Using a geoboard to find polygons with given perimeters presents a problem which refines skills and provides an opportunity to inquire and discover. (MK)

This module, designed for use at the high school level as a four- to eight-hour topic, includes: the geometry of a sphere, the coordinate system used to describe points on the earth's surface, parallel and meridian sailing, and the solution of right spherical triangles. (Author/MK)

The following teaching ideas are presented: a game called 110 used to provide drill in remedial mathematics; an examination of a general formula for the lateral area of a nonright cylinder; nontraditional approaches to extraneous roots and quadratic equations; and an introduction to standard deviations. (MP)

A method of evaluation that permits some penetration into the teaching/learning process that connects the student, teacher, and program is described. The conclusions reached by this method can be applied to improving teaching strategies, inservice training, curriculum development, and evaluation. (MP)

A classroom photography activity is outlined that motivates learning of mathematical topics such as estimation, geometry, ratio, measurement, and algorithms. (MP)

Although traditional instructional methods and textbooks mitigate against it, investigation can be a viable alternative strategy in the geometry classroom. Many theorems in geometry, such as Euclidean space, lend themselves easily to student experimentation. (Author/SJL)

A discussion on the general equation of a line shows how students can be lead to discover mathematical properties, find how one discovery leads to another, see how different branches of mathematics can lead to a solution, and be provided with a starting point for studying special mathematical topics. (MP)

Explores evidence supporting need for the study of statistics at the high school level, considers the scope and sequence of a unit on statistics for high school students, and considers some relevant and useful activities for use with such a unit. (Author/DS)

The uses of random number generators are illustrated in three ways: (1) the solution of a probability problem using a coin; (2) the solution of a system of simultaneous linear equations using a die; and (3) the approximation of pi using darts. (MP)

This study attempts to explain certain difficulties which ninth grade students face in tackling geometrical "problems to prove," by relating them to general and to specific rigidity and cognitive style variables. The results confirm the conceptual analysis of Geometric Rigidity (GR). (MP)

The use of the randomized response technique as a tool of obtaining answers to sensitive questions is illustrated. Directions for two classroom experiments are included. (MP)

Included are nine brief notes on various aspects of infinity. These are an attempt to stimulate and organize the thinking of teachers and others who acknowledge the role notions of infinity play in mathematics and in children's thinking. (MK)

This report discusses students' understanding of the algebraic concepts of gradient and intercept with respect to simple graphs. A pilot study is described which attempts to identify the difficulties students encounter and determine the number of students who have these difficulties. (MK)

The purpose of this article is to stimulate a discussion about the teaching of algebra. It seeks to raise questions which are more fundamental than those so far generated by the manipulative skills debate. (Author/MK)

Attention is drawn to an ancient Greek method for finding the least common multiple (LCM) of two numbers. A link is established between this method and a well-known method of obtaining the highest common factor (HCF) numbers. This leads to consideration of some relationships between HCF and LCM. (Author/MK)