrier height and the region accommodates a whole number of half wavelengths of psi. Describes sketching the probability density curve, physical interpretation, and special cases. An appendix develops the mathematics in greater…

Fractal geometry is explored, with sections on snowflakes and flow snakes, Mandelbrot's definition of fractal, and other fractals. (MNS)

Study and exploration of the hexagonal shapes found in honeycombs is suggested as an interesting topic for geometry classes. Students learn that the hexagonal pattern maximizes the enclosed region and minimizes the wax needed for construction, while satisfying the bees' cell-size constraint. (MNS)

Described is the geometry of the antenna, particularly the reflective properties of the parabola and hyperbola, which determine the microwave path and concentrate the weak incoming energy. (MNS)

Suggests that algebra, geometry, and recent history can be combined in lessons pertaining to an ongoing, relevant controversy related to paper sizes. Early paper sizes, International Standards Organization (ISO) paper sizes, the "golden rectangle," and paper sizes in the United States are discussed. (JN)

Portions of the Cockcroft Report which seem confusing are discussed. The connections among problems, applications, and investigations are considered in sections on being a mathematician; open is in the mind; assumptions, rules and patterns; and learning not to be anxious. (MNS)

Several examples of problems involving measurement that occur in the life of a contractor are presented, along with solutions. Several sample measuring activities for students are included, with comments. (MNS)

The continuing need to go metric is discussed. Impetus, however, comes from the state and local level, rather than nationally. (MNS)

What is encompassed by mechanics is discussed in terms of its use to show the ability of mathematics to model the real world. How and when to include mechanics in teaching mathematics is then illustrated and discussed. (MNS)

The author advocates changing the traditional approach to mechanics from emphasis on the formulation of Newton's Laws to discussion of the foundations of mechanics and Mach's formulation. (SD)