Development of proportional reasoning: where young children go wrong.

Development of proportional reasoning: where young children go wrong.
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DOI:
10.1037/a0013110
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发表时间:
2008-09
影响因子:
4
通讯作者:
Huttenlocher, Janellen
Huttenlocher, Janellen
中科院分区:
心理学2区
文献类型:
--
作者:
Boyer, Ty W.;Levine, Susan C.;Huttenlocher, Janellen

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先前的研究发现,儿童在10到12岁之前很难解决涉及离散单位的比例推理问题,但在6岁之前可以解决涉及连续数量的平行问题。目前的研究考察了儿童在处理涉及离散量的比例时哪里出错。研究1对幼儿园到四年级学生以及研究2对一年级和三年级学生进行了计算机比例等效选择任务。两项研究都涉及四个受试者之间的条件,这些条件是通过将连续和离散的目标比例与连续和离散的选择选项配对而形成的。在研究1中,目标和选择选项同时呈现,在研究2中,目标和选择选项依次呈现。在这两项研究中,当目标和选择选项都用离散数量表示时,孩子们的表现明显不如其中一个或两个比例都用连续数量表示时。综上所述,这些发现表明,儿童在涉及离散单元的比例推理问题上误入歧途,只有当数字匹配是可能的,这表明他们的困难是由于数字等价概念过度扩展到比例等价问题。
Previous studies have found that children have difficulty solving proportional reasoning problems involving discrete units until 10- to 12-years of age, but can solve parallel problems involving continuous quantities by 6-years of age. The present studies examine where children go wrong in processing proportions that involve discrete quantities. A computerized proportional equivalence choice task was administered to kindergartners through fourth-graders in Study 1, and to first- and third-graders in Study 2. Both studies involved four between-subjects conditions that were formed by pairing continuous and discrete target proportions with continuous and discrete choice alternatives. In Study 1, target and choice alternatives were presented simultaneously and in Study 2 target and choice alternatives were presented sequentially. In both studies, children performed significantly worse when both the target and choice alternatives were represented with discrete quantities than when either or both of the proportions involved continuous quantities. Taken together, these findings indicate that children go astray on proportional reasoning problems involving discrete units only when a numerical match is possible, suggesting that their difficulty is due to an overextension of numerical equivalence concepts to proportional equivalence problems.
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