Describes a step-by-step procedure that enables teachers to develop lessons that effectively use software or special calculators in the classroom. Problem-solving strategies and questions are determined that correspond to the technology through which students are able to construct their own knowledge. Illustrates the procedure using spreadsheets,…

Explores the concept of extraneous roots in radical equations using an alternative to traditional algebraic methods. Using calculator- or computer-based graphs, accounts for extraneous roots by examining the four possible cases of systems of equations that can produce the solution to the radical equation. (MDH)

Discusses the concept of social mathematics in which numerical information is connected to the people and issues of social studies. Maintains elementary students can learn that data represent information from the real world. Includes class activities using historical timelines, data collection, and database computer programs. (CFR)

These proceedings contain the papers presented at the 1995 annual meeting of the Canadian Mathematics Education Study Group. Papers are organized into four sections: (1) plenary lectures; (2) working groups; (3) topic sessions; and (4) ad hoc sessions. Papers include: (1) "The Role of Epistemology in the Analysis of Teaching/Learning…

Rapidly changing technology is affecting mathematics instruction in both the People's Republic of China and the United States. This study examines methods used in the two countries, addresses common problems facing both countries, and suggests alternative approaches for meeting these challenges. The study investigated class size and teaching load,…

This paper presents some possible reasons why persons with visual impairments are under-represented in the fields of mathematics and science, including insufficient general preparation for higher education during the K-12 years and the lack of effective alternative instructional materials and methods available to a person with a visual impairment…

This report reviews student usage of microcomputers in schools and the effects of microcomputer use on their academic achievement. Data was collected using: (1) a national survey from the 1989 international "CompEd" survey of the International Association for the Evaluation of Educational Achievement; (2) a 1989 survey of teacher attitudes…

The 7000l Training and Employment Institute offers self-paced instruction through the use of computers and audiovisual materials to young people to improve opportunities for success in the work force. In 1988, four sites were equipped with Apple stand-alone software in an integrated learning system that included courses in reading and math, test…

This paper summarizes a formative evaluation of a developmental project designed to maximize the potential use of computers in mathematics instruction through the use of volunteers. The project was conducted using a 7th-grade class at an intermediate school in Utah. Data were analyzed for 12 students in a special class for students not having the…

Developed to provide assistance and support to local schools that want to improve their secondary mathematics programs, this guide provides an updated view of what North Dakota educators feel is necessary in a secondary mathematics curriculum. An overview of perceived statewide mathematics objectives and a review of national perspectives on…

This paper provides an historical perspective on the possible roles of cognitive technologies in thinking as "reorganizers" of the mind. It suggests that by understanding the transformational roles of advanced technologies for mathematical thinking, positive contributions can be made to research and practice on the use of computers in…

This document reports on a project that is examining some of the difficulties encountered in teaching word problems involving multiplication, division, and intensive quantities. Some of the various uses of these operations and their structures are considered. Described are discoveries and assumptions regarding students' cognitive models of these…

A change of emphasis in mathematics education may be needed from a mechanical and computational focus to a problem-solving approach. A first step in facilitating this goal is to place children in situations emphasizing problem-solving skills, requiring them to develop and apply their own logic structures. This paper describes a microcomputer based…

Specific programs and software resources are described in this report on function plotters to be used in secondary mathematics instruction. Products are entered in alphabetical order and the following information is provided for each package included: (1) producer; (2) hardware needed; (3) required peripherals; (4) grade level; (5) price; (6)…

This document is designed to assist teachers and administrators in Texas in the planning and implementation of the course known as Computer Mathematics I. The philosophy and intent of the course is stated, along with credit allowed, prerequisite guidelines, guidelines for teacher preparation, suggested equipment needs, sample objectives, sample…