Describes one instructor's approach to incorporating simulations and classroom discussions into a differential equations course. Discusses subsequent effects on student learning attitudes and outcomes in conceptualizing and applying ideas regarding solutions to differential equations in this learning environment. Explores issues on…

Students (n=61) in an experimental course stressing active student involvement and the use of a computer algebra system scored higher than students (n=76) in a traditional college algebra course on final measures of inductive reasoning, visualization, and problem solving while maintaining equivalent manipulation and computation skills. (Author/MLB)

Presents a computer-mediated discourse on the Pythagorean equation in a university classroom of preservice and inservice teachers. Shows how the use of a spreadsheet as a two-dimensional modeling tool enables students to conjecture the general solution to the Pythagorean equation. Argues that a computational approach to the ancient problem…

The Triple Representation Model of problem solving is presented. The use of microcomputers in this problem-solving environment is discussed, and examples are provided. The integration of this method into the mathematics curriculum is described. (CW)

ENLIST Micros, a project designed to improve quality and quantity of microcomputer use in science teaching, is described. Rationale and procedures behind its development; description of the pilot test model; results of the initial field test and an implementation study; description of the revised ENLIST Micros curriculum; and recommendations for…

Proposes an alternative means of approximating the value of complex integrals, the Monte Carlo procedure. Incorporating a discrete approach and probability, an approximation is obtained from the ratio of computer-generated points falling under the curve to the number of points generated in a predetermined rectangle. (MDH)

Described is an activity that incorporates a computer, geometry, algebra, trigonometry, and calculus to answer questions about the planet Mars. A possible crescent of Mars is compared to those of Venus and Mercury. (KR)