Describes examples of rational representation as a guide for translating terminology and information encountered in manuals for computers. Discusses four limitations of the representation. (YP)

Points out the benefits of students using LOGO with problems dealing with vectors and matrices. Provides examples of performing linear algebraic computations in LOGO. (ML)

Suggests the use of computer simulation of continuous systems as a problem solving approach to computer languages. Outlines the procedures that the system dynamics approach employs in computer simulations. Explains the advantages of the special purpose language, DYNAMO. (ML)

Described are several programs that enable the user to evaluate derivatives to order n of any elementary function by using the combination of automatic differentiation method and A Programming Language (APL). Programs calculating first- and higher-order derivatives are presented. Selected APL symbols are appended. (YP)

Presents an example of a proof to the mathematical problem of the sum of the cubes of the digits. Provides a Pascal program to search for these results. (MVL)

The Student Merit Award Program was designed to motivate, stimulate and reward students for their study and achievement outside the mathematics classroom by providing enrichment material on a variety of mathematical topics. In general, these topics are either not found in the standard curriculum or represent a more in-depth study of standard…

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…

Discussed is a project promoting "thinking about what students did" in an Israeli high school. Five examples of the project are described with LOGO commands. Several educational ideas are provided. (YP)

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)

Considers activities that use LOGO to slide, turn, and flip the "turtle." Uses non-LOGO tools such as cutouts, pattern blocks, and tangrams to enhance the motion work. Provides examples and programs with explanations. (MVL)

Reviews the Apple II program "Area and Volume" which investigates the areas and volumes of polygonal regions, circles, and solids for grades 6-12. Provides information updates on three programs: True BASIC 2.0, Turbo BASIC 1.0, and Microsoft QuickBASIC 3.0. (MVL)

Reports on a study designed to further investigate whether structured Logo learning experiences would have a positive influence on student understanding of selected basic geometry concepts. Results indicated more than just one year of Logo instruction would be needed to improve students understanding of simple angle and distance concepts. (TW)

Uses a LOGO program and probability to solve systems of equations. Provides a physical model and a LOGO model. Lists programs and explains the methodology used. (MVL)

Provides a method to use superscripts and subscripts on the screen by using graphics screen modes. Gives two methods and provides a listing of a sample BASIC program. (MVL)

Provides several examples of the use of Logo in working with fractions and manipulating vectors. Includes an exercise which deals with the relationship between the two and several exercises which address various problems using different kinds of fractions. (TW)