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According to Kieren (1983), partitioning experiences may be as important to the development of rational number concepts as counting experiences are to the development of whole number concepts.
That being said, it is important to understand the strategies our students use to partition objects, so we can help them mature in their understanding of the fraction concept...
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Charles and Nason (2000) do a great job explaining and categorizing the strategies most young children use when partitioning. In their study they chose to focus on learning fractions in relation to the partitive quotient construct. “The partitive quotient fraction construct can be operationally defined as the process in which one starts with two quantities x and y, treats x as the dividend and y as the divisor and by the operation of partitive division obtains a single quantity x/y†(Charles & Nason, 2000, p...
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