{"title":"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","authors":"Jie Xu, Dan Cai","doi":"10.1007/s10212-024-00823-8","DOIUrl":null,"url":null,"abstract":"<p>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.</p>","PeriodicalId":47800,"journal":{"name":"European Journal of Psychology of Education","volume":"86 1","pages":""},"PeriodicalIF":2.7000,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The cognitive foundations of different hierarchical levels of mathematical skills in primary school children: extending the mathematics pathways model\",\"authors\":\"Jie Xu, Dan Cai\",\"doi\":\"10.1007/s10212-024-00823-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>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.</p>\",\"PeriodicalId\":47800,\"journal\":{\"name\":\"European Journal of Psychology of Education\",\"volume\":\"86 1\",\"pages\":\"\"},\"PeriodicalIF\":2.7000,\"publicationDate\":\"2024-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"European Journal of Psychology of Education\",\"FirstCategoryId\":\"102\",\"ListUrlMain\":\"https://doi.org/10.1007/s10212-024-00823-8\",\"RegionNum\":2,\"RegionCategory\":\"心理学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PSYCHOLOGY, EDUCATIONAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Psychology of Education","FirstCategoryId":"102","ListUrlMain":"https://doi.org/10.1007/s10212-024-00823-8","RegionNum":2,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PSYCHOLOGY, EDUCATIONAL","Score":null,"Total":0}
The cognitive foundations of different hierarchical levels of mathematical skills in primary school children: extending the mathematics pathways model
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.
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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