Working memory as a predictor of written arithmetical skills in children: The importance of central executive functions
Abstract
Background . The study was conducted in an attempt to further our understanding of how working memory contributes to written arithmetical skills in children. Aim . The aim was to pinpoint the contribution of different central executive functions and to examine the contribution of the two subcomponents of children's written arithmetical skills. Sample and method . A total of 141 third‐ and fourth‐graders were administered arithmetical tasks and measures of working memory, fluid IQ and reading. Regression analysis was used to examine the relationship between working memory and written arithmetical skills. Results . Three central executive measures (counting span, trail making and verbal fluency) and one phonological loop measure (Digit Span) were significant and predictors of arithmetical performance when the influence of reading, age and IQ was controlled for in the analysis. Conclusions . The present findings demonstrate that working memory, in general, and the central executive, in particular, contribute to children's arithmetical skills. It was hypothesized that monitoring and coordinating multiple processes, and accessing arithmetical knowledge from long‐term memory, are important central executive functions during arithmetical performance. The contribution of the phonological loop and the central executive (concurrent processing and storage of numerical information) indicates that children aged 9–10 years primarily utilize verbal coding strategies during written arithmetical performance.
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EF have been shown to explain at least as much variance in academic achievement as intelligence.
“In fact, EF have been shown to explain at least as much variance in academic achievement as intelligence (e.g., Swanson, 2004; Altemeier et al., 2008; Andersson, 2008; Alloway and Alloway, 2010; Lu et al., 2011)”
From Executive control training from middle childhood to adolescence (2014) · cites this paper as Andersson, 2008
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InfluentialExecutive functions as predictors of math learning disabilities
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“…fact, EF have been shown to explain at least as much variance in academic achievement as intelligence (e.g., Swanson, 2004; Altemeier et al., 2008; Andersson, 2008; Alloway and Alloway, 2010; Lu et al., 2011), which is usually considered the most powerful predictor of academic success (e.g.,…”
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“More specifically working memory is a strong predictor of arithmetic skills (Andersson, 2008), which are the predominant forms of mathematics learning in Bangladeshi elementary school system.”
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“In fact, WM has been shown to explain at least as much variance in academic achievement as intelligence (e.g., Alloway, Bibile, & Lau, 2013; Andersson, 2008; Lu et al., 2011; Swanson, 2004), which is usually considered the most powerful predictor of academic success (e.g., Gottfredson, 2002; cf.…”
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ResultSimmons, F. R., Willis, C., & Adams, A.-M. (2011) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2011.08.011 · Cited by 128 · see citing works
“…current study was to extend existing research that has focused on the relationships between individual mathematical skills and working memory (e.g., Andersson, 2008; Camos, 2008; Holmes & Adams, 2006; Rasmussen & Bisanz, 2005) by examining the relationships between working memory and single-digit…”
BackgroundAndersson, U., & Östergren, R. (2012) · Learning and Individual Differences · doi:10.1016/j.lindif.2012.05.004 · Cited by 121 · see citing works
“…emanates from converging evidence showing that cognitive functions such as working memory, executive functions, semantic memory and processing speed are involved in mathematical performance in both adults and children (Andersson, 2007; 2008a; Fuchs et al., 2005; Swanson, Jerman, & Zheng, 2008).”
BackgroundInfluentialSelf-citationWorking memory, learning, and academic achievement.
Swanson, H. L., & Alloway, T. P. (2012) · APA educational psychology handbook, Vol 1: Theories, constructs, and critical issues. · doi:10.1037/13273-012 · Cited by 118 · see citing works
Crisci, G., Caviola, S., Cardillo, R., & Mammarella, I. C. (2021) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2021.594234 · Cited by 103 · see citing works
“, 2018a) and shifting (Van der Sluis et al., 2007; Andersson, 2008) have also been observed in children with SLD.”
BackgroundMathematical learning difficulties subtypes classification
Karagiannakis, G., Baccaglini‐Frank, A., & Papadatos, Y. (2014) · Frontiers in Human Neuroscience · doi:10.3389/fnhum.2014.00057 · Cited by 103 · see citing works
“…domain general cognitive deficit underlying MLD (Geary, 2004; Geary and Hoard, 2005), which emanates from converging evidence showing that such cognitive functions are involved in mathematical performance in both adults and children (Fuchs et al., 2005; Andersson, 2007, 2008; Swanson et al., 2008).”
BackgroundThe role of executive functions in numerical magnitude skills
Kolkman, M. E., Hoijtink, H. J. A., Kroesbergen, E. H., & Leseman, P. P. M. (2013) · Learning and Individual Differences · doi:10.1016/j.lindif.2013.01.004 · Cited by 101 · see citing works
Early number knowledge and cognitive ability affect early arithmetic ability
Östergren, R., & Träff, U. (2013) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2013.03.007 · Cited by 101 · see citing works
“The overall results from Models A and B are consistent with the notion that working memory provides a flexible and efficient workspace during mathematical performances (Andersson, 2008; Fürst & Hitch, 2000; Geary & Hoard, 2005; Logie, Gilhooly, & Wynn, 1994; Seitz & SchumannHengsteler, 2000; Swanson, 2004).”
ResultTräff, U. (2013) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2013.04.007 · Cited by 97 · see citing works
Lee, K. L., Ng, S. F., Bull, R., Pe, M. L., & Ho, R. M.-H. (2011) · Journal of Educational Psychology · doi:10.1037/a0023068 · Cited by 95 · see citing works
Allen, K., Higgins, S., & Adams, J. W. (2019) · Educational Psychology Review · doi:10.1007/s10648-019-09470-8 · Cited by 89 · see citing works
“Therefore, it is possible that VSWM is employed to a greater extent during the procurement of new skills, and to a lesser extent once children achieve mastery of such skills (Andersson 2008).”
BackgroundBeckett, C., Castle, J., Rutter, M., & Sonuga-Barke, E. J. (2010) · Monographs of the Society for Research in Child Development · doi:10.1111/j.1540-5834.2010.00553.x · Cited by 84 · see citing works
Morgan, P. L., Li, H., Farkas, G., Cook, M., Pun, W. H., & Hillemeier, M. M. (2016) · Contemporary Educational Psychology · doi:10.1016/j.cedpsych.2016.01.004 · Cited by 86 · see citing works
“For example, working memory and cognitive flexibility deficits have been reported to constrain children’s counting abilities, fact retrieval (Geary, Hoard, Nugent, & Bailey, 2012; Noel, 2009), and mathematics problem solving (Andersson, 2008; Swanson, Jerman, & Zheng, 2008).”
BackgroundEarly numerical abilities and cognitive skills in kindergarten children
Passolunghi, M. C., Lanfranchi, S., Altoè, G., & Sollazzo, N. (2015) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2015.02.001 · Cited by 78 · see citing works
Vanbinst, K., Ghesquière, P., & Smedt, B. D. (2014) · Learning and Individual Differences · doi:10.1016/j.lindif.2014.12.004 · Cited by 78 · see citing works
Refining the quantitative pathway of the Pathways to Mathematics model
Sowinski, C., LeFevre, J., Skwarchuk, S., Kamawar, D., Bisanz, J., & Smith‐Chant, B. L. (2014) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2014.11.004 · Cited by 68 · see citing works
“Central executive/executive functions have been found to positively relate to math outcomes such as arithmetic (Andersson, 2008), fact retrieval and accuracy (Marzocchi, Lucangeli, De Meo, Fini, & Cornoldi, 2002), number line task performance (Geary, Hoard, Nugent, & Byrd-Craven, 2008), and…”
BackgroundResultInfluentialFilippetti, V. A., & Richaud, M. C. (2016) · Child Neuropsychology · doi:10.1080/09297049.2016.1199665 · Cited by 68 · see citing works
“In the field of mathematics, several studies have found evidence demonstrating the contribution of all the three EF components to performance on different mathematical domains: WM (Agostino, Johnson, & Pascual-Leone, 2010; Alloway & Passolunghi, 2011; Andersson, 2008; Bull, Espy, & Wiebe, 2008; Holmes & Adams, 2006),…”
BackgroundMethodResultInfluentialProfiles of children’s arithmetic fact development: A model-based clustering approach
Vanbinst, K., Ceulemans, E., Ghesquière, P., & Smedt, B. D. (2015) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2015.01.003 · Cited by 63 · see citing works
“…growth in single-digit arithmetic (e.g., Andersson & Lyxell, 2007; Bull, Espy, & Wiebe, 2008; Krajewski & Schneider, 2009; Mazzocco & Kover, 2007), but they are consistent with other published studies (e.g., Andersson, 2008; Rasmussen & Bisanz, 2005; St Clair-Thompson & Gathercole, 2006).”
Addressing working memory in children with autism through behavioral intervention
Baltruschat, L., Hasselhorn, M., Tarbox, J., Dixon, D. R., Najdowski, A. C., Mullins, R. D., & Gould, E. R. (2010) · Research in Autism · doi:10.1016/j.rasd.2010.04.008 · Cited by 63 · see citing works
The Cognitive Effects of Experiencing and Observing Subtle Racial Discrimination
Ozier, E. M., Taylor, V. J., & Murphy, M. C. (2019) · Journal of Social Issues · doi:10.1111/josi.12349 · Cited by 67 · see citing works
Skagerlund, K., & Träff, U. (2015) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2015.10.016 · Cited by 52 · see citing works
Jansen, 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 54 · see citing works
Systematic review on the precursors of initial mathematical performance
Nogues, C. P., & Dorneles, B. V. (2021) · International Journal of Educational Research Open · doi:10.1016/j.ijedro.2021.100035 · Cited by 49 · see citing works
Pivik, R. T., Tennal, K. B., Chapman, S. D., & Gu, Y. (2012) · Physiology & Behavior · doi:10.1016/j.physbeh.2012.03.034 · Cited by 48 · see citing works
“Furthermore, since the ability to inhibit task-irrelevant information from gaining access to working memory is critical to working memory function and efficient mathematical performance [50] and such inhibitory influences have been associated with increases in delta [29] and alpha activity, we hypothesize that power i…”
Visuospatial and verbal memory in mental arithmetic
Clearman, J., Klinger, V., & Szűcs, D. (2016) · Quarterly Journal of Experimental Psychology · doi:10.1080/17470218.2016.1209534 · Cited by 47 · see citing works
“Several studies conclude that arithmetic computation heavily relies on verbal WM (Andersson, 2008; Bull & Johnston, 1997; Fuchs et al., 2005; Hecht, 2002; Lemaire, 1996; Seitz & Schumann-Hengsteler, 2002).”
BackgroundThe association between arithmetic and reading performance in school: A meta-analytic study.
Singer, V., & Strasser, K. (2017) · School Psychology Quarterly · doi:10.1037/spq0000197 · Cited by 51 · see citing works
The Role of Executive Function in Arithmetic Problem-Solving Processes: A Study of Third Graders
Viterbori, P., Traverso, L., & Usai, M. C. (2017) · Journal of Cognition and Development · doi:10.1080/15248372.2017.1392307 · Cited by 47 · see citing works
Gashaj, V., Oberer, N., Mast, F. W., & Roebers, C. M. (2018) · Early Education and Development · doi:10.1080/10409289.2018.1539556 · Cited by 46 · see citing works
“, 2013), and updating (Andersson, 2008; Berg, 2008; Bull et al., 2008; Geary, 2011) on mathematics achievement.”
Lee, K. L., Ning, F., & Goh, H. C. (2013) · Educational Psychology · doi:10.1080/01443410.2013.836158 · Cited by 45 · see citing works
“Indeed, most studies have found working memory to be more predictive of academic achievement than measures of intelligence (Andersson, 2008; Lee & Ng, 2009; Swanson, 2004) (cf.”
BackgroundInfluentialTao, D.-D., Deng, R., Jiang, Y., Galvin, J. J., Fu, Q., & Chen, B. (2014) · PLoS ONE · doi:10.1371/journal.pone.0099096 · Cited by 45 · see citing works
“Limitations to working memory can vary widely among NH children and is closely associated with children’s learning ability [41,42], and deficits in working memory have been associated with learning difficulties [28,40,43–44].”
BackgroundFuchs, L. S., Geary, D. C., Fuchs, D., Compton, D. L., & Hamlett, C. L. (2013) · Journal of Educational Psychology · doi:10.1037/a0034444 · Cited by 44 · see citing works
The impact of music instruction on attention in kindergarten children.
Hallberg, K. A., Martin, W. E., & McClure, J. R. (2017) · Psychomusicology Music Mind and Brain · doi:10.1037/pmu0000177 · Cited by 42 · see citing works
“, 2005; Saffran, Johnson, Aslin, & Newport, 1999), and (e) arithmetical skill (Alloway & Passolunghi, 2011; Andersson, 2008). Research on differences in verbal memory measures between musicians and nonmusicians concluded that better working memory task performances in musicians are possibly due to the ability to maint…”
BackgroundInfluentialKyttälä, M., Pirjo Aunio, A., Lepola, J., & Hautamäki, J. (2013) · Educational Psychology · doi:10.1080/01443410.2013.814192 · Cited by 41 · see citing works
“researchers to investigate both the cognitive abilities and environmental factors that might influence word problem solving or control the development of word problem skills (Andersson, 2008; Fuchs et al., 2006). So far, most earlier work to seek the factors behind word problem solving has concentrated on elementary s…”
BackgroundInfluentialIndividual differences in children's mathematics achievement
Vanbinst, K., & Smedt, B. D. (2016) · Progress in brain research · doi:10.1016/bs.pbr.2016.04.001 · Cited by 40 · see citing works
“Many studies have investigated the predictive value of working memory, specifically for learning arithmetic (eg, Andersson, 2008; Andersson and Lyxell, 2007; Bull et al., 2008; De Smedt et al., 2009; Geary et al., 2007, 2012b; Jarvis and Gathercole, 2003; Krajewski and Schneider, 2009; Mazzocco and…”
BackgroundHuang, F., Sun, L., Qian, Y., Liu, L., Ma, Q., Yang, L., Cheng, J. R., Cao, Q., Su, Y., Gao, Q., et al. (2016) · Chinese Medical Journal · doi:10.4103/0366-6999.187861 · Cited by 40 · see citing works
“[35] However, it has been speculated that children with ADHD with poor inhibition function and attention shifting function may experience learning difficulties and, thus, lead to LD.[25] Hence, the relationship among cognitive deficits, ADHD, and LD needs to be further investigated.”
ResultInfluentialTräff, U., Olsson, L., Skagerlund, K., & Östergren, R. (2017) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2017.11.010 · Cited by 40 · see citing works
Barber, A. T., Cartwright, K. B., Stapleton, L. M., Klauda, S. L., Archer, C. J., & Smith, P. (2020) · Contemporary Educational Psychology · doi:10.1016/j.cedpsych.2020.101848 · Cited by 39 · see citing works
Cognitive processes and math performance: a study with children at third grade of basic education
Campos, I. S., Almeida, L. S., Ferreira, A. I., Martinez, L. F., & Ramalho, G. (2012) · European Journal of Psychology of Education · doi:10.1007/s10212-012-0121-x · Cited by 37 · see citing works
The association between working memory and mathematical problem solving: A three-level meta-analysis
Ji, Z., & Guo, K. (2023) · Frontiers in Psychology · doi:10.3389/fpsyg.2023.1091126 · Cited by 43 · see citing works
Träff, U., Olsson, L., Skagerlund, K., & Östergren, R. (2019) · Journal of Educational Psychology · doi:10.1037/edu0000369 · Cited by 35 · see citing works
Executive Function Training for Deaf Children: Impact of a Music Intervention
Mason, K., Marshall, C. R., & Morgan, G. (2021) · The Journal of Deaf Studies and Deaf Education · doi:10.1093/deafed/enab026 · Cited by 32 · see citing works
“These abilities are an important part of children’s wider success in controlling and regulating social and emotional skills (Andersson, 2008; Blair & Razza, 2007; Thorell, Lindqvist, Bergman Nutley, Bohlin, & Klingberg, 2009).”
Intelligence, Working Memory, and Learning Disabilities
Swanson, H. L. (2014) · Elsevier eBooks · doi:10.1016/b978-0-12-410388-7.00010-5 · Cited by 31 · see citing works
Gordon, R., & Ramani, G. B. (2021) · Frontiers in Psychology · doi:10.3389/fpsyg.2021.650286 · Cited by 36 · see citing works
“, 2011), problem solving more broadly (Swanson, 2004), written and verbal calculation (Andersson, 2008), as well as mathematical word problem accuracy (Andersson, 2007; Zheng et al.”
BackgroundWei, W., Guo, L., Georgiou, G. K., Tavouktsoglou, A., & Deng, C. (2018) · Frontiers in Psychology · doi:10.3389/fpsyg.2018.01037 · Cited by 25 · see citing works
“In contrast, in studies in which fluency scores were used, working memory did not predict mathematics (e.g., Andersson, 2008; Cantin et al., 2016; Purpura et al., 2017).”
BackgroundMethodResultInfluentialWorking memory predictors of written mathematics in 7- to 8-year-old children
Allen, K., Giofrè, D., Higgins, S., & Adams, J. W. (2019) · Quarterly Journal of Experimental Psychology · doi:10.1177/1747021819871243 · Cited by 24 · see citing works
“The age group chosen also aligns with a period of intensive skill acquisition; a time when VSWM is most likely employed (Andersson, 2008). Spatial-sequential tasks requiring order during the recall phase, as well as those that do not require order during recall, were used to ensure the model was fully crossed. The mai…”
BackgroundResultInfluentialA Neuropsychological Profile of Developmental Dyscalculia: The Role of Comorbidity
Luoni, C., Scorza, M., Stefanelli, S., Fagiolini, B., & Termine, C. (2022) · Journal of Learning Disabilities · doi:10.1177/00222194221102925 · Cited by 25 · see citing works
“Working memory is the ability to store information while doing other cognitively draining tasks (Gathercole et al., 2006), and many studies have shown that poor working memory is a primary cognitive signature of dyscalculia (Allen et al., 2020; Andersson, 2008; Swanson & Sachse-Lee, 2001).”
BackgroundSuárez-Riveiro, J. M., Vicente, M. M., & Barroso, C. V. (2019) · Psicologí a Educativa · doi:10.5093/psed2019a17 · Cited by 25 · see citing works
Preschool Executive Function Profiles: Implications for Math Achievement in Grades 1 and 3
Usai, M. C., Viterbori, P., & Traverso, L. (2018) · Journal of Research in Childhood Education · doi:10.1080/02568543.2018.1496957 · Cited by 21 · see citing works
Karagiannakis, G., Baccaglini‐Frank, A., & Ρούσσος, Π. (2016) · Australian Journal of Learning Difficulties · doi:10.1080/19404158.2017.1289963 · Cited by 20 · see citing works
“For example, recent studies have investigated the roles of general executive functions, such as working memory and inhibition, in mathematical achievement (Andersson, 2008; Cragg & Gilmore, 2014; Geary, 2004; Passolunghi & Siegel, 2004).”
BackgroundResultInfluentialAllen, K., & Giofrè, D. (2021) · Educational Psychology · doi:10.1080/01443410.2020.1857702 · Cited by 21 · see citing works
“Further, the suggestion of a cyclical relationship between visuospatial working memory and verbal working memory conforms to the assumption that visuospatial working memory relates more strongly to the acquisition of new skills (Andersson, 2008).”
BackgroundThe developmental influence of primary memory capacity on working memory and academic achievement.
Hall, D., Jarrold, C., Towse, J. N., & Zarandi, A. L. (2015) · Developmental Psychology · doi:10.1037/a0039464 · Cited by 22 · see citing works
“Similarly, mathematical problems require the concurrent storage of task instructions and running totals (Andersson, 2008; Kyttälä, Aunio, Lepola, & Hautamaki, 2014).”
BackgroundImpaired math achievement in patients with acute vestibular neuritis
Moser, I., Vibert, D., Caversaccio, M. D., & Mast, F. W. (2017) · Neuropsychologia · doi:10.1016/j.neuropsychologia.2017.10.032 · Cited by 20 · see citing works
“…accepted that executive functions (primarily updating) do not only support counting but also exert dominant influence on arithmetic performance (Andersson, 2008; Bull and Scerif, 2001; Deschuyteneer et al., 2006; DeStefano and LeFevre, 2004; Jarvis and Gathercole, 2003; Logie et al., 1994;…”
Further analysis of the effects of positive reinforcement on working memory in children with autism
Baltruschat, L., Hasselhorn, M., Tarbox, J., Dixon, D. R., Najdowski, A. C., Mullins, R. D., & Gould, E. R. (2010) · Research in Autism · doi:10.1016/j.rasd.2010.09.015 · Cited by 19 · see citing works
Poloczek, S., Büttner, G., & Hasselhorn, M. (2012) · Journal of Cognitive Education and Psychology · doi:10.1891/1945-8959.11.1.20 · Cited by 20 · see citing works
“Some studies have found that PSTM tasks were significant predictors of arithmetic performance (e.g., Andersson, 2008; Berg, 2008; Leather & Henry, 1994; Maybery & Do, 2003; Swanson, 2006).”
BackgroundResultWorking Memory in Portuguese Children With Developmental Dyslexia
Moura, O., Simões, M. R., & Pereira, M. A. M. (2014) · Applied Neuropsychology Child · doi:10.1080/21622965.2014.885389 · Cited by 19 · see citing works
“, 2006; Nevo & Breznitz, 2011; Swanson & Jerman, 2007), and mathematical ability (Andersson, 2008; Jerman et al., 2012).”
MethodResultInfluentialThe Roles of Arithmetic Fluency and Executive Functioning in Mathematical Problem-Solving
Kaskens, J., Goei, S. L., Luit, J. V. V., Verhoeven, L., & Segers, E. (2022) · The Elementary school journal · doi:10.1086/721771 · Cited by 15 · see citing works
“In a study in which visuospatial and verbal updating were included in the analyses, Andersson (2008) found that verbal updating contributed to arithmetic fluency.”
BackgroundMemory Mates: A Classroom-Based Intervention to Improve Attention and Working Memory
Davis, N., Sheldon, L., & Colmar, S. (2013) · Australian Journal of Guidance and Counselling · doi:10.1017/jgc.2013.23 · Cited by 14 · see citing works
“Students benefit from a WM system that is ef-ficient and flexible (Andersson, 2008).”
BackgroundRossignoli-Palomeque, T., Quirós-Godoy, M., Pérez-Hernández, E., & González-Marqués, J. (2019) · Frontiers in Psychology · doi:10.3389/fpsyg.2019.02332 · Cited by 14 · see citing works
“Previous studies have found a relation between EF and intelligence (Andersson, 2008; Molfese et al., 2010; Karbach and Unger, 2014); however, EF is even more predictive of academic success than IQ (Gathercole et al.”
BackgroundBetts, A. L., Thai, K.-P., & Gunderia, S. (2021) · Lecture notes in computer science · doi:10.1007/978-3-030-77857-6_3 · Cited by 19 · see citing works
Working memory and math skills in children with and without ADHD.
Gaye, F., Groves, N. B., Chan, E. S. M., Cole, A. M., Jaisle, E. M., Soto, E. F., & Kofler, M. J. (2023) · Neuropsychology · doi:10.1037/neu0000920 · Cited by 15 · see citing works
Can working memory training improve preschoolers’ numerical abilities?
Honoré, N., & Noël, M. (2017) · Journal of Numerical Cognition · doi:10.5964/jnc.v3i2.54 · Cited by 12 · see citing works
“Therefore, and as most studies agree that numerical performance is especially related to CE abilities (Andersson, 2008; De Smedt et al., 2009; Holmes & Adams, 2006; Kroesbergen et al., 2009), future training studies should develop programs focusing on CE.”
BackgroundDo measures of working memory predict academic proficiency better than measures of intelligence
Lee, K. L., Pe, M. L., Ang, S. Y., & Stankov, L. (2009) · NIE Digital Repository (National Institute of Education, Nanyang Technological University) · Cited by 12 · see citing works
The Fear to Move in a Crowded Environment. Poor Spatial Memory Related to Agoraphobic Disorder
Zucchelli, M. M., Piccardi, L., & Nori, R. (2021) · Brain Sciences · doi:10.3390/brainsci11060796 · Cited by 11 · see citing works
“Therefore, VSWM could be considered a cognitive process underlying different abilities that mediates the relationship among different cognitive processes [21].”
BackgroundBresgi, L., Alexander, D., & Seabi, J. (2017) · International Journal of Educational Research · doi:10.1016/j.ijer.2016.10.004 · Cited by 11 · see citing works
“Andersson (2008) asserts that individual differences in mathematical problem solving of learners aged 9–10 years are attributed to the phonological system as he found that these learners primarily applied verbal coding tactics during written mathematical tasks.”
BackgroundAssessment of executive functioning using tasks of executive control
Isquith, P. K., Roth, R. M., & Gioia, G. A. (2014) · Handbook of Executive Functioning · doi:10.1007/978-1-4614-8106-5_19 · Cited by 10 · see citing works
Math Modules Training Improves Math Achievement & Associated Cognitive Processing
Deaño, M. D., Alfonso, S., Diniz, A. M., Iglesias-Sarmiento, V., & Das, J. P. (2023) · Psychology · doi:10.4236/psych.2023.146057 · Cited by 11 · see citing works
Performance Control in Numerical Cognition
Uittenhove, K. L., & Lemaire, P. (2018) · Elsevier eBooks · doi:10.1016/b978-0-12-811529-9.00007-8 · Cited by 11 · see citing works
Theobald, M., Koerner, J. K. A., Breitwieser, J., Buhr, L., Karbach, J., Könen, T., Nobbe, L., Reinelt, T., Schaaf, M., Schmiedek, F., et al. (2026) · Educational Psychology Review · doi:10.1007/s10648-026-10157-0 · Cited by 10 · see citing works
The Cognitive Ability of Chinese Students with Dyslexia and Mathematical Learning Disabilities
Li, Z., AL-Qadri, A. H., & Zhao, W. (2022) · Children · doi:10.3390/children9121949 · Cited by 8 · see citing works
“Different components of executive function, such as working memory [47], inhibition control [48] and cognitive flexibility [49], are key factors that affect students’ mathematical success.”
BackgroundGire, C., Garbi, A., Zahed, M., Anzola, A. B., Tosello, B., & Datin‐Dorrière, V. (2022) · Children · doi:10.3390/children9020239 · Cited by 8 · see citing works
“EFs (especially WM) are more predictive of academic success than FSIQs [72,73] and reflect the child’s degree of educational investment [74].”
BackgroundDifferent cognitive mechanisms for process-open and process-constrained problem solving
Wang, L., Zeng, J., Ran, X., Cui, Z., & Zhou, X. (2022) · ZDM · doi:10.1007/s11858-022-01373-3 · Cited by 8 · see citing works
“Different tasks involving the executive function can lead to mixed results with problem solving (Andersson, 2008; Pascual et al., 2019; Yeniad et al., 2013).”
Eaves, J., Gilmore, C. K., & Attridge, N. (2021) · Trends in Neuroscience and Education · doi:10.1016/j.tine.2021.100152 · Cited by 8 · see citing works
Successful Solution Discovery and Cognitive Flexibility
Clément, É. (2022) · Wiley eBooks · doi:10.1002/9781119902737.ch5 · Cited by 10 · see citing works
Träff, U., Skagerlund, K., & Skagenholt, M. (2025) · Educational Psychology · doi:10.1080/01443410.2025.2463930 · Cited by 8 · see citing works
“Other studies have observed that reading skills are uniquely predictive of concurrent multidigit calculation and arithmetic word problem-solving (Andersson, 2007, 2008; Swanson et al., 2008; Swanson & Beebe-Frankenberger, 2004).”
Numerosity sense correlates with fluent mathematical abilities
Zhang, Y., An, N., Chen, J., Zhou, X., & Cui, Z. (2022) · Acta Psychologica · doi:10.1016/j.actpsy.2022.103655 · Cited by 7 · see citing works
Schmitt, L., Weber, A. M., Weber, D., & Leuchter, M. (2023) · Early Education and Development · doi:10.1080/10409289.2023.2233879 · Cited by 11 · see citing works
“Working memory is considered to be an important factor as well when predicting children’s achievement even if studies control for intelligence (e.g., Andersson, 2008).”
Core knowledge and working memory as prerequisites of early school arithmetic
Arndt, D. (2013) · South African Journal of Childhood Education · doi:10.4102/sajce.v3i1.29 · Cited by 7 · see citing works
“The phonological loop is the storage unit for auditory information and is involved in word problems (Andersson, 2007) and keeping track of accurate intermediary results (Andersson, 2008).”
BackgroundPina, V., Campello, V. M., Lekadir, K., Seguí, S., García‐Santos, J. M., & Fuentes, L. J. (2022) · Frontiers in Neuroscience · doi:10.3389/fnins.2022.819069 · Cited by 8 · see citing works
“Math fluency is based on basic arithmetic operations that depend on recovery of number facts from long-term memory (Andersson, 2008), and therefore is expected to pose minimal demands on participants’ attentional/working memory capacity.”
BackgroundGoodwin, J. W., Conrad, A. L., Ansley, T. N., & Nopoulos, P. (2017) · Neuropsychology · doi:10.1037/neu0000381 · Cited by 7 · see citing works
Domain-specific and domain-general skills as predictors of arithmetic fluency development
Mononen, R., Korhonen, J., Hægeland, K., Younesi, M., Goebel, S. M., & Niemivirta, M. (2024) · Learning and Individual Differences · doi:10.1016/j.lindif.2024.102585 · Cited by 6 · see citing works
Boeken, O. J., & Markett, S. A. (2023) · Frontiers in Neuroimaging · doi:10.3389/fnimg.2022.1074674 · Cited by 6 · see citing works
“, 2022), and decreased working memory performances has been linked to difficulties solving mathematical problems (Swanson and Jerman, 2006; Andersson, 2008; Zhang et al., 2018).”
BackgroundLongitudinal cognitive correlates of advanced mathematical performance in primary school children
Zhang, J., Yang, X., Yu, X., Xu, J., Jiang, J., & Chen, Y. (2023) · Current Psychology · doi:10.1007/s12144-023-04648-4 · Cited by 6 · see citing works
“In addition, other components of executive function (e.g., shifting; Andersson 2008; Bull & Scerif, 2001), other phonological processing skills (e.g., rapid automatized naming; Yang et al., 2022) and visual spatial abilities (e.g., mental rotation; Mix et al., 2016) might also have repercussions on…”
Coolen, I. E. J. I., Omont, S., & Knops, A. (2023) · Journal of Cognition · doi:10.5334/joc.309 · Cited by 6 · see citing works
“CE1 – Visuospatial skills have been suggested to be involved in the acquisition of new mathematical skills, but to a lesser extent once those skills have been mastered (Andersson, 2008).”
Background
- Authors
- Andersson, U.
- Affiliations
- Linköping University (SE)
- Corresponding author
- Andersson, Ulf.
- ORCID
- Andersson, Ulf.
- Venue
- British Journal of Educational Psychology
- Publisher
- Wiley
- Published
- 2008-06
- Volume
- 78
- Issue
- 2
- Pages
- 181-203
- ISSN
- 0007-0998 (ISSN-L)
- 2044-8279
- OpenAlex
- W2062472145
- Semantic Scholar
- 3c9fce40cb6150fb4407419c547951ec835a60d2
- Cited by
- 174
- References
- 85
- Citations by year
- 2026: 5 · 2025: 4 · 2024: 4 · 2023: 19 · 2022: 12 · 2021: 14 · 2020: 4 · 2019: 10 · 2018: 8 · 2017: 12 · 2016: 17 · 2015: 7 · 2014: 15 · 2013: 15 · 2012: 10
- FWCI
- 3.43
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- British Journal of Educational Psychology (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Cognitive and developmental aspects of mathematical skills
- Social Sciences › Psychology › Experimental and Cognitive Psychology › Cognitive Abilities and Testing
- Social Sciences › Psychology › Neuropsychology and Physiological Psychology › Developmental and Educational Neuropsychology
- Keywords
- working memory, central executive function, written arithmetic, arithmetic skills, children, phonological loop, Trail Making Test, verbal fluency, digit span, fluid intelligence, reading
- MeSH terms
- Achievement, Aptitude, Child, Humans, Intelligence, Mathematics, Memory, Short-Term, Neuropsychological Tests, Phonetics, Problem Solving, Reading, Sweden, Vocabulary
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