Examples are given of computer activities in analytic geometry. (MK)

A mult tile is a set of polygons each of which can be dissected into smaller polygons similar to the original set of polygons. Using a recursive LOGO method that requires solutions to various geometry and trigonometry problems, dissections of mult tiles are carried out repeatedly to produce tile patterns. (MDH)

Presents a computer program written in BBC BASIC to create fractal patterns. Discusses program modifications and gives graphic examples of changes. (JM)

Following a brief introduction to the LOGO programing language, describes its use in a sixth-grade classroom. The situations described illustrate students' growth while the choice of the situations illustrates teachers' growth. (JN)

Presents three activities in which students learn about and construct star polygons using the LOGO programing lanaguage. A list of suggested extension activities is included. (JN)

Four stages of problem solving are believed to occur in programing. Spirolaterals are discussed as specific examples of programing activity that have mathematical and programing interest. The BASIC programing language is used on the Apple II computer to provide examples of possible solutions to the problems posed. (MP)

Describes investigations involving data acquisition and analysis using microcomputers running the LOGO programing language. Provides new primitives to add to LOGO to access information from the analog to digital converter of a BBC microcomputer, giving samples of student results. (JM)

Cognitive psychology, artificial intelligence, and computer technology have advanced so much that it is feasible to build computer systems that are as effective as intelligent human tutors. Computer tutors have been developed for teaching students to do proofs in geometry and to write computer programs in the LISP language. (JN)

Described are four hour-long sessions of children working with the definition and use of a procedure for triangles in Logo programming. The conclusion is that turtle geometry is not a trivial activity. (MNS)

Explorations of Pascal's triangle through computer programming are described. Programming offers different methods and techniques that enrich the topic. (MNS)

Shows a series of Euclidean equations using the Euclidean algorithm to get the greatest common divisor of two integers. Describes the use of the equations to generate a series of circles. Discusses computer generation of Euclidean circles and provides a BASIC program. (YP)

PROLOG is a relatively new programing language with graphics capability. In addition, the language has a declarative rather than a procedural structure. Two programs illustrating use of the language in the mathematics classroom are presented. (JN)

Describes initial encounter of a fifth grade student with Logo, a computer program language designed to develop in the user a knowledge of programing, geometry, arithmetic, and problem solving. A brief description of Logo, programing examples, and two references are included. (EJS)

Explains the use of the 3-dimensional analytic geometry method to find values for a field geology problem. Gives a description of the mathematical theory for this method which can be applied to data obtained by drilling as well as open surfaces, and a computer program. (RT)

Some examples are given of geometric exploration and problem solving in which Logo is the primary tool and turtle graphics is the mathematical environment. Students can explore and develop important patterns while building visual intuition. (MNS)