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Abstract
Objective This study examined the relationship between executive functions (EF) and mathematical skills through-out development using a meta-analysis of longitudinal studies.
Method This study included (a) longitudinal studies that (b) reported correlations between EF measures (assessed at Time 1) and mathematics outcomes (assessed at Time 2) in (c) typically developing samples ranging in age from birth to 18 years. Studies were excluded if they were (a) not written in English or Portuguese, (b) aggregated data from typical and atypical populations, or (c) combined data from children and adolescents without distinction. A systematic search was conducted in October 2021 and later updated in 2025 using PsycINFO, SciELO, and PubMed. The risk of publication bias was assessed using funnel plot analysis and Egger's test. A random-effects meta-analysis was performed.
Results Twenty-nine studies involving children and adolescents (n = 104,295; M_age at Time 1 = 5.4 years; M_age at Time 2 = 8.4 years) were included. The overall correlation between EF and mathematics was moderate and statisti-cally significant (r = 0.30, 95% CI [0.24, 0.36]). Among EF components, working memory showed the strongest asso-ciation with mathematical performance (r = 0.43, 95% CI [0.35, 0.50]), followed by cognitive flexibility (r = 0.34, 95% CI [0.27, 0.42]) and inhibitory control (r = 0.21, 95% CI [0.13, 0.29]). Age and study quality did not significantly moderate the relationship between EF and mathematics.
Conclusion The findings suggest that EF, particularly working memory, is a meaningful predictor of mathematical performance across development. These results underscore the importance of early EF assessment in informing interventions designed to prevent math learning difficulties. Despite the low risk of publication bias, the high heterogeneity observed in most analyses suggests the influence of additional moderating variables that warrant further investigation.
Keywords Executive function, Math, Meta-analysis, Longitudinal
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Very important article (open source..click here to read/download) regarding cognitive functioning and working memory capacity and attentional control. For at least 15 years I’ve been monitoring research on the attentional-control working memory complex system (AC-Gwm)…(click here for numerous posts regarding the important of AC-Gwm). I’m convinced that the AC-Gwm complex system is one of the core cognitive efficiency systems that helps us understand general intellectual functioning. It has been found to be important in cognitive functioning and also in various forms of psychopathology.
In Current Directions in Psychological Science
Unfortunately not open access.
In 2022 I published an invited big-picture “thought piece” on a proposed CAMML (cognitive-affective-motivation model of learning) in the Canadian Journal of School Psychology The title wasThe Cognitive-Affective-Motivation Model of Learning (CAMML): Standing on the Shoulders of Giants.
I had hoped that by challenging existing narrow assessment practices in school psychology (SP), and proposing a more whole-child assessment model approach (where cognitive testing would be more limited and selective…not the knee jerk practice of most all referred kids for learning problems being administered a complete intelligence test battery), it would gain traction in some SP circles. From the informal and formal professional media sources I monitor, it has not..at least not yet.
Integrating CAMML aptitude-trait complexes, which emphasize that motivation and SRL constructs are the focal personal investment learning mechanisms, in contemporary SP practice is an aspirational goal. The constraints of regulatory frameworks and the understandable skepticism of disability-specific advocacy groups will make such a paradigm-shift difficult. However, embracing the model of CAMML aptitude complexes may be what SP and education need to better address the complex nuances of individual differences in student learning. Snow's concept of aptitude, if embraced in reborn form as the CAMML framework, could reduce the unbalanced emphasis on intelligence testing in SPs assessment practices. However, the greatest impediment to change may be the inertia of tradition in SP”
I just stumbled across a relatively new video covering the history and several major issues regarding intelligence testing and IQ scores. Two scholars that I respect (Dr. Cecil Reynolds; Dr. Stuart Ritchie) are featured in the video. I did see some spelling errors in the subtitles (Dr. Ian Dearie instead of Dr. Ian Deary; Benet instead of Binet; using capital G when referencing Spearman's concept of general intelligence, which is always noted with an italic font small g; etc) and heard several statements that made me cringe slightly.
Also, it left the impression that fluid and crystallized intelligence (and a lessor extent quantitative ability) are the primary recognized broad cognitive abilities measured by intelligence tests. It did not acknowledge contemporary CHC theory as the consensus taxonomy of human cognitive abilities. Also, it left the impression that IQ tests are "bubble in" multiple choice tests. This may be true for group tests, but it is not the case with individually administered intelligence tests.
Overall, it is a reasonable video to share with others as an introduction, possibly in college courses where the concept of intelligence and IQ testing is being introduced. It did a good job of covering the historical bad uses of IQ tests (e.g., discrimination; cultural bias, eugenics movement, etc.)
The complete video is approximately 35 minutes. It did freeze up for me at the 17 minute mark when it was going to display an ad....but I simply restarted the video and quickly moved to that point and then it continued.