Eighty-eight 3-year-olds were presented with 1-2, 1-3, and 2-2 candy sets as to whether they understood the terms of“ more” and“ same”, and if they made wrong answers, they were given secondary instructions. At the end of the Pretest they were required to pass the criterion test.
Seventy-eight children who succeeded in the criterion test served as subjects. In Exp. I subjects were asked to discriminate between 3 and / or 4 item sets horizontally or vertically arranged on cards in one-to-one correspondence, while in Exp. II they were arranged non-correspondingly.
The major results are as follows:
1) In the pretest only 1/3 of the 3-year-olds readily understood “more” and “same”. The older group (3:6-3:11) more often passed the Pretest spontaneously or with less secondary instructions than the younger group (3:0-3:5). Ten children who failed in the criterion test were all found in the younger group. This indicates the necessity of giving a check-up test on the comprehension of the words “more” and “same” in advance, when 3-year-olds are to be used as subjects in experiments of quantitative judgment.
2) In the Pretest more errors occurred in equality than in inequality judgments.“Same” was shown to be more difficuclt than “more” as a quantitative term.
3) In spite of age differences in performance and of differences in difficulty between equality and inequality tasks, about 90% of the 3-year-olds succeeded during the Pretest in understanding the terms of “more” and “same”, which indicates the trainability of these terms for 3-year-olds.
4) In corresponding arrangements (Exp. I), almost all the subjects made perfectly correct responses to both equality and inequality problems.
5) On the other hand, the correct responses dropped down to 20% in non-corresponding arrangements (Exp. II). It is herewith suggested that 3year-olds judge quantity under the visual control even if they know the terms of “more” and “same”.
6) Most of those who were consistent in judgments used relative lengths of the rows as a cue, whereas nonconsistent responders who occupied more than a half of the subjects used a different visual cue from time to time.
7) Among non-corresponding tasks, inequality problems were performed better than equality ones where 4-4 problems were more poorly solved than 3-3 problems.
8) The age difference between the older and younger groups expanded according to the order of 4-4 equality, 3-3 equality and inequality problems, as the older group showed clearer progress in perfamances in the same order than the younger group. This may suggest that quantitative concepts in 3-year-olds develop from inequality toward equality judgment.
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