Two different numerical methods, the bisection method and simple iteration, are discussed and illustrated by approximating the real solution of an equation, with programs for the two methods included. Alternative methods are also indicated. (MNS)

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 book describes how teachers have taught students to behave like working mathematicians who conjecture and prove within a community of learners through the use of microcomputers and the "Geometric Supposers" software. The first section discusses the definition and importance of the conjecture, describes inquiry skills and understandings…

Discusses Newton's method for approximating the roots of functions, indicating that students who program in BASIC can learn and appreciate the method by writing their own programs. Includes a hypothetical dialogue between teacher and student about the topic; sample program listings; and problems assigned to students who have written programs. (JN)

This three-part volume addresses topics and issues related to the education of secondary school mathematics teachers. The first part focuses on six contemporary trends in secondary school mathematics which bear heavily upon initial training. They include: the current concern for problem-solving; the influences of environmental change on…

Seventeen research reports are arranged under several broad topics of mathematics education. Section 1 concerns language and mathematics learning, with one paper on word problems and one on concept formation. Papers on university level mathematics in Section 2 explore problem solving, characteristics of school leavers, some mathematical aspects of…

The National Council of Teachers of Mathematics (NCTM) sponsored a conference which focused on topics and issues related to the impact of computing on school mathematics. Presented are guidelines/recommendations related to computing and: (1) the mathematics curriculum; (2) mathematics instruction; and (3) pre- and in-service components of…

Experiences with complex numbers and graphical representations of them are discussed, with a program for a microcomputer. (MNS)

Explores alternative strategies to solve algebraic equations that do not lend themselves to traditional methods. Examines one nontraditional equation by a graphical approach using a graphing utility and by a numerical approach using spreadsheets. Discusses new basic skills for algebra utilizing technology. Provides a computer program to solve…

Two topics are discussed that can be presented in a discussion of the annual percentage rate (APR): difference equations and fixed-point iteration. A program in BASIC using the iteration procedure is included. (MNS)

Issues in school mathematics programs are considered in this book. In the first section, mathematics education at the start of the decade is examined through two articles: a discussion of the status of mathematics programs and of prospects for the 80s, and an interpretation of the results of the second national mathematics assessment of the…

Uses Derive as an instructional tool to investigate asymptotic behavior of rational functions. Activities focus on reducing manipulation and computation and on generating multiple examples to focus on discovery of the concept rather than a summary of rules. (MLN)

Describes a system of computer assisted instruction geared primarily toward high school and university students involved in numerical analysis and optimization. Also describes (in detail) one of its modules to illustrate the general philosophy of the system. This module focuses on the simplex method. (JN)

How to give students a concept of a computer's speed, information on films and software exchanges, and a BASIC program on estimation are included in this report. (MNS)

Discusses uses of the microcomputer in elementary mathematics education. Included are: (1) drill; (2) practice; (3) problem solving; and (4) games. (YP)