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数字大小处理与数学焦虑之间的关系,以及它们对成人数学成绩的联合影响,因数字任务的指标而异。

The relationship between numerical magnitude processing and math anxiety, and their joint effect on adult math performance, varied by indicators of numerical tasks.

作者信息

Szczygieł Monika, Sarı Mehmet Hayri

机构信息

Institute of Psychology, Jagiellonian University in Kraków, Kraków, Poland.

Faculty of Education, Nevşehir Hacı Bektaş Veli University, Nevşehir, Türkiye.

出版信息

Cogn Process. 2024 Aug;25(3):421-442. doi: 10.1007/s10339-024-01186-0. Epub 2024 Apr 22.


DOI:10.1007/s10339-024-01186-0
PMID:38644404
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11269442/
Abstract

According to the hypothesis of Maloney et al. (Cognition 114(2):293-297, 2010. https://doi.org/10.1016/j.cognition.2009.09.013), math anxiety is related to deficits in numerical magnitude processing, which in turn compromises the development of advanced math skills. Because previous studies on this topic are contradictory, which may be due to methodological differences in the measurement of numerical magnitude processing, we tested Maloney et al.'s hypothesis using different tasks and their indicators: numerical magnitude processing (symbolic and non-symbolic comparison tasks: accuracy, reaction time, numerical ratio, distance and size effects, and Weber fraction; number line estimation task: estimation error), math anxiety (combined scores of learning, testing, math problem solving, and general math anxiety), and math performance. The results of our study conducted on 119 young adults mostly support the hypothesis proposed by Maloney et al. that deficiency in symbolic magnitude processing is related to math anxiety, but the relationship between non-symbolic processes and math anxiety was opposite to the assumptions. Moreover, the results indicate that estimation processes (but not comparison processes) and math anxiety are related to math performance in adults. Finally, high math anxiety moderated the relationship between reaction time in the symbolic comparison task, reaction time in the non-symbolic comparison task, numerical ratio effect in the symbolic comparison task, and math performance. Because the results of the joint effect of numerical magnitude processing and math anxiety on math performance were inconsistent, this part of the hypothesis is called into question.

摘要

根据马洛尼等人的假设(《认知》第114卷第2期:293 - 297页,2010年。https://doi.org/10.1016/j.cognition.2009.09.013),数学焦虑与数字大小处理缺陷有关,而这反过来又会影响高级数学技能的发展。由于此前关于该主题的研究相互矛盾,这可能是由于数字大小处理测量方法的差异,我们使用不同的任务及其指标对马洛尼等人的假设进行了测试:数字大小处理(符号和非符号比较任务:准确性、反应时间、数字比率、距离和大小效应以及韦伯分数;数轴估计任务:估计误差)、数学焦虑(学习、测试、数学问题解决和一般数学焦虑的综合得分)以及数学成绩。我们对119名年轻人进行的研究结果大多支持马洛尼等人提出的假设,即符号大小处理缺陷与数学焦虑有关,但非符号处理与数学焦虑之间的关系与假设相反。此外,结果表明估计过程(而非比较过程)和数学焦虑与成年人的数学成绩有关。最后,高数学焦虑调节了符号比较任务中的反应时间、非符号比较任务中的反应时间、符号比较任务中的数字比率效应与数学成绩之间的关系。由于数字大小处理和数学焦虑对数学成绩的联合效应结果不一致,这部分假设受到质疑。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/6ef5cc164b2d/10339_2024_1186_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/29e979b132b7/10339_2024_1186_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/449391a28243/10339_2024_1186_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/b0c3c00276cf/10339_2024_1186_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/ffb9d72bcb2d/10339_2024_1186_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/a29ac5a70857/10339_2024_1186_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/2291ae96797b/10339_2024_1186_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/6ef5cc164b2d/10339_2024_1186_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/29e979b132b7/10339_2024_1186_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/449391a28243/10339_2024_1186_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/b0c3c00276cf/10339_2024_1186_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/ffb9d72bcb2d/10339_2024_1186_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/a29ac5a70857/10339_2024_1186_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/2291ae96797b/10339_2024_1186_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/33c1/11269442/6ef5cc164b2d/10339_2024_1186_Fig7_HTML.jpg

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The relationship between numerical magnitude processing and math anxiety, and their joint effect on adult math performance, varied by indicators of numerical tasks.

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本文引用的文献

[1]
Task features change the relation between math anxiety and number line estimation performance with rational numbers: Two large-scale online studies.

J Exp Psychol Gen. 2023-7

[2]
Symbolic number comparison and number priming do not rely on the same mechanism.

Psychon Bull Rev. 2022-10

[3]
Mathematics and Numerosity but Not Visuo-Spatial Working Memory Correlate with Mathematical Anxiety in Adults.

Brain Sci. 2022-3-22

[4]
Teasing apart the unique contributions of cognitive and affective predictors of math performance.

Ann N Y Acad Sci. 2022-5

[5]
Numerosity Comparison, Estimation and Proportion Estimation Abilities May Predict Numeracy and Cognitive Reflection in Adults.

Front Hum Neurosci. 2021-11-23

[6]
The relation between working memory, number sense, and mathematics throughout primary education in children with and without mathematical difficulties.

Child Neuropsychol. 2022-2

[7]
The Nature of Math Anxiety in Adults: Prevalence and Correlates.

J Numer Cogn. 2019

[8]
Numerical Magnitude Processing in Deaf Adolescents and Its Contribution to Arithmetical Ability.

Front Psychol. 2021-3-25

[9]
A meta-analysis of the relation between math anxiety and math achievement.

Psychol Bull. 2021-2

[10]
Professional mathematicians do not differ from others in the symbolic numerical distance and size effects.

Sci Rep. 2020-7-13

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