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…

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…

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…

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

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)

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)

Describes a study that determined the implications of computer graphics types and epistemological beliefs with regard to the design of computer-based mathematical concept learning with elementary school students in Taiwan. Discusses the factor structure of the epistemological belief questionnaire, student performance, and students' attitudes…

Describes a sequence of activities for experimenting with scaling and includes a method for revising any turtle graphic procedure so that it can be drawn to a variety of scales. (PK)

Describes an activity intended to incorporate investigation into learning of mathematics. The example cited involved having fourth graders study perimeter and area of rectangles using Logo. The author suggests that what began as a simple exercise in investigating geometric concepts became an exciting exploration that touched on many topics. (PK)

Provides an introduction to the mathematics and art of the complex plane. Includes two computer programs written in GW BASIC to facilitate a reader's initial investigation. Identifies additional software resources. Stresses the appeal to future scientists, mathematicians, and artists. (CW)

Illustrates the exploration of random and chance events with a microcomputer. Demonstrates this principle using turtle graphics, coin flips, and die rolls in a student exercise involving distance and direction on a number line. Includes the necessary LOGO programming statements to use this method. (CW)

Argues that Turtle Geometry has a great deal to offer mathematics teaching and learning. Suggests that it helps develop general problem-solving strategies and encourages new approaches to teaching and learning. (PK)