Partitioning: The Emergence of Rational Number Ideas in Young Children

Source abstract

The study sought to trace the emergence and differentiation of partitioning as a process that leads young children to construct ideas of rational numbers. The method involved clinical sessions with children as they manipulated materials while solving tasks designed to reveal partitioning processes. The data analysis led to a theory concerning the emergence of partitioning capability, and conceptual structures that undergird the capability were identified. A five-level theory of the development of the partitioning process is presented.