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Executive Functioning as a Predictor of Children's Mathematics Ability: Inhibition, Switching, and Working Memory
Abstract
Children's mathematical skills were considered in relation to executive functions. Using multiple measures--including the Wisconsin Card Sorting Task (WCST), dual-task performance, Stroop task, and counting span-it was found that mathematical ability was significantly correlated with all measures of executive functioning, with the exception of dual-task performance. Furthermore, regression analyses revealed that each executive function measure predicted unique variance in mathematics ability. These results are discussed in terms of a central executive with diverse functions (Shallice & Burgess, 1996) and with recent evidence from Miyake, et al. (2000) showing the unity and diversity among executive functions. It is proposed that the particular difficulties for children of lower mathematical ability are lack of inhibition and poor working memory, which result in problems with switching and evaluation of new strategies for dealing with a particular task. The practical and theoretical implications of these results are discussed, along with suggestions for task changes and longitudinal studies that would clarify theoretical and developmental issues related to executive functioning.
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“An early demonstration of this relation was seen in a correlational study in which measures of working memory and the flexible shifting of attention were shown to independently predict early mathematics achievement over and above measures of reading ability and IQ”
From School Readiness and Self-Regulation: A Developmental Psychobiological Approach (2015) · cites this paper as Bull & Scerif 2001
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“Children Õ s abilities to store and manipulate information in short-term memory are closely associated with scholastic attainments over the school years.”
From A structural analysis of working memory and related cognitive skills in young children (2004) · cites this paper as Bull & Scerif, 2001
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“, inhibition and working memory) plays in these areas [20].”
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“Such a relation is also evident in typically developing children, as WM has been found to predict future performance in both reading and mathematics (Bull and Scerif, 2001; Gathercole et al., 2003; Alloway and Alloway, 2010).”
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“…has shown that academic achievement in typically developing (TD) children is strongly associated with working memory (Alloway & Passolunghi, 2011; Bull & Scerif, 2001; Meyer, Salimpoor, Wu, Geary, & Menon, 2010), with visuospatial and verbal working memory predicting math and reading…”
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“Another study of children in a U.K. early primary school found that lower mathematical ability is correlated with the inability to inhibit a learned strategy and instead switch to the more appropriate strategy (Bull & Scerif, 2001).”
BackgroundEarly Childhood as a Foundation for Civic Engagement
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Predicting Age-Related Dual-Task Effects With Individual Differences on Neuropsychological Tests.
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“Bull and Scerif (2001) reported that with the exception of a small correlation with one performance index of the Stroop task, dual-task performance did not correlate with a number of neuropsychological tests or with mathematics ability in school children.”
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“There is now extensive evidence indicating that executive functions play an important role in learning during childhood (e.g. Bull and Scerif 2001; McLean and Hitch 1999).”
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“…working memory, according to Baddeley’s model, relate, in varying degrees, to reading development and mathematical ability in children (Bull & Scerif, 2001; Hitch & McAuley, 1991; Hitch et al., 2001; Leather & Henry, 1994; Lehto, 1995; Passolunghi & Siegel, 2001; Siegel & Ryan, 1989;…”
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“The dependent variable (i.e., the interference score) is the time difference between the baseline (Trial 2; color bars) and the interference condition (Trial 3; e.g., Bull & Scerif, 2001).”
BackgroundDekker, M. C., Ziermans, T. B., Spruijt, A. M., & Swaab, H. (2017) · Frontiers in Psychology · doi:10.3389/fpsyg.2017.00048 · Cited by 90
“Some studies did indeed show that EF shared a lot of variance with IQ in predicting school achievement (e.g., Bull and Scerif, 2001; Espy, 2004).”
BackgroundWorking Memory After Mild, Moderate, or Severe Childhood Closed Head Injury
Roncadin, C., Guger, S. L., Archibald, J., Barnes, M., & Dennis, M. (2004) · Developmental Neuropsychology · doi:10.1080/87565641.2004.9651920 · Cited by 76
“Poor WM often coexists with low achievement or specific learning disabilities (Bull & Scerif, 2001; Gathercole & Pickering, 2000; Montgomery, 1995; Passolunghi & Siegel, 2001; Swanson, 1993).”
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“The evidence here is mixed, with some studies finding a stronger relationship for mathematical content (e.g., Bull & Scerif, 2001) although meta-analyses find no moderating effect of domain-specificity for working memory (Peng et al., 2016).”
ResultNumber-specific and general cognitive markers of preschoolers' math ability profiles.
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A comparison of working memory profiles in children with ADHD and DCD
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“Working memory is also linked to math outcomes: Low working memory scores are closely related to poor performance on arithmetic word problems (Swanson & Sachse-Lee, 2001) and poor computational skills (Bull & Scerif, 2001; Geary, Hoard, & Hamson, 1999).”
BackgroundNutley, S. B., & Söderqvist, S. (2017) · Frontiers in Psychology · doi:10.3389/fpsyg.2017.00069 · Cited by 80
“Rather, a good fundamental WMC will allow for the learning and development of new skills and strategies (Bull et al., 2001) but once these are established WM will play a different role in performance (Imbo and Vandierendonck, 2007).”
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“Working memory has been found to be linked with language, literacy, and mathematical skills (Adams, Bourke, & Willis, 1999; Bull & Scerif, 2001; Gathercole, Alloway, Willis, & Adams, 2005; Kail, 2003).”
BackgroundHillman, C. H., Pontifex, M. B., Motl, R. W., O’Leary, K. C., Johnson, C. R., Scudder, M. R., Raine, L. B., & Castelli, D. M. (2011) · Developmental Cognitive Neuroscience · doi:10.1016/j.dcn.2011.07.004 · Cited by 78
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BackgroundThe role of goal representation in preschoolers’ flexibility and inhibition
Blaye, A., & Chevalier, N. (2010) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2010.09.006 · Cited by 81
“…acquisitions occurring in domains such as theory of mind (Carlson & Moses, 2001; Müller, Zelazo, & Imrisek, 2005), reading, and mathematics (e.g., Bull & Scerif, 2001; Cartwright, 2002; Van der Sluis, de Jong, & van der Leij, 2007), and it is related to attention in the classroom (Friedman et…”
BackgroundInfluence of Self-Regulation on the Development of Children’s Number Sense
İvrendi̇, A. (2011) · Early Childhood Education Journal · doi:10.1007/s10643-011-0462-0 · Cited by 69
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“…procedures (e.g., van der Sluis et al., 2007), inhibiting prepotent but task-irrelevant information, for example, when only paying attention to parts of information at one time (McLean & Hitch, 1999) and inhibiting automatized strategies in favor of more adequate new ones (Bull & Scerif, 2001).”
BackgroundRibner, A., Fitzpatrick, C., & Blair, C. (2017) · Journal of Developmental & Behavioral Pediatrics · doi:10.1097/dbp.0000000000000425 · Cited by 68
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“These other cognitive abilities include working memory (e.g., Ardila & Rosselli, 2002; Ashcraft, Donley, Halas, & Vakali, 1992; Bull & Scerif, 2001; Hope & Sherrill, 1987; Hulme & Mackenzie, 1992), spatial cognition (e.g., Dehaene, Piazza, Pinel, & Cohen, 2003; Rourke, 1993), and linguistic…”
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Pagani, L. S., Fitzpatrick, C., & Parent, S. (2012) · Research on Child and Adolescent Psychopathology · doi:10.1007/s10802-011-9605-4 · Cited by 67
“correlates might also hinder later learning through their negative effect on emerging literacy and numeracy skills (Bull and Scerif 2001; Greenfield Spira and Fischel 2005).”
BackgroundFilippetti, V. A., & Richaud, M. C. (2016) · Child Neuropsychology · doi:10.1080/09297049.2016.1199665 · Cited by 68
“…Holmes & Adams, 2006), shifting (Andersson, 2008; Bull & Scerif, 2001; Rosselli, Ardila, Matute, & Inozemtseva, 2009; van der Sluis, de Jong, & van der Leij, 2004; Yeniad, Malda, Mesman, van Ijzendoorn, & Pieper, 2013), and inhibition (Bull & Scerif, 2001; St Clair-Thompson & Gathercole, 2006).”
BackgroundMethodInfluentialExecutive functions and approaches to learning in predicting school readiness
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“For instance, Bull and Scerif (2001) observed a statistically significant relation between general mathematics scores and inhibition measured by a numerical Stroop test in a sample of 3rd grade children, even when controlling for effects of IQ and reading ability.”
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“…of social rules and moral standards (Eisenberg, 2000; Kochanska, 2002; Kochanska, Coy, & Murray, 2001) and EF is linked to broader cognitive functioning and school achievement (e.g., Bull & Scerif, 2001), it is important to examine the impact of social factors on its development in children.”
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“Wisconsin Card Sorting Task) and difficulties maintaining information in working memory (5).”
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Executive Function in Education
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“…& Dub e, 2013) as well as in counting tasks when counting on from the larger addend instead of counting on from the first addend (e.g. Cragg&Gilmore, 2014) and inmultiplication tasks when suppressing answers to related but incorrect number facts (see also Bull & Scerif, 2001; Espy et al., 2004).”
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“1999), literacy (Gathercole and Baddeley 1997), and arithmetic (Bull and Scerif 2001).”
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“For example, childhood EFs predict school readiness and success in math and reading throughout all school years from kindergarten through university Frontiers in Cellular Neuroscience www.frontiersin.org October 2013 | Volume 7 | Article 180 | 1 CELLULAR NEUROSCIENCE better than does IQ, even when controlling for SES…”
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“…memory tasks are characteristic of students failing to progress normally in the areas of reading (De Jong, 1998; Swanson, 1994), mathematics (Bull & Scerif, 2001; Mayringer & Wimmer, 2000; Passolunghi & Siegel, 2001; Siegel & Ryan, 1989), and language comprehension (Nation, Adams,…”
BackgroundMemory profiles in children with mild intellectual disabilities: Strengths and weaknesses
van der Molen, M. J., Luit, J. E. H. V., Jongmans, M. J., & van der Molen, M. W. (2009) · Research in Developmental Disabilities · doi:10.1016/j.ridd.2009.04.005 · Cited by 75
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“A (numbers) Stroop test [14], and backward digit span (Wechsler and Psychological Corporation.”
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“In contrast to the once-dominant Piagetian paradigm, levels of cognitive ability previously thought to be unattainable until middle childhood have been shown (Blair & Razza, 2007; Bull & Scerif, 2001; Espy et al., 2004) to be present in infancy and early childhood.”
Task-Oriented Kindergarten Behavior Pays Off in Later Childhood
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Sleep, executive functioning and behaviour in children and adolescents with type 1 diabetes
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“Perfect’s findings suggest that sleep problems impact on academic progress in childrenwith T1D, while the present findings suggest that this may be explained by the impact of disturbed sleep on executive functioning, which itself is well known to impact academic progress [65–67].”
BackgroundNeuroscientific Insights: Attention, Working Memory, and Inhibitory Control
Raver, C. C., & Blair, C. (2016) · The Future of Children · doi:10.1353/foc.2016.0014 · Cited by 76
Number sense in kindergarten children: Factor structure and working memory predictors
den Bos, I. F., Kroesbergen, E. H., & Luit, J. E. H. V. (2014) · Learning and Individual Differences · doi:10.1016/j.lindif.2014.05.003 · Cited by 62
Working memory abilities in children with special educational needs
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“As working memory is involved in many everyday tasks such as reading, comprehension (Chiappe et al., 2000) and problem solving (Bull & Scerif, 2001), a deficit in this area may reduce a client’s ability to engage with these kinds of therapy, particularly CBT skills such as thought challenging and…”
BackgroundYang, X., Chung, K. K. H., & McBride, C. A. (2019) · Educational Psychology · doi:10.1080/01443410.2018.1546831 · Cited by 60
“Bull and Scerif (2001) proposed that children who were poor in inhibition and working memory might also show difficulty in dealing with dual tasks such as shifting.”
BackgroundGomez, R., Vance, A., & Watson, S. D. (2016) · Frontiers in Psychology · doi:10.3389/fpsyg.2016.00737 · Cited by 55
“However, as low reading ability (Gathercole et al., 2006; Alloway et al., 2009; Alloway and Alloway, 2010) and arithmetic ability (Bull and Scerif, 2001; Swanson and Sachse-Lee, 2001) have been linked to poor WM, and as WM defects have been strongly associated with ADHD (Martinussen et al., 2005;…”
BackgroundCognitive dimensions of learning in children with problems in attention, learning, and memory.
Holmes, J., Guy, J., Kievit, R., Bryant, A., Mareva, S., CALM Team, & Gathercole, S. E. (2020) · Journal of Educational Psychology · doi:10.1037/edu0000644 · Cited by 67
On the working memory of humans and great apes: Strikingly similar or remarkably different?
Read, D., Manrique, H. M., & WALKER, M. J. (2021) · Neuroscience & Biobehavioral Reviews · doi:10.1016/j.neubiorev.2021.12.019 · Cited by 58
Sawyer, A., Chittleborough, C., Mittinty, M., Miller-Lewis, L., Sawyer, M., Sullivan, T., & Lynch, J. (2015) · Child: Care, Health and Development · doi:10.1111/cch.12208 · Cited by 67
Cuevas, K., Hubble, M., & Bell, M. A. (2012) · Early Education and Development · doi:10.1080/10409289.2011.611441 · Cited by 57
“…children’s executive function skills are related to concurrent and future reading and mathematics performance (Blair & Razza, 2007; Bull, Espy, & Wiebe, 2008; Bull & Scerif, 2001; Clark, Pritchard, & Woodward, 2010; Espy et al., 2004; Mazzocco & Kover, 2007; St. Clair-Thompson & Gathercole, 2006).”
Training Theory of Mind and Executive Control: A Tool for Improving School Achievement?
Kloo, D., & Perner, J. (2008) · Mind Brain and Education · doi:10.1111/j.1751-228x.2008.00042.x · Cited by 56
Lonigan, C. J., Lerner, M. D., Goodrich, J. M., Farrington, A. L., & Allan, D. M. (2015) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2015.11.003 · Cited by 63
Duncan, R. J., McClelland, M. M., & Acock, A. C. (2017) · Journal of Applied Developmental Psychology · doi:10.1016/j.appdev.2017.01.004 · Cited by 68
Ang, S. Y., Lee, K., Cheam, F., Poon, K., & Koh, J. (2015) · Journal of Applied Research in Memory and Cognition · doi:10.1016/j.jarmac.2015.03.001 · Cited by 53
“…long-term maintenance, and generalizability to non-trained tasks Working memory (WM) and updating predict children’s performances in reading (e.g., Gathercole & Pickering, 2000) and mathematics (e.g., Bull & Scerif, 2001; Lee, Pe, Ang, & Stankov, 2009; St Clair-Thompson & Gathercole, 2006).”
BackgroundDo children with attention-deficit/hyperactivity disorder (ADHD) have set shifting deficits?
Irwin, L. N., Kofler, M. J., Soto, E. F., & Groves, N. B. (2019) · Neuropsychology · doi:10.1037/neu0000546 · Cited by 54
“For example, set shifting abilities predict successful academic performance in math, reading, and language acquisition (Bull & Scerif, 2001; Espy et al., 2004; Roberts, Martel, & Nigg, 2017; St. Clair-Thompson & Gathercole, 2006; Yeniad, Malda, Mesman, van IJzendoorn, & Pieper, 2013).”
Reading minds and reading texts: Evidence for independent and specific associations
Lecce, S., Bianco, F., & Hughes, C. (2021) · Cognitive Development · doi:10.1016/j.cogdev.2021.101010 · Cited by 58
Inhibitory control in mathematical thinking, learning and problem solving: a survey
Dooren, W. V., & Inglis, M. (2015) · ZDM · doi:10.1007/s11858-015-0715-2 · Cited by 56
Neural Correlates of Math Gains Vary Depending on Parental Socioeconomic Status (SES)
Demir‐Lira, Ö. E., Prado, J., & Booth, J. R. (2016) · Frontiers in Psychology · doi:10.3389/fpsyg.2016.00892 · Cited by 55
“Left IFG is also implicated in executive control, which is strongly associated with both SES and arithmetic skill (Bull and Scerif, 2001; Badre and Wagner, 2007; Hackman and Farah, 2009).”
BackgroundWade, M., Jenkins, J. M., Venkadasalam, V. P., Binnoon-Erez, N., & Ganea, P. A. (2018) · Cognitive Development · doi:10.1016/j.cogdev.2018.01.005 · Cited by 63
“…this proposal, IC has repeatedly been found to predict early academic skills using an array of assessment methods (Allan & Lonigan, 2011; Bull & Scerif, 2001; Espy et al., 2004; Swanson, Jerman, & Zheng, 2008; Valiente, Lemery-Chalfant, & Swanson, 2010; Welsh, Nix, Blair, Bierman, & Nelson,…”
MethodMaybery, M., & Do, N. (2003) · Educational & Child Psychology · doi:10.53841/bpsecp.2003.20.3.77 · Cited by 61
Swanson, H. L. (2011) · Child Neuropsychology · doi:10.1080/09297049.2011.589377 · Cited by 53
“Their overall results were consistent with previous studies that have attributed MD to WM deficits (e.g., Bull & Scerif, 2001; Geary, 2003; Swanson, 1993; Mammarella et al., 2010).”
Resultvan Dijk, M. L., de Groot, R. H. M., Savelberg, H. H. C. M., Acker, F. V., & Kirschner, P. A. (2014) · Journal of Sport and Exercise Psychology · doi:10.1123/jsep.2014-0014 · Cited by 65
Lind, R. R., Beck, M. M., Wikman, J., Malarski, K., Krustrup, P., Lundbye‐Jensen, J., & Geertsen, S. S. (2019) · Scandinavian Journal of Medicine & Science in Sports · doi:10.1111/sms.13485 · Cited by 52
An envisioned bridge: Schooling as a neurocognitive developmental institution
Baker, D. P., Salinas, D., & Eslinger, P. J. (2011) · Developmental Cognitive Neuroscience · doi:10.1016/j.dcn.2011.12.001 · Cited by 57
Executive functions of children born very preterm—deficit or delay?
Ritter, B. C., Nelle, M., Perrig, W. J., Steinlin, M. I., & Everts, R. (2012) · European Journal of Pediatrics · doi:10.1007/s00431-012-1906-2 · Cited by 53
“EF have shown to be crucial for academic achievement such as reading and writing competence [1] and mathematics [9].”
BackgroundWords, shape, visual search and visual working memory in 3‐year‐old children
Vales, C., & Smith, L. B. (2014) · Developmental Science · doi:10.1111/desc.12179 · Cited by 52
Inhibitory control in preschool predicts early math skills in first grade
Ng, F. F., Tamis‐LeMonda, C. S., Yoshikawa, H., & Sze, I. N. (2014) · International Journal of Behavioral Development · doi:10.1177/0165025414538558 · Cited by 59
“…school years, there is also evidence that each of the three components of EF contributed to children’s math ability after adjusting for intellectual and reading abilities, although working memory appeared to be the unique predictor of math ability among these older children (Bull & Scerif, 2001).”
BackgroundGeorgiou, G. K., & Das, J. P. (2015) · Research in Developmental Disabilities · doi:10.1016/j.ridd.2015.12.001 · Cited by 67
Taylor, R., Fealy, S. M., Bisquera, A., Smith, R., Collins, C. E., Evans, T., & Hure, A. J. (2017) · Nutrients · doi:10.3390/nu9111265 · Cited by 53
Lind, R. R., Geertsen, S. S., Ørntoft, C., Madsen, M. F., Larsen, M. N., Dvořák, J., Ritz, C., & Krustrup, P. (2017) · European Journal of Sport Science · doi:10.1080/17461391.2017.1394369 · Cited by 52
“…of working memory is proposed to be the central executive (executive functions) (Baddeley, 2010), which is responsible for top-down problem solving (Miyake et al., 2000) and is suggested as a predictor of mathematical ability (Bull & Scerif, 2001) and academic achievement (Alloway & Alloway, 2010).”
BackgroundJansen, B. R. J., Lange, E. D., & van der Molen, M. J. (2013) · Research in Developmental Disabilities · doi:10.1016/j.ridd.2013.02.022 · Cited by 59
Metadata
- Authors
- Bull, R., & Scerif, G.
- Affiliations
- University of Aberdeen (GB)
- Venue
- Developmental Neuropsychology
- Publisher
- Informa UK Limited
- Published
- 2001-06
- Volume
- 19
- Issue
- 3
- Pages
- 273-293
- ISSN
- 1532-6942 (ISSN-L)
- 8756-5641
- OpenAlex
- W2142887785
- Semantic Scholar
- 813c3c045849f82cac2db2f26cee0ca306349f28
- Cited by
- 1,501
- References
- 67
- Citations by year
- 2026: 32 · 2025: 45 · 2024: 46 · 2023: 84 · 2022: 82 · 2021: 64 · 2020: 78 · 2019: 96 · 2018: 112 · 2017: 101 · 2016: 81 · 2015: 76 · 2014: 103 · 2013: 97 · 2012: 80
- FWCI
- 13.01
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Developmental Neuropsychology (publishedVersion)
- PubMed (publishedVersion)
- Funders
- Nuffield Foundation
- Topics
- Social Sciences › Psychology › Developmental and Educational Psychology › Cognitive and developmental aspects of mathematical skills
- Social Sciences › Psychology › Neuropsychology and Physiological Psychology › Developmental and Educational Neuropsychology
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Cognitive Abilities and Testing
- Keywords
- executive function, mathematical ability, children, inhibition, cognitive flexibility, working memory, central executive, dual-task performance, Stroop task, Wisconsin Card Sorting Test, strategy evaluation
- MeSH terms
- Child, Cognition, Female, Humans, Inhibition, Psychological, Male, Mathematics, Memory
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