Study of circular transformation and its associated properties is proposed as review and reinforcement of familiar concepts and for developing broader understanding of transformations. Inversion on a circle is discussed in some detail. (MNS)

Describes LOGO, an educational computing language designed at the Massachusetts Institute of Technology for use by young children in developing problem-solving skills. The structure of LOGO, the drawing operations possible using the LOGO "Turtle," LOGO as a learning environment, and the educational philosophy underlying LOGO are…

Properties of the harmonic number triangle are listed, and ways of generating the elements of harmonic triangles are described. (MNS)

Discusses author's adaptation of the computer language Logo as an aid in teaching college preservice education students programming, geometry, arithmetic, and problem solving. A description of how Logo works and an example of how "turtle geometry" can be used to help teach geometry concepts are included. Four references are listed. (EJS)

Geometry should be a frequent and familiar part of the elementary school mathematics curriculum. Exercises to help children master basic terminology and visualize shapes and geometric relationships are described. They range from a "shape bag," which teaches simple identification of figures, to more complex activities involving polyominoes and…

Potential instructional uses of the computer for expanding middle school mathematics programs are described. Content areas which are represented include geometry, number theory, computation, consumer education, and probability. (Author/JN)

Attitudinal and attributional variables relating to the election of mathematics courses by females and males are identified. A small set of variables explaining the variance in female and male mathematical plans was found. These results may help in understanding why larger proportions of males than females elect mathematics. (Author/GK)

A description and evaluation of a detective story approach to the instruction of geometry to third graders is presented. (MP)

Allowing students to use a polystyrene cutter to fashion their own three-dimensional models is suggested as a means of allowing individuals to experience problems and develop ideas related to solid geometry. A list of ideas that can lead to mathematical discovery is provided. (MP)

This section focuses on finding two-dimensional geometric shapes in designs and three-dimensional objects. The material is presented on worksheets designed for duplication for classroom use. (MP)

Reports that a congenitally blind child, as well as sighted but blindfolded children and adults, can determine the appropriate path between two objects after traveling to each of those objects from a third object. Explores relationships of finding to geometric principles underlyinq innate spatial knowledge and inferential ability. (Author/CS)

Geometric matrix problems were presented to 11- and 14-year-olds and adults to investigate latency to solution as a function of number of elements (1-3) and of transformations (0-2) that had to be considered for correct solution. At all ages latencies increased as the number of elements and number of transformations increased. (Author/DB)

Three teaching ideas are discussed: the improvement of ditto reproduction, and exploration of congruent triangles, and an intuitive introduction to the concept of limit. (MP)