Presented is a four-part program for teaching geometric concepts related to the shape of a football. The program includes activities in which students examine footballs, construct a football using isometric paper, examine the "football" versus a regular icosahedron, and investigate planes of geometry. (JN)

This article reports on a study aiming to design learning systems in which students' knowledge of reflection is brought closer to institutional knowledge of this isometry and to compare how their activities shape and are shaped by different forms of mediation. It presents descriptions of interactions of groups of students (aged 12-13 years) with…

In this paper, we explore the role of polygonal shapes as geometrical models in teaching mathematics, so as to elicit and interpret children's geometric conceptions and understanding about shapes. Primary pupils were asked to draw a stairway of figures (triangles, squares and rectangles) each one bigger than the preceding one. Pupils use two…

This book presents motivational ways to teach key concepts and topics common to all secondary mathematics curricula. It is arranged by subject matter which includes algebra, geometry, trigonometry, probability, statistics, and miscellaneous topics. The objective to be attained by implementing the unit on each of these subjects is stated, and the…

Discussed are several possible methods of teaching a geometry lesson on angles and arcs. (CT)

A discussion of intuition, doubt, and surprise in mathematics arising from a problem involving rational points and lines. (RS)

The process of investigating some of the properties of diagonals and other geometric concepts with a group of 11-year-old girls is presented. Possible changes that could have been made in the lesson are discussed, and examples of individual student work are provided. (MP)

Topics discussed include: maximizing the volume of a box, finding different size squares on a geoboard, the angles formed by the hands of a clock, and questions related to three consecutive integers. (MP)

Topics discussed are: triangular numbers; three proofs of the surface area of a sphere; reverse notation; highest common factors; square roots from a graph; and clock geometry. (MP)

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…

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)