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)

This article provides a chronological table on the history of geometry. The table describes the name and performance of mathematicians from the Babylonians to 1977. Nineteen references are listed. (YP)

Describes John Snyder's current interest in mapping, provides worksheets for a student map-projection activity, and explains how maps have been used throughout history. (MKR)

Tensile and compressive forces in planar trusses can be analyzed using either the method of sections or the method of joints. This article summarizes and extends a project accomplished by a high school student using the method of joints and graphing calculators, spreadsheets, and matrix-manipulation software. (MKR)

Examined geometric understanding and misconceptions among a deaf teacher and (n=5) deaf students. Students seemed to treat the sign for triangle as a picture of a triangle and not as a symbol representing the broad class of triangles. (MKR)

Presents five activities that will strengthen students' understanding of the properties, vocabulary, and concepts of geometric shapes. The activities teach concepts about angles, squares and triangles, and number theory. (TM)

Discusses the distinction between drawing and constructing in dynamic geometry environments. (MKR)

Presents a game used to help students learning polar coordinates in precalculus class. The game is a variation of the game Battleship with the major difference being that students use polar coordinates. Includes reproducible student worksheets and directions. (MKR)

Discusses the differences between mathematical constructions and drawing, offers tips for emphasizing construction, and discusses appropriate constraints of constructions. (MKR)

Shows similarities between realism and radical constructivism by presenting examples of using children's ideas in order to create education in the context of teaching spherical geometry. (18 references) (MKR)

Presents an allegory to illustrate the problem of testing an axiomatic system. A fictitious discussion begins by examining an axiomatic system underlying the intercom system of an association. The discussion continues to examine an unusual model of Euclidean geometry and a model of the noneuclidean geometry discovered by Lobachevsky. (MDH)

Contains an analysis of the activities of 12-year-old students solving problems of polygonal tilings and presents two categories of the thinking processes of these students: instantaneous thinking resulting in perceptions of simple structures and discursive thinking appearing in drawing activities and arguments of proofs. (13 references)…

Reports, in French, an investigation on the use of graphic representations in problem-solving tasks of the type in Spanish Mathematical Olympiads. Analysis showed that the choice and interpretation of the first graphic representation played a decisive role in the discovery of the solution. (34 references) (Author/MKR)

Discusses the development of fractal theory and suggests fractal aggregates as an attractive alternative for introducing fractal concepts. Describes methods for producing metallic fractals and a computer simulation for drawing fractals. (MVL)

Presents detailed information about the Cape of Good Hope project in which pairs of students designed capes and cloaks out of the garbage bags for a fashion show. Also describes student objectives, unit goals, group activities, products required, and the final show and presentation. (ASK)