A carpenter's square can be used to introduce students to an alternative method of performing geometric constructions. (SD)

Descriptions and pictures of apparatus for use in teaching measurement are accompanied by descriptions of typical uses of the materials. A list of names and addresses of suppliers is included. (SD)

Six different methods were used by students to solve the problem of finding the area of a given trapezoid. A seventh method used by textbooks is also discussed. (MP)

Finding the shortest route between two points can be approached by vector methods. Several types of matrices modelling a map of 6 cities are described. (SD)

Argues that Euclidean geometry should assume the central role it once had in mathematics education, describing a teaching method that uses slides made with superimposed overhead projector transparencies. The method (constituting a game of clues and hints) assumes students understand deduction and the roles of postulates, theorems, and proofs. (JN)

A problem is discussed in which students investigate the properties of the perfect triangle. (MNS)

Constructions with transparent tape are described for bisecting a segment and an angle, copying a segment, and dropping a perpendicular. A proof is included. (MNS)

Euler's discovery about the centroid of a triangle trisecting the line segment joining its circumference to its orthocenter is discussed. An activity that will help students review fundamental concepts is included. (MNS)

Presents an Applesoft computer program to help students translate abstract sentences into concrete visible lines and thereby discover and confirm facts about slopes, intercepts, angles, and intersections. The program graphs and analyzes lines, given as equations of the form Y equals M times X plus B. (JN)

Describes an activity approach for teaching upper elementary school students the concept of angles. In the interdisciplinary activity, students practice reading and drawing angles from 0 to 360 degrees as they simulate the behaviors used to navigate a sailboat. Includes list of equipment needed and procedures used. (JN)

Lists three guidelines for the sound use of manipulatives in teaching geometry. Also describes activities that use manipulatives to teach topics in geometry and measurement and which illustrate the application of the three guidelines. (JN)

Presents activities involving the addition of antinumbers (which uses novel numerical characters); a puzzle which combines practice in working with polynomials and solving simple equations with intriguing facts about turkets; and searching for the number of different right triangles in a given square grid (which helps develop spatial…

Activities involving estimation of the number of objects in a configuration can motivate students to consider parametric models. (SD)

Geoboards are viewed as excellent vehicles for developing intuitive understandings of various topics in transformational geometry. The activities described are designed to show pupils that when a triangle or parallelogram is subjected to a transformation called a shear, its area is not changed. Ways for finding areas are detailed. (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)