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 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)

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.…

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

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)

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…

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 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)

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)

Presented is a series of eight hands-on exercises using Apple II computer graphics to investigate the following characteristics of periodic functions: period, amplitude, horizontal shift, and vertical shift. Detailed teacher instructions and the accompanying computer program are included. (MDH)

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)