In the modern era where technology usage is a tradition of the generation, integrating the teaching and learning with mediums that could catch up and satisfy pupils' interest is noteworthy. In line with this, the contributions of GeoGebra in the teaching-learning of mathematics: as a tool to foster students' interest and achievement, and as an…

Archimedes' method for estimating the value of pi is developed and compared with the Gregory-Machin infinite series method. Programs for the TI-81 calculator for finding the upper and lower bounds using the classical method and estimating pi using infinite series are provided.(Author/MKR)

Presents a problem and a line of reasoning inspired by working in dynamic geometry environments and allowing students to make a geometric construction on the computer and then manipulate the construction by dragging points, lines, and segments. (MKR)

Discusses several dynamic geometry constructions with rectangles. Advocates use of software like Geometer's Sketchpad and Cabri Geometry for fostering fresh insight into traditional geometric theorems. Illustrates problem-solving methods not possible with pencil and paper. (MTE)

The question "What shape will have the largest area for a given perimeter?" identifies an important relationship between area and perimeter that has long been intuitively realized in many cultures. Historically, numerous cultures have made use of this relationship between area and perimeter when struggling to build dwellings with shapes…

Relates one secondary geometry teacher's experiences learning and using the computer program "Geometer's Sketchpad." The article describes the program and provides examples of ways this teacher uses it in combination with more traditional teaching tools. (SM)

This paper discusses the requirements of Interactive Geometry Systems (IGSs) and how they can be fulfilled, explains how a geometry tool can benefit from the Internet, and presents Cinderella's Cafe. Cinderella's Cafe is a new IGS with a high mathematical background that uses the most general mathematical models whenever possible, is highly…

Describes pseudoprimitives, a set of special procedures which allow traditional geometric topics to be used within the context of LOGO. Explains how these procedures can be extended and used in junior and senior high school geometry. (PK)

The purpose of this project is to help teachers of mathematics use the computer to aid the teaching and learning of many mathematical concepts in a meaningful way. To this end, commercially available software packages are described which are versatile, cost effective, and easy to use. A review and several lessons, each including homework…

A software tool called 3D-LAB has been developed for learning and teaching three-dimensional geometry. With this microworld, educators and students can display three dimensional solid objects, rotate them, modify them, open them up, draw points and segments, and measure lengths, areas, volumes, and angles. The major characteristics of this tool…

Geometer's Sketchpad is an interactive geometry software package used to help students learn geometry principles. Use of Sketchpad in a secondary education math course at the State University of New York (SUNY) at Oswego has allowed geometry to be taught in a dynamic manner. The paper provides three examples of how Sketchpad is used. Traditional…

Provides a brief description, rationale for selection, and recommendations for use of: "The Geometric Supposer"; "Graphing Equations"; "Electronic Spreadsheet"; "LOGO"; "muMATH"; "The King's Rule"; "Algebra Series"; and "Golf Classic." Lists contents, costs, and…

Discusses conceptual difficulties in the field of geometrical optics and describes RAY, a microcomputer-based graphic interface that was designed to serve as a teaching aid and as a learning environment. The ability to combine theory and formal representations with real demonstrations and experiments is discussed. (Contains seven references.) (LRW)

Describes the Plane Geometry System computer software developed at the Educational Computer Systems laboratory in Sofia, Bulgaria. The system enables students to use the concept of "algorithm" to correspond to the process of "deductive proof" in the development of plane geometry. Provides an example of the software's capability…

Two studies to determine how students interact with two microworlds that reflect a constructivist view of learning investigated students' goals during interaction, strategies utilized to achieve their goals, changes in goals during interaction, and common patterns of interaction and learning. Concludes that well-designed games enable students to…