This article develops some ideas concerning the "big picture" of how using computers might fundamentally change learning, with an emphasis on mathematics (and, more generally, STEM education). I develop the big-picture model of "computation as a new literacy" in some detail and with concrete examples of sixth grade students…

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…

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…

This paper focuses on using technology to support mathematics instruction. Technologies such as computers and calculators are widely used in the teaching of mathematics. The educators advocate the use of these tools to reduce tiresome computations and tasks so that class time can be more effectively used for learning mathematics. The purpose of…

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…

Discusses the mistakes of Kirschner, the German philosopher and mathematician, in calculating factorials of large numbers by hand in the 1600s. Uses computer technology to calculate those numbers now. (ASK)

An algorithm is first defined by an example of making pancakes and then through discussion of how computers operate. The understanding that human beings bring to a task is contrasted with this algorithmic processing. In the second section, the question of understanding is related to learning algorithmic performance, with counting used as the…

A brief history of computers, a description of uses, and a disucssion of various types available are all given. Specific examples where the computer may be used to help teach mathematics are presented with some sample programs explained. A selected annotated bibliography is included. (LS)

A method is given for computer calculation of transcendental functions. (MK)

This report presents a theory of eye movement that accounts for main features of the stochastic behavior of eye-fixation durations and direction of movement of saccades in the process of solving arithmetic exercises of addition and subtraction. The best-fitting distribution of fixation durations with a relatively simple theoretical justification…

A review of the literature on the use of calculators and computers in instruction is presented. Topics covered include: (1) statements of goals for the instructional use of calculators and computers; (2) position statements; (3) computer manpower supply and demand; (4) a technical overview; (5) calculators in elementary schools; (6) computers in…

This curriculum guide is one of a series of five books published to supply all appropriate information related to the Hewlett-Packard Mathematics Drill and Practice Program for the computer. This text serves as the primary reference source for the program. The content is divided into two sections. A brief explanation of the curriculum structure is…

Discusses ways that calculators and computer microworlds, such as LOGO and Shape Makers, can be used as tools for exploration, problem solving, and empowerment in school mathematics. Includes suggestions for classroom activities. (Contains 12 references.) (MKR)

Discusses the use of calculators to calculate multiple operations. Describes calculating procedures and provides four different types of examples. (YP)