An environment for investigating vector-valued functions in two- and three-dimensional space using Logo is described. The language is presented, followed by use of the environment. Appended are Logo primitives and procedures. (MNS)

This paper merges state-of-the-art calculator technology with examples drawn from the Harvard Consortium Calculus Curriculum. A brief rationale for selection of the Harvard project and the TI-85 is provided, and four different mathematical situations are examined using different capabilities of the TI-85. Two short TI-85 programs are given.…

In polar coordinates, the intersection of the graphs of two functions, f(x) and g(x), does not always correspond to the solutions of the equation f(x) = g(x). Presented are examples to illustrate this concept, proofs demonstrating why this is true, and a computer program to simultaneously plot polar coordinate graphs. (MDH)

A method is described for finding those numbers which are both triangular and square (named trisqy numbers). A program for a programmable calculator is given, as well as a proof. (MNS)

This teacher's guide is designed for teaching BASIC and introducing students to the use of the computer by means of a series of short written lessons. The purpose of such a series is so that classroom time required for the series would not seriously hinder the progress of the normal course of study, and each student would have an opportunity to…

The Math Skills Program of the New York City Public Schools is designed to provide remediation in mathematics for students who have mathematics scores that are two or more years below grade level, or who have failed the Mathematics Regents Competency Test. During the 1985-86 school year, 58,192 students from 113 high schools participated in the…

The nature of "A Programing Language" (APL) is viewed as unambiguous, consistent, and powerful. It is based on the notion of functions as imperative verbs, and is used by a small but growing number of mathematicians and computer programers. Three areas of mathematical activity are addressed: calculation of arithmetic expressions,…

Mathematical problem-solving processes used by 27 eighth graders who had studied programming were compared to those of 27 who had not. Programmers used more systematic approaches and reviewed solutions more often than nonprogrammers but did not make more use of equations or do more planning. (PK)

Suggests a series of ratio activities that make use of a computer to produce graphical collections of objects in a grid with variable dimensions. Extends content to the areas of proportions, statistics, probability, programming, and problem solving. (PK)

Describes a program written for a programmable pocket calculator that computes the frequency response of linear systems. (Author)

Describes eight increasingly sophisticated and efficient sorting algorithms including linear insertion, binary insertion, shellsort, bubble exchange, shakersort, quick sort, straight selection, and tree selection. Provides challenges for the reader and the student to program these efficiently. (JM)

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)

Discusses several ways in which the Logo programming language can be used to experiment with and learn about matrices. Describes procedures for developing a Logo tool to establish a matrix representation, as well as others for adding, subtracting, and transposing. (TW)

Described is a software program with two components. One is muMATH, a package of functions that can perform a wide variety of symbolic manipulations. It is surrounded by, and written in, the accompanying language, muSIMP. A problem is described with a muMATH solution; another example uses the muSIMP language. (MNS)

The introduction of certain topics in the theory of machines and languages into school and college mathematics courses in place of the more usual discussion of groups and formal logic is proposed. Examples of machines and languages and their interconnections suitable for such courses are outlined. (MP)