Described is a theorem which is generally not present in most high school geometry textbooks. Presented are two proofs and two cases which illustrate the use of the SSA theorem. (CW)

Steiner's Porism states that if you can draw a connected ring of circles in the annular region between two original circles, the ring will be successfully completed no matter where you start. This paper explores how the TI-92 graphing calculator can be used to demonstrate Steiner's Porism and illustrate the main points of its proof. Inversion in…

This paper introduces a teaching unit on using spiral symmetry in a geometry course for secondary education majors. The TI-92 graphing calculator is used to exploit the exponential function to analyze the geometric topic of similarity and to study the derivative of spirals. The paper provides some procedures and programs to generate spirals using…

Described are four hour-long sessions of children working with the definition and use of a procedure for triangles in Logo programming. The conclusion is that turtle geometry is not a trivial activity. (MNS)

Four papers are presented which view research in mathematics education from different perspectives. The titles are: (1) Review of Recent Research Related to the Concepts of Fractions and of Ratio; (2) Some Trends in Research and the Acquisition and Use of Space and Geometry Concepts; (3) A Portrayal of Traditional Teachers of Mathematics in…

This is the fifth volume in a series designed to improve mathematics instruction by providing resource materials for those responsible for mathematics teaching. Focused on geometry in schools, it presents a panorama of current practices around the world and suggests future trends. The 14 chapters consider: "Developments in Geometry Teaching in…

Presents techniques for developing spatial visualization while dealing with concepts of area, proportion, and symmetry. Provides the objectives, directions, extensions, answers, and worksheets for each of the four activities. Describes involving parents. (YP)

This guide is designed to be another segment of the total educational program established by state administration and mandated by the Louisiana Legislature in both the accountability and assessment and the competency-based education laws. This document outlines a course of instruction based on thirty weeks of school, which provides six weeks of…