Creating Equal Groups from N Items: Mathematical Creativity in Kindergarten

This study examines the solutions of 34 kindergarten children as they create equal groups from n bottle caps, where n was equal to 8, 9, 22, and 23. For each n, children were asked to find as many different solutions as possible. The number of solutions they found, i.e., children's fluency, as well as the strategies used to create equal groups, was analyzed. Findings indicated that for large numbers, fluency was greater for an even number of objects than for an odd number of objects. In general, most children reached only one solution. For all four tasks, most children created only two equal groups of caps, even though they could have created three groups or more. A significant association was found between tasks and a preferred strategy. While children employed between one and two strategies when working on a single task, when considering all four tasks, they generally employed between two and three strategies.