Presents three traditional problems from discrete mathematics with alternative solutions and discussion of those solutions. (PK)

Discusses the loss of precision that normally results in solving equilibrium problems, particularly as presented through the use of quadratic formulas in most introductory college chemistry textbooks. Provides examples of demonstrations. (TW)

Discusses the development of problem-oriented mathematics materials for a wide variety of students. Materials include teaching guides, student materials, case studies in mathematical modeling, and project activities. Examples of these materials (including a sports-related activity for students who have not had success in mathematics) are provided.…

This publication features articles that illustrate how several Northwest teachers are using problem solving to achieve rigorous and imaginative learning in their classrooms. Articles include: (1) "Open-Ended Problem Solving: Weaving a Web of Ideas" (Denise Jarrett); (2) "Teenager or Tyke, Students Learn Best by Tackling Challenging Math" (Suzie…

This study investigated the nature of spatial ability, as measured by four instruments based on spatial orientation and visualization, and its relationship to the mathematical performance of elementary school pupils. Participating in the study were 127 elementary school students, 72 boys and 55 girls, ages 10 to 11 years. Spatial ability was…

Two books ("The Mathematical Experience" and "Mathematics Tomorrow") raise many issues about mathematics and education, including how mathematics education must be disciplined by focusing on the real world. Examined are ways the books take adequate account of the constraints present in problems they consider. (JN)

Describes topics and applications of five lessons dealing with applied mathematics (solving sequential optimization problems, queuing theory, graph theory, glyphs (pictorial techniques for displaying relationships among variables, medical mathematics). Design and evaluation of these materials which employ interactive graphics are also described.…

Suggests various methods for teaching the double layer in electrochemistry courses. Topics addressed include measuring change in absolute potential difference (PD) at interphase, conventional electrode potential scale, analyzing absolute PD, metal-metal and overlap electron PDs, accumulation of material at interphase, thermodynamics of electrified…

Applications of an LR-1 parsing algorithm to intelligent programs for computer assisted instruction in symbolic logic and foreign languages are discussed. The system has been adequately used for diverse instructional applications, including analysis of student input, generation of pattern drills, and modeling the student's understanding of the…

An elementary formalism is developed for representing curved space-time which allows transparent qualitative explanation of general relativistic effects and is used to make a conceptual analysis of Einstein's principle of equivalence. A final section outlines a number of student activities. (Author/SK)

Examples of the application of compound pendulum theory to the practical measurement of the moments of inertia of human beings, farm tractors, and sailing boats are presented. Suggests developing laboratory experiments to measure moments of inertia of hockey sticks, golf clubs, and frisbees, among others. (Author/SK)

Presented are four activities which integrate mathematics and science activities involving problem-solving skills. Topics of activities include derivation of pi (3.14), determining the volume of a bell jar, estimation skills, supplementary exercises using geometric and metric system tables, general laboratory exercises, and supplemental problems.…

Describes a three-hour, one-semester graduate course to provide numerical methods and modeling techniques to handle problems in future courses or engineering practice. Includes rationale for topics such as interpolation, integration, and equation roots, among others. Indicates that all problems require computer use. (SK)

More work with fractions needs to be done in the elementary school, with emphasis on concepts rather than computational algorithms. (MP)

Introduces a Martian simulation activity that aims to build a scale model of Martian terrain in the classroom. Uses an interdisciplinary approach to teach science process skills, modeling, scaling, sampling, population calculation, and genetics. (YDS)