Use of the computer program "Integrate Using Definition" can help students develop understanding of integral. Several applications of the program are discussed. (MNS)

Discusses personal experiences in using microcomputers to teach differential equations and calculus, including programs written for and activities in a year-long calculus sequence called Calculus and Computers. Suggests that computers and their graphics capabilities be used to provide a mathematical environment in which students can interact and…

A printout is presented from a database that contains information about microcomputer software which supports instruction in college mathematics. The listing is arranged alphabetically by course; source and price are indicated, with a list of publishers included. (MNS)

Descriptions of a program called muMATH and a computer language called muSIMP are given to show what the state of the art is in mathematical programing material for personal computers. The intent is to get college mathematics instructors thinking about what the future portends for their field. (MP)

Advantages and disadvantages of common ways to justify the answer to a probability problem are discussed. One explanation appears superior to the others because it is easy to understand, mathematically rigorous, generalizes to a broader class of problems, and avoids the deficiencies of the other explanations. (MNS)

Describes the minimal use of the personal computer in the mathematics curriculum at three Japanese universities. (11 references) (MKR)

One way in which a computer simulation can convince students of the validity of formulas for the density and distributive functions of the sum of two variables is described. Four computer program listings are included. (MNS)

Some experiences with a classroom computer graphics facility are recounted to show how such a facility has changed the views of some instructors teaching mathematics at the college level. Teachers are encouraged to search out and seize opportunities to acquire graphics hardware, with the added teaching capabilities promoted. (MP)

Mathematical methods are used to study certain related Logo procedures in detail. Simple procedures with known properties are then used to build the higher-level procedures which correspond to higher-level mathematical concepts. Examples are from introductory aspects of number theory. (MNS)

Why a computer error occurred is considered by analyzing the binary system and decimal fractions. How the computer stores numbers is then described. Knowledge of the mathematics behind computer operation is important if one wishes to understand and have confidence in the results of computer calculations. (MNS)

A hypothetical classroom discussion is used to present concepts and problems students can master. Three computer programs are listed for binomial probabilities. (MNS)

Two computer programs are given to provide simulations, for any value of n, to keep count of the frequency of the first significant digit. (MNS)

APL was invented specifically as a mathematical teaching tool, and is an excellent vehicle for teaching mathematical concepts using computers. This article illustrates the use of APL in teaching many different topics in mathematics, including logic, set theory, functions, statistics, linear algebra, and matrices. (MNS)

A method of using microcomputers to teach polar coordinates and graphing is described. Two computer programs plus illustrations are included. (MNS)

Two topics are discussed that can be presented in a discussion of the annual percentage rate (APR): difference equations and fixed-point iteration. A program in BASIC using the iteration procedure is included. (MNS)