The cognitive foundations of different hierarchical levels of mathematical skills in primary school children: extending the mathematics pathways model

IF 2.7 2区 心理学 Q2 PSYCHOLOGY, EDUCATIONAL European Journal of Psychology of Education Pub Date : 2024-03-25 DOI:10.1007/s10212-024-00823-8
Jie Xu, Dan Cai
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Abstract

Although previous research has demonstrated that the acquisition of mathematical skills requires support from multiple cognitive abilities, the associations between cognitive precursors in different domains and mathematics at different hierarchical levels among primary school children are not well understood. This study explores the cognitive mechanisms underlying primary school children’s mathematics learning by extending the original pathways model. A total of 409 children participated v.in the study. A battery of cognitive, symbolic number processing, and mathematics measures were performed on the participants. The cognitive pathways supported children’s symbolic number skills, which in turn provided the foundation for formal mathematics. Different hierarchical mathematics skills were supported by different cognitive constellations. A hierarchical progressive development structure was found, from cognitive precursors, through symbolic number processing, to basic math fluency and complex numerical computation, and then, to problem-solving. The study also tried to divide children into two groups, grades 1–3 and 4–5. The exploratory results showed that there were commonalities and differences in the cognitive basis of mathematics learning in the two groups. These findings further explained the cognitive mechanisms underlying mathematical development in primary school children, with possible implications for the effective teaching and practice of mathematics knowledge and early identification and intervention of learning difficulties.

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小学生不同层次数学能力的认知基础:数学路径模型的扩展
尽管以往的研究已经证明,数学技能的习得需要多种认知能力的支持,但对小学生不同领域的认知前体与不同层次的数学之间的关联还不甚了解。本研究通过扩展原有的路径模型,探索小学生数学学习的认知机制。共有 409 名儿童参与了这项研究。对参与者进行了一系列认知、符号数字处理和数学测量。认知路径支持儿童的符号数字技能,而符号数字技能又为正规数学奠定了基础。不同的认知结构支持不同层次的数学技能。研究发现,从认知前体到符号数字处理,再到基本数学流畅性和复杂数字计算,最后到问题解决,形成了一个分层渐进的发展结构。研究还尝试将儿童分为 1-3 年级和 4-5 年级两组。探索结果表明,两组儿童在数学学习的认知基础上存在共性和差异。这些发现进一步解释了小学生数学发展的认知机制,可能对数学知识的有效教学和实践,以及学习困难的早期识别和干预产生影响。
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来源期刊
CiteScore
6.30
自引率
3.30%
发文量
63
期刊介绍: The European Journal of Psychology of Education (EJPE) is a quarterly journal oriented toward publishing high-quality papers that address the relevant psychological aspects of educational processes embedded in different institutional, social, and cultural contexts, and which focus on diversity in terms of the participants, their educational trajectories and their socio-cultural contexts. Authors are strongly encouraged to employ a variety of theoretical and methodological tools developed in the psychology of education in order to gain new insights by integrating different perspectives. Instead of reinforcing the divisions and distances between different communities stemming from their theoretical and methodological backgrounds, we would like to invite authors to engage with diverse theoretical and methodological tools in a meaningful way and to search for the new knowledge that can emerge from a combination of these tools. EJPE is open to all papers reflecting findings from original psychological studies on educational processes, as well as to exceptional theoretical and review papers that integrate current knowledge and chart new avenues for future research. Following the assumption that engaging with diversities creates great opportunities for new knowledge, the editorial team wishes to encourage, in particular, authors from less represented countries and regions, as well as young researchers, to submit their work and to keep going through the review process, which can be challenging, but which also presents opportunities for learning and inspiration.
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