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 results of action research which had the goal of producing concepts and topics that would permit students to get creatively engaged in mathematical analysis and problem solving. The method used, called Turtle Geometry,'' is concerned with programming a moving point to generate geometric forms. (DT)

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)

A computer language that can be used by people of all ages, Logo allows children the freedom to direct their own learning. Integrating Logo into the curriculum provides students the opportunity to program a computer, to engage in logical, sequential thinking and planning, to solve problems, and to manipulate text, language, graphics, and music…

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…

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…

This study investigated the effectiveness of LOGO's turtle graphics in both providing a model of systematic thought and in teaching simple geometry to young children in the second grade. The treatment given to 25 second grade students in the experimental group consisted of programming with LOGO's turtle graphics using four Apple II+…

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)

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

A long-term instructional experiment involving 45 third graders learning LOGO demonstrated that LOGO fulfills some of its early promise when used in carefully crafted educational contexts. There was little evidence of boosting general problem-solving skills as a result of learning programing, but learning geometry appeared enhanced. (SLD)

This student textbook is designed to incorporate programable calculators in grade 11 mathematics. The eight chapters contained in this document are: (1) Using Calculators in Mathematics; (2) Exponents and Logarithms; (3) Trigonometry of the Right Triangle; (4) Trigonometry Beyong the Right Triangle; (5) Graphs of the Trigonometric Functions and…

Described is a mathematics resource laboratory where students use a variety of computer materials to enhance, reinforce, and broaden their concepts of first- and second-year algebra and geometry. Included are sample laboratory sheets and the answers. (KR)

This report provides perspectives from the literature and from consultation with LOGO experts for viewing, evaluating, formalizing, and improving use of the LOGO programming language in education. Contents of the report include: a discussion of the instructional structure of LOGO which centers around its turtle mode, list processing nature, and…

The general nature of collaborative work among peers in classrooms is discussed. This framework is applied to the interpretation of a 2-year study which examined how pairs of children in two classrooms (8- and 9-year-olds; 11- and 12-year-olds) worked together to solve computer programming problems in the LOGO language. It was found that students…

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…