This article explores how different proofs of a solution to the Surfer Problem provide answers to the question "Why"?

This article describes a development of conic surfaces that connects different definitions of the conics. A classroom project using Dandelin Spheres is also described.

This lesson plan uses group activity and manipulative materials to teach English-speaking students (ages 15-16) of diverse ethnic backgrounds an operatonal understanding of the Pythagorean Theorem. It is based on theories of constructivism and holism and includes teacher instructions, discussion questions, a retrospective vision, and an ancillary…

Explains the asymmetry between left-right and up-down when your image is viewed in a plane mirror in psychological rather than physical terms. (GS)

This brief biography of Riemann is one of a series of biographical sketches in this journal. Riemann was born in Germany in 1826 and studied with Gauss among others. His numerous contributions to mathematics include the invention of a non-euclidean geometry and the founding of topology. (SD)

The author responds to a lecture given by Dieudonne, reported in the September 1973 issue of this journal, by considering the goals for mathematics instruction and by defending the selection of content and approaches for geometry, algebra, and trigonometry. (DT)

This is the first volume of the proceedings of the Committee on the Undergraduate Program in Mathematics (CUPM) Geometry Conference, held at Santa Barbara in June, 1967. The purpose of the conference was to consider the status of geometry in colleges at the undergraduate level. The conference, attended by undergraduate mathematics teachers,…

GRADES OR AGES: Secondary. SUBJECT MATTER: Geometry. ORGANIZATION AND PHYSICAL APPEARANCE: The subject content of the guide is arranged in four columns--major areas, significant outcomes, observations and suggestions, references and films. The guide is mimeographed and spiral bound with a soft cover. OBJECTIVES AND ACTIVITIES: General objectives…

The second of three volumes of a mathematics training course for Navy personnel, this document contains material primarily found at the college level. Beginning with logarithms and trigonometry, the text moves into vectors and static equilibrium (physics). Coordinate geometry, conic sections, and the tangents, normals, and slopes of curves follow.…

Discusses quantitative, purely geometrical features of field lines; equations are derived for field lines and radii of curvature of field lines for several idealized cases. (MLH)

How current calculus textbooks consider the relationship between the tangent line and the derivative are discussed, with three theorems presented. (MNS)

This study was designed to assess differences between male and female geometry students' perceptions of ideal mathematics student behavior and attitudes and their own behavior and attitudes as mathematics students. The conclusions, which show that important differences about participation and potential achievement exist, are explained. (MT)