An Intelligent Tutoring System (ITS) consists of an expert problem-solving program in a subject domain, a tutoring model capable of remediation or primary instruction, and an assessment model that monitors student understanding. The Geometry Proof Tutor (GPT) is an ITS which was developed at Carnegie Mellon University and field tested in the…

This description of how one high school in Wisconsin is using computer equipment and instructors to further computer knowledge and awareness among students, teachers, and adults of the community, details a two-week computer literacy unit taught to students enrolled in geometry classes. An outline of the unit is provided along with daily lesson…

Presented are instructions for activities in which a calculator is used to investigate algebraic concepts. Also presented are short computer programs involving topics taught in prealgebra and an activity in which a trapezoid is transformed into a circle. (JN)

Describes a new theoretical model of the learning process produced by the computer's strict reliance on procedure and its unique methods for managing data. The implications of this model for mathematics learning are illustrated through an experimental paradigm comparing the problem-solving skills of an expert and a novice. (MBR)

This book describes how teachers have taught students to behave like working mathematicians who conjecture and prove within a community of learners through the use of microcomputers and the "Geometric Supposers" software. The first section discusses the definition and importance of the conjecture, describes inquiry skills and understandings…

Seymour Papert, creator of LOGO, explains how he came to create this important problem-solving language and how he intended it to be used to foster learning among children. What children can do with turtle geometry (indicated to be a natural approach to mathematics) is one topic considered. (Author/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)

The microcomputer has great potential for making high school geometry more stimulating and more easily understood by the students. The microcomputer can facilitate instruction in both the logico-deductive and spatial-visual aspects of geometry through graphics representations, simulation of motion, and its capability of interacting with the…

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)

Describes LOGO, an educational computing language designed at the Massachusetts Institute of Technology for use by young children in developing problem-solving skills. The structure of LOGO, the drawing operations possible using the LOGO "Turtle," LOGO as a learning environment, and the educational philosophy underlying LOGO are…

Discusses author's adaptation of the computer language Logo as an aid in teaching college preservice education students programming, geometry, arithmetic, and problem solving. A description of how Logo works and an example of how "turtle geometry" can be used to help teach geometry concepts are included. Four references are listed. (EJS)

Describes a special application of the microcomputer for small and large group instruction called Computer-Guided-Teaching (CGT). Effective teaching strategies incorporated in CGT lessons are discussed, and a description of a formal geometry course illustrates their use in CGT lessons. (MBR)

Discussion of Logo use to teach children computer programing covers the educational theory behind Logo, how it differs from other programing languages, its educational promise, its graphics capabilities, Logo research, and different versions available. It is argued that educational computing will succeed only if it provides new ways of teaching.…

Describes an Apple computer program (listing available from author) which simulates Fraunhofer and Fresnel diffraction using vector addition techniques (vector chaining) and allows user to experiment with different shaped multiple apertures. Graphics output include vector resultants, phase difference, diffraction patterns, and the Cornu spiral…

This report summarizes the proceedings of a conference held at the Harvard Graduate School of Education which focused on the conceptual distinction between microworld software and expert system software in education. Microworld software is defined as software which lacks a specific teaching and learning agenda, and expert systems as software that…