Reviews tasks and techniques to help students develop an appropriate instrumental genesis for algebra and functions to prepare for calculus. Focuses on the potential of the calculator to connect enactive representations and theoretical calculus. Discusses strategies to help students experiment with symbolic concepts in calculus. (Contains 32…

Describes the approach taken and materials used for introducing computer symbolic mathematics to undergraduate calculus students. Explains the features of the muMATH software package and reviews the modifications that were made to the program. Includes an exercise on plotting graphs. (ML)

Offers information on a project to improve students' understanding of derivatives. Students use the software package "Cactusplot" which allows them to calculate the slope at various points, and "Graphical Analysis III" software to graph the data and modify the graphs if necessary. (ASK)

Discusses a way to help children retain the desire to understand mathematical ideas and to carry out routine procedures. Describes a method using computers to teach linear equations and calculus. Eight references are listed. (YP)

Illustrates three examples usually delayed until sufficient terminology, concepts, and methods have been developed unless using calculators or computers. The three examples are on exponential growth, triangle construction, and end behavior of certain function. Discusses the advantages of technology-enhanced mathematics teaching. (YP)

Given are instructions for teaching spreadsheet use for problem solving in mathematics. Examples of relevant problems from algebra through calculus are provided. The advantages of using computer spreadsheets in this application are stressed. (CW)

Discusses using the computer to promote versatile learning of higher order concepts in algebra and calculus. Generic organizers, generic difficulties, and differences between mathematical and cognitive approaches are considered. (YP)

Discussed is an application of the computer software package, "Mathematica," to solve typical optimization problems from freshman calculus. An example of the use of this method is provided. (CW)

Mathematics software can be a great aid in understanding difficult mathematics concepts at all levels. This paper presents nine exercises on calculus concepts by using different software used in mathematics education. Each exercise includes instruction on how to use software in order to highlight a specific concept in mathematics. This paper also…

Illustrates how muMATH can be used for manipulating abstract differentiation rules, optimization, implicit differentiation, related rules, and verifying the chain rule. (MVL)

Reviews six research articles involving the use of computers for mathematics instruction: (1) geometry skills; (2) calculus; (3) interactive videodisc in pre-calculus; (4) model for integrating computers in classroom; (5) computerized tutoring in applied algebra; and (6) software for enhancing problem-solving skills. (YP)

Elementary error estimation in the approximation of functions by polynomials as a computational assignment, error-bounding functions and error bounds, and the choice of interpolation points are discussed. Precalculus and computer instruction are used on some of the calculations. (KR)

Notes muMATH is a powerful computer algebra systems assistant for performing symbol manipulation in algebra and calculus. Provides several examples and program listings for calculus tutoring, differentiation drill problems, and integration drill problems. (MVL)

Examines the use of the computer to approximate the value of the definite integral normally calculated by mathematical means. Presents four examples using BASIC programs to approximate single and double integrals by numerical integration and the Monte Carlo method. Programs are provided. (MDH)

Computer Algebra Systems (CAS) are computer systems for the exact solution of problems in symbolic form. The newspaper is designed to serve as a conduit for information and ideas on the use of CAS in education, especially in lower division college and university courses. Articles included are about CAS programs in several colleges, experiences…