Described is a computer algorithm for obtaining the coordinates of vertices, chord factors, and dihedral angles for plotting orthographic and axonometric projections, and for tabulating chord lengths and dihedral angles. (Author)

Focuses on the place of discrete mathematics in the grades 9-12 mathematics curriculum and discusses how the topic of recursion should be taught. Presents several examples of recursion involving LOGO, spreadsheets, sequences, Pascal's triangle, and the Tower of Hanoi to illustrate its teaching. (MDH)

Presents results of a study in Greece, Scotland, and the United States in lower secondary mathematics classes using haptic exploration, the intentional movements of one's hands about an object, as an alternative approach for teaching the geometry of two- and three-dimensional shapes. Students performed poorly with solids. (MKR)

Describes a method for determining the distance to the horizon which leads to determining the radius of the Earth. The article answers two interesting science questions: (1) Can you see the state of Kansas from Pike's Peak in Colorado? and (2) Can you see two sunsets in one day on the Keys of Florida? (MVL)

Presents a classroom mathematics project for preservice teachers or secondary school students in which students investigate roughness or ruggedness of the boundaries of a state. (MKR)

Graphical representations of geometrical objects from high school textbooks are categorized according to the implicit conventions underlying their display. The fact that specific illustrations can lead to students' misconceptions about geometric objects is analyzed in relationship to the principle of parallel projection with implications for the…

Presents the Morris Loe Angle Trisection Approximation Method to introduce students to areas of mathematics where approximations are used when exact answers are difficult or impossible to obtain. Examines the accuracy of the method using the laws of sines and cosines and a BASIC computer program that is provided. (MDH)

Presented is a concrete, realistic way of representing concepts of coordinate geometry. Students represent the coordinates in a living version of a five-by-five square geoboard. Procedures and examples for using this activity are included. (KR)

Explores the close relationship between pattern formation and traditional geometry using the LOGO programing language with the specific example of joining squares, corner to corner, to form a closed ring. Includes the LOGO programs utilized, as well as color illustrations of the interesting and eye-catching patterns generated. (JJK)

Described is a course that focuses on theory and techniques for ideation and refinement of geometric models used in mechanical engineering design applications. The course objectives, course outline, a description of the facilities, sample exercises, and a discussion of final projects are included. (KR)

Entering a value into a calculator and repeatedly performing a function f(x) on the calculator can lead to the solution of the equation f(x)=x. Explores the outcomes of performing this iterative process on the calculator. Discusses how patterns of the resulting sequences converge, diverge, become cyclic, or display chaotic behavior. (MDH)

Ways in which the standards of problem solving, communication, reasoning, and connections can be incorporated into the elementary geometry curriculum are identified. Visualization of figures, conservation of area, shape and space, and multicultural study are discussed. (KR)

Described is research which sought to prove the hypothesis that mental models tend to preserve their autonomy with regard to the originals they are meant to represent. The results of this investigation involving 200 Israeli students are presented. (CW)

Presents an activity suitable for rainy days in which students solve a story problem to determine how fast a person should run in the rain to get the least wet. (MDH)

Discusses the use of computers to teach proofs. Presents some possibilities of computer use in teaching proofs. (ASK)