Mathematics Education Centre, Loughborough University, Loughborough, Leicestershire, UK.
Section of Educational Neuroscience, and LEARN! Research Institute, Faculty of Behavioral and Movement Sciences, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands.
Dev Sci. 2018 Nov;21(6):e12671. doi: 10.1111/desc.12671. Epub 2018 Apr 24.
Research has identified various domain-general and domain-specific cognitive abilities as predictors of children's individual differences in mathematics achievement. However, research into the predictors of children's individual growth rates, namely between-person differences in within-person change in mathematics achievement is scarce. We assessed 334 children's domain-general and mathematics-specific early cognitive abilities and their general mathematics achievement longitudinally across four time-points within the first and second grades of primary school. As expected, a constellation of multiple cognitive abilities contributed to the children's starting level of mathematical success. Specifically, latent growth modeling revealed that WM abilities, IQ, counting skills, nonsymbolic and symbolic approximate arithmetic and comparison skills explained individual differences in the children's initial status on a curriculum-based general mathematics achievement test. Surprisingly, however, only one out of all the assessed cognitive abilities was a unique predictor of the children's individual growth rates in mathematics achievement: their performance in the symbolic approximate addition task. In this task, children were asked to estimate the sum of two large numbers and decide if this estimated sum was smaller or larger compared to a third number. Our findings demonstrate the importance of multiple domain-general and mathematics-specific cognitive skills for identifying children at risk of struggling with mathematics and highlight the significance of early approximate arithmetic skills for the development of one's mathematical success. We argue the need for more research focus on explaining children's individual growth rates in mathematics achievement.
研究已经确定了各种领域一般性和领域特殊性认知能力,作为儿童数学成就个体差异的预测指标。然而,对于儿童个体增长率(即数学成就个体内变化的个体间差异)的预测因素的研究却很少。我们在小学一、二年级的四个时间点上,对 334 名儿童的领域一般性和数学特定的早期认知能力及其一般数学成就进行了纵向评估。正如预期的那样,多种认知能力的组合对儿童的数学成功起点水平做出了贡献。具体来说,潜在增长模型显示,工作记忆能力、智商、计数技能、非符号和符号近似算术以及比较技能解释了儿童在基于课程的一般数学成就测试中的初始状态的个体差异。然而,令人惊讶的是,在所有评估的认知能力中,只有一种能力是儿童数学成就个体增长率的唯一预测因素:他们在符号近似加法任务中的表现。在这个任务中,要求儿童估计两个大数的和,并判断这个估计的和与第三个数相比是大还是小。我们的研究结果表明,多个领域一般性和数学特定的认知技能对于识别数学学习困难的儿童非常重要,并强调了早期近似算术技能对数学成功发展的重要性。我们认为,需要更多的研究来解释儿童在数学成就方面的个体增长率。