The mathematical curriculum of the next millennium should harness children's motivation without losing their mathematics. Envisages that the computer might offer just the context to help do this. Presents snapshots from two case studies. (Contains 18 references.) (ASK)

The Interactive Mathematics Program is part of a National Science Foundation effort to design a comprehensive, standards-based high school mathematics curriculum. IMP's four-year program, which replaces the traditional sequence, involves little memorization, integrates traditional material with topics such as probability and statistics, and uses…

Identifies specific functions that reading, in combination with writing and talking, can serve in mathematical inquiries and contribute to a better understanding of how inquiry experiences can be planned and supported in secondary mathematics classrooms. Analysis of data led to identification of 30 functions of reading that are specific to…

Reports what real life contexts meant while teaching Year 11 Geometry and Trigonometry. Presents problems to support the teaching of a topic on vectors in three-dimensional space. Takes a critical look at five of the problems in view of students' responses to them. (ASK)

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 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…