A twenty-week course was designed around investigating many properties of the torus. Topology, differential geometry, and topics from both real and complex analysis were included. (SD)

A college course is described in which mathematics was taught through the perspective of historical development. Readings for the course and synopses of lectures are included. (DT)

Methods for getting a computer-linked plotter to do a total plot of a relation are discussed. (DT)

A computer-managed exercise to enhance the meaning of the first and second derivatives of a function at a point is explained. A copy of the program written in BASIC PLUS is included. (DT)

A method is presented for finding an asymptote which is not parallel to the x or y axis in a graph. (DT)

A Mascheroni construction for obtaining the length of a line segment which is the square root of a natural number is explained. (DT)

This article treats aspects of Gaussian integers that form a setting in which students can generalize concepts from elementary number theory. (DT)

The present mode of computer usage, with its emphasis on numerical problem solving, in typical undergraduate mathematics courses is questioned. The role of the computer in developing an awareness of shape and pattern is emphasized. (DT)

By changing the Euclidean metric definition, a new geometry is developed. Properties of figures are analyzed and theorems are proven in this new system. (DT)

Three programs of individualized instruction in a mathematics laboratory for the community college student are described. Problems and advantages of the programs, including costs; student dropout rate; teacher role; design, operation and management of the laboratory, and grading are discussed. (DT)

Procedures being used in an individualized approach to college mathematics instruction are described. Advantages and disadvantages of the independent-study approach are discussed. (DT)