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Socioeconomic variation, number competence, and mathematics learning difficulties in young children
Open accessAbstract
As a group, children from disadvantaged, low‐income families perform substantially worse in mathematics than their counterparts from higher‐income families. Minority children are disproportionately represented in low‐income populations, resulting in significant racial and social‐class disparities in mathematics learning linked to diminished learning opportunities. The consequences of poor mathematics achievement are serious for daily functioning and for career advancement. This article provides an overview of children's mathematics difficulties in relation to socioeconomic status (SES). We review foundations for early mathematics learning and key characteristics of mathematics learning difficulties. A particular focus is the delays or deficiencies in number competencies exhibited by low‐income children entering school. Weaknesses in number competence can be reliably identified in early childhood, and there is good evidence that most children have the capacity to develop number competence that lays the foundation for later learning. © 2009 Wiley‐Liss, Inc. Dev Disabil Res Rev 2009;15:60–68.
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Citations
Cites
National Council of Teachers of Mathematics
(1979) · The Mathematics Teacher · doi:10.5951/mt.72.8.0637 · Cited by 8,499
Adding It Up: Helping Children Learn Mathematics
Kilpatrick, J., Swafford, J. O., & Findell, B. R. (2013) · DSpace Biblioteca Universidad de Talca (Universidad de Talca) · Cited by 4,081
Feigenson, L., Dehaene, S., & Spelke, E. (2004) · Trends in Cognitive Sciences · doi:10.1016/j.tics.2004.05.002 · Cited by 2,466
The Number Sense: How the Mind Creates Mathematics.
Hersh, R., & Dehaene, S. (1998) · The American Mathematical Monthly · doi:10.2307/2589308 · Cited by 2,052
The number sense: how the mind creates mathematics
(1998) · Choice Reviews Online · doi:10.5860/choice.35-4185 · Cited by 1,969
Addition and subtraction by human infants
Wynn, K. (1992) · Nature · doi:10.1038/358749a0 · Cited by 1,844
Advances in Child Development and Behavior
(2008) · Advances in Child Development and Behavior · doi:10.1016/s0065-2407(08)00013-x · Cited by 1,758
The Child's Understanding of Number
Fuson, K. C., Gelman, R., & Gallistel, C. R. (1979) · Journal for Research in Mathematics Education · doi:10.2307/748455 · Cited by 1,717
The Child's Understanding of Number
Easley, U. A., Gelman, R., & Galistell, C. H. (1979) · Educational Researcher · doi:10.2307/1175067 · Cited by 1,649
Large number discrimination in 6-month-old infants
Xu, F., & Spelke, E. S. (2000) · Cognition · doi:10.1016/s0010-0277(99)00066-9 · Cited by 1,531
The Handbook of Mathematical Cognition
Campbell, J. I. D. (2005) · Psychology Press eBooks · doi:10.4324/9780203998045 · Cited by 1,494
Development itself is the key to understanding developmental disorders
Karmiloff-Smith, A. (1998) · Trends in Cognitive Sciences · doi:10.1016/s1364-6613(98)01230-3 · Cited by 1,299
Exact and Approximate Arithmetic in an Amazonian Indigene Group
Pica, P., Lemer, C., Izard, V., & Dehaene, S. (2004) · Science · doi:10.1126/science.1102085 · Cited by 1,298
Children’s Counting and Concepts of Number
Fuson, K. C. (1988) · Springer Series in Cognitive Development · doi:10.1007/978-1-4612-3754-9 · Cited by 1,293
Mathematics and Learning Disabilities
Geary, D. C. (2004) · Journal of Learning Disabilities · doi:10.1177/00222194040370010201 · Cited by 1,245
Children's understanding of counting
Wynn, K. (1990) · Cognition · doi:10.1016/0010-0277(90)90003-3 · Cited by 1,216
Early math matters: Kindergarten number competence and later mathematics outcomes.
Jordan, N. C., Kaplan, D., Ramineni, C., & Locuniak, M. N. (2009) · Developmental Psychology · doi:10.1037/a0014939 · Cited by 1,133
Self-citationNumerical Cognition Without Words: Evidence from Amazonia
Gordon, P. (2004) · Science · doi:10.1126/science.1094492 · Cited by 1,078
The Development of Numerical Estimation: Evidence for Multiple Representations of Numerical Quantity
Siegler, R. S., & Opfer, J. E. (2003) · Psychological Science · doi:10.1111/1467-9280.02438 · Cited by 1,045
Development of Numerical Estimation in Young Children
Siegler, R. S., & Booth, J. L. (2004) · Child Development · doi:10.1111/j.1467-8624.2004.00684.x · Cited by 1,011
Developmental dyscalculia and basic numerical capacities: a study of 8–9-year-old students
Landerl, K., Bevan, A., & Butterworth, B. (2004) · Cognition · doi:10.1016/j.cognition.2003.11.004 · Cited by 907
Geary, D. C., Hoard, M. K., Byrd-Craven, J., Nugent, L., & Numtee, C. (2007) · Child Development · doi:10.1111/j.1467-8624.2007.01069.x · Cited by 824
Early Identification and Interventions for Students With Mathematics Difficulties
Gersten, R., Jordan, N. C., & Flojo, J. R. (2005) · Journal of Learning Disabilities · doi:10.1177/00222194050380040301 · Cited by 823
Self-citationLe Corre, M., & Carey, S. (2007) · Cognition · doi:10.1016/j.cognition.2006.10.005 · Cited by 731
Developmental and individual differences in pure numerical estimation.
Booth, J. L., & Siegler, R. S. (2006) · Developmental Psychology · doi:10.1037/0012-1649.41.6.189 · Cited by 726
Early Childhood Mathematics Education Research: Learning Trajectories for Young Children
Sarama, J., & Clements, D. H. (2009) · Routledge eBooks · doi:10.4324/9780203883785 · Cited by 716
Ramani, G. B., & Siegler, R. S. (2008) · Child Development · doi:10.1111/j.1467-8624.2007.01131.x · Cited by 708
Jordan, N. C., Kaplan, D., Nabors Oláh, L., & Locuniak, M. N. (2006) · Child Development · doi:10.1111/j.1467-8624.2006.00862.x · Cited by 696
Self-citationGeary, D. C., Hamson, C. O., & Hoard, M. K. (2000) · Journal of Experimental Child Psychology · doi:10.1006/jecp.2000.2561 · Cited by 665
Early Childhood Mathematics Education Research: Learning Trajectories for Young Children
Sarama, J. H., & Clements, D. H. (2009) · Medical Entomology and Zoology · Cited by 654
Perception of Numerical Invariance in Neonates
Antell, S. E., & Keating, D. P. (1983) · Child Development · doi:10.1111/j.1467-8624.1983.tb00495.x · Cited by 651
Handbook of research on the education of young children
(2006) · Choice Reviews Online · doi:10.5860/choice.43-6671 · Cited by 623
Predicting First–Grade Math Achievement from Developmental Number Sense Trajectories
Jordan, N. C., Kaplan, D., Locuniak, M. N., & Ramineni, C. (2007) · Learning Disabilities Research & Practice · doi:10.1111/j.1540-5826.2007.00229.x · Cited by 604
Self-citationNumerical Magnitude Representations Influence Arithmetic Learning
Booth, J. L., & Siegler, R. S. (2008) · Child Development · doi:10.1111/j.1467-8624.2008.01173.x · Cited by 601
How counting represents number: What children must learn and when they learn it
Sarnecka, B. W., & Carey, S. (2008) · Cognition · doi:10.1016/j.cognition.2008.05.007 · Cited by 528
Preschool children's mathematical knowledge: The effect of teacher "math talk."
Klibanoff, R. S., Levine, S. C., Huttenlocher, J., Vasilyeva, M., & Hedges, L. V. (2006) · Developmental Psychology · doi:10.1037/0012-1649.42.1.59 · Cited by 519
Self-citationGeary, D. C. (1995) · American Psychologist · doi:10.1037//0003-066x.50.1.24 · Cited by 493
Evaluating Montessori education.
Lillard, A., & Else-Quest, N. (2006) · Science · doi:10.1126/science.1132362 · Cited by 482
Making Sense of Number Sense: Implications for Children With Mathematical Disabilities
Berch, D. B. (2005) · Journal of Learning Disabilities · doi:10.1177/00222194050380040901 · Cited by 480
Jordan, N. C., Hanich, L. B., & Kaplan, D. (2003) · Child Development · doi:10.1111/1467-8624.00571 · Cited by 466
Self-citationTracking individuals via object‐files: evidence from infants’ manual search
Feigenson, L., & Carey, S. (2003) · Developmental Science · doi:10.1111/1467-7687.00313 · Cited by 458
Playing linear numerical board games promotes low‐income children's numerical development
Siegler, R. S., & Ramani, G. B. (2008) · Developmental Science · doi:10.1111/j.1467-7687.2008.00714.x · Cited by 439
Social Processes in Early Number Development
Saxe, G. B., Guberman, S. R., Gearhart, M., Gelman, R., Massey, C. M., & Rogoff, B. (1987) · Monographs of the Society for Research in Child Development · doi:10.2307/1166071 · Cited by 437
The Psychology of Mathematics for Instruction
Curcio, F. R., Moser, J. M., Resnick, L. B., & Ford, W. W. (1982) · Journal for Research in Mathematics Education · doi:10.2307/748558 · Cited by 427
Bootstrapping & the origin of concepts
Carey, S. (2004) · Daedalus · doi:10.1162/001152604772746701 · Cited by 416
What Makes Us Smart? Core Knowledge and Natural Language
Spelke, E. S. (2003) · Language in Mind · doi:10.7551/mitpress/4117.003.0017 · Cited by 398
Experimental Evaluation of the Effects of a Research-Based Preschool Mathematics Curriculum
Clements, D. H., & Sarama, J. (2008) · American Educational Research Journal · doi:10.3102/0002831207312908 · Cited by 388
Performance across different areas of mathematical cognition in children with learning difficulties.
Hanich, L. B., Jordan, N. C., Kaplan, D., & Dick, J. (2001) · Journal of Educational Psychology · doi:10.1037//0022-0663.93.3.615 · Cited by 364
Self-citationA featural analysis of preschoolers' counting knowledge.
Briars, D. J., & Siegler, R. S. (1984) · Developmental Psychology · doi:10.1037//0012-1649.20.4.607 · Cited by 337
Re-visiting the competence/performance debate in the acquisition of the counting principles
LECORRE, M., VANDEWALLE, G., BRANNON, E., & CAREY, S. (2006) · Cognitive Psychology · doi:10.1016/j.cogpsych.2005.07.002 · Cited by 322
Variation, selection, and cognitive change.
Siegler, R. S., & Shipley, C. (1995) · Cited by 319
Arithmetic fact mastery in young children: A longitudinal investigation
Jordan, N. C., Hanich, L. B., & Kaplan, D. (2003) · Journal of Experimental Child Psychology · doi:10.1016/s0022-0965(03)00032-8 · Cited by 314
Self-citationJordan, N. C., & Montani, T. O. (1997) · Journal of Learning Disabilities · doi:10.1177/002221949703000606 · Cited by 301
Self-citationKindergarten Predictors of Math Learning Disability
Mazzocco, M. M. M., & Thompson, R. E. (2005) · Learning Disabilities Research and Practice · doi:10.1111/j.1540-5826.2005.00129.x · Cited by 301
Multiple cues for quantification in infancy: Is number one of them?
Mix, K. S., Huttenlocher, J., & Levine, S. C. (2002) · Psychological Bulletin · doi:10.1037//0033-2909.128.2.278 · Cited by 300
Self-citationUsing Kindergarten Number Sense to Predict Calculation Fluency in Second Grade
Locuniak, M. N., & Jordan, N. C. (2008) · Journal of Learning Disabilities · doi:10.1177/0022219408321126 · Cited by 300
Self-citationNumber development in young children
Schaeffer, B., Eggleston, V. H., & Scott, J. L. (1974) · Cognitive Psychology · doi:10.1016/0010-0285(74)90017-6 · Cited by 296
The Development of Numerical Understandings
Siegler, R. S., & Robinson, M. (1982) · Advances in Child Development and Behavior · doi:10.1016/s0065-2407(08)60072-5 · Cited by 289
A componential analysis of an early learning deficit in mathematics
Geary, D. C. (1990) · Journal of Experimental Child Psychology · doi:10.1016/0022-0965(90)90065-g · Cited by 277
Individual Differences in Arithmetic
Dowker, A. (2005) · Psychology Press eBooks · doi:10.4324/9780203324899 · Cited by 277
Blevins-Knabe, B., & Musun-Miller, L. (1996) · Early Development and Parenting · doi:10.1002/(sici)1099-0917(199603)5:1<35::aid-edp113>3.0.co;2-0 · Cited by 269
Libertus, M. E., Duong, S., & Silver, A. (2020) · Encyclopedia of Infant and Early Childhood Development · doi:10.1016/b978-0-12-809324-5.23573-6 · Cited by 266
A mental model for early arithmetic.
Huttenlocher, J., Jordan, N. C., & Levine, S. C. (1994) · Journal of Experimental Psychology: General · doi:10.1037//0096-3445.123.3.284 · Cited by 245
Self-citationBuilding number sense with Number Worlds: a mathematics program for young children
Griffin, S. (2004) · Early Childhood Research Quarterly · doi:10.1016/j.ecresq.2004.01.012 · Cited by 245
Differential calculation abilities in young children from middle- and low-income families.
Jordan, N. C., Huttenlocher, J., & Levine, S. C. (1992) · Developmental Psychology · doi:10.1037//0012-1649.28.4.644 · Cited by 242
Self-citationSocial Class and Racial Influences on Early Mathematical Thinking
Ginsburg, H. P., & Russell, R. L. (1981) · Monographs of the Society for Research in Child Development · doi:10.2307/1165946 · Cited by 236
Jordon, N. C., Kaplan, D., & Hanich, L. B. (2002) · Journal of Educational Psychology · doi:10.1037/0022-0663.94.3.586 · Cited by 236
Development of calculation abilities in young children
Levine, S. C., Jordan, N. C., & Huttenlocher, J. (1992) · Journal of Experimental Child Psychology · doi:10.1016/s0022-0965(05)80005-0 · Cited by 228
Self-citationCognitive Analysis of Children's Mathematics Difficulties
Russell, R. L., & Ginsburg, H. P. (1984) · Cognition and Instruction · doi:10.1207/s1532690xci0102_3 · Cited by 227
Quantitative Development in Infancy and Early Childhood
(2002) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780195123005.001.0001 · Cited by 223
The Development of Counting Strategies for Single-Digit Addition
Baroody, A. J. (1987) · Journal for Research in Mathematics Education · doi:10.2307/749248 · Cited by 205
Math learning disorder: incidence in a population-based birth cohort, 1976-82, Rochester, Minn
Barbaresi, W. J., Katusic, S. K., Colligan, R. C., Weaver, A. L., & Jacobsen, S. J. (2005) · Ambulatory Pediatrics · doi:10.1367/a04-209r.1 · Cited by 198
The relationship between initial meaningful and mechanical knowledge of arithmetic
Baroody, A. J., & Ginsburg, H. P. (1986) · doi:10.4324/9780203063538-9 · Cited by 193
From numerical concepts to concepts of number
Rips, L. J., Bloomfield, A., & Asmuth, J. (2008) · Behavioral and Brain Sciences · doi:10.1017/s0140525x08005566 · Cited by 164
(2014) · Handbook of Research on the Education of Young Children · doi:10.4324/9781315045511-20 · Cited by 164
Hasselbring, T. S., Goin, L. I., & Bransford, J. D. (1988) · Focus on Exceptional Children · doi:10.17161/foec.v20i6.7504 · Cited by 157
External validation of the strategy choice model for addition
Geary, D. C., & Burlingham-Dubree, M. (1989) · Journal of Experimental Child Psychology · doi:10.1016/0022-0965(89)90028-3 · Cited by 156
Development of number combination skill in the early school years: when do fingers help?
Jordan, N. C., Kaplan, D. E., Ramineni, C., et al. (2008) · Developmental Science · doi:10.1111/j.1467-7687.2008.00715.x · Cited by 144
Self-citationPreschoolers doing arithmetic: The concepts are willing but the working memory is weak.
Klein, J. S., & Bisanz, J. (2000) · Canadian Journal of Experimental Psychology/Revue canadienne de psychologie expérimentale · doi:10.1037/h0087333 · Cited by 143
Mathematics achievement as a function of language.
Miura, I. T. (1987) · Journal of Educational Psychology · doi:10.1037/0022-0663.79.1.79 · Cited by 141
Jordan, N. C., Huttenlocher, J., & Levine, S. C. (1994) · Learning and Individual Differences · doi:10.1016/1041-6080(94)90003-5 · Cited by 125
Self-citationHolloway, S. D., Rambaud, M. F., Fuller, B. C., & Eggers-Piérola, C. (1995) · Early Childhood Research Quarterly · doi:10.1016/0885-2006(95)90016-0 · Cited by 125
Improving the Numerical Understanding of Children From Low-Income Families
Siegler, R. S. (2009) · Child Development Perspectives · doi:10.1111/j.1750-8606.2009.00090.x · Cited by 115
Ostad, S. A. (1998) · Mathematical Cognition · doi:10.1080/135467998387389 · Cited by 114
The startled seahorse: is the hippocampus necessary for contextual fear conditioning?
Maren, S., Anagnostaras, S., & Fanselow, M. S. (1998) · Trends in Cognitive Sciences · doi:10.1016/s1364-6613(98)01123-1 · Cited by 112
Case, R., & Griffin, S. (1990) · Advances in psychology · doi:10.1016/s0166-4115(08)60099-0 · Cited by 110
Construction and Evaluation of a Number Sense Test With Head Start Children.
Malofeeva, E. V., Day, J. D., Saco, X., et al. (2004) · Journal of Educational Psychology · doi:10.1037/0022-0663.96.4.648 · Cited by 109
Children's Relational Knowledge of Addition and Subtraction
Baroody, A. J. (1999) · Cognition and Instruction · doi:10.1207/s1532690xci170201 · Cited by 94
Lubienski, S. T. (2000) · The Elementary School Journal · doi:10.1086/499647 · Cited by 92
Ostad, S. A. (1999) · European Journal of Special Needs Education · doi:10.1080/0885625990140103 · Cited by 83
Jordan, N. C., Levine, S. C., & Huttenlocher, J. (1994) · Journal of Applied Developmental Psychology · doi:10.1016/0193-3973(94)90014-0 · Cited by 67
Self-citationInformation Processing and Educational Microcomputer Technology: Where Do We Go from Here?
Goldman, S. R., & Pellegrino, J. W. (1987) · Journal of Learning Disabilities · doi:10.1177/002221948702000302 · Cited by 67
Information processing deficits in dyscalculia.
Butterworth, B. L., & Reigosa, V. (2007) · UCL Discovery (University College London) · Cited by 62
The development of preschoolers' counting skills and principles.
Baroody, A. J. (1992) · Cited by 62
Mix, K. S., Sandhofer, C. M., & Baroody, A. J. (2005) · Advances in child development and behavior · doi:10.1016/s0065-2407(05)80011-4 · Cited by 52
Social Class, Poverty, and Education: Policy and Practice
Cottle, T. J. (2002) · Teachers College Record The Voice of Scholarship in Education · doi:10.1177/01614681200210405896 · Cited by 52
Evolution of cognitive processes for solving simple additions during the first three school years
Svenson, O., & Sjöberg, K. (1983) · Scandinavian Journal of Psychology · doi:10.1111/j.1467-9450.1983.tb00483.x · Cited by 50
Early intervention for children at risk of developing mathematical learning difficulties.
Griffin, S. (2007) · Cited by 24
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Purpura, D. J., & Reid, E. E. (2016) · Early Childhood Research Quarterly · doi:10.1016/j.ecresq.2015.12.020 · Cited by 283
Math talk during informal learning activities in Head Start families
Ramani, G. B., Rowe, M. L., Eason, S. H., & Leech, K. A. (2015) · Cognitive Development · doi:10.1016/j.cogdev.2014.11.002 · Cited by 277
Does puberty mark a transition in sensitive periods for plasticity in the associative neocortex?
Piekarski, D. J., Johnson, C. M., Boivin, J. R., Thomas, A. W., Lin, W. C., Delevich, K., M. Galarce, E., & Wilbrecht, L. (2017) · Brain Research · doi:10.1016/j.brainres.2016.08.042 · Cited by 175
Raising early achievement in math with interactive apps: A randomized control trial.
Outhwaite, L. A., Faulder, M., Gulliford, A., & Pitchford, N. J. (2019) · Journal of Educational Psychology · doi:10.1037/edu0000286 · Cited by 124
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Metadata
- Authors
- Jordan, N. C., & Levine, S. C.
- Venue
- Developmental Disabilities Research Reviews
- Publisher
- Wiley
- Published
- 2009-01
- Volume
- 15
- Issue
- 1
- Pages
- 60-68
- ISSN
- 1940-5510 (ISSN-L)
- 1940-5529
- OpenAlex
- W2054296176
- Cited by
- 349
- References
- 98
- FWCI
- 6.29
- Type
- journal article
- Language
- en
- Open access
- bronze
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