Computational chemistry instructional activities are often based around students running chemical simulations via a graphical user interface (GUI). GUI-based activities offer many advantages, as they enable students to run chemical simulations with a few mouse clicks. Although these activities are excellent for introducing students to the…

There is a quantum computing race among the tech giants Google, IBM, and Microsoft, including to a lesser extent Amazon and China's Alibaba. Governments, particularly America and China, are funding work in the area with the concern that quantum computers may soon crack current encryption methods, giving the country that gets there first a major…

For at least 2000 years people have been trying to calculate the value of [pi], the ratio of the circumference to the diameter of a circle. People know that [pi] is an irrational number; its decimal representation goes on forever. Early methods were geometric, involving the use of inscribed and circumscribed polygons of a circle. However, real…

Specifying file references for hypertext links is an elementary competence that nevertheless draws upon core computational thinking concepts such as tree traversal and the distinction between relative and absolute references. In this article we explore the learning effects of different instructional strategies in the context of an introductory…

For various reasons there has been a recent trend in college and high school calculus courses to de-emphasize teaching the Partial Fraction Decomposition (PFD) as an integration technique. This is regrettable because the Partial Fraction Decomposition is considerably more than an integration technique. It is, in fact, a general purpose tool which…

After reviewing several assumptions that support the future ubiquitousness of computers in society and in scholarly research, summarizes three interrelated frameworks for developing instructional computing. (GC)

The ubiquity of calculators led to many "computational abuses", when numbers substitute for substance. On the other hand, it resulted in decrease in number oriented dexterity of students. The latter led to a disdain for even simple calculations to work about unfamiliar mathematical problems. As a reaction to the former, the reputation of…

The programable calculator is suggested as a means of introducing elementary school students to certain features of computers. A one-hour presentation is described. (MP)

Investigates minimizing errors in computational methods commonly used in chemistry. Provides a series of examples illustrating the propagation of errors, finite difference methods, and nonlinear regression analysis. Includes illustrations to explain these concepts. (MVL)

In this article, we present CTRL_SPACE: a design for a software environment with companion hardware, developed to introduce preliterate children to basic computational concepts by means of an animatronic face, whose individual features serve as an analogy for a programmable object. In addition to presenting the environment, this article briefly…

Describes mathematical problems which occur when using the computer as a calculator. Considers errors in BASIC calculation and the order of mathematical operations. Identifies errors in spreadsheet and calculator programs. Comments on sorting programs and provides a source for Mathemagical Black Holes. (MVL)

The dissertation abstracts in this compilation all appeared in "Dissertation Abstracts International" in 1983. The 300 dissertations cited in the annual listing of research in the July 1984 issue of the "Journal for Research in Mathematics Education" are included, as well as 55 dissertations which were located but could not be…

An editorial comment on the computer and the mathematics educator is included first. Then, abstracts and comments are presented for 11 articles. Studies included focus on mental addition, problem solving by sixth graders, mathematics anxiety, tutoring, direct instruction, a bilingual program, thinking strategies for multiplication basic facts,…

This National Council of Teachers of Mathematics (NCTM) Yearbook shows how NCTM's recommendations for improving mathematics education--contained in the booklet, An Agenda for Action--are being implemented in schools. The 27 articles are grouped under 8 headings, corresponding to the 8 recommendations in the Agenda. The articles apply to all levels…

The Mathematics 16 program provides for the development of essential concepts, skills, and attitudes required for effective computation and problem solving. The program is activity-based, and addresses the need for students to be able to transfer and apply specific mathematical concepts and skills to more generalized situations in everyday life…