Describes methods and software for graphing representation of a complex function of a complex variable. Includes an application of a graphical interpretation of the complex zeros of the cubic and their properties. (PK)

Demonstrates the use of technology to enhance the appreciation of applications involving abstract algebra. The symbolic manipulator Maple can perform computations required for a linear cryptosystem. One major benefit of this process is that students can encipher and decipher messages using a linear cryptosystem without becoming confused and…

The role of methods courses to help prospective elementary teachers learn to teach mathematics was investigated. The influence of past experience on preservice teachers, their lack of subject knowledge, and the lack of time set aside for a methods course are discussed. (KR)

Reported is whether and how mathematics has changed during the 75 years of the Mathematical Association of America's (MAA) existence. The progress of mathematics is organized into 9 concepts, 2 explosions, and 11 developments. (KR)

Provides a program listing in True BASIC which constructs several kinds of matrices: (1) matrices with integral entries that have inverses that have integral entries; (2) matrices with integral entries that have inverses that are rational numbers with reasonable denominators; and (3) matrices with integral entries and prescribed integer…

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)

A FORTRAN program is provided for use with computer projects for a course in number theory. Uses diminishing functions and the speed of the computer to quickly determine possible solutions to problems. (MVL)

P-adic or g-adic sets are sets of elements formed by linear combinations of powers of p, a prime number, or g, a counting number, where the coefficients are whole numbers less than p or g. Discusses exercises illustrating basic numerical operations for p-adic and g-adic sets. Provides BASIC computer programs to verify the solutions. (MDH)

This article traces the history of zero and its dual role as a placeholder, albeit of empty space, and as a number for computational purposes. The use of one symbol for both situations is shown to be tied to the adoption, and subsequent promulgation, of our modern numbering system. (JJK)

Described are three activities designed to increase student participation in the classroom. The first uses earthquake reporting to study logarithms. The second discusses student-generated examples to introduce probability. In the third, prepared handouts and study groups are used to promote student interaction and involvement in calculus classes.…

An interdisciplinary course centered on mathematical ideas (involving infinity and geometry) is described. The course was developed by the authors, both mathematicians, as a vehicle for engaging students in learning about mathematical ideas that are rarely found in the general undergraduate curriculum. The course was offered to honors students…

This textbook was designed for a first course in differential and integral calculus, and is directed toward students in engineering, the sciences, mathematics, and computer science. Its major goal is to bring students to a level of technical competence and intuitive understanding of calculus that is adequate for applying the subject to real world…

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 computer instantiations of abstract concepts could assist mathematics education by providing concrete experiences and by inducing the mental process of construction that Piaget called reflexive abstraction. College students with computer experiences scored higher than those taught with traditional methods on a test of functions and…

Discusses the use of computers in calculus classes. Describes activities in four laboratories providing with the problems of the laboratories. (YP)