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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
In the citing paper
“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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“Bull and Scerif (2001) found that after controlling for intelligence and reading ability, in addition to inhibition efficiency, children’s mathematical ability was also related to their perseveration and working memory span.”
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“…that working memory is related to math achievement, albeit the studies operationalize working memory and mathematics in a variety of ways (Bull & Scerif, 2001; Floyd et al., 2003; Gathercole et al., 2004; Geary, 1993; Hale et al., 2008; McGrew & Wendling, in press; Osmon et al., 2006;…”
BackgroundGomez, D. M., Jiménez, A., Bobadilla, R., Reyes, C., & Dartnell, P. (2017) · ZDM · doi:10.1007/s11858-017-0845-9 · Cited by 19
“Our data adds to the wealth of research linking inhibitory control and general math achievement (e.g. Blair and Razza 2007; Bull and Scerif 2001; Clark et al. 2010; Espy et al. 2004; Gilmore et al. 2013; McClelland et al. 2014; St Clair-Thompson and Gathercole 2006), as stronger inhibition was associated to higher sta…”
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“There is much evidence for significant relationships between executive functions and arithmetic (Bull and Scerif, 2001; De Smedt et al., 2009; De Weerdt et al., 2013; Bull and Lee, 2014; Peng et al., 2016; Bellon et al., 2019).”
BackgroundZhu, X., Tang, Y., Lu, J., Song, M., Yang, C., & Zhao, X. (2024) · Educational Psychology Review · doi:10.1007/s10648-024-09976-w · Cited by 24
“…2013), and their close relationship with children’s mathematical ability has been confirmed by many cross-sectional and longitudinal studies (e.g., Ahmed et al., 2019; Bull & Scerif, 2001; Georgiou et al., 2020; Kahl et al., 2021; Magalhães et al., 2020; Swanson et al., 2020; Yang et al., 2019).”
InfluentialXu, Z., Wang, L., Liu, D., Chen, Y., & Tao, L. (2020) · Frontiers in Psychology · doi:10.3389/fpsyg.2020.01899 · Cited by 19
“Interestingly, this developmental increase of VWM capacity disappeared when participants were asked to count using unfamiliar terms, which reduced the processing efficiency in the counting task (e.g., Case et al., 1982; Bull and Scerif, 2001).”
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“However, the majority of previous studies have tried to explain individual differences in math ability by investigating the impact of specific cognitive skills such as working memory, response inhibition, and task switching (Bull and Scerif, 2001; Raghubar et al., 2010; Wang et al., 2015).”
BackgroundShroff, D. M., Dunn, N. C., Green, C. D., Breaux, R., Becker, S. P., & Langberg, J. M. (2023) · Development and Psychopathology · doi:10.1017/s0954579423000743 · Cited by 19
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“E-mail: jrroot@fsu.edu & Scerif, 2001).”
Ergometer cycling enhances executive control in task switching
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“Beyond these basic research interests, an increasing number of studies demonstrated the relevance of executive control processes (including shifting and inhibition in particular) to academic achievement (e.g. Bull & Scerif, 2001; Clark, Pritchard, & Woodward, 2010; Kieffer, Vukovic, & Berry, 2013).”
BackgroundThe neuropsychological function of children with achondroplasia
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“It has been suggested that executive functioning, includingworking memory, and attention difficulties may partially account for poor mathematical performance in typically developing children [Bull and Scerif, 2001; Mazzocco and Kover, 2007].”
BackgroundPredicting reading and mathematics from neural activity for feedback learning.
Peters, S., van der Meulen, M., Zanolie, K., & Crone, E. A. (2016) · Developmental Psychology · doi:10.1037/dev0000234 · Cited by 18
Updating and Not Shifting Predicts Learning Performance in Young and Middle‐Aged Adults
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“…cognition and learning in children and adolescents in traditional education finding executive functioning predictive for school performance or academic achievement, respectively (e.g., Best, Miller, & Naglieri, 2011; Bull & Scerif, 2001; Roebers et al., 2014; St Clair-Thompson & Gathercole, 2006).”
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“Bull and Scerif’s [30] study reported a significant relationship between behavioral measures of attention shifting, working memory, and inhibitionand performance-based math measures.”
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“…important for purposeful, goal-directed behavior that includes inhibitory control, interference control, WM, and cognitive flexibility (Diamond, 2013; Lehto et al., 2003), which are known to predict mathematical outcomes (Bull and Scerif, 2001) and impaired in DD (Rubinsten and Henik, 2009).”
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“As such, this task serves as an index of working memory and has been shown to be a useful predictor of school performance, including children's mathematical ability (Bull and Sherif, 2001).”
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“For any child, one of the key components in mathematical achievement is cognitive ability (Bull & Scerif, 2001).”
BackgroundTaha, H. Y. (2017) · Frontiers in Psychology · doi:10.3389/fpsyg.2017.00793 · Cited by 19
“Alongside, previous studies reported that poor EF was found to be correlated with different academic learning disabilities like Dyslexia (Helland and Asbjørnsen, 2000; Reiter et al., 2005) and mathematical learning disorders (Bull and Scerif, 2001; Toll et al., 2011).”
BackgroundFernández-Abella, R., Peralbo, M., Durán-Bouza, M., Brenlla-Blanco, J.-C., & García-Fernández, M. (2018) · Revista de Psicodidáctica · doi:10.1016/j.psicod.2018.09.002 · Cited by 19
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“The ability of switching between tasks or strategies, as well as the low amount of interference from irrelevant information could be considered as indicators of high mathematical skills [34].”
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Dowker, A. (2020) · Research in Developmental Disabilities · doi:10.1016/j.ridd.2020.103778 · Cited by 21
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“Both EF and ToM seem to predict academic success: they are related to mathematics and literacy (Bull and Scerif, 2001; Gumora and Arsenio, 2002; St Clair-Thompson and Gathercole, 2006; Blair and Razza, 2007; Protopapas et al., 2007; Blair and Diamond, 2008; Monette et al., 2011; Shaul and Schwartz,…”
BackgroundImproving short-term and working memory: Methods of memory training
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“Learning via feedback is often assessed with the Wisconsin Card Sorting test (WCST; e.g., Rosselli and Ardila, 1993; Riccio et al., 1994; Bull et al., 1999; Bull and Scerif, 2001).”
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“Specifically, academic grades of math and language were included in the analyses due to the paramount role that executive functions play on these areas of knowledge (Bull and Scerif 2001).”
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“Previous studies have shown that selfregulation skills have a positive association with academic achievement independent of children’s intelligence (Bull & Scerif 2001; Valiente et al. 2008; Zhou et al. 2010; Moffitt et al. 2011).”
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“…neuropsychological task performance of general samples of children and adolescents to performance on standardized testing across academic subjects (Latzman, Elkovitch, Young, & Clark, 2010; Waber et al., 2006) and to competence in specific academic skills (Bull & Scerif, 2001; Hooper et al., 2002).”
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“…suggested by some authors that the difficulties in calculation observed in DD might be more related to impaired general executive functions such as attention, working/long-term memory and inhibition rather than to conceptual knowledge of number and arithmetic (Bull and Scerif, 2001; Geary, 2004).”
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“…(e.g. adding instead of subtracting/reading a word or sounding out the letters) and evaluating which strategy to employ to solve a given problem (e.g. whether a numeracy problem requires addition or subtraction/sounding out the letters or matching the word to a similar word) (Bull & Scerif, 2001).”
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“Lee, 2014; Bull & Scerif, 2001; Bull et al., 2008; D’Amico & Guarnera, 2005).”
BackgroundInfluentialKanevski, M., Booth, J. N., Oldridge, J., McDougal, E., Stewart, T. M., McGeown, S. P., & Rhodes, S. (2021) · Child Neuropsychology · doi:10.1080/09297049.2021.1985444 · Cited by 17
“…different problem steps, operations (e.g., addition and subtraction), and notations (e.g., verbally presented digits and written Arabic symbols; Robinson & Dubé, 2013; Siegeler & Araya, 2005), although the evidence for its role is mixed (Bull & Scerif, 2001; Clark et al., 2010; Cragg et al., 2017).”
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Chen, L., & Yeung, W. J. (2024) · Applied Developmental Science · doi:10.1080/10888691.2024.2307366 · Cited by 16
“Working memory has been a robust predictor of academic achievement across children from Western and Eastern cultures (Ahmed et al., 2019; Blair et al., 2008; Bull & Lee, 2014; Bull & Scerif, 2001; K. Lee et al., 2009, 2012).”
Cognitive anosognosia and behavioral changes in probable Alzheimer's disease patients
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“Las pruebas de Conteo, por ejemplo, poseen mayor capacidad para discriminar entre niños con y sin dificultades matemáticas que las pruebas de dígitos, más tradicionales (Wu et al., 2008).”
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“It is well established that working memory plays an important role in learning during childhood (e.g., Bull & Scerif, 2001; Gathercole & Pickering, 2000; Gathercole, Pickering, Knight, & Stegmann, 2004; Hitch, Towse, & Hutton, 2001; Jarvis & Gathercole, 2003; St ClairThompson & Gathercole, 2006).”
BackgroundPrimed to be inflexible: the influence of set size on cognitive flexibility during childhood
FitzGibbon, L., Cragg, L., & Carroll, D. J. (2014) · Frontiers in Psychology · doi:10.3389/fpsyg.2014.00101 · Cited by 15
“There are many situations when cognitive flexibility is necessary for academic performance (Bull and Scerif, 2001; Blair and Razza, 2007; Bull et al., 2008).”
BackgroundCognitive Predictors of Mathematical Abilities and Disabilities
Desoete, A. (2014) · Oxford University Press eBooks · doi:10.1093/oxfordhb/9780199642342.013.033 · Cited by 15
MacAllister, W. S., Maiman, M., Marsh, M., Whitman, L. A., Vasserman, M., Cohen, R. J., & Salinas, C. M. (2017) · Child Neuropsychology · doi:10.1080/09297049.2016.1265101 · Cited by 15
“Considering that deficits in executive functions have a significant impact on academic skills such as reading comprehension and mathematics (Bull & Scerif, 2001; Cantin, Gnaedinger, Gallaway, Hesson-McInnis, & Hund, 2016; Sesma, Mahone, Levine, Eason, & Cutting, 2009), identification of such…”
BackgroundWorking Memory as Separable Subsystems: a Study with Portuguese Primary School Children
Campos, I. S., Almeida, L. S., Ferreira, A. I., & Martinez, L. F. (2013) · The Spanish Journal of Psychology · doi:10.1017/sjp.2013.6 · Cited by 15
Academic Skills in Children with Cerebral Palsy and Specific Learning Disorders
Micheletti, S., Galli, J., Vezzoli, M., Scaglioni, V., Agostini, S., Calza, S., Merabet, L. B., & Fazzi, E. (2024) · Developmental Medicine & Child Neurology · doi:10.1111/dmcn.15808 · Cited by 14
“12 It is particularly relevant for academic performance because it is necessary to make sense of written or spoken language, to perform mathematical calculations in the head, for numerical cognition, 44,45,71 and with early numeracy.”
BackgroundInfluentialAlfonso, S. V., & Lonigan, C. J. (2021) · Early Childhood Research Quarterly · doi:10.1016/j.ecresq.2021.06.005 · Cited by 19
Dulal, S., Liégeois, F., Osrin, D., Kuczynski, A., Manandhar, D., Shrestha, B., Sen, A., Saville, N., Devakumar, D., & Prost, A. (2018) · BMJ Global Health · doi:10.1136/bmjgh-2017-000527 · Cited by 11
“37 38 In each condition, the children were asked to name the quantity of items in rows of one to seven identical items.”
BackgroundThe role of BMI on cognition following acute physical activity in preadolescent children
Raine, L. B., Kao, S., Drollette, E. S., Pontifex, M. B., Pindus, D. M., Hunt, J., Kramer, A. F., & Hillman, C. H. (2020) · Trends in Neuroscience and Education · doi:10.1016/j.tine.2020.100143 · Cited by 19
Wu, D., Zhou, Y., Xu, P., Liu, N., Sun, K., & Xiao, W. (2021) · Brain Research · doi:10.1016/j.brainres.2021.147722 · Cited by 15
A predictive model for mathematical performance of blind and seeing students
Pezeshki, P., Alamolhodaei, H., & Radmehr, F. (2011) · Cited by 14
Estructura de las Funciones Ejecutivas en la Edad Preescolar
Osornio, M. G. G., & Ostrosky, F. (2012) · Acta de Investigación Psicológica · doi:10.22201/fpsi.20074719e.2012.1.187 · Cited by 14
Latent dimensions of executive functions in early childhood.
Decker, S. L., Ezrine, G. A., & Ferraracci, J. (2016) · Journal of Pediatric Neuropsychology · doi:10.1007/s40817-016-0013-0 · Cited by 18
“…2011), emotional and social competence (Kochanska et al. 1996), behavioral control (Eisenberg et al. 1997), social cognition (Perner and Lang 1999), school adjustment (Blair 2002; Bodrova and Leong 2006), and academic achievement (Bull and Scerif 2001; Duncan et al. 2007; McClelland et al. 2007).”
BackgroundEffect of Relaxation Training on Working Memory Capacity and Academic Achievement in Adolescents
Kargar, F. R., Ghoreishi, M. K., Bita, A., & Noohi, S. (2013) · Procedia - Social and Behavioral Sciences · doi:10.1016/j.sbspro.2013.06.318 · Cited by 18
Working Memory Interventions With Children: Classrooms or Computers?
Colmar, S., & Double, K. S. (2017) · Journal of Psychologists and Counsellors in Schools · doi:10.1017/jgc.2017.11 · Cited by 13
“Other researchers have shown a positive relationship between working memory capacity and the development of reading and literacy (Normand & Tan-nock, 2014; St Clair-Thompson & Gathercole, 2006) and mathematics (Bull, Espy, & Wiebe, 2008; Bull & Scerif, 2001).”
BackgroundLongitudinal development of subtraction performance in elementary school
Artemenko, C., Pixner, S., Moeller, K., & Nuerk, H. (2017) · British Journal of Developmental Psychology · doi:10.1111/bjdp.12215 · Cited by 16
“…highlighting the critical contribution of domain-general processes, such as executive functions, to arithmetic performance (e.g., Bull & Lee, 2014; Bull & Scerif, 2001; Clark, Pritchard, & Woodward, 2010; Cragg & Gilmore, 2014; Gathercole, Pickering, Knight, & Stegmann, 2004; Nemati et al., 2017).”
Age-related changes in children’s strategies for solving two-digit addition problems
Lemaire, P., & Brun, F. (2018) · Journal of Numerical Cognition · doi:10.5964/jnc.v3i3.117 · Cited by 14
“It is possible that in addition to basic arithmetic fluency, increased processing resources helped older children to use more strategies (e.g., Bull & Scerif, 2001; Barrouillet & Lépine, 2005; Geary, Brown, & Samaranayake, 1991; Lemaire & Lecacheur, 2011).”
BackgroundBeattie, H. L., Schutte, A. R., & Cortesa, C. S. (2018) · Cognitive development · doi:10.1016/j.cogdev.2018.02.002 · Cited by 13
Veraksa, А., Сергеевна, А. М., Bukhalenkova, D., Veraksa, N. E., & Liutsko, L. (2020) · Education Sciences · doi:10.3390/educsci10070181 · Cited by 14
Matthews, S. B. (2008) · doi:10.17760/d10017045 · Cited by 14
Adam, N., Blaye, A., Gulbinaite, R., Chabé‐Ferret, S., & Farrer, C. (2022) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2021.105348 · Cited by 22
Escobar, J., & Díaz, R. R. (2022) · Reading Psychology · doi:10.1080/02702711.2022.2141395 · Cited by 17
“Evidence shows that EFs are associated with academic performance and predict the development of reading and mathematical skills (Bull & Scerif, 2001; Cragg, Keeble, Richardson, Roome, & Gilmore, 2017; Monette, Bigras, & Guay, 2011; Simanowski & Krajewski, 2019; Van der Ven, Kroesbergen, Boom, &…”
BackgroundLópez‐Gil, J. F., Victoria‐Montesinos, D., & García‐Hermoso, A. (2024) · Clinical Nutrition · doi:10.1016/j.clnu.2024.05.045 · Cited by 18
Sędek, G., Krejtz, I., Rydzewska, K., Kaczan, R., & Rycielski, P. (2016) · Polish Psychological Bulletin · doi:10.1515/ppb-2016-0011 · Cited by 13
“…and reading (e.g., Baddeley, 1986; Daneman & Carpenter, 1980; Perfetti, 1985), speech production (e.g., Peña & Tirre, 1992; Shute & Kyllonen, 1990; Tirre, 1991; Woltz, 1988), arithmetic word problems (e.g., Swanson & Beebe-Frankenberger, 2004), and computational skills (e.g., Bull & Scerif, 2001).”
Cognitive games for children's Executive Functions Training with or without learning difficulties
Rachanioti, E., Bratitsis, T., & Alevriadou, A. (2018) · International Conference on Software Development and Technologies for Enhancing Accessibility and Fighting Info-exclusion (DSAI) · doi:10.1145/3218585.3218665 · Cited by 18
“Furthermore, shifting, working memory and inhibition account for unique variance in mathematics scores [8].”
BackgroundExecutive Functions and Information Systems Learning
Sullivan, Y. W., Davis, F. D., & Koh, C. E. (2022) · MIS Quarterly · doi:10.25300/misq/2022/15979 · Cited by 14
Wongupparaj, P., & Kadosh, R. C. (2022) · BMC Psychology · doi:10.1186/s40359-022-00740-9 · Cited by 13
“Several studies demonstrated the significant connection among specific executive functioning, that is, working memory, inhibition and shifting abilities, and mathematical ability in children [35, 42].”
BackgroundResultTeachers' perceptions of classroom behaviour and working memory
Alloway, T. P., Doherty‐Sneddon, G., & Forbes, L. (2012) · Northumbria Research Link (Northumbria University) · doi:10.5897/err10.223 · Cited by 13
“…working memory performance are closely related to a range of academic skills such as reading (Swanson and BeebeFrankenberger, 2004), spelling (Alloway et al., 2005), comprehension (Daneman and Merikle, 1996), and mathematics (Bull and Scerif, 2001; Geary et al., 1999; Swanson and Sachse-Lee, 2001).”
BackgroundEvocative gene–parenting correlations and academic performance at first grade: An exploratory study
Propper, C. B., Shanahan, M. J., Russo, R., & Mills-Koonce, R. (2012) · Development and Psychopathology · doi:10.1017/s0954579412000697 · Cited by 13
Cardoso, C. D. O., Dias, N. M., Seabra, A. G., & Fonseca, R. P. (2017) · Dementia & Neuropsychologia · doi:10.1590/1980-57642016dn11-010013 · Cited by 15
Orylska, A., Hadwin, J. A., Kroemeke, A., & Sonuga-Barke, E. J. S. (2019) · Frontiers in Education · doi:10.3389/feduc.2019.00012 · Cited by 16
“…and adolescents is positively associated with educational achievement in core subjects, including text comprehension and reading (e.g., Daneman and Carpenter, 1980; Perfetti, 1985; Baddeley, 1986) and mathematical problem solving (e.g., Bull and Scerif, 2001; Swanson and BeebeFrankenberger, 2004).”
BackgroundChildren With Mathematical Learning Difficulties Are Sluggish in Disengaging Attention
Zhang, X., Fu, W., Xue, L., Zhao, J., & Wang, Z. (2019) · Frontiers in Psychology · doi:10.3389/fpsyg.2019.00932 · Cited by 13
Berg, V., Rogers, S., McMahon, M., Garrett, M. J., & Manley, D. (2020) · Frontiers in Psychology · doi:10.3389/fpsyg.2020.01702 · Cited by 17
“For example, inhibition emerges and undergoes rapid growth in early childhood, particularly between the ages of three to six (Band et al., 2000; Carver et al., 2001; Garon et al., 2008; Wiebe et al., 2012), and continues to mature into early adulthood.”
Background
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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