Finger use mirroring young children's ways of experiencing numbers.

Children who encounter questions about quantities or numbers are observed to use their fingers in different ways to aid their problem solving. This study aimed to contribute to the area of finger counting research with an inquiry of what children's finger use tells us about their knowledge of numbers. A basic argument is that it is not sufficient to observe the actual use of fingers; there is a need for interpretations of what the finger use means to the children, taking the children's perspective as the outset. This was done by analyzing 4- and 5-year-olds' finger use through the lens of phenomenography and variation theory of learning to describe the qualitatively different ways in which children use fingers as an expression of their ways of experiencing the meanings of numbers. Five categories of finger use that show a variety in the meanings the fingers represent emerged: Fingers represent individual items, quantities, countables, number relations, and number structure. The results show that children's finger use may give access to their ways of understanding numbers; some ways of using fingers indicate expressions of more or less advanced meanings of numbers. A conclusion from the results is that to develop number knowledge and skills, children are aided by learning to see and use their fingers as representing composed units. Some children need the structural support of fingers to solve number problems, and fingers should be used to explore number structures rather than used as countables.