Examines research relevant to the debate about the relative emphasis that formal proof should play in high school geometry. Discussion includes establishing truth in geometry, research in students' learning of proof, developing the notion of proof, alternatives to axiomatic approaches, computer construction programs, and classroom recommendations.…

Examines how ancient Chinese mathematicians attempted to correct an error concerning the volume of a sphere in the Nine Chapters on the Mathematical Art, a compendium of the mathematics known and used in China in ancient times. (MKR)

Introduces a strategy for writing equations of graphs to help students and teachers build strong conceptual connections between the symbolic representations of algebra and the spatial representations of geometry. (Author/MKR)

A series of spatial tasks involving conceptualization and manipulation of unfamiliar plane shapes administered to (n=20) children aged 4 to 12 revealed that both initial perception of a shape and approach to task solution strongly influenced children's success at shape recognition. (20 references) (Author/MKR)

Presents sample activities and tasks conducive to developing spatial sense. (12 references) (MKR)

Describes some student explorations of angle rotations and of reasonable and unreasonable conjectures using the Geometer's Sketchpad. (MKR)

Introduces, describes, and discusses the computer software, Cabri-Gomtre, an interactive microcomputer notebook for the teaching and learning of geometry. (JJK)

Discusses partitioning and hierarchical types of classification, a theoretical analysis of the role and function of hierarchical classification in mathematics, and the teaching of a hierarchical classification of quadrilaterals. (Contains 21 references.) (MKR)

Biology and geometry students join forces to investigate a real world problem, recycling and landfill management. (ZWH)

Describes hands-on class activities in which high school geometry students can create nested Platonic solids from posterboard. Includes discussion of the algebraic and pictorial relationships between pairs of Platonic polyhedra. (MKR)

Recounts a sequence of activities that occurred in a senior high school geometry class and helped students to engage in creative reasoning. All student suggestions were discussed by the class, and pursuing alternative solutions was not only encouraged but required. (MKR)

Shares detailed episodes of children's work in repeatedly partitioning geometric shapes to highlight the process of recursion, which can lead to a deeper understanding of imagination and beauty in children's mathematics. (MKR)

Described is the derivation of the trigonometric (right-triangle) relationship between the statistical concepts of the mean absolute deviation and the standard deviation. (JJK)

The field of ancient Greek mathematics is discussed in terms of how representative is the surviving corpus of the ancient achievement in mathematics, the patterns of thought by which they were discovered, and the construction of mathematics during this period. The research being done in this field is described. (KR)

Explores many forms of a circle using variations of the distance formula. Metric space is defined and examples of metrics are given, including a "circle" that is a square. Also shown are variations which are not metrics. (MKR)