Describes the use of infometry, or informational geometry, to meet the challenges of information service businesses. Highlights include theoretical models for cognitive coordination and genetic programming; electronic information packaging; marketing electronic information products, including cost-benefit analyses; and recapitalization, including…

Discusses the use of activities demonstrating connections between algebra and geometry, which helps students gain a conceptual understanding of important calculus ideas and gives a historical appreciation of how mathematics evolves. Uses distance, speed, and time problems as an example. (MKR)

Describes an experiment in network collaboration using the Geometer's Sketchpad to allow students in a computer laboratory to view one another's work. (MKR)

Discusses how students construct mental images that aid estimation skills in the measurement of angles. Reports research identifying four strategies that students use to estimate sizes of angles. Strategies include utilization of the mental images of (1) a protractor; (2) a right angle; (3) a half-turn; and (4) angles of a polygon. (MDH)

Presents a model of rational number using pairs of line segments which can embody ratios of numbers. Actions upon these segments can embody arithmetical operations. Discusses tasks in a computer environment for bringing out diverse algebraic and geometric meanings of rational numbers. (Contains 23 references.) (MKR/Author)

Describes geometry-related activities that explore tessellation patterns and use origami and paper to create three-dimensional figures and pop-up cards. (MKR)

Presented is an activity in which students make models of viruses, which allows them to visualize the shape of these microorganisms. Included are some background on viruses, the biology and geometry of viruses, directions for building viruses, a comparison of cells and viruses, and questions for students. (KR)

Presented is an activity which examines an arithmetic concept from a geometric point of view. Objectives, prerequisite learning, and procedures are discussed. Four worksheets are provided with answers. (CW)

It is worthwhile to develop the concepts and conventions that emerge from the child's culture in the teaching of elementary school mathematics, specifically geometry. The discussion is based on experiences with 7- to 12-year-old Navajo children in studies toward the development of a culturally relevant mathematics curriculum. (SLD)

Subjects forced to process redundant material or split their attention between multiple sources of information may encounter extraneous cognitive load. Results of 4 experiments involving 125 fourth graders in Sydney (Australia) provide evidence for the inadequacy of conventionally formatted instructional materials and emphasize debilitating…

Describes the method that Archimedes utilized to calculate the volumes of spheres and other solids. The method found the volume of a sphere by comparing the mass of parallel slices of a sphere and a cone with that of a cylinder of known mass. (MDH)

A Reuleaux triangle is constructed by drawing an arc connecting each pair of vertices of an equilateral triangle with radius equal to the side of the triangle. Investigates the application of drilling a square hole using a drill bit in the shape of a Reuleaux triangle. (MDH)

Freudenthal was the founder of realistic mathematics education, in which reality serves as a source of applications and learning. Takes a newspaper article about reproducing a Van Gogh painting using plants in a field to exemplify a rich context problem containing elements of all areas of elementary school mathematics. (MDH)

Explores areas of polygons by comparing polygon area to the area of the associated midpoint polygon, formed by joining the midpoints of consecutive sides. Considers triangles, quadrilaterals, pentagons, and regular polygons using paper folding, drawings on graph paper, and plexiglass MIRA constructions. (Contains 12 references.) (MKR)

Reports on the design and trialing of a Hypercard testing procedure known as the Recognition and Testing System (RATS) that will enable mathematics teachers and researchers to generate data relating to domain knowledge representation and its access by focusing on students' knowledge of plane geometry and trigonometry. Contains 11 references.…