Presents three sets of polygons marked so that visually appealing designs emerge when the polygons are assembled into tessellations that cover the plane. Provides ideas for using the different sets of tiles in the classroom and reactions of the students who assembled the patterns. (AIM)

Describes activities in which students perform experiments with physical models that they create. Students develop geometric intuition and build a concrete foundation upon which abstract principles can be built. (DDR)

Describes a teacher's use of computer software to teach geometry, specifically two cases related to angles and lines in circles. Explains instructional strategies that can be employed to support student problem solving, communication, reasoning, and connection building. (DDR)

Based on research on the geometric understanding of regular and gifted middle school students, this article describes a procedure for assessing geometry readiness in mathematically able middle school students. The procedure utilizes the vanHiele model of stages of geometric understanding and distinguishes between readiness for algebra and…

This study evaluated effects of manipulative instruction on perimeter and area problem-solving performance of three middle or high school students with learning disabilities in mathematics. Students rapidly acquired the problem solving skills, maintained these skills over a two-month period, and transferred the skills to a paper-and-pencil problem…

Focuses on two types of symmetry, rotation and reflection, their underlying structure as a mathematical group, and their presence in the designs of diverse cultures. Illustrates patterns created by applying these symmetry operations that offer students a visual image which forms the axiomatic basis of algebra. (KHR)

Discussed are various models proposed for the Moebius strip. Included are a discussion of a smooth flat model and two smooth flat algebraic models, some results concerning the shortest Moebius strip, the Moebius strip of least elastic energy, and some observations on real-world Moebius strips. (KR)

Properties of information most likely to attract student attention and how students use information they generate are clarified. Students' expectations of empirical information in geometry and the design of a new version of the Geometric Supposer are discussed. (CW)

Provides an alternative analysis of the reliability associated with the van Hiele Geometry Test based on the assumption that the norm-referenced reliability coefficients provided by the developers were inappropriate. Discusses the agreement coefficient and the kappa coefficient. (YP)

Presents techniques for developing spatial visualization while dealing with concepts of area, proportion, and symmetry. Provides the objectives, directions, extensions, answers, and worksheets for each of the four activities. Describes involving parents. (YP)

A long-term instructional experiment involving 45 third graders learning LOGO demonstrated that LOGO fulfills some of its early promise when used in carefully crafted educational contexts. There was little evidence of boosting general problem-solving skills as a result of learning programing, but learning geometry appeared enhanced. (SLD)

This article discusses two of the reasons for the decline of formal Euclidean geometry in recent syllabi: (1) Traditional approach; and (2) Inherent difficulties. Suggested are some reasons and examples as to why the decline should be reversed. (YP)

Because most schools do not have courses in formal logic, teachers must teach this topic as it comes up naturally through class discussions in algebra, geometry, or general mathematics. This article shows how teachers can capitalize on students' ways of thinking to lead them to a greater understanding of logical relationships. (PK)

Presents a geometry game which offers K-2 students a way to learn geometric concepts and skills as part of a small-group or cooperative-learning activity or in a learning center. (MKR)

Discusses the use of children's literature to combine social studies and mathematics to study patchwork quilts. (MKR)