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Mathematics Education

Children's Construction of the Rational Numbers of Arithmetic

This NSF-funded project is attempting to understand children's development of fraction and rational number concepts from a radical constructivist viewpoint. The project began working with students beginning in third grade and followed them through fifth grade.

The students work in pairs with a teacher in one of three computer microworlds written for the project. Tasks are posed by the teacher and the students' work is videotaped for later analysis. Through such analysis, we intend to identify mental operations developed by the students as they construct fractions and rational numbers.

Principal investigators in the project are Les Steffe and John Olive.

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