Presents activities focusing on the use of visual perspectivity. Includes reproducible student worksheets. (MKR)

Presents a lesson plan for building and investigating three- dimensional cubes and a representation of a four-dimensional cube, sometimes called a hypercube. Includes reproducible student worksheets. (MKR)

Presents a method that connects the area formulas for triangles, rectangles, parallelograms, and trapezoids by focusing on the relationships between the bases and heights of each figure. Transformations allow figures to be reconceptualized to establish a general concept of area that can be applied to other figures. (MDH)

Gives an example of an open exploration using trigonometric relationships in which the law of cosines can be deduced from the law of sines. Discusses the characteristics and value of the exploration process. (MDH)

Discussed is a method of approximating the roots of a quadratic that allows the discovery of relationships between parabolas and circles and between the use of geometry and algebra. Included are the procedure and justification of the method. (KR)

This section includes eight problems to which the journal invites readers to respond. Problem topics include angles in alternate segments, pentominoes, a new triangle of numbers, cricket scores, symmetrical pentagons, inequalities, a pythagorean dissection, and magic squares. (MDH)

Describes attempts to instruct 12 children, aged between 10 and 11, during a 12-hour course in LOGO that proper attention should be paid to the external angles through which the turtle rotated. Results suggest that using LOGO to draw closed figures may lead to confusions about angle that are not amenable to conventional intervention techniques…

A study analyzed data from the International Association for the Evaluation of Educational Achievement survey of 13 year olds from 20 countries to examine gender differences in mathematics achievement. Multivariate analysis indicated differences varied from country to country and a significant difference in favor of boys in geometry achievement.…

This literature review examines the contribution of the LOGO programming language toward facilitating elementary school students' learning and in promoting problem-solving skills. Topics addressed include positive and negative effects of LOGO use; LOGO theory and development; transfer of LOGO skills; and support for structured, teacher-mediated…

Describes an exploratory geometry course in which students were challenged to develop their own axiomatic system instead of using a textbook. They developed a Euclidean system and learned to write proofs as a natural consequence of building the system. (13 references) (MKR)

Compared are the van Hiele levels of geometric thinking and the geometry curriculum recommended by the National Council of Teachers of Mathematics Curriculum and Evaluation Standards for School Mathematics. Activities which illustrate the various levels are provided by grade level with procedures. (CW)

A series of activities involving figurate numbers that allow students at various levels to integrate numerical, geometric, arithmetic, patterning, measuring, and problem-solving skills are presented. A discussion of the geometric and numerical aspects of figurate numbers is included. Appended are IBM Logo procedures that will create pentagonal…

An experimental design study compared the effect of periodic use of the "Geometric Supposers" software to nonuse on geometry achievement of two tenth grade classes (n=58). Results suggest that "Geometric Supposers" promotes higher achievement, particularly on Higher Level and Application Problems. No difference on Lower Level…

Described is a two-week summer residential program designed for students who have been identified through one of several middle school talent searches. Discussed are the assumptions and goals, course content and pedagogy, evaluation, and materials of the program. (CW)

Two geometry problems generated from a design problem involving a shuttle return mechanism in a weaving machine are presented. The solutions to these problems are detailed. (CW)