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)

Demonstrated is the use of BASIC computer programs to simulate a binomial experiment and test a simple statistical hypothesis. The theoretical results are reached with the third programing attempt. All results, as well as computer programs, are included. (JJK)

Seven computer assignments for undergraduate economics students that concentrate on building a foundation for programming higher level mathematical calculations are described. The purpose of each assignment, the computer program for it, and the correct answers are provided. "Introduction to Text Editing" acquaints the student with some…

Microcomputer simulations in evaluation research are useful for (1) improving student understanding of research principles and analytic techniques; (2) investigating problems arising in research implementations; and (3) exploring the accuracy and utility of novel analytic techniques. This article describes these simulation uses for the context of…

Monte Carlo simulation is a computer modeling procedure for mimicking observations on a random variable. A random number generator is used in generating the outcome for the events that are being modeled. The simulation can be used to obtain results that otherwise require extensive testing or complicated computations. This paper describes how Monte…

Describes numerical differentiation and the central difference formula in numerical analysis. Presents three computer programs that approximate the first derivative of a function utilizing the central difference formula. Analyzes conditions under which the approximation formula is exact. (MDH)

This article describes a monte carlo computer simulation of affirmative action employment policies. The counterintuitive results of the model are explained through a thought device involving urns and marbles. States that such model simulations have implications for social policy. (BSR)

Evaluates MUSICSHAPES, a graphic music construction software program which manipulates sound in terms of pitch, rhythm, timbre, and sequence to help students create complex synthesizer compositions. Intended for ages eight to adult, the program utilizes Apple II computers and additional hardware. Discusses how MUSICSHAPES can be used effectively…

Describes the use of simulation to introduce the bootstrapping technique of creating confidence intervals for the mean, median, and variance. These bootstrap confidence intervals are compared to the traditional confidence intervals for the purpose of analyzing accuracy of the technique. A Minitab program to produce confidence intervals is…

Presented is a way to provide students with a review and an appreciation of the versatility of pointers in data structures by improvising with binary trees. Examples are described using the Pascal programing language. (KR)

This document combines a students' manual and a manual for teachers. The students' manual is a self-teaching guided discovery manual for junior high, high school, and college students that provides self-paced explorations into recursion. It includes a disk with lessons that are to be used with the written material. There are eight lessons…

Lists a BASIC program which computes the equilibrium constant as a function of temperature. Suggests use by undergraduates taking a one-year calculus-based physical chemistry course. Notes the program provides for up to four species, typically two reactants and two products. (MVL)

This article, which is organized around a single, well-known algorithm for root extraction, presents a way of incorporating dynamical systems into the teaching of mathematics. Included are sample exercises using complex numbers and the computer where students have the opportunity to do some analysis on this algorithm. (KR)

The programing language PROLOG is compared to LOGO in terms of its ability to handle mathematical ideas. This is demonstrated by using PROLOG in solving a geometric theorem and two lemmas. The listings of the computer programs used to solve the problems are included. (KR)

Described is a method of evaluating student chemistry laboratory reports using electronic reporting from locally developed macros. Examples of the input template, the grade report template, and input and grading programs are given. Results of a survey of students and teachers evaluating the program are reported. (MDH)