The opportunity for students to develop formulas that involve tangent lines to a circle and the Pythagorean Theorem and to use approximation and common sense is provided in a suggested distance-to-horizon problem. (MN)

The good and bad points of Euclidean geometry and transformation geometry are briefly surveyed with emphasis on the teachability of Euclidean geometry and the mathematics of transformation geometry. (MN)

The author examines certain areas of confusion which arise in the teaching of linear equations for lines. (SD)

Several approaches to the teaching of matrices are discussed. (SD)

Data are given on how well 1520 secondary school geometry students wrote proofs. Examples of the proofs on the test are included, and the significance of the data and recommendations are discussed. A "rather low level" of achievement was found. (MNS)

Presents a computer program written in BBC BASIC to create fractal patterns. Discusses program modifications and gives graphic examples of changes. (JM)

Presented is a four-part program for teaching geometric concepts related to the shape of a football. The program includes activities in which students examine footballs, construct a football using isometric paper, examine the "football" versus a regular icosahedron, and investigate planes of geometry. (JN)

Presents three sample problems related to arithmetic and algebra, geometry, and calculus, indicating, in each case, similar problems that could be posed. Includes a discussion of positive benefits which result by asking students "Can you derive the result differently?" (JN)

Challenges traditional use of logic in the mathematics curriculum, indicating how it may be better used. Explicit suggestions and justification for placing inferential logic in high school geometry and relegating most of the sentential logic to algebra are provided. Overviews of both forms of logic are also provided. (JN)

Study and exploration of the hexagonal shapes found in honeycombs is suggested as an interesting topic for geometry classes. Students learn that the hexagonal pattern maximizes the enclosed region and minimizes the wax needed for construction, while satisfying the bees' cell-size constraint. (MNS)

Suggests that algebra, geometry, and recent history can be combined in lessons pertaining to an ongoing, relevant controversy related to paper sizes. Early paper sizes, International Standards Organization (ISO) paper sizes, the "golden rectangle," and paper sizes in the United States are discussed. (JN)

Suggests specific topics in inferential logic which might be incorporated into the geometry course and illustrates how the use of inference schemes may help justify the effectiveness of proof techniques. (MNS)

This bibliography focuses on articles published before January 1, 1976, which are concerned with the history of elementary mathematics topics. (DT)

A study of geometric convexity, where the emphasis is on the gradual organization of a field by mathematizing, is outlined. (DT)