Discusses the development of visual thinking in students. Also presents a strategy that incorporates visualization exercises within the framework of traditional mathematics. The technique appears successful for students studying geometry, fractions, and problem solving. Visualization abilities increase understanding and therefore give students…

An application of transformation geometry to special relativity is described. No knowledge of physics is required, but the application uses transformation ideas in a nontrivial way. A comparison is given of reflections in the Euclidean and Minkowski (non-Euclidean) planes. (MNS)

Describes a new theoretical model of the learning process produced by the computer's strict reliance on procedure and its unique methods for managing data. The implications of this model for mathematics learning are illustrated through an experimental paradigm comparing the problem-solving skills of an expert and a novice. (MBR)

We expand the theoretical perspective based on the notions of description and conflict, which was previously used to the learning of functions and calculus, to the learning of deductive geometry supported by Dynamic Geometry (DG) environments. Based on prior studies on functions and on the potential role of a DG software, we analyze a case study…

In this paper, the theory of variation in the tradition of phenomenographic research approach is placed in the context of Dynamic Geometry Environment (DGE). Central concepts of discernment, variation, simultaneity and space of learning in the theory of variation are discussed for simple dragging episodes in DGE to illustrate the potential…

This document contains the proceedings of 1999 annual meeting of the Canadian Mathematics Education Study Group (CMESG). Papers include: (1) "Mathematics Lecture I: The Impact of Technology on the Doing of Mathematics" (Jonathan Borwein); (2) "Mathematics Lecture II: The Decline and Rise of Geometry in 20th Century North America" (Walter…

This document features an activity for estimating the distance from the earth to the moon during a solar eclipse based on calculations performed by the ancient Greek astronomer Hipparchus. Historical, mathematical, and scientific details about the calculation are provided. Internet resources for teachers to obtain more information on the subject…

This book features a set of problems assembled to reflect the criteria of the mathematics portion of the North Carolina High School Comprehensive Test. The problems are not necessarily suited to timed situations but rather are intended for classroom use by teachers to review high school mathematics and build upon concepts and skills developed in…

Geometric enrichment activities used with prospective elementary school teachers were found to not significantly affect attitude toward mathematics or achievement in a geometry course; the only factor which significantly affected student achievement in this study was the instructor. (DT)

Directions are given for activities that introduce students to determining the total surface area of rectangular prisms. A worksheet with 18 problems, plus a puzzle problem, is included. (DT)

Examines and analyzes occurrences of the English prepositions "at, "to, "on, and "in. Concludes that these prepositions are logically connected and their functions and meanings are comprehensible from the psycho-physiological experiences of man in space. (DS)