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朴素理论和科学理论之间的干扰存在于数学中,并与数学成就有关。

Interference between naïve and scientific theories occurs in mathematics and is related to mathematical achievement.

机构信息

University of Trier, Trier, Germany.

University of Graz, Graz, Austria.

出版信息

Cognition. 2021 Sep;214:104789. doi: 10.1016/j.cognition.2021.104789. Epub 2021 May 29.

Abstract

When students learn a scientific theory that conflicts with their earlier naïve theories, the newer and more correct knowledge does not always replace the older and more incorrect knowledge. Both may coexist in a learner's long-term memory. Using a new speeded reasoning task, Shtulman and Valcarcel (2012) showed that naïve theories interfere with retrieving scientific theories. Although mathematics learning is a central aim of schooling and a vital prerequisite for success in life, no study has tested whether Shtulman and Valcarcel's (2012) findings generalize to mathematical subdomains such as algebra, geometry, and probability. Additionally, it is unclear how the interference strength relates to domain-specific and domain-general competencies. We investigated these questions using the speeded reasoning task with new mathematical items in a sample of 62 university students. Solution rates and reaction times indicated interference between naïve and scientific mathematical theories. Additionally, interference strength was inversely related to mathematical achievement and unrelated to general inhibitory control. After controlling for general inhibitory control, mathematical achievement was still substantially related to interference strength. These findings indicate that interference strength reflects domain-specific achievement rather than domain-general inhibitory control.

摘要

当学生学习与早期朴素理论相冲突的科学理论时,新的、更正确的知识并不总是取代旧的、更错误的知识。两者都可能存在于学习者的长期记忆中。Shtulman 和 Valcarcel(2012)使用新的快速推理任务表明,朴素理论会干扰科学理论的检索。尽管数学学习是学校教育的核心目标,也是生活成功的重要前提,但尚无研究检验 Shtulman 和 Valcarcel(2012)的发现是否适用于代数、几何和概率等数学子领域。此外,干扰强度与特定领域和一般领域的能力之间的关系尚不清楚。我们在 62 名大学生样本中使用新的数学项目的快速推理任务来研究这些问题。结果表明,朴素和科学的数学理论之间存在干扰。此外,干扰强度与数学成绩呈负相关,与一般抑制控制无关。在控制了一般抑制控制后,数学成绩仍然与干扰强度有很大关系。这些发现表明,干扰强度反映了特定领域的成就,而不是一般的抑制控制。

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