Describes how the computer algebra system Mathematica can be used to enhance the teaching of the topics of sequences and series. Examines its capabilities to find exact, approximate, and graphically generated approximate solutions to problems from these topics and to understand proofs about sequences. (MDH)

Examples illustrate the use of APL for teaching selected topics from logic, set theory, algebra, number theory, and calculus using the glass box approach. (MP)

Examined student performance in distance computer-based calculus and linear algebra courses offered by Stanford University to pre-college students as part of their Education Program for Gifted youth (EPGY). Puts special emphasis on modeling student performance over time and on capturing long-term trend effects using stochastic and nonlinear…

Reports on a pilot program studying the use of computer software to enhance spatial skills presumed to be related to success in calculus. Addresses the effects of such a program on female and minority students. Results indicated that the combined effects of the computer, drawing and drafting, and gender variables explained 31% of the variance in…

Discusses the use of computer graphics to introduce the concepts of derivative and tangent line using the iteration of functions, especially linear functions. (MKR)

Describes three teaching activities for secondary school mathematics classroom: designing a house; guessing the slope function in a calculus course; and solving the six problems of bisymmetric matrices. (YP)

Examines characteristics of interactive video and microcomputer technology that are useful in the design and development of instructional modules for precalculus, especially for minority groups that have traditionally been underrepresented in math and science. Theoretical design principles are discussed, and examples for use in secondary schools…

Reports 17 recommendations that focus primarily on curriculum in grades 11-13 for students who take a four-year college-preparatory program. Appropriate curricular patterns for students who are intending to pursue careers that depend on mathematics are indicated. (PK)

Discusses the snowflake curve as a way to introduce the topic of sequences and series. Computer programs which produce graphic results are included. (PK)

The benefits of high-level mathematics packages such as Matlab include both a computer algebra system and the ability to provide students with concrete visual examples. This paper discusses how both capabilities of Matlab were used in a multivariate calculus class. Graphical user interfaces which display three-dimensional surfaces, contour plots,…

Discusses solutions to real-world linear particle-motion problems using graphing calculators to simulate the motion and traditional analytic methods of calculus. Applications include (1) changing circular or curvilinear motion into linear motion and (2) linear particle accelerators in physics. (MDH)

Presented are student activities that involve two standard problems from geometry and calculus--the volume of a box and the bank shot on a pool table. Problem solving is emphasized as a method of inquiry and application with descriptions of the results using graphical, numerical, and physical models. (JJK)

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…

One of the areas in which the microcomputer excels is that of the very rapid addition of a sequence of numbers. Many problems in mathematics can be reduced to such an addition. Examples of problems and computer programs are included. (PK)

Argues that the use of computer technologies in secondary schools should change the nature of mathematics education. Urges the rethinking of the uses of traditional paper-and-pencil computations. Suggests some computer applications for elementary algebra and for problem solving in arithmetic and calculus. (TW)