This study examined the generality of the logarithmic to linear transition in children's representations of numerical magnitudes and the role of subjective categorization of numbers in the acquisition of more advanced understanding. Experiment 1 (49 girls and 41 boys, ages 5-8 years) suggested parallel transitions from kindergarten to second grade…

Compares the cognitive representation of number of 24 American, 25 Chinese, 24 Japanese, and 40 Korean first-graders, and 20 Korean kindergartners. Chinese, Japanese, and Korean children preferred to use a construction of tens and ones to show numbers, whereas English-speaking children preferred to use a collection of units. (RJC)

Judgments of similarities between numbers were solicited from kindergarten, third-grade, sixth-grade, and adult subjects. Results suggested children become sensitive to an expanding set of numerical relations during the period from kindergarten through sixth grade. Results of a second study suggested that the number similarity judgments of…