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数学表现中的创造力:发散思维和聚合思维的作用。

Creativity in mathematics performance: The role of divergent and convergent thinking.

机构信息

Behavioural Science Institute, Radboud University, Nijmegen, The Netherlands.

出版信息

Br J Educ Psychol. 2022 Jun;92(2):e12459. doi: 10.1111/bjep.12459. Epub 2021 Sep 8.

Abstract

BACKGROUND

Creativity requires both divergent and convergent thinking. Previous research established that divergent thinking relates to mathematics performance, but generally ignored the role of convergent thinking and, hence, leaves it unclear how both might interact when children work on mathematical tasks. This study addressed this paucity in the research literature, with the goal of improving our understanding of the role of creative thinking in primary school mathematics.

AIMS

This study examined how divergent and convergent thinking contribute to mathematics performance, both directly and jointly, on single- and multiple-solution tasks.

SAMPLE

The study was conducted with 229 Dutch fifth graders of 12 primary schools.

METHOD

Divergent and convergent thinking were measured with a visual and verbal task. Path analysis was used including verbal and visual divergent and convergent thinking tasks in relation to single- and multiple-solution mathematics task performance. Working memory was included as a covariate.

RESULTS

Verbal convergent thinking positively predicted single- and multiple-solution task performance. Verbal divergent and convergent thinking interacted in relation to single-solution task performance, while visual divergent and convergent thinking interacted in relation to multiple-solution task performance.

CONCLUSIONS

Children's mathematics performance mainly relies on convergent thinking. The role of divergent thinking is twofold: it complements convergent thinking on multiple-solution tasks and compensates convergent thinking on single-solution tasks.

摘要

背景

创造力既需要发散思维,也需要聚合思维。先前的研究已经证实,发散思维与数学表现相关,但通常忽略了聚合思维的作用,因此不清楚这两者在儿童进行数学任务时是如何相互作用的。本研究旨在解决研究文献中的这一不足,以增进我们对创造性思维在小学数学中的作用的理解。

目的

本研究旨在探讨发散思维和聚合思维如何直接和共同作用于单一解决方案和多解决方案任务,对数学表现产生影响。

样本

该研究的样本包括来自 12 所小学的 229 名荷兰五年级学生。

方法

使用视觉和言语任务来测量发散思维和聚合思维。路径分析用于包括言语和视觉发散思维和聚合思维任务,以及单一和多解决方案数学任务表现之间的关系。工作记忆被作为协变量纳入分析。

结果

言语聚合思维正向预测单一和多解决方案任务的表现。言语发散思维和聚合思维之间存在交互作用,与单一解决方案任务表现相关,而视觉发散思维和聚合思维之间存在交互作用,与多解决方案任务表现相关。

结论

儿童的数学表现主要依赖于聚合思维。发散思维的作用是双重的:它在多解决方案任务中补充了聚合思维,而在单一解决方案任务中补偿了聚合思维。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/abd5/9291758/47c670d6f53e/BJEP-92-0-g003.jpg

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