Child proportional scaling: Is 1/3=2/6=3/9=4/12?
Child proportional scaling: Is 1/3=2/6=3/9=4/12?
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DOI：
10.1016/j.jecp.2011.11.001
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发表时间：
2012-03-01
影响因子：
2.6
通讯作者：
Levine, Susan C.
中科院分区：
文献类型：
--
作者：
Boyer, Ty W.;Levine, Susan C.
目前的实验考察了比例因子在儿童比例推理中的作用。实验一使用选择任务，实验二使用生产任务来考察幼儿园儿童通过四年级的能力来匹配相同的、视觉描述的比例关系的能力。这两个实验的结果都表明，准确率随着等量比例之间的比例大小的增加而下降。此外，儿童的错误表明，对于涉及放大和缩小的问题，缩放比例关系的成本是对称的。这些发现表明，扩展具有认知成本，会导致绩效随扩展幅度的增加而降低。这些比例因素效应与儿童使用直觉策略来解决比例推理问题是一致的，这些问题可能是为更正式地理解比例关系奠定基础的重要问题。(C)2011 Elsevier Inc.保留所有权利。
The current experiments examined the role of scale factor in children's proportional reasoning. Experiment 1 used a choice task and Experiment 2 used a production task to examine the abilities of kindergartners through fourth-graders to match equivalent, visually depicted proportional relations. The findings of both experiments show that accuracy decreased as the scaling magnitude between the equivalent proportions increased. In addition, children's errors showed that the cost of scaling proportional relations is symmetrical for problems that involve scaling up and scaling down. These findings indicate that scaling has a cognitive cost that results in decreasing performance with increasing scaling magnitude. These scale factor effects are consistent with children's use of intuitive strategies to solve proportional reasoning problems that may be important in scaffolding more formal mathematical understanding of proportional relations. (C) 2011 Elsevier Inc. All rights reserved.