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数学训练是否能提高逻辑思维和推理能力?一项从学生到教授的横断面评估。

Does mathematics training lead to better logical thinking and reasoning? A cross-sectional assessment from students to professors.

机构信息

School of Mathematics and Statistics, The University of Sydney, Sydney, Australia.

School of Arts and Humanities, Edith Cowan University, Joondalup, Australia.

出版信息

PLoS One. 2020 Jul 29;15(7):e0236153. doi: 10.1371/journal.pone.0236153. eCollection 2020.

Abstract

Mathematics is often promoted as endowing those who study it with transferable skills such as an ability to think logically and critically or to have improved investigative skills, resourcefulness and creativity in problem solving. However, there is scant evidence to back up such claims. This project tested participants with increasing levels of mathematics training on 11 well-studied rational and logical reasoning tasks aggregated from various psychological studies. These tasks, that included the Cognitive Reflection Test and the Wason Selection Task, are of particular interest as they have typically and reliably eluded participants in all studies, and results have been uncorrelated with general intelligence, education levels and other demographic information. The results in this study revealed that in general the greater the mathematics training of the participant, the more tasks were completed correctly, and that performance on some tasks was also associated with performance on others not traditionally associated. A ceiling effect also emerged. The work is deconstructed from the viewpoint of adding to the platform from which to approach the greater, and more scientifically elusive, question: are any skills associated with mathematics training innate or do they arise from skills transfer?

摘要

数学通常被宣传为赋予那些学习它的人一些可转移的技能,例如逻辑和批判性思维能力,或者在解决问题方面有更好的调查技能、机智和创造力。然而,几乎没有证据支持这些说法。该项目对经过不同程度数学培训的参与者进行了测试,使用了从各种心理学研究中汇总而来的 11 个经过充分研究的理性和逻辑推理任务。这些任务包括认知反射测试和沃森选择任务,它们特别有趣,因为在所有研究中,这些任务通常都让参与者感到困惑,而且结果与一般智力、教育水平和其他人口统计信息无关。本研究的结果表明,一般来说,参与者接受的数学培训越多,完成的任务就越多,而且某些任务的表现也与其他不常与之相关的任务的表现相关。还出现了一个上限效应。这项工作是从增加解决更大、更难以捉摸的问题的平台的角度来进行解构的:与数学培训相关的任何技能是天生的还是来自技能转移?

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