From a geometry course for prospective teacher, several methods for dividing a circle into three parts using only Euclidean geometry are explored.

The current mantra in education is "technology, technology, technology." Many teachers and prospective teachers become frustrated with their lack of knowledge regarding the "appropriate" use of technology in the classroom. Prospective teachers need training in their education to understand how technology can be used "appropriately" in the…

Presented is a method of reorganizing a high school geometry course to integrate coordinate geometry together with Euclidean geometry at an earlier stage in the course, thus enabling students to prove subsequent theorems from either perspective. Several examples contrasting different proofs from both perspectives are provided. (MDH)

A typical form of thinking to approach problem solutions humanly is thinking in analogous structures. Therefore school, especially mathematical lessons should help to form and to develop corresponding heuristic abilities of the pupils. In the contribution, a summary of possibilities of mathematics lessons regarding this shall particularly be…

The booklet presents the minimum material for which students are responsible on the Tenth Year Regents examination of the state of New York. The syllabus is an attempt to integrate plane geometry with arithmetic, algebra and numerical trigonometry brought about by: (1) greater use of fractions and percents in mensuration problems; (2) use of…

The life work of both John Dewey and Lev Vygotsky and the implications for pedagogy that each of the theorist's work has generated is well known in the field of education. However, it is seldom that the theorists' works are juxtaposed for pedagogical considerations for specific subject matter. This is for at least three reasons: first, Dewey, of…

Illustrates the use that can be made of aestheometry'' (the aesthetics of geometry) in stimulating student inquiry and in promoting interdisciplinary study by providing instructions for the construction of an illusion of a floating sphere in a pattern of threads. (AL)

Topics covered are: a game to provide drill with linear equations; the relationship between area and perimeter in a triangle; a new form for factoring polynomials; and a technique for graphing inverse functions. (MP)

Discusses assumptions implicit in any system of measurement. Describes a three-rectangle problem designed to help children explore additivity of areas and relationships between area and shape. Suggests ideas for action research. (FDR)

Investigates the conditions and constraints of the integration of the dynamic geometry software Cabri into the teaching of geometry in primary school classes (10-year-old pupils). Focuses on the way the dialectic between old and new is working during this integration, looking at the types of tasks and techniques proposed in class by teachers.…

Proposes a lesson that integrates the volume of geometric prisms and literature as a way to introduce students to the Cartesian diver. Describes activities constituting the lesson and contexts included in the lesson. (KHR)