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)

Activities designed to help pupils develop spatial abilities with cubes and right angles are presented. Instructions for manufacturing the special three-dimensional objects described are included. (MP)

Defines cases, symmetry, and analysis as the heuristic strategies most commonly employed by a select group of high school students in solving novel mathematics problems. Confirms that the utilization of heuristics appears to be problem-dependent. Describes the procedure, actual problems, results, and recommendations of the study. (SB)

Offers a problem for teachers to try with their students. The problem is presented visually as a row of 15 connected squares and the task is to determine the number of rectangles. The goal is to encourage teachers to reflect on students' work and analyze classroom dialogue. (PVD)

Describes an extended investigation of polygons and polyhedra which was conducted in response to a challenge posed in Focus, a newsletter from the Mathematical Association of America (MAA). Students were challenged to construct a polyhedron with faces that measure more than 13 inches to a side. Outlines the process, including the questions posed…