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…

Presents a lesson developed for a Montessori Elementary Level II class using the Turtle Math program. Students used mathematics, geometry, and logical thinking to identify the basic formula for drawing stars with any desired number of points. (KB)

The use of a computer software package called "Exploring Measurement, Time and Money--Level 1" to help children explore many different arrangements of data and the effects of changing that data is presented. Activities which may be used to prepare students for this instruction are described. (CW)

Trends in computer programing language design are described and children's difficulties in learning to write programs for mathematics problems are considered. Languages are compared under the headings of imperative programing, functional programing, logic programing, and pictures. (DC)

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 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)