非符号数字敏锐度的个体差异与数学成绩之间的关联:一项元分析。

Association between individual differences in non-symbolic number acuity and math performance: a meta-analysis.

作者信息

Chen Qixuan, Li Jingguang

机构信息

State Key Laboratory of Cognitive Neuroscience and Learning, Beijing Normal University, Beijing 100875, China.

State Key Laboratory of Cognitive Neuroscience and Learning, Beijing Normal University, Beijing 100875, China.

出版信息

Acta Psychol (Amst). 2014 May;148:163-72. doi: 10.1016/j.actpsy.2014.01.016. Epub 2014 Feb 26.

Abstract

Many recent studies have examined the association between number acuity, which is the ability to rapidly and non-symbolically estimate the quantity of items appearing in a scene, and symbolic math performance. However, various contradictory results have been reported. To comprehensively evaluate the association between number acuity and symbolic math performance, we conduct a meta-analysis to synthesize the results observed in previous studies. First, a meta-analysis of cross-sectional studies (36 samples, N = 4705) revealed a significant positive correlation between these skills (r = 0.20, 95% CI = [0.14, 0.26]); the association remained after considering other potential moderators (e.g., whether general cognitive abilities were controlled). Moreover, a meta-analysis of longitudinal studies revealed 1) that number acuity may prospectively predict later math performance (r = 0.24, 95% CI = [0.11, 0.37]; 6 samples) and 2) that number acuity is retrospectively correlated to early math performance as well (r = 0.17, 95% CI = [0.07, 0.26]; 5 samples). In summary, these pieces of evidence demonstrate a moderate but statistically significant association between number acuity and math performance. Based on the estimated effect sizes, power analyses were conducted, which suggested that many previous studies were underpowered due to small sample sizes. This may account for the disparity between findings in the literature, at least in part. Finally, the theoretical and practical implications of our meta-analytic findings are presented, and future research questions are discussed.

摘要

最近许多研究探讨了数字敏锐度(即快速、非符号性地估计场景中出现的物品数量的能力)与符号数学表现之间的关联。然而,已报告了各种相互矛盾的结果。为了全面评估数字敏锐度与符号数学表现之间的关联,我们进行了一项荟萃分析,以综合先前研究中观察到的结果。首先,一项横断面研究的荟萃分析(36个样本,N = 4705)显示这些技能之间存在显著正相关(r = 0.20,95%置信区间 = [0.14, 0.26]);在考虑其他潜在调节因素(例如是否控制了一般认知能力)后,这种关联仍然存在。此外,一项纵向研究的荟萃分析显示:1)数字敏锐度可能前瞻性地预测后期数学表现(r = 0.24,95%置信区间 = [0.11, 0.37];6个样本),以及2)数字敏锐度也与早期数学表现存在回顾性关联(r = 0.17,95%置信区间 = [0.07, 0.26];5个样本)。总之,这些证据表明数字敏锐度与数学表现之间存在适度但在统计学上显著的关联。基于估计的效应大小进行了功效分析,结果表明许多先前的研究由于样本量小而功效不足。这可能至少部分解释了文献中研究结果的差异。最后,我们阐述了荟萃分析结果的理论和实际意义,并讨论了未来的研究问题。

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