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)

The results of investigations into finite geometries, prompted by questions raised in a course for secondary school mathematics teachers, are presented. The discussion of points, lines, and incidences led to consideration of graphs of second-degree equations in finite projective planes. (MNS)

This paper develops a set of parametric equations for the prolate cycloid and analyzes the motion of the point generating this cycloid. (DT)

Directions are given for the mechanical construction of hyperbolas, ellipses, conchoids, and lemniscates. (DT)

A mathematics university student as a future mathematician should have the ability to find "new" mathematics structures or construct theorems based on particular axioms. That ability can be created by using problem posing tasks. To do the tasks, students with different abilities will use different thinking strategies. To understand them…

This report describes a program for increasing students' ability to simplify square roots. The targeted population consisted of high school students in a rural community in a midwestern plains state. The problem of the ability to understand the abstract algebraic process of simplifying square roots was documented through teacher-made tests,…