Explores the subject of fractal geometry focusing on the occurrence of fractal-like shapes in the natural world. Topics include iterated functions, chaos theory, the Lorenz attractor, logistic maps, the Mandelbrot set, and mini-Mandelbrot sets. Provides appropriate computer algorithms, as well as further sources of information. (JJK)

A hungry worm is looking for something to eat according to very specific rules, and the path he takes is a graph. The problem is detailed in Applesoft BASIC using low resolution graphics for worms that turn 90 degrees and high resolution for worms that can turn 45 degrees. (MP)

A program developed by a high school freshman is presented that plots unusual graphs on the screen of a TRS-80 computer. The view promoted is that teachers of advanced mathematics should not be surprised if new ways of looking at the subject come from students interacting with computers. (MP)

These manuals provide self-teaching and individualized instruction activities to assist students in learning BASIC programming. Originally planned as a mathematics enrichment program for academically gifted children, three series of instructional workbooks and supplementary projects for seven microcomputers are now included to accommodate…

Describes learning activities in which fifth and sixth graders used spreadsheets to explore the shapes of numbers. Discusses creating spatial patterns with a computer draw program; examining number patterns in a spreadsheet; comparing square and rectangular numbers; and creating the multiplication times table. (AEF)

This is a collection of Pascal programs that were developed for a 1986 National Science Foundation-sponsored high school teachers' summer workshop. The programs can be used as a means of extending or enriching textbook material in either high school mathematics or Pascal courses. Some suggested uses are: (1) teacher demonstrations in mathematics…

Computer graphing makes it easier for students and teachers to create and manipulate graphs. Scale issues are nearly unavoidable in the computer context. In interviews and protocol analysis with six students from grade 8, and 12 students from grades 11 and 12, it became apparent that some aspects of scale are clearly understood very early while…

Illustrated is the use of computer- or calculator-based graphing to deepen students' understanding about solutions to inequalities. Two examples which use a zoom-in procedure are provided. (YP)

Describes how three dimensional LOGO was used in a workshop session for secondary pupils and mathematics teachers. Provides many commands and output drawings. (YP)

An algebra class activity of creating computer graphics by connecting a series of ordered number pairs with subsequent investigations involving the transformations of the functional relationship between the elements of those ordered pairs is presented. (JJK)

A total of 59 papers are compiled into these proceedings. The papers are organized alphabetically by each author's last name. A directory of speakers' names and addresses is included. In the index of this publication, papers are listed by session. General sessions are listed first, followed by 21 regular sessions: (1) "Logo and Music";…

Demonstrates the use of graphing technology to help students develop and interpret three models of jury behavior and explore the potential effect of such actions as changing jury size. MathCAD, an electronic notebook was used. (Contains 10 references.) (MKR)

Presents an example using a computer to illustrate concepts graphically in an introductory course on differential equations. Discusses the algorithms of the computer program displaying the solutions to an equation and the inclination field of the equation. (YP)

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…

This book demonstrates, for teachers at all levels, applications of technology tools for the effective learning and teaching of mathematical skills and concepts as suggested by the National Council of Teachers of Mathematics (NCTM). It focuses on the use of general-purpose computer tools in the mathematics classroom, with an emphasis on problem…