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)

Includes discussions of right triangles having integral sides and integral circumradii, the role of axioms, tessellating hexagons, and descriptions of ideal teachers by 12 year olds. (RS)

A description of visual aids which are useful in discussing rotations of geometric figures is presented. (FL)

Presents procedures, findings, conclusions and recommendations of a survey conducted in 1968 to determine the status of geometric content in the mathematics curriculum of 156 middle schools located in the geographical area of the North Central Association of Colleges and Secondary Schools. Data pertaining to the mathematics textbooks and…

This article, written in French, describes part of the research conducted in a French research institute concerning plane Euclidean geometry. Fifty secondary school students were given a problem concerning points of intersection of a rectangle and two circles. Typical trains of thought during problem solutions are discussed. (MNS)

Provides insight into technique for developing 3-dimensional computer graphics for use in artistic expression, design of functional objects, and the development of frame-by-frame computer animated films. Objects defined by intersecting spheres, hardware, software, examples, and illustrations are included. Twenty-four references are cited. (EJS)

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)

Details of the investigation of a device that produces unusual transformations in the plane are provided, along with the directions several students took in their studies. (MP)

A new approach to classifying quadrilaterals is presented that tries to classify all possible combinations of shapes and angles by removing the traditional Euclidean viewpoints. The document concludes with a brief look at other types of polygons. (MP)