Early Foundations for Mathematics Learning and Their Relations to Learning Disabilities

Current Directions in Psychological Science

Volumn 22, Issue 1, 2013, Pages 23-27

  Geary, David C ^a  

^a UNIVERSITY OF MISSOURI   (United States)

Author keywords

attention; evolution; learning disabilities; mathematics; numbers

Indexed keywords

EID: 84872792312     PISSN: 09637214     EISSN: 14678721     Source Type: Journal    
DOI: 10.1177/0963721412469398     Document Type: Review

References (34)

1. Baer J.,Kutner M.,Sabatini J.,White S.Basic reading skills and the literacy of America's least literate adults: Results from the 2003 National Assessment of Adult Literacy (NAAL) supplemental studies. Washington, DC: U.S. Department of Education; 2009:.
2. Bugden S.,Ansari D.Individual differences in children's mathematical competence are related to the intentional but not automatic processing of Arabic numerals.Cognition. 2011;118:32-44.
3. Butterworth B.,Varma S.,Laurillard D.Dyscalculia: From brain to education.Science. 2011;332:1049-1053.
4. Bynner J.Basic skills in adolescents' occupational preparation.Career Development Quarterly. 1997;45:305-321.
5. Cho S.,Metcalfe A. W. S.,Young C. B.,Ryali S.,Geary D. C.,Menon V.Hippocampal-prefrontal engagement and dynamic causal interactions in the maturation of children's fact retrieval.Journal of Cognitive Neuroscience. 2012;24:1849-1866.
6. Clark C. A. C.,Pritchard V. E.,Woodward L. J.Preschool executive functioning abilities predict early mathematics achievement.Developmental Psychology. 2010;46:1176-1191.
7. Clements D. H.,Sarama J.,Spitler M. E.,Lange A. A.,Wolfe C. B.Mathematics learned by young children in an intervention based on learning trajectories: A large-scale cluster randomized trial.Journal for Research in Mathematics Education. 2011;42:127-166.
8. Dehaene S.,Piazza M.,Pinel P.,Cohen L.Three parietal circuits for number processing.Cognitive Neuropsychology. 2003;20:487-506.
9. Duncan G. J.,Dowsett C. J.,Claessens A.,Magnuson K.,Huston A. C.,Klebanov P., Japel C.School readiness and later achievement.Developmental Psychology. 2007;43:1428-1446.
10. Engle R. W.,Kane M. J.,Tuholski S. W.Models of working memory: Mechanisms of active maintenance and executive control. Miyake A.Shah P., ed. Cambridge, England: Cambridge University Press; 1999:102-134.
11. Feigenson L.,Dehaene S.,Spelke E.Core systems of number.Trends in Cognitive Sciences. 2004;8:307-314.
12. Fuchs L. S.,Geary D. C.,Compton D. L.,Fuchs D.,Schatschneider C.,Hamlett C. L., Changas P.Understanding and promoting at-risk learners' mathematics development in first grade: A randomized control trial.Journal of Educational Psychology. in press;:.
13. Geary D. C.The origin of mind: Evolution of brain, cognition, and general intelligence. Washington, DC: American Psychological Association; 2005:.
14. Geary D. C.,Hoard M. K.,Byrd-Craven J.,Nugent L.,Numtee C.Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability.Child Development. 2007;78:1343-1359.
15. Geary D. C.,Hoard M. K.,Nugent L.Independent contributions of the central executive, intelligence, and in-class attentive behavior to developmental change in the strategies used to solve addition problems.Journal of Experimental Child Psychology. 2012;113:49-65.
16. Geary D. C.,Hoard M. K.,Nugent L.,Bailey D. H.Mathematical cognition deficits in children with learning disabilities and persistent low achievement: A five-year prospective study.Journal of Educational Psychology. 2012;104:206-223.
17. Geary D. C.,Hoard M. K.,Nugent L.,Byrd-Craven J.Development of number line representations in children with mathematical learning disability.Developmental Neuropsychology. 2008;33:277-299.
18. Gersten R.,Ferrini-Mundy J.,Benbow D.,Clements D. H.,Loveless T.,Williams V., Banfield M.National mathematics advisory panel, reports of the task groups and subcommittees. Washington, DC: United States Department of Education; 2008: 224.
19. Halberda J.,Feigenson L.Developmental change in the acuity of the "number sense": The approximate number system in 3-, 4-, 5-, and 6-year-olds and adults.Developmental Psychology. 2008;44:1457-1465.
20. Hudson C.,Price D.,Gross J.The long-term costs of numeracy difficulties. London, England: Every Child a Chance Trust; 2009:.
21. Huttenlocher J.,Jordan N. C.,Levine S. C.A mental model for early arithmetic.Journal of Experimental Psychology: General. 1994;123:284-296.
22. Iuculano T.,Tang J.,Hall C. W. B.,Butterworth B.Core information processing deficits in developmental dyscalculia and low numeracy.Developmental Science. 2008;11:669-680.
23. Jordan N. C.,Hanich L. B.,Kaplan D.A longitudinal study of mathematical competencies in children with specific mathematics difficulties versus children with comorbid mathematics and reading difficulties.Child Development. 2003;74:834-850.
24. Lyons I. M.,Beilock S. L.Numerical ordering ability mediates the relation between number-sense and arithmetic competence.Cognition. 2011;121:256-261.
25. Mazzocco M. M. M.,Feigenson L.,Halberda J.Impaired acuity of the approximate number system underlies mathematical learning disability (dyscalculia).Child Development. 2011a;82:1224-1237.
26. Mazzocco M. M. M.,Feigenson L.,Halberda J.Preschoolers' precision of the approximate number system predicts later school mathematics performance.PLoS ONE. 2011b;6 (9): e23749.
27. Murphy M. M.,Mazzocco M. M. M.,Hanich L. B.,Early M. C.Cognitive characteristics of children with mathematics learning disability (MLD) vary as a function of the cutoff criterion used to define MLD.Journal of Learning Disabilities. 2007;40:458-478.
28. Nieder A.Prefrontal cortex and the evolution of symbolic reference.Current Opinion in Neurobiology. 2009;19:99-108.
29. Noël M.-P.Counting on working memory when learning to count and add: A preschool study.Developmental Psychology. 2009;45:1630-1643.
30. Piazza M.,Facoetti A.,Trussardi A. N.,Berteletti I.,Conte S.,Lucangeli D.,. Zorzi M.Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia.Cognition. 2010;116:33-41.
31. Rivera-Batiz F.Quantitative literacy and the likelihood of employment among young adults in the United States.Journal of Human Resources. 1992;27:313-328.
32. Rousselle L.,Noël M.-P.Basic numerical skills in children with mathematical learning disabilities: A comparison of symbolic vs. non-symbolic number magnitude processing.Cognition. 2007;102:361-395.
33. Swanson H. L.,Jerman O.,Zheng X.Growth in working memory and mathematical problem solving in children at risk and not at risk for serious math difficulties.Journal of Educational Psychology. 2008;100:343-379.
34. Xu F.,Spelke E. S.Large number discrimination in 6-month-old infants.Cognition. 2000;74:B1-B11.