Presents a qualitative and global method of graphing functions that involves transformations of the graph of a known function in the cartesian coordinate system referred to as graphic operators. Explains how the method has been taught to students and some comments about the results obtained. (MDH)

Another way to divide a line segment discovered by Nathan Besteman is described along with Euclid's and the GLaD construction. The related projects and problems that teachers of geometry can assign to their students are also presented.

The first introduction to molecular geometry should be through the simple and easily understood VSEPR model, as the Valence Bond Theory and MO Theory suffer from limitations as far as understanding molecular geometry is concerned. The VSEPR model gives a perfectly satisfactory description of the bonding that follows directly from the Lewis model…

A good mathematics instructor is a proficient organizer of pupils for instruction in mathematics. There are many specifics involved in organizing for instruction. This paper discusses organizational structures in mathematics instruction such as learning stations. "A Geometry Center" is provided as an example of a learning station. The organization…

A dynamic program for geometry called Cabri Geometry II is used to examine properties of figures like triangles and make connections with other mathematical ideas like ellipse. The technology tip includes directions for creating such a problem with technology and suggestions for exploring it.

In this article, the authors talk about transformation geometry being treated as little more than a set of tricks rather than as a mathematically rigorous topic. This appears to lead to pupils seeing little point in studying "reflections, rotations and translations" as other than examinable items in some future test. Following the argument…

This paper discusses a number of educational concerns suggested by the computational metaphor which proposes the comparison of processes of mind to realizable or imaginable computer activities. Among the concerns discussed are those which include procedural modes of knowledge representation and control knowledge--knowing what to do. Also included…

Excerpts from the April 1950 issue of this journal, focusing on the teaching of geometry, are presented. The concern is its lack of importance in the curriculum. (MNS)

Presents 13 examples in which the intuitive approach to solve the problem is often misleading. Presents analysis of these problems for five different sources of misleading intuitive generators: lack of analysis, unbalanced perception, improper analogy, improper generalization, and misuse of symmetry. (MDH)

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)

Although traditional instructional methods and textbooks mitigate against it, investigation can be a viable alternative strategy in the geometry classroom. Many theorems in geometry, such as Euclidean space, lend themselves easily to student experimentation. (Author/SJL)

Comments on Gregory Trandel's article that explores two teaching strategies using geometry and algebra to demonstrate the equivalence between two methods of measuring excess burden. States that for students with limited mathematics skills, measuring excess burden can be expressed algebraically using a simple formula (excess burden…

In early 2004, Cabrilog released version "II plus" of their interactive geometry package. According to the author, "Cabri Geometry II plus" is clearly a much more useful package than the earlier version. However, unlike other sophisticated applications packages, the designers have avoided creating so many options that secondary students lose their…

Relates one secondary geometry teacher's experiences learning and using the computer program "Geometer's Sketchpad." The article describes the program and provides examples of ways this teacher uses it in combination with more traditional teaching tools. (SM)

These papers presented at a symposium describe how tenth grade students would be taught the slope of a line in geometry using three different approaches to teaching theory: behaviorism, Piagetian cognitive development, and information processing. Analyses of each approach focus on manner of learner cooperation and differing teacher role. (MBR)