Vanbinst Kiran, Ceulemans Eva, Peters Lien, Ghesquière Pol, De Smedt Bert
Parenting and Special Education Research Unit, Faculty of Psychology and Educational Sciences, University of Leuven, 3000 Leuven, Belgium.
Quantitative Psychology and Individual Differences, Faculty of Psychology and Educational Sciences, University of Leuven, 3000 Leuven, Belgium.
J Exp Child Psychol. 2018 Feb;166:232-250. doi: 10.1016/j.jecp.2017.08.008. Epub 2017 Sep 22.
Although symbolic numerical magnitude processing skills are key for learning arithmetic, their developmental trajectories remain unknown. Therefore, we delineated during the first 3years of primary education (5-8years of age) groups with distinguishable developmental trajectories of symbolic numerical magnitude processing skills using a model-based clustering approach. Three clusters were identified and were labeled as inaccurate, accurate but slow, and accurate and fast. The clusters did not differ in age, sex, socioeconomic status, or IQ. We also tested whether these clusters differed in domain-specific (nonsymbolic magnitude processing and digit identification) and domain-general (visuospatial short-term memory, verbal working memory, and processing speed) cognitive competencies that might contribute to children's ability to (efficiently) process the numerical meaning of Arabic numerical symbols. We observed minor differences between clusters in these cognitive competencies except for verbal working memory for which no differences were observed. Follow-up analyses further revealed that the above-mentioned cognitive competencies did not merely account for the cluster differences in children's development of symbolic numerical magnitude processing skills, suggesting that other factors account for these individual differences. On the other hand, the three trajectories of symbolic numerical magnitude processing revealed remarkable and stable differences in children's arithmetic fact retrieval, which stresses the importance of symbolic numerical magnitude processing for learning arithmetic.
尽管符号数字大小处理技能是学习算术的关键,但它们的发展轨迹仍然未知。因此,我们使用基于模型的聚类方法,在小学教育的前3年(5至8岁)中,描绘了具有不同符号数字大小处理技能发展轨迹的群体。识别出了三个聚类,并分别标记为不准确型、准确但缓慢型、准确且快速型。这些聚类在年龄、性别、社会经济地位或智商方面没有差异。我们还测试了这些聚类在特定领域(非符号大小处理和数字识别)和一般领域(视觉空间短期记忆、言语工作记忆和处理速度)的认知能力上是否存在差异,这些能力可能有助于儿童(高效地)处理阿拉伯数字符号的数值意义。除了言语工作记忆未观察到差异外,我们观察到这些认知能力在聚类之间存在细微差异。后续分析进一步表明,上述认知能力并不能仅仅解释儿童符号数字大小处理技能发展中的聚类差异,这表明其他因素导致了这些个体差异。另一方面,符号数字大小处理的三种轨迹在儿童算术事实检索方面显示出显著且稳定的差异,这强调了符号数字大小处理对学习算术的重要性。
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