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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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“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
Citations
Cites
Studies of interference in serial verbal reactions
Stroop, J. R. (1935) · Journal of Experimental Psychology · doi:10.1037/h0054651 · Cited by 18,622
Miyake, A., Friedman, N. P., Emerson, M. J., Witzki, A. H., Howerter, A., & Wager, T. D. (2000) · Cognitive Psychology · doi:10.1006/cogp.1999.0734 · Cited by 15,798
Baddeley, A. D., & Hitch, G. (1974) · Psychology of Learning and Motivation · doi:10.1016/s0079-7421(08)60452-1 · Cited by 9,860
The episodic buffer: a new component of working memory?
Baddeley, A. (2000) · Trends in Cognitive Sciences · doi:10.1016/s1364-6613(00)01538-2 · Cited by 7,359
Individual differences in working memory and reading
Daneman, M., & Carpenter, P. A. (1980) · Journal of Verbal Learning and Verbal Behavior · doi:10.1016/s0022-5371(80)90312-6 · Cited by 6,336
Working memory, short-term memory, and general fluid intelligence: A latent-variable approach.
Engle, R. W., Tuholski, S. W., Laughlin, J. E., & Conway, A. R. A. (1999) · Journal of Experimental Psychology: General · doi:10.1037/0096-3445.128.3.309 · Cited by 3,078
Exploring the Central Executive
Baddeley, A. (1996) · The Quarterly Journal of Experimental Psychology Section A · doi:10.1080/713755608 · Cited by 2,390
Word length and the structure of short-term memory
Baddeley, A. D., Thomson, N., & Buchanan, M. (1975) · Journal of Verbal Learning and Verbal Behavior · doi:10.1016/s0022-5371(75)80045-4 · Cited by 1,980
Computerized training of working memory in children with ADHD – a randomized, controlled trial
Klingberg, T., Fernell, E., Olesen, P. J., Johnson, M., Gustafsson, P., Dahlström, K., Gillberg, C. G., Forssberg, H., & Westerberg, H. (2005) · Journal of the American Academy of Child & Adolescent Psychiatry · doi:10.1097/00004583-200502000-00010 · Cited by 1,949
The Structure of Working Memory From 4 to 15 Years of Age
Gathercole, S. E., Pickering, S. J., Ambridge, B., & Wearing, H. (2004) · Developmental Psychology · doi:10.1037/0012-1649.40.2.177 · Cited by 1,795
Bull, R., & Scerif, G. (2001) · Developmental Neuropsychology · doi:10.1207/s15326942dn1903_3 · Cited by 1,501
Working Memory: The Multiple-Component Model
Baddeley, A. D., & Logie, R. H. (1999) · Models of Working Memory · doi:10.1017/cbo9781139174909.005 · Cited by 1,374
Increased prefrontal and parietal activity after training of working memory
Olesen, P. J., Westerberg, H., & Klingberg, T. (2004) · Nature Neuroscience · doi:10.1038/nn1165 · Cited by 1,317
Operational efficiency and the growth of short-term memory span
Case, R., Kurland, D. M., & Goldberg, J. S. (1982) · Journal of Experimental Child Psychology · doi:10.1016/0022-0965(82)90054-6 · Cited by 1,234
Dimensions of executive functioning: evidence from children
Lehto, J. E., Juujärvi, P., Kooistra, L., & Pulkkinen, L. (2003) · British Journal of Developmental Psychology · doi:10.1348/026151003321164627 · Cited by 1,226
Training of Working Memory in Children With ADHD
Klingberg, T., Forssberg, H., & Westerberg, H. (2002) · Journal of Clinical and Experimental Neuropsychology · doi:10.1076/jcen.24.6.781.8395 · Cited by 1,225
(2012) · Springer eBooks · doi:10.1007/springerreference_183812 · Cited by 1,218
Mathematical disabilities: Cognitive, neuropsychological, and genetic components.
Geary, D. C. (1993) · Psychological Bulletin · doi:10.1037/0033-2909.114.2.345 · Cited by 1,069
Gathercole, S. E., Pickering, S. J., Knight, C. J., & Stegmann, Z. (2003) · Applied Cognitive Psychology · doi:10.1002/acp.934 · Cited by 1,056
Shah, P., & Miyake, A. (1996) · Journal of Experimental Psychology General · doi:10.1037/0096-3445.125.1.4 · Cited by 950
Logie, R. H. (2014) · doi:10.4324/9781315804743 · Cited by 933
Ralston, G. E. (1995) · Choice Reviews Online · doi:10.5860/choice.33-0596 · Cited by 867
The Development of Working Memory in Normally Achieving and Subtypes of Learning Disabled Children
Siegel, L. S., & Ryan, E. B. (1989) · Child Development · doi:10.2307/1131037 · Cited by 842
The Development of Working Memory in Normally Achieving and Subtypes of Learning Disabled Children
Siegel, L. S., & Ryan, E. B. (1989) · Child Development · doi:10.1111/j.1467-8624.1989.tb03528.x · Cited by 837
Early Identification and Interventions for Students With Mathematics Difficulties
Gersten, R. M., Jordan, N. C., & Flojo, J. R. (2005) · Journal of Learning Disabilities · doi:10.1177/00222194050380040301 · Cited by 828
Working memory in children with reading disabilities
Gathercole, S. E., Alloway, T. P., Willis, C., & Adams, A.-M. (2006) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2005.08.003 · Cited by 795
Cognitive arithmetic: A review of data and theory
Ashcraft, M. H. (1992) · Cognition · doi:10.1016/0010-0277(92)90051-i · Cited by 758
Gathercole, S. E., & Pickering, S. J. (2000) · British Journal of Educational Psychology · doi:10.1348/000709900158047 · Cited by 726
Working Memory Impairments in Children with Specific Arithmetic Learning Difficulties
McLean, J. F., & Hitch, G. J. (1999) · Journal of Experimental Child Psychology · doi:10.1006/jecp.1999.2516 · Cited by 651
Swanson, H. L., & Beebe-Frankenberger, M. (2004) · Journal of Educational Psychology · doi:10.1037/0022-0663.96.3.471 · Cited by 638
Cognitive mechanisms in number processing and calculation: Evidence from dyscalculia
McCloskey, M. E., Caramazza, A., & Basili, A. (1985) · Brain and Cognition · doi:10.1016/0278-2626(85)90069-7 · Cited by 635
Individual differences in working memory and comprehension: A test of four hypotheses.
Engle, R. W., Cantor, J., & Carullo, J. J. (1992) · Journal of Experimental Psychology: Learning, Memory, and Cognition · doi:10.1037/0278-7393.18.5.972 · Cited by 626
The Prevention, Identification, and Cognitive Determinants of Math Difficulty.
Fuchs, L. S., Compton, D. L., Fuchs, D., Paulsen, K., Bryant, J. D., & Hamlett, C. L. (2005) · Journal of Educational Psychology · doi:10.1037/0022-0663.97.3.493 · Cited by 624
Working memory and retrieval: A resource-dependent inhibition model.
Conway, A. R. A., & Engle, R. W. (1994) · Journal of Experimental Psychology General · doi:10.1037//0096-3445.123.4.354 · Cited by 538
Passolunghi, M. C., & Siegel, L. S. (2001) · Journal of Experimental Child Psychology · doi:10.1006/jecp.2000.2626 · Cited by 523
Counting on working memory in arithmetic problem solving
Logie, R. H., Gilhooly, K. J., & Wynn, V. (1994) · Memory & Cognition · doi:10.3758/bf03200866 · Cited by 480
Swanson, H. L., & Sachse-Lee, C. (2001) · Journal of Experimental Child Psychology · doi:10.1006/jecp.2000.2587 · Cited by 443
Bayliss, D. M., Jarrold, C., Gunn, D. M., & Baddeley, A. D. (2003) · Journal of Experimental Psychology: General · doi:10.1037/0096-3445.132.1.71 · Cited by 427
Leavitt, V. M., & Weber, E. (2017) · Springer eBooks · doi:10.1007/978-3-319-56782-2_1068-2 · Cited by 416
Representation and working memory in early arithmetic
Rasmussen, C., & Bisanz, J. (2005) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2005.01.004 · Cited by 408
Geary, D. C., Brown, S. C., & Samaranayake, V. A. (1991) · Developmental Psychology · doi:10.1037/0012-1649.27.5.787 · Cited by 386
Working-memory capacity as long-term memory activation: An individual-differences approach.
Cantor, J., & Engle, R. W. (1993) · Journal of Experimental Psychology Learning Memory and Cognition · doi:10.1037//0278-7393.19.5.1101 · Cited by 365
Bull, R., Johnston, R. S., & Roy, J. A. (1999) · Developmental Neuropsychology · doi:10.1080/87565649909540759 · Cited by 365
Separate roles for executive and phonological components of working memory in mental arithmetic
Furst, A. J., & Hitch, G. J. (2000) · Memory & Cognition · doi:10.3758/bf03198412 · Cited by 348
Individual Differences in Arithmetic: Implications for Psychology, Neuroscience and Education
Dowker, A. (2012) · Cited by 324
Are Executive Function Tests Dependent on Working Memory Capacity?
Lehto, J. E. (1996) · The Quarterly Journal of Experimental Psychology Section A · doi:10.1080/713755616 · Cited by 302
Holmes, J., & Adams, J. W. (2006) · Educational Psychology · doi:10.1080/01443410500341056 · Cited by 297
Working memory in children with specific arithmetical learning difficulties
Hitch, G. J., & McAuley, E. (1991) · British Journal of Psychology · doi:10.1111/j.2044-8295.1991.tb02406.x · Cited by 289
Mathematical Thinking in Second-Grade Children with Different Forms of LD
Jordan, N., & Hanich, L. B. (2000) · Journal of Learning Disabilities · doi:10.1177/002221940003300605 · Cited by 288
Individual Differences in Arithmetic
Dowker, A. (2005) · Psychology Press eBooks · doi:10.4324/9780203324899 · Cited by 286
Developmental Aspects of Verbal Fluency and Confrontation Naming in Children
Riva, D., Nichelli, F., & Devoti, M. (2000) · Brain and Language · doi:10.1006/brln.1999.2166 · Cited by 280
Frontal Lobe Deficits after Head Injury: Unity and Diversity of Function
Duncan Roger Johnson Michaela Swale, J. (1997) · Cognitive Neuropsychology · doi:10.1080/026432997381420 · Cited by 275
Swanson, H. L. (1994) · Journal of Learning Disabilities · doi:10.1177/002221949402700107 · Cited by 272
Cognitive Psychology and Simple Arithmetic: A Review and Summary of New Directions.
Ashcraft, M. H. (1995) · Mathematical Cognition · Cited by 269
Cognitive Analysis of Children's Mathematics Difficulties
Russell, R. L., & Ginsburg, H. P. (1984) · Cognition and Instruction · doi:10.1207/s1532690xci0102_3 · Cited by 229
Are Mathematics Disabilities Due to a Domain-General or a Domain-Specific Working Memory Deficit?
Wilson, K. M., & Swanson, H. L. (2001) · Journal of Learning Disabilities · doi:10.1177/002221940103400304 · Cited by 224
Is there a Relationship between Task Demand and Storage Space in Tests of Working Memory Capacity?
Towse, J. N., & Hitch, G. J. (1995) · The Quarterly Journal of Experimental Psychology Section A · doi:10.1080/14640749508401379 · Cited by 221
The effects of phonological and visual-spatial interference on children’s arithmetical performance
McKenzie, B., Bull, R., & Gray, C. (2003) · Educational and Child Psychology · doi:10.53841/bpsecp.2003.20.3.93 · Cited by 219
Generality and modifiability of working memory among skilled and less skilled readers.
Swanson, H. L. (1992) · Journal of Educational Psychology · doi:10.1037/0022-0663.84.4.473 · Cited by 209
Inhibition and cognitive development: object, number, categorization, and reasoning
Houdé, O. (2000) · Cognitive Development · doi:10.1016/s0885-2014(00)00015-0 · Cited by 203
Mapping the Developmental Constraints on Working Memory Span Performance.
Bayliss, D. M., Jarrold, C., Baddeley, A., Riby, D. M., & Leigh, E. (2005) · Developmental Psychology · doi:10.1037/0012-1649.41.4.579 · Cited by 196
Working Memory and Children's Mental Addition
Adams, J. W., & Hitch, G. J. (1997) · Journal of Experimental Child Psychology · doi:10.1006/jecp.1997.2397 · Cited by 188
The role of long‐term memory mechanisms in memory span
Hulme, C., Roodenrys, S. J., Brown, G. D. A., & Mercer, R. (1995) · British Journal of Psychology · doi:10.1111/j.2044-8295.1995.tb02570.x · Cited by 183
Cross-sectional and incremental changes in working memory and mathematical problem solving.
Swanson, H. L. (2006) · Journal of Educational Psychology · doi:10.1037/0022-0663.98.2.265 · Cited by 180
The development of future-oriented processes
Haith, B. M. M. (1995) · Computers & Mathematics with Applications · doi:10.1016/0898-1221(95)90252-x · Cited by 173
Phonological and visual working memory in mental addition
Trbovich, P., & LeFevre, J. (2003) · Memory & Cognition · doi:10.3758/bf03196112 · Cited by 172
Working memory and literacy as predictors of performance on algebraic word problems
Lee, K. L., Ng, S. F., Ng, E. L., & Lim, Z. Y. (2004) · Journal of Experimental Child Psychology · doi:10.1016/j.jecp.2004.07.001 · Cited by 163
Effects of Literacy and Education on Measures of Word Fluency
Ratcliff, G. G., Ganguli, M., Chandra, V., Sharma, S. D., Belle, S. E., Seaberg, E. C., & Pandav, R. S. (1998) · Brain and Language · doi:10.1006/brln.1997.1858 · Cited by 149
Visuospatial working memory and early numeracy
Kyttälä, M., Aunio, P., Lehto, J., van Luit, J. V., & Hautamäki, J. (2003) · Educational & Child Psychology · doi:10.53841/bpsecp.2003.20.3.65 · Cited by 122
The role of visuo-spatial working memory in the mental addition of multi-digit addends.
Heathcote, D. (1994) · Cahiers De Psychologie Cognitive-current Psychology of Cognition · Cited by 121
Research Section: Working memory deficits in children with special educational needs
Gathercole, S. E., & Pickering, S. (2001) · British Journal of Special Education · doi:10.1111/1467-8527.00225 · Cited by 98
Does Strategy Knowledge Influence Working Memory in Children with Mathematical Disabilities?
Keeler, M. L., & Swanson, H. L. (2001) · Journal of Learning Disabilities · doi:10.1177/002221940103400504 · Cited by 96
Swanson, H. L., Sáez, L., & Gerber, M. M. (2006) · Journal of Educational Psychology · doi:10.1037/0022-0663.98.2.247 · Cited by 94
Pennington, B. F. (1994) · Cited by 90
Involvement of short-term memory in complex mental calculation
Noël, M., Désert, M., Aubrun, A., & Seron, X. (2001) · Memory & Cognition · doi:10.3758/bf03195738 · Cited by 88
Phonological Loop and Central Executive Processes in Mental Addition and Multiplication
Seitz, K., & Schumann-Hengsteler, R. (2002) · Cited by 84
The central executive does not exist
PARKIN, A. J. (1998) · Journal of the International Neuropsychological Society · doi:10.1017/s1355617798005128 · Cited by 81
Working Memory and School Achievement in the Ninth Form
Lehto, J. E. (1995) · Educational Psychology · doi:10.1080/0144341950150304 · Cited by 78
Working memory as a predictor of addition skills and addition strategies in children
Noël, M., Seron, X., & Trovarelli, F. (2004) · Digital Access to Libraries (Université catholique de Louvain (UCL), l'Université de Namur (UNamur) and the Université Saint-Louis (USL-B)) · Cited by 75
Henry, L. A., & MacLean, M. (2003) · Educational and Child Psychology · doi:10.53841/bpsecp.2003.20.3.51 · Cited by 72
Reflections on Working Memory: Are the Two Models Complementary?
Pascual‐Leone, J. (2000) · Journal of Experimental Child Psychology · doi:10.1006/jecp.2000.2593 · Cited by 71
Working Memory and Classroom Learning
Holmes, J., Byrne, E. M., & Graham, A. J. (2022) · Cambridge University Press eBooks · doi:10.1017/9781108955638.044 · Cited by 71
Maybery, M., & Do, N. (2003) · Educational & Child Psychology · doi:10.53841/bpsecp.2003.20.3.77 · Cited by 61
Lee, T. M. C., Cheung, C. C. Y., Chan, J. K. P., & Chan, C. C. H. (2000) · Journal of Clinical and Experimental Neuropsychology · doi:10.1076/jcen.22.6.772.954 · Cited by 50
Development of efficient arithmetic computation.
Kaye, D. B., deWinstanley, P. A., Chen, Q., & Bonnefil, V. (1989) · Journal of Educational Psychology · doi:10.1037/0022-0663.81.4.467 · Cited by 42
From Rag(Bag)s to Riches: Measuring the Developing Central Executive
Schneider, W., Schumann-Hengsteler, R., & Sodian, B. (2005) · doi:10.4324/9781410612007-8 · Cited by 38
Research works printed but not linked: 7
- Adams J. W., 1998, The development of mathematical skills: Studies in developmental psychology, 153
- Baddeley A. D., 1986, Working memory
- Baddeley A. D., 1990, Working memory
- 10.1037/0278-7393.19.5.1101 · DOI
- 10.1037/0096-3445.123.4.354 · DOI
- Malmquist E., 1977, Läs‐ och skrivsvårigheter hos barn. Analys och behandlingsmetodik. (Reading and writing difficulties in children. Analysis and treatment)
- Zoelch C., 2005, Young children's cognitive development: Interrelationships among executive functions, working memory, verbal ability and theory of mind, 39
Cited by
Sorted by citations
Cragg, L., & Gilmore, C. K. (2014) · Trends in Neuroscience and Education · doi:10.1016/j.tine.2013.12.001 · Cited by 667
“…control abilities do predict performance in mathematics (Brock, Rimm- Kaufman, Nathanson, & Grimm, 2009; Bull & Scerif, 2001; Espy et al., 2004; Gilmore et al., 2013; Kroesbergen et al., 2009; Lee et al., 2010; St Clair-Thompson & Gathercole, 2006; Thorell, 2007; but see Andersson, 2008).”
Working memory and mathematics in primary school children: A meta-analysis
den Bos, I. F., van der Ven, S. H. G., Kroesbergen, E. H., & Luit, J. E. H. V. (2013) · Educational Research Review · doi:10.1016/j.edurev.2013.05.003 · Cited by 670
Peng, P., Namkung, J., Barnes, M., & Sun, C. (2016) · Journal of Educational Psychology · doi:10.1037/edu0000079 · Cited by 557
Bagetta (2016) · doi:10.1111/mbe.12100 · Cited by 433
Shifting ability predicts math and reading performance in children: a meta-analytical study
Yeniad, N., Malda, M., Mesman, J., van IJzendoorn, M. H., & Pieper, S. (2013) · Learning and Individual Differences · doi:10.1016/j.lindif.2012.10.004 · Cited by 420
“On the other hand, in another study with third and fourth graders, Trail Making Task, which is a commonly used shifting measure, showed significant correlations with math and reading scores, controlling for age (Andersson, 2008).”
Result
Metadata
- 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
- Social Sciences › Psychology › Developmental and Educational Psychology › 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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