Developing a software environment to enhance 3D geometric proficiency demands the consideration of theoretical views of the learning process. Simultaneously, this effort requires taking into account the range of tools that technology offers, as well as their limitations. In this paper, we report on the design of Virtual Spaces 1.0 software, a…

Mathematical knowledge can be categorized in different ways. One commonly used way is to distinguish between procedural mathematical knowledge and conceptual mathematical knowledge. Procedural knowledge of mathematics refers to formal language, symbols, algorithms, and rules. Conceptual knowledge is essential for meaningful understanding of…

The Geometric Supposer computer software is described. It allows users to make any geometric construction that Euclid knew how to make. Some explorations with the Supposer are presented. (MNS)

Demonstrates how microcomputers can be used in teaching differential calculus, iteration, integral calculus, graphs, and statistics. Several ideas for putting this information into practice are outlined. Sample computer programs are included for the discussions on differential calculus, integral calculus, and iteration. (JN)

Provides computer programs (for Apple microcomputers) for drawing (in high resolution graphics) a three-leaved rose, concentric circles, circumscribed and inscribed astroids. Sample output and discussions of the mathematics involved in the programs are included. (JN)

Suggests computer graphing as a topic for computer programing. Reviews Apple II computer graphics information and gives suggestions for writing the programs. Presents equations to help place information onto the screen with proper coordinates. (MVL)

This is a collection of Pascal programs that were developed for a 1986 National Science Foundation-sponsored high school teachers' summer workshop. The programs can be used as a means of extending or enriching textbook material in either high school mathematics or Pascal courses. Some suggested uses are: (1) teacher demonstrations in mathematics…

Argues that before topics are added to or deleted from the traditional mathematics curriculum, it should be determined how technology can be used to teach that content. (PK)

Illustrates how muMATH can be used for manipulating abstract differentiation rules, optimization, implicit differentiation, related rules, and verifying the chain rule. (MVL)

Recommends an inquiry approach as the most effective use of computers in mathematics. Describes 10 types of computer software and nine applications of computers in mathematics. (YP)

Some mathematics educators feel that too little geometry is taught in elementary schools. This may have serious effects as many students arrive in the traditional high school geometry course without essential backgrounds in informal geometry. The result of this lack of preparation is often lower scores on standardized tests. In this situation,…

In this article we describe a mathematical microworld for investigating car motion on a racing course and its use with a group of grade 12 students. The microworld is concerned with the mathematical construction of courses and functions which describe car motion. It is implemented in the computer algebra system, Maple[R], which provides the means…

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 the preparation of preservice secondary mathematics teachers in the uses and implications of classroom technology. Presents four areas of technology: (1) programing; (2) utility programs; (3) calculators; and (4) implementation of instructional software and communication packages. (Author/YP)

Suggested are features which should be considered before selecting a specific interactive graphics package. Features that allow for accurate estimates of roots of functions and solutions to systems of equations are illustrated. Six graphics packages are compared including display, tabular options, misleading graphics, printing options, functions…