Suggests several approaches that allow students to explore the implications of Varignon's parallelogram theorem. (KHR)

Describes how students connect culture and mathematics by using tessellating and symmetrical patterns in the designs of architecture, pottery, blankets, and baskets as models to create geometric designs for a quilt. (Author/YDS)

Highlights the history of Archimedes's measurement of volume. Includes a worksheet with related activities exploring the concept of volume. (YDS)

Explains using different historical methods to create magic squares. (Contains 10 references.) (YDS)

Explains the Geometric Standard of the "Principles and Standards for School Mathematics" (NCTM, 2000) which emphasizes the usefulness of geometric ideas in representing and solving problems across the mathematics curriculum. Discusses this Standard and illustrates it with classroom examples. (Contains 45 references.) (YDS)

Describes how mathematical understanding grows and develops while children play with the mathematical ideas they see emerging as they hear and talk about the story "Selina and the Bear Paw Quilt". (Author/NB)

Presents the Perfect-Square Geometry Partners problem to teach students about patterns. (Author/NB)

Shows how the phenomenon of instability in the solution of a system of linear equations can be analyzed both algebraically and geometrically. (KHR)

Focuses on the role of tools provided by a computer microworld (C.AR.ME) on the strategies developed by 14-year-old students for the area measurement of a non-convex polygon. Interprets and classifies student strategies on a transformation and comparison task into categories in terms of the tools used for their development. (Author/MM)

Reports on a study in which three 3rd grade students were presented with the volume of cuboids. Examines the problem solving actions students demonstrate and analyzes students' strategies and solutions. Explores the connection between spatial structuring and the use of numerical operation. Considers perseverance and control emerging when solving…

Teachers' negative impressions of college mathematics correlate with negative feelings about teaching mathematics. Includes an inventory of 20 questions to determine whether teachers perceive flexibility as a factor that can facilitate the effective teaching of mathematics. (MLF)

Findings from an investigation into the effectiveness of an explicit training model on low socioeconomic (SES) four- and five-year-old's (N=26) ability to solve geometric analogy problems suggest that higher level cognitive skills of low SES preschoolers can be enhanced through instruction. (IAH)

Geometric and algebraic solutions to problems involving reflections of balls on a pool table are presented. The question of whether the ball must eventually enter a pocket is explored. A determination of the number of reflections is discussed. (CW)

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)

Discussed are two Euclidean constructions (synthetic approach and coordinate method) to inscribe regular polygons of 5 and 17 sides in a circle. Each step of the constructions is described using diagrams and mathematical expressions. (YP)