Identifies a number of algebraic constructs that emerge from conducting investigations in a Logo environment. Details the intellectual struggle of a number of students as they interact with the environment. Reports on the development of a series of comparative case studies with seven students enrolled in an online talent education development…

Students can form beautiful curves through a kinesthetic experience by using a dynamic geometry program. The examples included are parabolas, pursuit curves, spirals, and more. (MM)

This study compared the spatial-geometrical abilities of 85 students (ages 5-13) with learning disabilities (LD) and 94 children without LD, matched for IQ and age. Generally, students with LD did not perform as well as same-aged students without LD, suggesting that LD students experience delayed development in this general spatial-cognitive…

Examines the relationship between problem-solving performance and the quality of the organization of students' knowledge. Reports on findings on the extent to which content and connectedness indicators differentiated between groups of high-achieving and low-achieving Year 10 students undertaking geometry tasks. (Contains 29 references.)…

Presents responses to a question that appeared in the February 1999 Problem Solvers section of this journal about using four isosceles triangles to make different figures. (ASK)

Illustrates attempts by three students to construct an isosceles triangle in Cabri and the construction of a capital A by a fourth student. Discusses Cabri's potential for encouraging students to focus on geometric properties and develop correct geometric language. (ASK)

Presents an activity in which students use their skills as creative thinkers and writers and combine them with their knowledge of geometry to create their own class Book of Creative Geometry. (ASK)

Describes a geometry course that attempts to prepare prospective mathematics teachers to meet the goals described in the Standards. (ASK)

Presents an analytic framework to describe and analyze students' answers to proof problems. Employs the framework to investigate ways in which dynamic geometry software can be used to improve students' understanding of the nature of mathematical proof and improve their proof skills. (Author/MM)

What features of mathematical thinking do students exhibit when they use dynamic software in their problem solving approaches? To what extent does the systematic use of technology favour students' development of problem solving competences? What type of reasoning do students develop as a result of using a particular tool? This study documents…

This paper describes a study of the cognitive complexity of young students, in the pre-formal stage, experiencing the dragging tool. Our goal was to study how various conditions of geometric knowledge and various mental models of dragging interact and influence the learning of central concepts of quadrilaterals. We present three situations that…

This article describes the following phenomenon: Gifted high school students trained in solving Olympiad-style mathematics problems experienced conflict between their conceptions of "effectiveness" and "elegance" (the EEC). This phenomenon was observed while analyzing clinical task-based interviews that were conducted with three members of the…

This article features the Agam program, developed by Yaacov Agam and education researchers, who worked with him to further develop and test the program that teaches visual literacy. Visual literacy is the study of shapes and how they combine to make everything from alphabetic letters to great art. Although the Agam program is long and involved,…

This author relates how she used to hate bugs but a museum visit changed her perception about them. She realized that in her panic of shooing insects away, she failed to recognize them as living models of the elements and principles of design. It made her realize that insects can provide an opportunity to teach this important lesson to her seventh…

Should one be more confident when predicting the whole (or an event based on a larger sample) from the part (or an event based on a smaller sample) than when predicting the reverse? The relevant literature on judgment under uncertainty argues that such predictions are symmetrical but that, as an empirical matter, people often fail to appreciate…