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…

Miniature handheld computers called PDAs are not only bombarding corporate America, but they are also noticeably making their mark on college campuses. The question is, how much impact are they making on the way students learn and instructors teach. These devices were born from a simple calculator and over two decades have transformed into a…

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…

Three preliminary studies and one exploratory main study investigated the effect of calculator use on elementary, middle, and secondary school students' solution methods on routine mathematical problems. Items were identified for which a longer and a shorter solution method existed. Half of the sample worked these using a calculator and half used…

Twenty-four games to be played with a hand-held calculator are described. Information includes the number of players, the approximate time required, the skills involved, the chance factor, and the game sequence. (NR)

Basic skills are defined as the method of inquiry or the process of mathematics. The calculator is discussed as being potentially useful in extending process skills. (MP)

Instruction of three children using calculators for a ten-week period resulted in achievement gains. (MNS)