Described is computational geometry which used concepts and results from classical geometry, topology, combinatorics, as well as standard algorithmic techniques such as sorting and searching, graph manipulations, and linear programing. Also included are special techniques and paradigms. (KR)

Described is the idea of set isometry as examples of Euclidean and non-Euclidean metrics. Included are examples in R squared, preliminaries, and extensions. (KR)

Presented are several models that seem to lead to a better understanding of axiomatics by students. These examples are more like real geometry than the usual examples. Included are the theorems, proofs, and graphs of the functions. (KR)

Provides two examples of the "regular falsi" method using geometry and a computer program. (YP)

Provides four activities asking students to observe and classify star patterns and to identify polygons and continuous paths while observing similarities and differences. Presents the objectives, directions, extensions, answers, references, and worksheet for each activity. (YP)

Describes how to check constructions measuring with a protractor or compass and using LOGO programs. The LOGO program and directions are included. (YP)

Shows that the ratio of the area of the quadrilateral formed by joining the kth points to the area of the original quadrilateral is constant whether it is convex or concave quadrilateral. Presents many geoboard or dot paper diagrams and geometrical expresssions. (YP)

Describes the definition and characteristics of a regular polyhedron, tessellation, and pseudopolyhedra with diagrams. Discusses the nature of simplex, hypercube, and cross-polytope in the fourth dimension and beyond. (YP)

This is the position statement of the National Council of Supervisors of Mathematics describing the essential mathematical competencies that citizens will need to begin adulthood in the twenty-first century. Twelve components of essential mathematics, the learning environment, technology, evaluation, and extension of the essentials are described.…

Explores the production of shadows for drawings using the LOGO computer language and Affine Geometry. Explains the methodology of the shadowing and lists the Affine Turtle procedures. Provides for different versions of LOGO. (MVL)

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)