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…

How microcomputers are to be utilized in on-going mathematics instruction is discussed. In the first section, the ideas of Skinner are considered in relation to microcomputer use. How computer-assisted instruction would appear when Skinner's programmed learning suggestions are followed is described, and other points of his philosophical beliefs…

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)…

Presents reviews of six software packages. Includes (1) "Plain Vanilla Statistics"; (2) "MathCAD 2.0"; (3) "GrFx"; (4) "Trigonometry"; (5) "Algebra II"; (6) "Algebra Drill and Practice I, II, and III." (PK)

Reviews two software packages; "Block It, An Instructional Game" and "Conquering Whole Numbers." The first is a simulation game which uses graphic representation of base-ten blocks to reinforce place value and regrouping. The second package is designed to give students in grades three through six practice in computation. (PK)

This article describes Widgets, computer-based learning tools designed to meet the instructional need for computer-based flexible tools that can be used across ability levels. It discusses development of three Widgets for students with mild disabilities: a multiplication with sets Widget, a number sense Widget, and a dollars and cents Widget.…

Historical movements in the development of the use of computers in mathematics education are highlighted. The development of more efficient interfaces between users and machines are discussed. Future trends in this area are identified. (CW)

Uses a LOGO program and probability to solve systems of equations. Provides a physical model and a LOGO model. Lists programs and explains the methodology used. (MVL)

Provides a method to use superscripts and subscripts on the screen by using graphics screen modes. Gives two methods and provides a listing of a sample BASIC program. (MVL)

Includes a list of favorably reviewed science and mathematics microcomputer software for instructional use in preschool through grade 12. Developed as an aid to educators in locating programs they may want to preview. (MVL)

Provides a software program for determining PI to the 15th place after the decimal. Explores the history of determining the value of PI from Archimedes to present computer methods. Investigates Wallis's, Liebniz's, and Buffon's methods. Written for Tandy GW-BASIC (IBM compatible) with 384K. Suggestions for Apple II's are given. (MVL)

Discusses Alabama's attempt to provide computer aided instruction in remedial and initial instruction. Describes the program's funding, obstacles, and mileposts. Lists five phases for program development of competency software. Notes that 125 mathematics and five reading programs are available. (MVL)

Presents the results of a preliminary investigation into the feasibility of teachers constructing their own animations for the mathematics classroom using computer animation tools. Provides examples of animation constructed using "Ani ST" and "Mathematica" programs. Concludes that computer animation has potential to be a…