Developmental relations between notational counting and number conservation.

The 2 studies of this report sought to determine the developmental relationship between the child's use of counting as a notational symbol system to extract, compare, and reproduce numerical information and the development of number conservation. In study 1, children between 4 and 6 years of age were administered notational-counting and number-conservation tasks. Analysis of children's profiles across tasks indicated that children develop quantitative counting strategies (but do not necessarily count accurately) before they develop number-conservation concepts. In study 2, the generality of this sequence was tested. A population of 7- to 9-year-old "learning-disabled" children who reportedly were developing atypical counting skills were administered notational-counting and number-conservation tasks. All of these children who conserved number also used quantitative counting strategies, although some of these children frequently counted arrays inaccurately. The significance of these findings is discussed with respect to existing models of counting/number-conservation relations, and an alternative formulation is suggested based upon the new findings.