近似数量系统与数学能力的关系:一项元分析

doi:10.16187/j.cnki.issn1001-4918.2023.03.09

摘要/Abstract

摘要： 近似数量系统(ANS)与数学能力的关系是国际认知与心理研究的经典问题,大量研究进行了探索,但仍存在争议。为了揭示二者关系及其方向和调节机制,本研究对来自55项研究、59个独立样本、12661名被试的242个效应值进行了元分析。结果发现,ANS与数学能力之间存在稳定的中相关,二者关系是双向的,受ANS测量指标、数学能力内容和年龄的调节。研究结果为深入的纵向研究、实验研究和干预研究奠定了基础,为数学教育提供了实证依据和视角。

关键词: 近似数量系统, 数学能力, 元分析

Abstract: Numerous researches have been dedicated to exploring the association between the Approximate Number System (ANS) and mathematical competence in the past two decades. However, various contradictory results have been reported. It remains unclear whether and to what extent and direction the relationship differs systematically and whether variables such as index, task type and task presentation of ANS, math content, and participant age are additional moderators. We investigated these questions by employing of a meta-analysis. The literature yielded 55 articles, 59 independent samples reporting 242 effect sizes found with 12661 participants. The main effect analysis indicated a significant positive correlation (r=0.271) between ANS and mathematical competence. Significantly, the association between ANS and math ability was reciprocal. The moderation analysis revealed that the association was moderated by the index of ANS, math content and participant age. In addition, 82 or more participants are needed to detect the effect. The study set the foundation for further longitudinal, experimental and interventional research and shed light on mathematical education.

Key words: approximate number system, mathematical competence, meta-analysis

中图分类号:

G442

程阳春, 黄瑾. 近似数量系统与数学能力的关系:一项元分析[J]. 心理发展与教育, 2023, 39(3): 379-390.

CHENG Yangchun, HUANG Jin. Association between the Approximate Number System and Mathematical Competence: A Meta-analysis[J]. Psychological Development and Education, 2023, 39(3): 379-390.

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