The DOI matches its Crossref record; 92 of the 92 references it cites were found in a registry or an index.
The Relationship Between Working Memory and Mathematical Problem Solving in Children at Risk and Not at Risk for Serious Math Difficulties.
Abstract
This study identified cognitive processes that underlie individual differences in working memory (WM) and mathematical problem-solution accuracy in elementary school children at risk and not at risk for serious math difficulties (SMD). A battery of tests was administered that assessed problem solving, achievement, and cognitive processing in children in first (N = 130), second (N = 92) and third grades (N = 131). The results were that (a) younger children and children at risk for SMD performed poorer on WM and problem-solving tasks, as well as measures of math calculation, reading, semantic processing, phonological processing, and inhibition, than older children and children not at risk for SMD and (b) WM predicted solution accuracy of word problems independent of measures of fluid intelligence, reading skill, math skill, knowledge of algorithms, phonological processing, semantic processing, speed, short-term memory, and inhibition. The results support the notion that the executive system is an important predictor of children's problem solving.
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“The independence of the working memory association with severity of learning difficulties from phonological processing skills is also consistent with other findings from studies of children with learning difficulties (e.g., Swanson & Beebe-Frankenberger, 2004).”
From Working memory in children with reading disabilities (2006) · cites this paper as Swanson & Beebe-Frankenberger, 2004
Citations
Cites
Significance tests and goodness of fit in the analysis of covariance structures.
Bentler, P. M., & Bonett, D. G. (1980) · Psychological Bulletin · doi:10.1037/0033-2909.88.3.588 · Cited by 20,015
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
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
The processing-speed theory of adult age differences in cognition
Salthouse, T. A. (1996) · Psychological Review · doi:10.1037/0033-295x.103.3.403 · Cited by 5,902 · cited 2×
“, Chiappe, Hasher, & Siegel, 2000), as well as to speed of processing (Salthouse, 1996) and knowledge (see, e.”
BackgroundA capacity theory of comprehension: individual differences in working memory
Just, M. A., & Carpenter, P. A. (1992) · Psychological Review · doi:10.1037/0033-295x.99.1.122 · Cited by 4,153
Wechsler Intelligence Scale for Children
Miles-Mason, E. (2018) · Sage eBooks · doi:10.4135/9781483392271.n537 · Cited by 4,133
Goodness-of-fit indexes in confirmatory factor analysis: The effect of sample size.
Marsh, H. W., Balla, J. R., & McDonald, R. P. (1988) · Psychological Bulletin · doi:10.1037/0033-2909.103.3.391 · Cited by 3,953
Ericsson, K. A., & Kintsch, W. (1995) · Psychological Review · doi:10.1037/0033-295x.102.2.211 · Cited by 3,498
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
Models of Working Memory: Mechanisms of Active Maintenance and Executive Control
Miyake, A., & Shah, P. (1999) · Cited by 2,404
Exploring the Central Executive
Baddeley, A. (1996) · The Quarterly Journal of Experimental Psychology Section A · doi:10.1080/713755608 · Cited by 2,390
The phonological loop as a language learning device.
Baddeley, A., Gathercole, S., & Papagno, C. (1998) · Psychological Review · doi:10.1037/0033-295x.105.1.158 · Cited by 2,199
Reasoning ability is (little more than) working-memory capacity?!
Kyllonen, P. C., & Christal, R. E. (1990) · Intelligence · doi:10.1016/s0160-2896(05)80012-1 · Cited by 1,810
Bull, R., & Scerif, G. (2001) · Developmental Neuropsychology · doi:10.1207/s15326942dn1903_3 · Cited by 1,501 · cited 1×
“…suggested that specific activities of the central executive related to suppression of irrelevant information and resource monitoring are deficient in children with math and/or reading disabilities (Bull & Scerif, 2001; Chiappe et al., 2000; Passolunghi, Cornoldi, & De Liberto, 1999; Swanson, 1999).”
BackgroundWechsler Individual Achievement Test
Smith, D. R. (2001) · Elsevier eBooks · doi:10.1016/b978-012058570-0/50008-2 · Cited by 1,417
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 · cited 4×
“Baddeley and Logie (1999) stated that a major role of WM " is retrieval of stored long-term knowledge relevant to the tasks at hand, the manipulation and recombination of material allowing the interpretation of novel stimuli, and the discovery of novel information or the solution to problems " (p.…”
BackgroundResultInfluentialComprehensive Test of Phonological Processing
Mitchell, J.-J. (2001) · Assessment for Effective Intervention · doi:10.1177/073724770102600305 · Cited by 1,307
Test of Word Reading Efficiency
Dumont, R., & Willis, J. O. (2008) · Wiley eBooks · doi:10.1002/9780470373699.speced2080 · Cited by 1,271
Access to information in working memory: Exploring the focus of attention.
Oberauer, K. (2002) · Journal of Experimental Psychology Learning Memory and Cognition · doi:10.1037//0278-7393.28.3.411 · Cited by 1,167
Gathercole, S. E., & Baddeley, A. (2014) · Psychology Press eBooks · doi:10.4324/9781315804682 · Cited by 1,111
Conway, A. R. A., Cowan, N., Bunting, M. F., Therriault, D. J., & Minkoff, S. R. B. (2002) · Intelligence · doi:10.1016/s0160-2896(01)00096-4 · Cited by 1,108
The development of mathematical thinking
Ginsburg, H. P. (1983) · Academic Press eBooks · Cited by 967
Salamé, P., & Baddeley, A. (1982) · Journal of Verbal Learning and Verbal Behavior · doi:10.1016/s0022-5371(82)90521-7 · Cited by 906
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
Memory updating in working memory: The role of the central executive
Morris, N., & Jones, D. M. (1990) · British Journal of Psychology · doi:10.1111/j.2044-8295.1990.tb02349.x · Cited by 812
Daneman, M. (1994) · Language and Speech · doi:10.1177/002383099403700409 · Cited by 763
Understanding and solving word arithmetic problems.
Kintsch, W., & Greeno, J. G. (1985) · Psychological Review · doi:10.1037/0033-295x.92.1.109 · Cited by 696
The role of working memory capacity in retrieval.
Rosen, V. M., & Engle, R. W. (1997) · Journal of Experimental Psychology General · doi:10.1037//0096-3445.126.3.211 · Cited by 627
Development of Children's Problem-Solving Ability in Arithmetic.
Riley, M. S. (1984) · Cited by 619
Hecht, S. A., Torgesen, J. K., Wagner, R. K., & Rashotte, C. A. (2001) · Journal of Experimental Child Psychology · doi:10.1006/jecp.2000.2586 · Cited by 588
Gathercole, S. E. (1998) · Journal of Child Psychology and Psychiatry · doi:10.1017/s0021963097001753 · Cited by 581
Understanding and solving word arithmetic problems.
Kintsch, W., & Greeno, J. G. (1985) · Psychological Review · doi:10.1037//0033-295x.92.1.109 · Cited by 560
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
Geary, D. C., Hoard, M. K., & Hamson, C. O. (1999) · Journal of Experimental Child Psychology · doi:10.1006/jecp.1999.2515 · Cited by 467
The multiple faces of working memory
Oberauer, K., Süß, H., Wilhelm, O., & Wittman, W. (2003) · Intelligence · doi:10.1016/s0160-2896(02)00115-0 · Cited by 449
Swanson, H. L., & Sachse-Lee, C. (2001) · Journal of Experimental Child Psychology · doi:10.1006/jecp.2000.2587 · Cited by 443
Self-citationCaplan, B. (2018) · Springer eBooks · doi:10.1007/978-3-319-56782-2_3000-2 · Cited by 426
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
Working Memory: Activation Limitations on Retrieval
Anderson, J. R., Reder, L. M., & Lebiere, C. J. (1996) · Cognitive Psychology · doi:10.1006/cogp.1996.0007 · Cited by 360
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
Language mechanisms and reading disorder: A modular approach
Shankweiler, D., & Crain, S. (1986) · Cognition · doi:10.1016/0010-0277(86)90008-9 · Cited by 307
Memory performance and competencies : issues in growth and development
Weinert, F. E., Schneider, W., & Directions, F. (1995) · Lawrence Erlbaum Associates eBooks · Cited by 301
Working memory, inhibitory control, and reading disability
Chiappe, P., Siegel, L. S., & Hasher, L. (2000) · Memory & Cognition · doi:10.3758/bf03211570 · Cited by 295
A Reevaluation of Working Memory Capacity in Children
Towse, J. N., Hitch, G. J., & Hutton, U. M. Z. (1998) · Journal of Memory and Language · doi:10.1006/jmla.1998.2574 · Cited by 291
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
Increases in Intrusion Errors and Working Memory Deficit of Poor Comprehenders
Béni, R. D., Palladino, P., Pazzaglia, F., & Cornoldi, C. (1998) · The Quarterly Journal of Experimental Psychology Section A · doi:10.1080/713755761 · Cited by 262
Swanson, H. L. (1999) · Journal of Experimental Child Psychology · doi:10.1006/jecp.1998.2477 · Cited by 255
Self-citationThe capacity theory of comprehension: New frontiers of evidence and arguments.
Just, M. A., Carpenter, P. A., & Keller, T. A. (1996) · Psychological Review · doi:10.1037/0033-295x.103.4.773 · Cited by 253
Working memory and intrusions of irrelevant information in a group of specific poor problem solvers
Passolunghi, M. C., Cornoldi, C., & Liberto, S. D. (1999) · Memory & Cognition · doi:10.3758/bf03198531 · Cited by 251
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
Self-citationOn the nature of mathematical thinking
Wiener, N. (1923) · Australasian Journal of Psychology and Philosophy · doi:10.1080/00048402308540650 · Cited by 222
The role of working memory in skilled and less skilled readers' comprehension
Swanson, H. L., & Berninger, V. M. (1995) · Intelligence · doi:10.1016/0160-2896(95)90040-3 · Cited by 218
Self-citationGenerality 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
Self-citationHarrison, J., Buxton, P., Masud Husain, B., & Wise, R. (2000) · British Journal of Clinical Psychology · doi:10.1348/014466500163202 · Cited by 209
Klapp, S. T., Marshburn, E., & Lester, P. T. (1983) · Journal of Experimental Psychology General · doi:10.1037/0096-3445.112.2.240 · Cited by 199
Rehearsal and Organizational Processes in Children's Memory
Ornstein, P. A., Naus, M. J., & Liberty, C. (1975) · Child Development · doi:10.2307/1128385 · Cited by 197
Swanson, H. L., & Ashbaker, M. H. (2000) · Intelligence · doi:10.1016/s0160-2896(99)00025-2 · Cited by 192
Self-citationSupplementing Teacher Judgments of Mathematics Test Accommodations with Objective Data Sources
Fuchs, L. S., Fuchs, D., Eaton, S. B., Hamlett, C. L., & Karns, K. (2000) · School Psychology Review · doi:10.1080/02796015.2000.12085998 · Cited by 190
Individual and age-related differences in children’s working memory
Swanson, H. L. (1996) · Memory & Cognition · doi:10.3758/bf03197273 · Cited by 181
Self-citationSwanson, H. L., & Alexander, J. E. (1997) · Journal of Educational Psychology · doi:10.1037/0022-0663.89.1.128 · Cited by 173
Self-citationBasic processes in memory development : progress in cognitive development research
Brainerd, C. J., & Pressley, M. G. (1985) · Springer eBooks · Cited by 173
Emerging Themes in Cognitive Development
Howe, M. L., & Pasnak, R. (1993) · Springer: New York · doi:10.1007/978-1-4613-9220-0 · Cited by 170
Learning disabled readers working memory as a function of processing demands
Swanson, H. L., Ashbaker, M. H., & Lee, C. (1996) · Journal of Experimental Child Psychology · doi:10.1006/jecp.1996.0016 · Cited by 157
Self-citationDistinguishing short-term memory from working memory
Kail, R. V., & Hall, L. K. (2001) · Memory & Cognition · doi:10.3758/bf03195735 · Cited by 151
Swanson, H. L. (2004) · Memory & Cognition · doi:10.3758/bf03195856 · Cited by 139 · cited 1×
“This model assumes there is variance that is unique to particular systems of WM (executive processing, phonological coding), as well as some shared variance with these systems (see Swanson & Alexander, 1997, for further discussion).”
BackgroundSelf-citationShort-Term Memory Development in Childhood and Adolescence
Dempster, F. N. (1985) · Springer series in cognitive development · doi:10.1007/978-1-4613-9541-6_5 · Cited by 130
Phonological short-term memory contributions to sentence processing in young children
Willis, C., & Gathercole, S. E. (2001) · Memory · doi:10.1080/09658210143000155 · Cited by 125
Age-related differences in learning disabled and skilled readers’ working memory
Swanson, H. L. (2003) · Journal of Experimental Child Psychology · doi:10.1016/s0022-0965(03)00043-2 · Cited by 115
Self-citationOn random generation and the central executive of working memory
Towse, J. N. (1998) · British Journal of Psychology · doi:10.1111/j.2044-8295.1998.tb02674.x · Cited by 113
The Influence of Working Memory and Classification Ability on Children′s Word Problem Solution
Swanson, H. L., Cooney, J. B., & Brock, S. (1993) · Journal of Experimental Child Psychology · doi:10.1006/jecp.1993.1021 · Cited by 110
Self-citationThe Nature of Mathematical Thinking
(2012) · Routledge eBooks · doi:10.4324/9780203053270 · Cited by 108
Sources of developmental change in children's word-problem performance.
Kail, R., & Hall, L. K. (1999) · Journal of Educational Psychology · doi:10.1037/0022-0663.91.4.660 · Cited by 99
Why does memory span improve with age? A review of the evidence for two current hypotheses
Henry, L. A., & Millar, S. (1993) · The European Journal of Cognitive Psychology · doi:10.1080/09541449308520119 · Cited by 90
Comparisons of Cutoff and Regression-Based Definitions of Reading Disabilities
Fletcher, J. M., Espy, K. A., Francis, D. J., Davidson, K. C., Rourke, B. P., & Shaywitz, S. E. (1989) · Journal of Learning Disabilities · doi:10.1177/002221948902200603 · Cited by 86
Measuring Central Executive Functioning: What's in a Reading Span?
Whitney, P. J., Arnett, P. A., Driver, A. C., & Budd, D. (2001) · Brain and Cognition · doi:10.1006/brcg.2000.1243 · Cited by 83
Text Integration and Mathematical Connections: A Computer Model of Arithmetic Word Problem Solving
LeBlanc, M. D., & Russell, S. W. (1996) · Cognitive Science · doi:10.1207/s15516709cog2003_2 · Cited by 74
Capacity-based explanations of working memory growth: A brief history and reevaluation.
Case, R. (1995) · Cited by 73
Baddeley, R. J. (1996) · Nature · doi:10.1038/381560a0 · Cited by 65
Executive processing in learning-disabled readers
Swanson, H. L. (1993) · Intelligence · doi:10.1016/0160-2896(93)90024-y · Cited by 62
Self-citationLeavitt, V. M. (2010) · Springer eBooks · doi:10.1007/978-0-387-79948-3_1059 · Cited by 61
Crain, S., Shankweiler, D., Macaruso, P., & Bar-Shalom, E. G. (1990) · Cambridge University Press eBooks · doi:10.1017/cbo9780511665547.023 · Cited by 53
Brainerd, C. J., & Reyna, V. F. (1993) · Springer eBooks · doi:10.1007/978-1-4613-9220-0_3 · Cited by 48
Arithmetic Problems Formulation and Working Memory Load
Fayol, M., Abdi, H., & Gombert, J.-É. (1987) · Cognition and Instruction · doi:10.1207/s1532690xci0403_3 · Cited by 46
The Role of a Global Mechanism in Developmental Change in Speed of Processing
Kail, R. (1993) · Springer eBooks · doi:10.1007/978-1-4613-9220-0_4 · Cited by 34
Cooney, J. B., & Swanson, H. L. (1990) · Journal of Educational Psychology · doi:10.1037/0022-0663.82.3.570 · Cited by 26
Self-citationLearning disabilities, distinctive encoding, and hemispheric resources
Swanson, H. L. (1991) · Brain and Language · doi:10.1016/0093-934x(91)90125-k · Cited by 15
Self-citationText integration and mathematical connections: A computer model of arithmetic word problem solving
LeBlanc, M. D. (1996) · Cognitive Science · doi:10.1016/s0364-0213(99)80010-x · Cited by 13
Research works printed but not linked: 8
- Baddeley, 1986, Working memory.
- 10.1037/0096-3445.123.4.354 · DOI
- Jöreskog, 1984, LISREL VI: Analysis of linear structural relationships by the method of maximum likelihood. Moores-ville
- Mayer, 1996, The process of understanding mathematical problem solving., 29
- Perfetti, 1985, Reading ability.
- 10.1037/0096-3445.126.3.211 · DOI
- Swanson, 1995, S-Cognitive Processing Test.
- Woodcock, 1998, Woodcock Reading Mastery Test-Revised.
Cited by
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Investigating the predictive roles of working memory and IQ in academic attainment
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Is working memory training effective?
Shipstead, Z., Redick, T. S., & Engle, R. W. (2012) · Psychological Bulletin · doi:10.1037/a0027473 · Cited by 1,101
“By kindergarten, WM capacity is predictive of Gf (Engel de Abreu et al., 2010), and individual differences in WM capacity predict children's verbal and mathematical aptitude (Cowan et al., 2005; Gathercole & Pickering, 2000; Swanson & Beebe-Frankenberger, 2004).”
BackgroundRaghubar, K. P., Barnes, M. A., & Hecht, S. A. (2010) · Learning and Individual Differences · doi:10.1016/j.lindif.2009.10.005 · Cited by 975
“…IQb Readingb DS backward WRAT-3 Arithmetic Siegel and Ryan (1989) Child, ID IQb Readingb Listening span comp., Counting span WRAT Arithmetic Swanson and Beebe-Frankenberger (2004) Child, ID, and Predictor of word problem solving ability Nonverbal IQa,c Algorithm knowledgec Math…”
BackgroundInfluentialEarly 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
“Several other researchers have also found that problems with numerical digit span have been identified with MD (Geary & Brown, 1991; Siegel & Ryan, 1988; Swanson & Beebe-Frankenberger, 2004 ).”
BackgroundWorking 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
“The independence of the working memory association with severity of learning diYculties from phonological awareness skills is also consistent with other Wndings from studies of children with learning diYculties (e.g., Swanson & Beebe-Frankenberger, 2004).”
Metadata
- Authors
- Swanson, H. L., & Beebe-Frankenberger, M.
- Affiliations
- University of California, Riverside (US)
- University of Montana (US)
- ORCID
- Swanson, H. Lee
- Venue
- Journal of Educational Psychology
- Published
- 2004-09
- Volume
- 96
- Issue
- 3
- Pages
- 471-491
- ISSN
- 0022-0663 (ISSN-L)
- 1939-2176
- OpenAlex
- W1965873661
- Cited by
- 638
- References
- 91
- Citations by year
- 2026: 18 · 2025: 17 · 2024: 18 · 2023: 25 · 2022: 25 · 2021: 26 · 2020: 64 · 2019: 39 · 2018: 27 · 2017: 38 · 2016: 36 · 2015: 41 · 2014: 51 · 2013: 39 · 2012: 36
- FWCI
- 11.50
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Educational Psychology (publishedVersion)
- 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
- working memory, mathematical problem solving, vulnerable children, elementary school students, executive function, inhibition, phonological processing, semantic processing, age differences, individual differences
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