Reports on a research project to use transformation geometry to give students an opportunity to work with proportions using visual models. (YDS)

Presents a problem-solving activity, the birth order problem, and several solution-seeking strategies. Includes responses of current and prospective teachers and a comparison of various strategies. (YDS)

Describes an art lesson using the styles of Charles Demuth and Charles Sheeler in which the students created computerized drawings containing geometric forms. Explains that the lesson incorporates computer technology, art, and mathematics. Provides background information on Demuth and Sheeler and discusses procedures for the lesson. (CMK)

Describes and compares the Archimedes and the Zu Xuan approaches in computing the volume of sphere in the East and West. Discusses how to motivate a group of teacher trainees to relate these two approaches to the evolution of calculus ideas. (Author/KHR)

Activities which can be used to explore arrangements of five-sided polygons to cover a plane with no spaces are suggested. Sample tessellations are provided. Instructional methods involving this concept are discussed. (CW)

Presented are two cases of simple geometrical calculations involving the large numbers of atoms that are encountered in two ordinary situations. Included are questions about the spatial implications of the genome and a mole of hydrogen. (CW)

Described is a way to illustrate cyclic and dihedral groups through symmetry using corporate logos and hubcaps. Examples of the different kinds of symmetry groups are explained in terms of Leonardo's Theorem. (KR)

Presented is a way of extending the list of rotation groups to include all finite subgroups of symmetries of the sphere, up to conjugation in its full group. Included is Klein's method for enumeration of the finite subgroups. (KR)

Presented is L'Hopital's rule for the evaluation of limits in the case when x goes to infinity using geometric concepts. Included are the rule, extensions, counterexamples, and a rule for sequences. (KR)

Discussed are the idea, examples, problems, and applications of convexity. Topics include historical examples, definitions, the John-Loewner ellipsoid, convex functions, polytopes, the algebraic operation of duality and addition, and topology of convex bodies. (KR)

Presented is a game using different types of dominoes that represents growth of seeds from the beginning of the universe. Included are diagrams of the types of seeds, instructions, and examples of the game play. (KR)

Describes an activity to create squares by placing different numbers of tangram pieces together. Discusses why the combination of six tangram pieces can not create a square. Presents diagrams of the tangram pieces and the squares made. (YP)

Illustrated are three proofs of the Pythagorean theorem. Information for instruction is provided. (YP)

Discusses how various children's books can be used to introduce and explain geometric topics through a problem-solving approach. Selected are five books with words and five books without words. (YP)

Reviews three computer software packages: "Mystery Objects," a science inquiry series for grades one-four; "Physics," covering physics content for high school and introductory college level; and a tutorial program "Sensei Geometry." Required hardware, price, and addresses for each software package are listed. (YP)