Number development in young children

Abstract

This paper presents new data on children's acquisition of counting skills. Three aspects of counting were studied: the formation of the cardinality rule that the last number named during counting denotes the number of objects in an array, the mastery of the counting procedure or the coordination of ordered number names and objects counted, and the growth of the knowledge that x + 1 is greater than x. A model was outlined which posits the hierarchic integration of six number skills to account for the growth of the knowledge that x + 1 is greater than x and the development of number conservation. The six skills are: the cardinality rule, the counting procedure, acquisition of more x's, judgments of relative numerosity, pattern recognition of small numbers, and one-to-one correspondences.