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)

Geometric interpretations and derivations of the six trigonometric relationships are demonstrated. Selected for discussion are limiting values, geometric verification of trigonometric identities, a one-dimensional illustration of the Pythagorean relationships, and the geometric derivation of infinite-series relationships. (DE)

Discusses educational materials on the World Wide Web related to mathematics and science education. Also provides some resources. (ASK)

Examines the nature of prior mathematical knowledge that facilitates the construction of useful problem representations in the domain of geometry. Indicates that high achievers build schemas that are qualitatively more sophisticated than low achievers, which in turn helps them construct representations that are conducive to understanding the…

Presents a medley of proofs and topics related to the Pythagorean Theorem. Provides a resource for teachers and students in high school and undergraduate liberal arts education as well as a starting point for in-class research projects in geometry and the history of mathematics. Contains 20 references. (Author/ASK)