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分组化反映了从童年到青少年时期数学认知的概念发展以及数学成绩的不平等。

Groupitizing reflects conceptual developments in math cognition and inequities in math achievement from childhood through adolescence.

作者信息

Guillaume Mathieu, Roy Ethan, Van Rinsveld Amandine, Starkey Gillian S, Uncapher Melina R, McCandliss Bruce D

机构信息

Graduate School of Education, Stanford University, Stanford, California, USA.

Center for Psychology, Goucher College, Baltimore, Maryland, USA.

出版信息

Child Dev. 2023 Mar;94(2):335-347. doi: 10.1111/cdev.13859. Epub 2022 Dec 9.

Abstract

Understanding the cognitive processes central to mathematical development is crucial to addressing systemic inequities in math achievement. We investigate the "Groupitizing" ability in 1209 third to eighth graders (mean age at first timepoint = 10.48, 586 girls, 39.16% Asian, 28.88% Hispanic/Latino, 18.51% White), a process that captures the ability to use grouping cues to access the exact value of a set. Groupitizing improves each year from late childhood to early adolescence (d = 3.29), is a central predictor of math achievement (beta weight = .30), is linked to conceptual processes in mathematics (minimum d = 0.69), and helps explain the dynamic between the ongoing development of non-symbolic number concepts, systemic educational inequities in school associated with SES, and mathematics achievement (minimum beta weight = .11) in ways that explicit symbolic measures may miss.

摘要

理解数学发展核心的认知过程对于解决数学成绩方面的系统性不平等至关重要。我们对1209名三至八年级学生(首次测量时的平均年龄 = 10.48岁,586名女生,39.16%为亚裔,28.88%为西班牙裔/拉丁裔,18.51%为白人)的“分组化”能力进行了调查,这一能力体现了利用分组线索获取一组确切数量的能力。从童年晚期到青春期早期,分组化能力逐年提高(d = 3.29),是数学成绩的核心预测指标(β权重 = 0.30),与数学概念过程相关(最小d = 0.69),并且以明确的符号测量可能遗漏的方式,有助于解释非符号数字概念的持续发展、学校中与社会经济地位相关的系统性教育不平等以及数学成绩之间的动态关系(最小β权重 = 0.11)。

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