The relationship between executive functions (EF) and academic achievement is well-established, but leveraging this insight to improve educational outcomes remains elusive. Here, we propose a framework for relating the role of specific EF on specific precursor skills that support later academic learning. Specifically, we hypothesize that executive functions contribute to general math skills both directly – supporting the online execution of problem solving strategies – and indirectly – supporting the acquisition of precursor mathematical content. We test this hypothesis by examining the contribution of inhibitory control on processing rational numbers pairs which conflict with individual’s prior whole number knowledge and on general math knowledge. In 97 college students (79 female, age = 20.63 years), we collected three measures of EF: working memory (backwards spatial span), inhibition (color-word Stroop) and cognitive flexibility (task switching), and timed and untimed standardized measures of math achievement. Our target precursor skill was a decimals comparison task where correct responses were inconsistent with prior whole number knowledge (e.g. 0.27 vs. 0.9). Participants performed worse on these trials relative to the consistent decimals pairs (e.g. 0.2 vs. 0.87). Individual differences on incongruent Stroop trials predicted performance on inconsistent decimal comparisons, which in turn predicted performance on both timed and untimed measures of math achievement. With respect to relating inhibitory control to math achievement, incongruent Stroop performance was an independent predictor of untimed calculation skills after accounting for age, working memory and cognitive flexibility. Finally, we found that inconsistent decimals performance partially mediated the relationship between inhibition and untimed math achievement, consistent with the hypothesis that mathematical precursor skills can explain the relationships between executive functions and academic outcomes, making them promising targets for intervention.
Linking inhibitory control to math achievement via comparison of conflicting decimal numbers
