Discussion of the use of computers in math instruction highlights two possibilities suggested in response to an earlier journal column: (1) a program written in BASIC for producing spirolaterals, and (2) the use of LOGO list processing to solve matrix problems for exploring geometric transformations. (LRW)

Fractal geometry is introduced through examples of computational exploration of coastlines, self-similar curves, random walks, and population growth. These explorations, which include the construction of algorithms and the subsequent development and application of simple computer programs, lend themselves to self-directed study and advanced…

Discusses a calculation method to approximate pi. Describes how to get an approximation to the circumscribed and inscribed perimeters of regular polygons of n sides. Presents the computer program and result of the approximation. (YP)

Uses LOGO to enhance the applicability of curve stitching in the mathematics curriculum. Presents the formulas and computer programs for the construction of parabolas, concentric circles, and epicycloids. Diagrams of constructed figures are provided. (MDH)

Explores the production of shadows for drawings using the LOGO computer language and Affine Geometry. Explains the methodology of the shadowing and lists the Affine Turtle procedures. Provides for different versions of LOGO. (MVL)

Describes the method for producing the equiangular spiral, the geometric curve generated by modeling an insect's orientation process to an illumination source, utilizing a LOGO Turtle program which is included. (JJK)

Explores the close relationship between pattern formation and traditional geometry using the LOGO programing language with the specific example of joining squares, corner to corner, to form a closed ring. Includes the LOGO programs utilized, as well as color illustrations of the interesting and eye-catching patterns generated. (JJK)

Young children are interested in and capable of building a mathematics foundation at a very early age. Computer software allows children easy access to math. This software consists of seven activities for ages two to five years. These seven activities emphasize numbers, counting, addition, subtraction, patterns, problem solving, size, and…

The programing language PROLOG is compared to LOGO in terms of its ability to handle mathematical ideas. This is demonstrated by using PROLOG in solving a geometric theorem and two lemmas. The listings of the computer programs used to solve the problems are included. (KR)

Described is a recursive LOGO method for dissecting polygons into congruent parts (rep tiles) similar to the original polygon, thereby producing unexpected patterns. A list of descriptions for such dissections is included along with suggestions for modifications that allow extended student explorations into tile patterns. (JJK)

Examined are the three regular tessellations and derived semiregular tessellations whose regular polygons meet at common vertices. Included are BASIC computer program listings that explore the various combinations of regular polygons that can form regular or semiregular tessellations. (JJK)

Utilizes LOGO to teach the concept of inequalities by programing the turtle to take random walks in the coordinate plane restricted to predetermined regions defined by inequalities. The students task is to discover the inequalities that define the illegal areas into which the turtle must not move. Provides examples and corresponding computer…

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)

This document provides activities that teach seventh grade geometric concepts by using the LOGO programming language. The entire package consists of the printed text and an accompanying diskette which is integral to the program. The package contains 17 lessons; all but two of the activities contain a pre-activity reading, a pre-activity written…

This book attempts to introduce students to the creative aspects of mathematics through exploratory problems. The introduction presents the criteria for the selection of the problems in the book. Criteria indicate that problems should: be immediately attractive, require data to be generated or gathered, appeal to students from junior high school…