The relationships among working memory, inhibitory control, and mathematical skills in primary school children: Analogical reasoning matters

The current study examined the mediating role of analogical reasoning in the relationships among working memory, inhibitory control, and children’s mathematical skills. Two hundred fifty-one students from first to third grades were tested on visual-spatial working memory, verbal working memory, inhibitory control, analogical reasoning, and different mathematical skills (i.e., symbolic number processing and mathematical reasoning). After controlling for age and gender, analogical reasoning significantly contributed to both symbolic number processing and mathematical reasoning. The relationship between verbal working memory and symbolic number processing, as well as the relationship between verbal working memory and mathematical reasoning, were significantly mediated by analogical reasoning. The exploratory analyses further revealed that there was no significant age difference in the roles of analogical reasoning. These results highlight the important role of analogical reasoning in explaining the relationships among working memory, inhibitory control, and children’s different mathematical abilities. The findings also indicate that analogical reasoning, the ability of identifying and processing critical relational information, may be a potential avenue to improve children’s mathematical skills.