Technological tools have the potential to offer students the possibility to represent information and relationships embedded in problems and concepts in ways that involve numerical, algebraic, geometric, and visual approaches. In this paper, the authors present and discuss an example in which an initial representation of a mathematical object…

Describes the process of modifying a program that focuses on computer-directed instruction in a developmental algebra course that was not producing the positive results expected. Emphasizes integrating classroom instruction along with a laboratory, either a computer or classroom laboratory. (Author/KHR)

Presented is the change-point estimation which is a variation on point estimation for a two-sample problem. This variation relies on the elementary properties of the expected value and variance operators, is intuitive and is easily accessible for introductory statistics courses. Data for this exercise may be produced by a BASIC program which is…

Described is an approach to the derivation of numerical integration formulas. Students develop their own formulas using polynomial interpolation and determine error estimates. The Newton-Cotes formulas and error analysis are reviewed. (KR)

Illustrated is the use of computer algebra software to assist in both a computational and theoretical way to develop the underlying theory of polynomials and the partial fraction decomposition of a rational function. Background information and a discussion of theoretical considerations are provided. (KR)

The Optimizer in Quattro Pro and the Solver in Excel software programs make solving linear and nonlinear optimization problems feasible for business mathematics students. Proposes ways in which the Optimizer or Solver can be coaxed into solving systems of linear equations. (ASK)

Discusses the teaching of linear algebra with and without computer software. Considers class format with regard to computer usage, the effect of holding classes in the computer laboratory, homework, computer projects, and student responses. Appendices contain topic tutorials and sample computer projects. (DDR)

Discussed is the use, importance, and availability of programmed algebraic manipulation packages. The general power summation formula is presented and an example using a programed numerical verification package is provided. (KR)

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…