This article describes the experiences gained from a seminar in the teaching of mathematical reasoning and problem solving designed to prepare in-service high school mathematics teachers to teach genuine mathematical activity in a computer-based environment. Presented with a set of unfamiliar tasks and activities, the participants were encouraged…

Despite improvements in educational indicators, such as enrolment, significant challenges remain with regard to the delivery of quality education in developing countries, particularly in rural and remote regions. In the attempt to find viable solutions to these challenges, much hope has been placed in new information and communication technologies…

The objective of this study was to investigate the effects of Logo Mathematics Tutorial Two (LMT2) for teaching polygons to minority students. The polygons were chosen to develop a sound foundation for further knowledge and exploration in geometry. The subjects (N=23) were middle and high school students that were trained using LMT2. The subjects…

This report describes how the National Network of Eisenhower Regional Consortia and the Eisenhower National Clearinghouse are accomplishing their stated objectives. The report is organized into sections beginning with information about how to access the network. The topics of the remaining sections include: (1) Collaboration and Communication; (2)…

Six studies discussed in this paper compared error-specific or model-based remediation (MBR) with reteaching in algebra. MBR points out, and highlights as incorrect, errors specific to the student's solution before reteaching the correct procedures. Reteaching shows the student the correct procedure without addressing specific errors. Three of…

This paper provides an overview of the four major aspects of the PIXIE Intelligent Tutoring System: the field work undertaken to determine how teachers diagnose and remediate in introductory algebra; the set of experiments run to determine the relative effectiveness of Model-Based-Remediation (MBR) and Reteaching; systems work carried out to…

This material describes a sequence of inquiry-based instruction with Logo that is designed to teach young children (fourth grade or younger) about pre-proof geometry. Pre-proof geometry includes concepts such as open versus closed paths, angles, lines, polygons, and relations among polygons. Inquiry-based instruction relies upon questions to help…

This project developed a lesson authoring system, a component which provided communications between students and teachers using electronic mail, and calculus lessons which were formatively evaluated with 20 students at four high schools. The authoring system utilized word processors to write the lessons and a BASIC computer program to execute the…

Use of a computer programming language in problem-solving activities provides an opportunity to examine how young children use a restricted set of language primitives. The generation, and execution of computer instructions was used as a verification stage in the problem-solution process. The metric is intended to provide a descriptive…

The author argues the necessity of ensuring that mathematics is perceived by children as being useful. An example is provided which is intended to give children experiences which might help them develop a rationale for learning. It involves an item of computer software which simulates car racing. (PK)

Discusses various representations of a curve and the relationships between them. Describes mathematical exercises which use Logo to derive a turtle procedure for graphically representing a cycloid. Provides a proof of the trigonometric series formula to show equality. (RT)

One of the areas in which the microcomputer excels is that of the very rapid addition of a sequence of numbers. Many problems in mathematics can be reduced to such an addition. Examples of problems and computer programs are included. (PK)

Techniques for estimating pi using the microcomputer are demonstrated. Four BASIC programs, coded from pi generating formulas, are compared for efficiency. (PK)

Reviews of the courseware "Discovery! Experiences with Scientific Reasoning" and "Guess My Rule" are given. Discusses the accompanying manuals, the relative ease of use, and content of the programs. (PK)

Contains six abstracts of papers from the National Educational Computing Conference of 1986. Topics of the papers focus on the effects of teacher involvement, computer programs in applied mathematics and physics, microcomputer labs in science, graphing misconceptions, science simulations, and mastery learning with computers. (ML)