Using Newton's method as an intermediate step, we introduce an iterative method that approximates numerically the solution of f(x) = 0. The method is essentially a leap-frog Newton's method. The order of convergence of the proposed method at a simple root is cubic and the computational efficiency in general is less, but close to that of Newton's…

This article illustrates the fact that unless tempered by algebraic reasoning, a graphing calculator can lead one to erroneous conclusions. It also demonstrates that some problems can be solved by combining technology with algebra.

Graphing calculators and data collection technology was integrated in an undergraduate science methods classes for preservice elementary school teachers. The study investigated whether preservice teachers' knowledge and comfort with the use of graphing calculator technology and their perspectives in the use of graphing calculator technology were…

Assumptions: In mathematics learning, one of the considerations in the graphing calculator (GC) use is to understand students' attitude toward calculators. Rationale: This presentation describes design of an assessment instrument of students' attitude toward graphing calculator. Objectives: A pilot study that assessed the effectiveness of the…

Although the nature of the research varies, as do concepts of angle, research in general supports the supposition that angle is a complex idea, best understood from a variety of perspectives. In fact, the concept of angle tends to be threefold, consisting of: (1) the traditional, static notion of two rays meeting at a common vertex; (2) the idea…

For mathematics teachers who are continually looking for ways in which to engage their students in the learning process, the capabilities offered by technology answer the call. Whether the technology comprises computer based applications or graphics calculators, often boring aspects can be bypassed so that students can work on the "good…

Multi-line-multi-operation calculators such as the TI-80 provide eighth-grade prealgebra and algebra students with significantly better computational tools for basic order-of-operation problems involving integers and signed rational numbers than do calculators offering only last-entry-or-result displays. Effects are more apparent for weaker…

A procedure is described that enables students to perform operations on fractions with a calculator, expressing the answer as a fraction. Patterns using paper-and-pencil procedures for each operation with fractions are presented. A microcomputer software program illustrates how the answer can be found using integer values of the numerators and…

Seven questions concerning the role of computation and the role of electronic calculators in arithmetic were posed to a sample of teachers, mathematicians, and laymen. Responses are given in percentage form and typical comments are included. (LS)

Surveys the range of electronic calculators currently available and their capabilities. Prices range from $20.00 to $800.00, and functions performed range from the four arithmetic operations to complex operations such as the computation of standard deviation, vector addition, and programs with up to 100 steps. (MLH)

The arithmetic needed for complex calculation using an electronic calculator is explained and exemplified. Problems involving square roots, number theory, Fibonacci numbers, and electrical resistances are solved. (SD)

This study investigates the degree to which relatively low-cost microtechnology devices, e.g., electronic games and calculators, might be considered as aids to learning in the classroom situation. A brief discussion includes an overview of the research that has been done on the use of calculators as learning devices and examples of criticisms of…

A review of the research on techniques for increasing the novice's understanding of computers and computer programming, this paper considers the potential usefulness of five tentative recommendations pertinent to the design of computer literacy curricula: (1) provide the learner with a concrete model of the computer; (2) encourage the learner to…

The purpose of this paper was to determine the effects of calculators in mathematics classes and to assess proposed curriculum revisions related to calculators. Twenty-six calculator studies and other selected sources were reviewed and annotated. Major conclusions of the study include: (1) calculator use has produced significant gains in…