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)

The teacher's guide for the eleventh unit in this SMSG series covers the chapter on rigid motions and vectors and the chapter on computers and programs. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral…

Transformation geometry topics are covered in one chapter of Unit 11 of this SMSG series. Work with translations, reflections, rotations, and composition of motions is included; vectors are briefly discussed. The chapter on computers and programming deals with recent history and uses of of the computer, organization of a digital computer, an…

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)

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)

Presented is an annotated list of 24 references on the LOGO programing language. The information provided is intended for classroom teachers and for researchers. Topics include use of the language in classroom situations, evaluation of a LOGO training program, the educational utility of LOGO, and others. (JN)

Presents the Morris Loe Angle Trisection Approximation Method to introduce students to areas of mathematics where approximations are used when exact answers are difficult or impossible to obtain. Examines the accuracy of the method using the laws of sines and cosines and a BASIC computer program that is provided. (MDH)

Describes a project in which 11- to 13-year-old children used their LOGO programing experience to assist them in investigating a mathematical topic. Students initially drew frieze patterns on graph paper and then wrote LOGO program. Implications of the project for mathematics instruction are noted. (JN)

The LOGO subroutine turtle geometry and Euclidean geometry are compared with respect to their treatment of similarity and difference of plane figures. The problem and its proposed solution of introducing a FLIP operation are viewed briefly from the perspectives of mathematics, computer science, and education. (MDH)

In polar coordinates, the intersection of the graphs of two functions, f(x) and g(x), does not always correspond to the solutions of the equation f(x) = g(x). Presented are examples to illustrate this concept, proofs demonstrating why this is true, and a computer program to simultaneously plot polar coordinate graphs. (MDH)