title: The development of children's understanding of proportions.
abstract: To determine whether the understanding of proportions develops before formal operations, children in grades 1, 3, and 5 and college students were given a variety of judgment tasks contrasting the comparison of quantity with the comparison of proportions. Results for the most difficult tasks indicated that a majority of fifth graders still lacked a full understanding of proportion. Results were interpreted as consistent with Inhelder and Piaget's contention that the comprehension of abstract relations requires formal operations. In grades 3 and 5, boys scored significantly higher than girls.
mesh_terms: D000328:Adult; D000367:Age Factors; D002648:Child; D002657:Child Development; D003071:Cognition; D005260:Female; D006801:Humans; D007600:Judgment; D008297:Male; D011336:Probability; D011582:Psychological Theory; D012737:Sex Factors; D012858:Size Perception; D014705:Verbal Behavior