Epicycloids are formed by tracing the path of a fixed point on a circle as it rolls aroung the outside of a larger circle. Examines several possibilities related to epicycloids (and hypocycloids), presenting more mathematical patterns and artistic shapes that result from using several computer programs. Program listings are included. (JN)

Discusses properties of epicycloids. (The easiest way to picture them is to think of a piece of radioactive bubble gum attached to a wheel which is rolling around the outside of a larger wheel.) Includes a computer program (TRS-80 color computer) that will graph any epicycloid with integer values for the radii. (JN)

The major intent of this project was to design microcomputer lessons utilizing the unique features of computers to teach a high school mathematics topic. After reviewing the literature, it was decided to write a series of three tutorial lessons for a class in high school trigonometry which would present the concepts of amplitude, period, phase…

Identifies conceptions that students have with regard to the construction of graphs representing everyday situations in a computer learning environment using a GRAPHIC plotter, and examines the resistance of alternative conceptions to formal instruction. Following instruction, no significant improvement in students' performance was observed.…

Illustrates how muMATH can be used for manipulating abstract differentiation rules, optimization, implicit differentiation, related rules, and verifying the chain rule. (MVL)

Gives definitions of taxicab geometry and the MacDraw format for graphing. In the world of taxicab geometry, movement through the plane is along horizontal and vertical paths. Describes specific application to conic sections, including circle, ellipse, parabola, and hyperbola. Lists five references. (YP)

Presented are some current facts about symbol manipulators and their relation to high school mathematics. The development of computer algebra systems is discussed. Five areas of computer algebra needing investigation (skill proficiency, understanding, curriculum content, student homework, and equity) are identified. (MVL)

Discusses dimensionality in Euclidean geometry. Presents methods to produce fractals using LOGO. Uses the idea of self-similarity. Included are program listings and suggested extension activities. (MVL)

The Montgomery County Public Schools Computer Assisted Instruction (CAI) Program began in 1968, was federally funded for its first three years, and since 1971 its activities have been supported through local funds and an outside grant covering the lease of the computer for the project. During the last three years validated CAI materials developed…