Mathematical observations are made about some continuous curves, called transitions, encountered in well-known experiences. The transition parabola, the transition spiral, and the sidestep maneuver are presented. (MNS)

The use of continuous simulation is promoted as a teaching tool in the undergraduate curriculum. Simulation, advances in continuous simulation, an approach to teaching system dynamics, computer languages deemed suitable for continuous simulation, and an outline of a prototypic first course in continuous simulation are presented. (MP)

Describes a method, considered appropriate for presentation to undergraduate students in materials science and related courses, for the calculation of cohesive energies of the alkali metals. Uses a description based on the free electron model and gives results to within 0.1 eV of the experimental values. (Author/GS)

Describes the "Two-Eight" instructional model for students who have arithmetic computational skills but lack the ability to select appropriate strategies to solve problems. Offers examples showing the replacement of the actual values used in a word problem with the simple numeric values of 2 and 8 to create a parallel, solvable problem. (DMM)

This set of transparencies shows how the manipulation of combinatorial structures in the context of modern combinatorics can easily lead to interesting teaching and learning activities at every level of education from elementary school to university. The transparencies describe: (1) the importance and relations of combinatorics to science and…

Examines four areas of difficulty with graphing and modeling, identifies confusions and misconceptions, and shows how these areas interact in the presence of data-collection devices. (KHR)

The ways in which ratio analysis can help in long-range planning, budgeting, and asset management to strengthen financial performance and help avoid financial difficulties are explained. Types of ratios considered include balance sheet ratios, net operating ratios, and contribution and demand ratios. (MSE)

Discusses the parallels between Klein's position at the forefront of a movement to reform mathematics education and that of the National Council of Teachers of Mathematics' (NCTM) Standards. Draws a picture of Klein as an important historical figure who saw equal importance in studying pure mathematics, applying mathematics, and teaching…

This guide is intended to help vocational and mathematics teachers design and implement integrated mathematics-vocational education courses. The guide is organized in six sections. Following two sections containing information about the project in which the guide was developed and how to use the guide, Section III provides guidelines for…