This article discusses the impact of symbolic-manipulation systems on secondary school mathematics curriculum. Characteristics and possible roles for the symbolic systems are explored. Four references are listed. (YP)

Presents a theorem and its converse to generate all of the primitive Pythagorean quadruples. Provides a BASIC program generating them. (YP)

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,…

Provides examples of nested subroutines, focusing on the Gaussian quadrature function and test program (program listings included). Nested subroutines, features of the Gaussian quadrature, and when not to use it are considered. (JN)

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)

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)

Reviews three programs produced by Edu-Ware Services: an introduction to spelling; an interactive guide to the essentials of the Basic language and computer operations in general; and the first of six volumes of tutorials, suitable for secondary/remedial-postsecondary mathematics, focusing on numbers versus numerals, line number, and sets/rules…

Describes Newton's method to locate roots of an equation using the Newton-Raphson iteration formula. Develops an adaptive method overcoming limitations of the iteration method. Provides the algorithm and computer program of the adaptive Newton-Raphson method. (YP)

Describes ways of finding the answer to a problem for the possible sum of the three-digit numbers without using the same number repeatedly. Describes the classroom applications of the problem. Provides a computer program to obtain the solutions of the problem. (YP)

Discusses numerical methods to compute approximate solutions of a differential equation. Provides a Pascal program for the extended Euler-Heun method. (YP)

Discusses a structured approach to teaching computer programing in secondary schools. The approach can be used in an introductory computer programing (literacy) course or as a method to teach computer programing in traditional mathematics courses. Two sample lesson summaries (related to temperature conversions) are included. (JN)

Discusses a student project visualizing the surface of a function using computer graphics. Describes topics to complete the project, function and its domain, scaling, coordinate axes, projection of the surface, sketching the graph, plotting, changing the viewpoint, and rotating the axes. Provides a BASIC program using the rotation of the axes and…

Provides two examples of the "regular falsi" method using geometry and a computer program. (YP)