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)

The main thesis of the paper is that geometry deals with mental entities (the so-called geometrical figures) which possess simultaneously conceptual and figural characters. The paper analyzes the internal tensions which may arise in figural concepts because of their double nature, developmental aspects, and didactical implications. (Author/MDH)

Discusses the vital place of proofs in geometry classes. Argues that, although inductive geometry with computer software certainly makes theorems come alive, proofs lead to insight and understanding that allow students to extend the concepts that they see in examples. Presents a theorem, its proof, and a computer exercise. (ASK)

Presents an overview of the geometry findings of the Third International Mathematics and Science Study (TIMSS) and ways to use problems from the study to assess students' understanding of geometry. (ASK)

U.S. mathematics education has been criticized for being too broad. This article examines ways middle school students use simple problems and situations to foster a deeper understanding of underlying concepts. Presents a sample area and perimeter problem, describes extending the problem using tiles to determine minimum perimeter, and discusses…

Reports that students entering an urban state college still had high remedial placement rates even though they successfully completed college preparatory math and English courses in high school. Discusses the "chain of blame" and concerns regarding the rigor of high school programs. (Contains 45 references.) (AUTH/NB)

This survey sought to identify variables related to teacher use of technology in secondary level geometry classrooms in southeastern Idaho. The primary variables examined in the study were teacher technology awareness, teacher attitude toward technology, teacher technology training, and teacher computer use for instruction. This study also tested…