Two computer exercises involving the classification of geometric figures are given. The mathematics required is relatively simple but comes from several areas--synthetic geometry, analytic geometry, and linear algebra. (MN)

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)

After a brief discussion of Pascal's triangle and description of four methods of hand construction, the author provides FORTRAN and BASIC programs for computer construction based on recursive definition. (SD)

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

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)

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)

The application of the programmable calculator to evaluating complicated formulas is illustrated by considering the formula for finding the area of any triangle when only the lengths of the three sides are known. Other advantages of the programmable calculator are discussed such as freeing the student to explore more challenging problems and…

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

Intended to be used in conjunction with a traditional curriculum, this book demonstrates the use of the computer, especially the on-line, interactive type of computer, to solve a variety of problems studied in secondary school mathematics. Each chapter presents several problems, and each problem introduces one or two concepts that must be…

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)

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)

Activities focus on the use of computers as an instructional tool. Three worksheets provide experiences with: perimeter and areas of squares; area of parallelograms and triangles; and properties of triangles. A Logo computer program is included. (MNS)

Provides two examples of the "regular falsi" method using geometry and a computer program. (YP)