Teaching methods which emphasize understanding and insight can be effectively supported and expanded by using A Programming Language (APL) as a notation for both writing the algorithms of a discipline and then exploring the behavior of these algorithms by computer. (Author/LS)

Describes the activities of nine-year-old students during a six-week session designed to introduce them to computers and to the LOGO programming languages. Sample programs written by the students are included. Indicates that these students needed very little instruction or even assistance. (JN)

This booklet contains four articles for use by instructors of the APL computer programming language. In the first paper, "APL in a Liberal Arts College," Donald McIntyre describes experiences in the implementation of an introductory computing course at Pomona College and the presentation of a faculty seminar in computing. Principles used…

Differences in computer languages are noted. Symbol-based languages offer some distinct advantages over number-based languages, both in the form and the content of the student's interaction with the computer. Some of these advantages are explored and their applications to teaching mathematics described. (MNS)

The first article, "LOGO and von Neumann Ideas," deals with the creation of new procedures based on procedures defined and stored in memory as LOGO lists of lists. This representation, which enables LOGO procedures to construct, modify, and run other LOGO procedures, is compared with basic computer concepts first formulated by John von…

Student projects that involve writing generative grammars in the computer language, "LOGO," are described in this paper, which presents a grammar-running control structure that allows students to modify and improve the grammar interpreter itself while learning how a simple kind of computer parser works. Included are procedures for…

Uses muMATH to illustrate the step-by-step process in translating mathematical theory into the symbolic manipulation setting. Shows an application of a Picard iteration which uses a computer to generate a sequence of functions which converge to a solution. (MVL)

This resource guide for teachers suggests activities for 20 instructional sessions for elementary children, particularly those in grades 3-6, to introduce them to the LOGO computer language. It can be used with five LOGO versions: Apple, Atari, MIT, Texas Instruments, and TRS. For each session, the guide covers objectives, concepts/skills,…

Presented are three computer projects: vector analysis, electric field intensities at various distances, and the Biot-Savart law. Programing suggestions and project results are provided. One month is suggested for each project. (MVL)

A FORTRAN program is provided for use with computer projects for a course in number theory. Uses diminishing functions and the speed of the computer to quickly determine possible solutions to problems. (MVL)

Describes the use of computers in a comparative history course. Outlines course objectives and stresses the incorporation of computers into hypothesis formulation. Discusses available software packages and the pros and cons of each. Concludes with further recommendations for the use of computers in the classroom. (RW)

This paper discusses computers and their potential role in education. The term "byte" is first explained, to emphasize the idea that the use of computers should be implemented one "byte" or step at a time. The reasons for this approach are then outlined. Potential applications in computer usage in educational administration are suggested, computer…

A rationale for the use of gaming and simulation for instructional purposes is developed in the introduction to this paper. The major portion of the text is comprised of several models of computer programs for economics instruction. (SHM)

Discusses dimensionality in Euclidean geometry. Presents methods to produce fractals using LOGO. Uses the idea of self-similarity. Included are program listings and suggested extension activities. (MVL)