In the past decade, researchers have attempted to develop computer-assisted learning and testing systems to help students improve their learning performance. Conventional testing systems simply provide students with a score, and do not offer sufficient information in order to improve their learning performance. It would be of more benefit to…

This paper introduces the language associated with a polygon microworld called Polygon R&D, which has the mathematical crispness of Logo and has the discreteness and simplicity of a Turing machine. In this microworld, polygons serve two purposes: as agents (similar to the turtles in Logo), and as data (landmarks in the plane). Programming the…

In this paper, we present our experiences in using two automatic assessment tools, TRAKLA and TRAKLA2, in a second course of programming. In this course, 500-700 students have been enrolled annually during the period 1993-2004. The tools are specifically designed for assessing algorithm simulation exercises in which students simulate the working…

Describes elements in a course based on formulating principles and basic quantitative hypotheses directly in a programing language, thereby bypassing the language of mathematics. The course is designed to enable mathematically shy students to gain understanding of quantitative methods. Three computer programs are described in detail to illustrate…

PLATO Learning, Inc., a developer of computer-based instruction, recently released "Math Problem Solving." This product was designed to teach strategies for solving math problems, and consists of 19 problem-solving activities, ranging from basic math to algebra. Each activity includes tools to help find a solution and rule-based coaching to…

Provides a short BASIC program, RANVAR, which generates random variates for various theoretical probability distributions. The seven variates include: uniform, exponential, normal, binomial, Poisson, Pascal, and triangular. (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)

Presented are some current facts about symbol manipulators and their relation to high school mathematics. The development of computer algebra systems is discussed. Five areas of computer algebra needing investigation (skill proficiency, understanding, curriculum content, student homework, and equity) are identified. (MVL)

Describes a successful school model that is piloting computer hardware and software while reviewing and modifying classroom strategies and instructional techniques. Discusses the purpose of the school and a typical day of instruction. Lists results for the fifth and sixth grades. (MVL)

Provides a behaviorist's approach to learning with the microcomputer. Considers the philosophy of dealing with computer learning including: drill and practice, using a word processor, problem solving, remedial work, simulations, tutorials, computer managed instruction, computer literacy, and inservice education. (MVL)

Provides a software program for determining PI to the 15th place after the decimal. Explores the history of determining the value of PI from Archimedes to present computer methods. Investigates Wallis's, Liebniz's, and Buffon's methods. Written for Tandy GW-BASIC (IBM compatible) with 384K. Suggestions for Apple II's are given. (MVL)

Describes a summer graduate level course at Virginia Commonwealth University for mathematics teachers. Notes that the purpose of the course was to allow the teachers access to software usable in their classrooms, and to have teachers program in BASIC and use word processing programs. (MVL)