Early Developments in Children's Use of Counting to Solve Quantitative Problems

Two studies evaluated preschool children's use of counting to solve different kinds of quantitative problems. Three uses of counting were considered: (a) counting to quantify a single set, (b) counting to compare two sets, and (c) counting to generate a set of a specified numerosity. In Experiment 1, 3- and 3 1/2 year-olds tended not to count spontaneously when asked to compare two sets, even when they were able to count fairly well. In Experiment 2, 3 1/2 year-olds again tended not to count spontaneously on compare-sets and generate-set problems, although they did count readily on quantify-set problems; and the use of counting on the compare-sets and generate-set problems increased markedly between 3 1/2 and 4 1/2 years. These early developments may be important educationally because counting plays a major role in arithmetic learning.