This research aims to explore the role of physical representations in young children's numerical learning then identify the benefits of using a graphical interface in order to understand the potential for developing interactive technologies in this domain. Three studies are reported that examined the effect of using physical representations…

This paper reports on a case-study design experiment in the domain of fraction as number-measure. We designed and implemented a set of exploratory tasks concerning comparison and ordering of fractions as well as operations with fractions. Two groups of 12-year-old students worked collaboratively using paper and pencil as well as a specially…

Presents various exercises and programs to demonstrate how low-resolution graphics (for Apple microcomputers) can be utilized in the mathematics classroom. (JN)

Discusses high resolution (hi-res) graphics programing on the Apple microcomputer, emphasizing its use in the mathematics classroom. Sample programs to plot dots and diagonals as well as programs for creating more complex visuals and patterns are included. (JN)

The Logo programing language is described. Why it is useful is discussed, followed by an illustrative activity using Logo. (MNS)

It is more important for children to learn concepts in mathematics than to be able to perform automatic computational functions. By permitting manipulation of the relationships among visible objects, computer graphics can make it easier for students to grasp concepts and can serve as an essential ingredient in effective computer-assisted…

Use of background grids from Logo programs is involved in this activity on angles and slopes. The value of such activities is then discussed. (MNS)

Suggestions for using microcomputers in statistics instruction are described, with programs that a seven-year-old could write using LOGO. (MNS)

An Apple LOGO program is provided which results in the creation of a cat's face. Discusses program commands, indicating that, although they are never mentioned, various mathematical/geometrical concepts are involved. Indicates that LOGO provides an environment where one can play comfortably with these basic concepts. (JN)

Suggests a series of ratio activities that make use of a computer to produce graphical collections of objects in a grid with variable dimensions. Extends content to the areas of proportions, statistics, probability, programming, and problem solving. (PK)

Some mathematics educators feel that too little geometry is taught in elementary schools. This may have serious effects as many students arrive in the traditional high school geometry course without essential backgrounds in informal geometry. The result of this lack of preparation is often lower scores on standardized tests. In this situation,…

Presents a tiling problem designed to be solved using the microcomputer, which will give students a context upon which to build meaning for the concepts of factors, common factors, and greatest common factors. (PK)

Discussion of elementary school mathematics instruction focuses on computer graphing programs to teach subtraction that use pictorial representations as well as graphs. Classroom graphing activities for first graders are described, and evaluations of student progress based on pre- and posttests are discussed. (two references) (LRW)

Describes some developmental changes in children's free creations with pattern blocks and demonstrates how to build on this natural interest to teach Logo programing. (PK)

Suggests that microcomputers permit even young children to investigate mathematical relationships and to solve problems. Activities, both on the computer and off the computer, are suggested. (PK)