LOGO is a programming language developed at Bolt, Beranek and Newman, Inc., specifically for use in teaching. It provides the student with a set of numerical and symbolic primitives as elements for gradually building extended, complex program structures. The building of these structures is facilitated by a procedure-oriented programming heuristic…

The aim of this article is to identify the natural relationships that exist between using computer programming in BASIC, and some particular mathematical concepts. Specific examples are given for use by the mathematics teacher who has the necessary facilities available. (MN)

In this paper, prepared for a European conference on mathematics education, the author examines three types of computer use in undergraduate and high school classrooms: Using the computer as an instructional tool for student development of algorithms, teaching about the computer itself, and use of computer-assisted instruction. (SD)

THE EFFECTIVE AND ECONOMICAL USE OF COMPUTER FACILITIES AS AN AID IN TEACHING SECONDARY SCHOOL MATHEMATICS DEPENDS ON (1) ACCESS TO A TYPE OF FACILITY WHICH PERMITS PROBLEM-SOLVING PROCEDURES (I.E., ALGORITHMS DESIGNED BY A STUDENT) TO BE TESTED BY THE STUDENT AND (2) FACILITY RESPONSE TIME PER PROBLEM. THIS UNIT TIME VARIES WITH THE SIZE, TYPE,…

Discusses computer methods for finding roots of polynomials. The program provided finds rational roots and prints the roots as rational numbers. (PK)

Following a short introduction on the rationale and purpose for using algorithmic structures in the teaching of algebra, two topics from elementary algebra are presented in relation to control structures from computer programing, specifically: the multiplication of polynomials defined in terms of nested loops, and the distributive property…

The article considers the problem of how to plot on the computer screen a circle with center (A,B) and radius R. Several different procedures are discussed and compared. (PK)

This paper reports on one high school's experience with a project to teach students how to program and solve problems in mathematics using a computer. Part I is intended as a general guide for any high school administrator or mathematics instructor who is interested in exploring the installation of a computer terminal in his high school and wants…

Describes the Approaching Algebra Numerically (AAN) Calculator as a computer-based simulation of a hand-held calculator designed with novice learners in mind. Includes a complete description of the calculator and suggests uses for the calculator, including exponentiation, order of operations, scientific notation, concept of variable, and problem…

Techniques for estimating pi using the microcomputer are demonstrated. Four BASIC programs, coded from pi generating formulas, are compared for efficiency. (PK)

Describes the Plane Geometry System computer software developed at the Educational Computer Systems laboratory in Sofia, Bulgaria. The system enables students to use the concept of "algorithm" to correspond to the process of "deductive proof" in the development of plane geometry. Provides an example of the software's capability…

This document serves as Volume II of a two-part course designed to improve mathematical proficiency and understanding as the student is given practice in relevant problem-solving situations. It includes the mathematics skills needed to make sound consumer decisions. The purpose of this course is to review, reinforce and extend concepts learned in…