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)

Presents an application of the software tool DERIVE in the exploration and visualization of a relationship between logarithmic and exponential functions. (Author/MKR)

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…

Discusses the use of software created for practical, real-world applications to connect mathematics to other subjects and to the world outside the classroom. Software presented includes Design Your Own Home, Bridgebuilder, Physics Explorer, Aldus Superpaint, and Sprout. (MKR)

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)

Promotes the use of the microcomputer in mathematics instruction, reviewing approaches to teaching nonlinear equations. Examples of computer diagrams are illustrated and compared to textbook samples. An example of a problem-solving program is included. (ML)

Pretests measuring problem-solving ability were administered to 71 students in a high school mathematics class. One group was given computer-augmented instruction; the other group was given instruction augmented by mathematics laboratory activities. Posttest results for problem-solving ability were mixed, but the group receiving computer-augmented…

Provides an overview of five earth and space science CD-ROMs and their potential contribution to learning mathematics and science. The software are "Welcome to the Planets"; "GeoMedia 2, Interactive Multimedia CD-ROM on Global Environmental Change"; "Mars Educational Multimedia"; "Redshift Multimedia Astronomy"; and "Expert Astronomer."…

Argues that students should have dynamic perceptual experience with the concepts central to circular functions. Includes a computer program, designed for Apple II, to provide such experience. (PK)

Describes a study at a secondary school in Glasgow (Scotland) in which teacher-pupil and pupil-pupil pairs of users collaboratively used eight commercial educational software programs, four related to mathematics and four to English language teaching, to determine whether software style affects patterns of interactions. (23 references) (LRW)

Describes and analyzes a study of the influence of computers on pupils ages 12-14 in Spain. Four fields of action are defined: (1) research; (2) teacher training; (3) student and teacher activities; and (4) the development of teaching materials. An example of the curricular development of units for mathematics is included. (Contains 21…

This article first explains a "number trick" using algebra and then extends the ideas by use of a computer program. (PK)

Discusses computer methods for finding roots of polynomials. The program provided finds rational roots and prints the roots as rational numbers. (PK)