Integrates different geometries and blends several topics that have important applications in both higher mathematics and other disciplines. Aims to make these topics more attractive and understandable to high school students in a way that reinforces logical thinking with visual understanding obtained through computer usage. Contains 28…

Outlines a geometry task that uses computers to transform some quadrilaterals into other quadrilaterals. (ASK)

The computer can be used as a tool to represent and communicate geometric knowledge. With the appropriate software, a geometric diagram can be manipulated through a series of animation that offers more than one particular snapshot as shown in a traditional mathematical text. Geometric constructions with the computer enable the learner to see and…

Discusses a method that uses spreadsheets to calculate the exact distribution of the sum of two or more discrete random variables with arbitrary distributions. Demonstrates how this method can be used to investigate several problems that would be found interesting at the elementary level. (Author/ASK)

Discusses the use of the Excel computer program to develop and distribute simple models that provide a clear visual representation of a chosen probability distribution's properties to students. (ASK)

This book seeks to develop, enhance, and expand students' understanding of mathematics by using technology. Topics covered include the advantages of spreadsheets along with the opportunity to explore the 'what if?' type of questions encountered in the problem-solving process, enhancing the user's insight into the development and use of algorithms,…

Describes a spreadsheet model for approximating square roots then extends that model into the intriguing domain of chaos. Focuses on the use of a dynamic model to promote habits of mathematical reasoning, conjecturing, and graphing analysis that support mathematics learning across grade levels. (ASK)

Identifies characteristics of mathematically rich, equitable game software for middle school students. Introduces and compares two games called Math Blaster and Logical Journey of the Zoombinis. Contains 15 references. (ASK)

States that thinking about numerical procedures starts in the elementary grades and continues in successive grades until students can eventually express and reflect on the procedures using algebraic symbolism. Outlines how such thinking can progress to algebraic reasoning. Illustrates how computers can be used to promote this progression through…

Extends a counting activity described in the April 1997 issue of "The Mathematics Teacher" entitled, "The Pyramid Question: A Problem Solving Adventure." In this activity, students must find all triangles with positive integral sides and a perimeter of 36. Considers triangles with perimeters other than 36 for this activity and…

Explores some of the principles of and presents several constructions in hyperbolic geometry using script tools created for the Geometer's Sketchpad. (ASK)

Introduces a course using mPowerNet to develop course material by using computers to teach numeracy. Presents the guiding principles of the course, mathematics material, course material, and course guidance. (ASK)

Provides a lesson that focuses on three-dimensional graphing, contours, and topographical maps using computer spreadsheets. (ASK)

Describes one teacher's effort to change the classroom environment in order to create student-directed exploratory learning. Presents a lesson in which students use the computer program Lesson Graph to study the effects of coefficients on linear equations. (ASK)

One of the major goals of mathematics education reform efforts is for students to become more confident in their abilities. This paper suggests that computer conferencing provides a way to change classroom practice so that students can work together in a self-paced manner that builds self-esteem and confidence in mathematics. A pedagogical…