The link between logic, mathematics and imagination: evidence from children with developmental dyscalculia and mathematically gifted children.

The link between logic, mathematics and imagination: evidence from children with developmental dyscalculia and mathematically gifted children.
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逻辑、数学和想象力之间的联系:来自患有发展性计算障碍的儿童和数学天才儿童的证据。

DOI:
10.1111/desc.12048
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发表时间:
2013
影响因子:
3.7
通讯作者:
Morsanyi K
Morsanyi K
中科院分区:
心理学1区
文献类型:
--
作者:
Morsanyi K

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本研究考察了发展性计算障碍(DD)儿童在传递性推理问题上的表现,通常是在智商、工作记忆和阅读技能上进行匹配的发展控制,以及具有出色数学能力的儿童。虽然主流方法目前认为DD是特定领域的缺陷,但我们假设数学技能的发展与逻辑能力的发展密切相关,逻辑能力是一种通用技能。特别是,我们期望数学技能和独立于信仰的推理能力之间有密切的联系。我们的研究结果表明,情况确实如此,DD儿童的表现比对照组更差,而高数学能力的儿童在对充满信念的问题进行逻辑推理时表现出出色的技能。尽管如此,所有组在具有信念中立内容的结构等效问题上表现不佳。这与抽象推理能力(即,对没有真实的生活参照物的内容进行推理的能力)比对信仰不一致的幻想内容进行推理的能力发展得晚的建议是一致的。http://www.youtube.com/watch? v=90DWY3O4xx8
This study examined performance on transitive inference problems in children with developmental dyscalculia (DD), typically developing controls matched on IQ, working memory and reading skills, and in children with outstanding mathematical abilities. Whereas mainstream approaches currently consider DD as a domain‐specific deficit, we hypothesized that the development of mathematical skills is closely related to the development of logical abilities, a domain‐general skill. In particular, we expected a close link between mathematical skills and the ability to reason independently of one's beliefs. Our results showed that this was indeed the case, with children with DD performing more poorly than controls, and high maths ability children showing outstanding skills in logical reasoning about belief‐laden problems. Nevertheless, all groups performed poorly on structurally equivalent problems with belief‐neutral content. This is in line with suggestions that abstract reasoning skills (i.e. the ability to reason about content without real‐life referents) develops later than the ability to reason about belief‐inconsistent fantasy content.A video abstract of this article can be viewed at http://www.youtube.com/watch?v=90DWY3O4xx8
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