Gives definitions of taxicab geometry and the MacDraw format for graphing. In the world of taxicab geometry, movement through the plane is along horizontal and vertical paths. Describes specific application to conic sections, including circle, ellipse, parabola, and hyperbola. Lists five references. (YP)

Describes some general techniques for making collapsible models, including spiral models, for all the Platonic solids except the cube. Discusses the nature of the dissections of the faces necessary for the construction of the spiral cube. (ASK)

Shows how to construct a cube using Origami techniques. Also shows how, by identifying analogous features, to construct an octahedron. (JN)

Illustrated is the use of isometric graph paper in the discovery of nonstandard area formulas. The use of definitions, geometric construction, record keeping, and conjectures about triangles, rhombuses, hexagons, parallelograms, isosceles trapezoids, rectangles, and trapezoids are described. (YP)

Describes how origami can be used to help elementary school students learn geometrical concepts of shapes in two and three dimensions. Discusses equilateral triangles, Stars of David, rhombuses, and spirals. (MM)

Discusses Napoleon's involvement with mathematics and education. Describes two geometric constructions dividing the circumference of a circle into four equal parts and finding the center of a given circle. Summarizes the establishment of the Institute of Egypt and the educational system in France. Twenty-seven references are listed. (YP)

Possible ways of mechanization for counting using a binary system are discussed. Shows a binary representation of the numbers and geometric models having eight triples of lamps. Provides three problem sets. (YP)

Introduces, describes, and discusses the computer software, Cabri-Gomtre, an interactive microcomputer notebook for the teaching and learning of geometry. (JJK)

Illustrates attempts by three students to construct an isosceles triangle in Cabri and the construction of a capital A by a fourth student. Discusses Cabri's potential for encouraging students to focus on geometric properties and develop correct geometric language. (ASK)

Describes the mathematics of cycloidal curves. Illustrates how a Spirograph can be used to produce them. Discusses some modifications and applications of the Spirograph. (YP)

Discusses a calculation method to approximate pi. Describes how to get an approximation to the circumscribed and inscribed perimeters of regular polygons of n sides. Presents the computer program and result of the approximation. (YP)

Reviews research describing computer functions of construction-oriented computer environments and evaluates their contributions to students' learning of geometry. Topics discussed include constructing geometric concepts; the use of LOGO in elementary school mathematics; software that focuses on geometric construction; and implications for the…

Describes how to get equations for parabolas, ellipses, and hyperbolas from conic sections. Provides diagrams both in perspective and in cross-section for each case. (YP)

Proposes a new geometry curriculum for motivating middle school students. Discusses the treatment of geometry including visual justifications of geometric phenomena, examination of the properties of various common geometric figures, use of art and architecture, and inspection of geometric transformations. Eleven references are listed. (YP)

Discusses geometric construction problems. Presents four ways to construct a regular octagon using different conditions. Provides drawings showing the constructions. (YP)