designed to determine how children construct rational numbers and fractions. The Fractions Project is a successor to a project on investigating multiplication schemes used by children (Steffe, 1992). It hopes to extend models developed by Steffe in his multiplication project to include children's construction of rational number schemes. The project will study children's construction of rational numbers for three years starting in the third grade. By using computer microworlds as research tools, the project will be able to gather useful data on the schemes used by children to handle rational numbers and gain insight into children's development of rational numbers in arithmetic tasks. Thirty-minute teaching episodes provide the context for the collection of data. A teaching episode typically consists of two children and a project member in the role of the teacher. The microworlds act as the medium in which tasks are proposed and solutions are found. The tasks themselves serve a dual purpose. By examining how the children solve the tasks posed to them, the current stat
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