Associations of non-symbolic and symbolic numerical magnitude processing with mathematical competence: a meta-analysis
Associations of non-symbolic and symbolic numerical magnitude processing with mathematical competence: a meta-analysis
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DOI：
10.1111/desc.12372
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发表时间：
2017-05-01
影响因子：
3.7
通讯作者：
De Smedt, Bert
中科院分区：
文献类型：
--
作者：
Schneider, Michael;Beeres, Kassandra;De Smedt, Bert
许多研究已经调查了数字大小比较任务所评估的数字大小处理技能与更广泛的数学能力之间的联系，例如计数、算术或代数。大多数相关性都是积极的，但在强度上存在很大差异。目前尚不清楚这些联系的强度在非符号和符号数量比较任务之间是否存在系统性差异，以及在多大程度上存在系统性差异，也不清楚年龄、数量比较测量或数学能力测量是否是额外的调节因素。我们通过元分析的方法对这些问题进行了研究。文献搜索产生了45篇文章，报告了17201名参与者的284个效应大小。效应大小通过两水平随机效应回归模型进行组合。符号符号的效应大小显著更高(r=.302，95%CI[。243，.361])，而非符号性(r=.241，95%CI[.198，.284])大小比较任务，随着年龄的增长略有下降。溶解率和韦伯分数的相关性比比较熟练程度的替代衡量标准更高。数学能力更多地依赖于大小的处理(即心算和早期数学能力)，比其他能力更高。研究结果支持这样一种观点，即在广泛的任务、测量和数学子域中，量值加工与数学能力之间存在可靠的联系。符号数字大小加工的关联性强于非符号数字大小加工。因此，象征性大小加工可能是学龄儿童和成人诊断筛查工具和干预措施的更有资格的候选对象。
Many studies have investigated the association between numerical magnitude processing skills, as assessed by the numerical magnitude comparison task, and broader mathematical competence, e.g. counting, arithmetic, or algebra. Most correlations were positive but varied considerably in their strengths. It remains unclear whether and to what extent the strength of these associations differs systematically between non-symbolic and symbolic magnitude comparison tasks and whether age, magnitude comparison measures or mathematical competence measures are additional moderators. We investigated these questions by means of a meta-analysis. The literature search yielded 45 articles reporting 284 effect sizes found with 17,201 participants. Effect sizes were combined by means of a two-level random-effects regression model. The effect size was significantly higher for the symbolic (r =.302, 95% CI [. 243,.361]) than for the non-symbolic (r =.241, 95% CI [.198, .284]) magnitude comparison task and decreased very slightly with age. The correlation was higher for solution rates and Weber fractions than for alternative measures of comparison proficiency. It was higher for mathematical competencies that rely more heavily on the processing of magnitudes (i.e. mental arithmetic and early mathematical abilities) than for others. The results support the view that magnitude processing is reliably associated with mathematical competence over the lifespan in a wide range of tasks, measures and mathematical subdomains. The association is stronger for symbolic than for non-symbolic numerical magnitude processing. So symbolic magnitude processing might be a more eligible candidate to be targeted by diagnostic screening instruments and interventions for school-aged children and for adults.