Describes a graphical method of approximating roots of complex functions that uses the multicolor display capabilities of microcomputers. Theorems and proofs are presented that illustrate the method, and uses in undergraduate mathematics courses are suggested, including numerical analysis and complex variables. (six references) (LRW)

Several major factors must be considered when developing or assessing tutorial microcomputer software for mathematics instruction. Both learning considerations and curriculum considerations are discussed in some detail. (MNS)

Presents an algorithm to estimate pi by approximating a unit circle with a sequence of inscribed regular polygons. Demonstrates the application of the algorithm with a hand-held calculator and an Apple computer. Provides a program to calculate pi in Pascal programing language. (12 references) (MDH)

Discusses the process of mathematical iteration, its benefits as a problem-solving technique, and how to teach it. Presents a selection of mathematical ideas and problems that can be solved and explored using iteration, along with related BASIC computer programs. (MDH)

Demonstrates how the uniqueness and anonymity of a student's Social Security number can be utilized to create individualized polynomial equations that students can investigate using computers or graphing calculators. Students write reports of their efforts to find and classify all real roots of their equation. (MDH)

Describes study of high school students that was designed to determine the relative effectiveness of color, graphics, and animation in computer assisted learning (CAL) of a mathematical rule. Three CAL modes, in color and in black and white, are compared; pretests and posttests are explained; and further research needs are suggested. (13…

This book contains three major sections. The first section provides 15 lesson plans for the integration of activities involving computer uses in mathematics instruction. Each lesson plan includes grade level, objective, time, materials, important terms, background, suggestions, and activities. The second section provides a list of available math…

Two concepts were taught to mentally retarded and nonretarded third graders (n=88). Both groups learned faster when computer displays continuously converted the concepts either into concept examples or concept nonexamples, compared to procedures where examples were not converted. Mentally retarded students benefited more from the conversion…

Describes a step-by-step procedure that enables teachers to develop lessons that effectively use software or special calculators in the classroom. Problem-solving strategies and questions are determined that correspond to the technology through which students are able to construct their own knowledge. Illustrates the procedure using spreadsheets,…

Explores the concept of extraneous roots in radical equations using an alternative to traditional algebraic methods. Using calculator- or computer-based graphs, accounts for extraneous roots by examining the four possible cases of systems of equations that can produce the solution to the radical equation. (MDH)

This book is organized in three major sections. The first section provides 15 lesson plans for the integration of activities involving computer uses in mathematics instruction. Each lesson plan includes grade level, objective, time, materials, important terms, background, suggestions, and activities. The second section provides a list of available…

Discusses the use of Logo tools, spinners, dice, and coins for creating and understanding probability. Gives procedures for devising a spinner board and other necessary functions for performing the activity. Presents ideas for extending the experiment. (RT)