Worksheets contain instructions and patterns for use in constructing models of the platonic solids from cardboard and rubber bands. (SD)

Suggests that the cross product of two vectors can be more easily and accurately explained by starting from the perspective of dyadics because then the concept of vector multiplication has a simple geometrical picture that encompasses both the dot and cross products in any number of dimensions in terms of orthogonal unit vector components. (AIM)

This article presents problems to challenge students over and above the standard curriculum problems assigned at a Course I level. Every additional problem in the article can be solved using only the tools provided by Course I. (AIM)

Discusses drawing a Pythagoras diagram in the context of how computer software influences mathematical understanding. Requires different understandings of what the diagram involves in order to be successfully completed in different environments. Suggests that while LOGO is often expected to be easier, a graphic calculator can be less demanding.…

Explores a variety of approaches to solving one geometry problem illustrating the work of teachers, the flow of their ideas, and the diverse areas of mathematics they applied. (KHR)

Provides ways of using geostrips to make different kinds of quadrilaterals. Employs combinations of four different length geostrips and works on classifying all of the quadrilaterals using different combinations of the strips. Discusses impressions for the classroom and presents some examples of class activities using geostrips and dynamic…

Presents some activities for elementary school mathematics classes using a Cabri computer program. (KHR)

Offers a Tangram Teaching Guide that provides a five-step developmental sequence for teaching tangramming to young children. Includes teaching resources and a checklist summarizing the teaching sequence. Asserts that tangram experiences help children develop positive attitudes toward geometry, further their shape identification and classification…

Examines the effects on instruction of an intervention program designed to enhance teachers' knowledge of geometry and their knowledge of research on student cognition in geometry. Findings indicate significant gains in content knowledge and in van Hiele level, and marked changes in what was taught, how it was taught, and the characteristics…

Analyzes the arithmetized geometry from a semantical point of view and compares it with classical synthetic exposition of school geometry. Also analyzes the didactical use of one particular system of arithmetized geometry--namely Pogorelov's system--in the Greek Lyceum. Contains 33 references. (Author/JRH)

Discusses the use of a dynamic geometry software package to improve teaching of graph theory in basic graph sketching and in isomorphic, bipartite, and planar graphs. (JRH)

Argues that proving something begins with an assumption and proceeds logically to a conclusion, thus convincing by offering arguments. Describes some pitfalls involved in proving through examining several case histories. Offers suggestions for teaching the proof process. For example, sometimes an extreme example or counterexample will do more to…

Presents attributes of different types of software including Logo, geometric packages, graphical packages, and spreadsheets, each of which offers different opportunities for learning. Investigates the different ways in which the software allows for performing the given task so as to make the mathematics of the task explicit to users. (KHR)

Focuses on the use of the Internet to deliver resources directly to the secondary school teacher that can be used in the teaching of geometry and which requires a minimum of learning on the teacher's part. Considers the credibility, richness, and value of such resources. (MM)

Presents evidence that there exists much confusion regarding the connection between the algebraic and geometric aspects of slope, scale, and angle. Participants responded to a simple but non-standard task concerning the behavior of slope under a non-homogeneous change of scale. Analysis of the responses reveals two main approaches termed…