Adolescents' Functional Numeracy Is Predicted by Their School Entry Number System Knowledge

PLoS ONE

Volumn 8, Issue 1, 2013, Pages

  Geary, David C ^a   Hoard, Mary K ^a   Nugent, Lara ^a   Bailey, Drew H ^b  

^a UNIVERSITY OF MISSOURI   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACADEMIC ACHIEVEMENT; ADOLESCENCE; ADOLESCENT; ARITHMETIC; ARTICLE; ATTENTION; CHILD DEVELOPMENT; COGNITION; COGNITIVE DEVELOPMENT; FEMALE; FUNCTIONAL NUMERACY; HUMAN; HUMAN EXPERIMENT; INTELLIGENCE; LEARNING; LONGITUDINAL STUDY; MALE; MATHEMATICS; MATHEMATICS LEARNING; MENTAL PERFORMANCE; NUMBER SYSTEM KNOWLEDGE; PROBLEM SOLVING; PSYCHOLOGIC ASSESSMENT; RESPONSE TIME; TASK PERFORMANCE; WORKING MEMORY;

ACHIEVEMENT; ADOLESCENT; CHILD; FEMALE; HUMANS; INTELLIGENCE; LONGITUDINAL STUDIES; MALE; MATHEMATICS; MEMORY, SHORT-TERM; MENTAL COMPETENCY;

EID: 84873862424     PISSN: None     EISSN: 19326203     Source Type: Journal    
DOI: 10.1371/journal.pone.0054651     Document Type: Article

References (47)

1. United States Center for Educational Statistics, The Condition of Education 2007 (NCES 2007-064). National Center for Educational Statistics website. Available: http://nces.ed.gov/programs/coe/indicator_nal.asp. Accessed 2012 Aug 17.
2. Bynner J, (1997) Basic skills in adolescents' occupational preparation. Career Dev Q 45: 305-321.
3. Berlin G, Sum G (1988) Toward a more perfect union: Basic skills, poor families, and our economic future. New York: Ford Foundation. 99 p.
4. Hanushek EH, Woessmann L, (2008) The role of cognitive skills in economic development. J Econ Lit 46: 607-668.
5. Parsons S, Bynner J, (1997) Numeracy and employment. Educ Train 39: 43-51.
6. Rivera-Batiz F, (1992) Quantitative literacy and the likelihood of employment among young adults in the United States. J Hum Resour 27: 313-328.
7. Hudson C, Price D, Gross J (2009) The long-term costs of numeracy difficulties. London, UK: Every Child a Chance Trust. 55 p.
8. Budgen S, Ansari D, (2011) Individual differences in children's mathematical competence are related to the intentional but not automatic processing of Arabic numerals. Cogn 118: 32-44.
9. Fuchs L, Geary DC, Compton DL, Fuchs D, Hamlett CL, et al. (2010) Do different types of school mathematics development depend on different constellations of numerical versus general cognitive abilities? Dev Psychol 46: 1731-1746.
10. Geary DC, (2011) Cognitive predictors of individual differences in achievement growth in mathematics: A five year longitudinal study. Dev Psychol 47: 1539-1552.
11. Jordan NC, Kaplan D, Ramineni C, Locuniak MN, (2009) Early math matters: Kindergarten number competence and later mathematics outcomes. Dev Psychol 45: 850-867.
12. LeFevre J-A, Fast L, Skwarchuk S-L, Smith-Chant BL, Bisanz J, et al. (2010) Pathways to mathematics: Longitudinal predictors of performance. Child Dev 81: 1753-1767.
13. Siegler RS, Booth JL, (2004) Development of numerical estimation in young children. Child Dev 75: 428-444.
14. Mazzocco MMM, Feigenson L, Halberda J, (2011) Impaired acuity of the approximate number system underlies mathematical learning disability (Dyscalculia). Child Dev 82: 1224-1237.
15. Duncan GJ, Dowsett CJ, Claessens A, Magnuson K, Huston AC, et al. (2007) School readiness and later achievement. Dev Psychol 43: 1428-1446.
16. Deary IJ, Strand S, Smith P, Fernandes C, (2007) Intelligence and educational achievement. Intell 35: 13-21.
17. Fuchs LS, Fuchs D, Compton DL, Powell SR, Seethaler PM, et al. (2006) The cognitive correlates of third-grade skill in arithmetic, algorithmic computation, and arithmetic word problems. J Educ Psychol 98: 29-43.
18. Geary DC (2010) Missouri longitudinal study of mathematical development and disability. In: Cowan, R, Saxton M, Tolmie A editors. Understanding number development and difficulties. BJEP Monograph Series II (No. 7). Leicester: The British Psychological Society. 31-49.
19. Geary DC, Hoard MK, Nugent L, Bailey DH, (2012) Mathematical cognition deficits in children with learning disabilities and persistent low achievement: A five year prospective study. J Educ Psychol 104: 206-223.
20. SAS Institute (2004) Statistical analysis system 7.5. Cary, NC: Author. 1686 p.
21. Wechsler D (1999) Wechsler Abbreviated Scale of Intelligence. San Antonio, TX: PsychCorp, Harcourt Assessment, Inc. 226 p.
22. Wechsler D (2001) Wechsler Individual Achievement Test-II-Abbreviated Manual. San Antonio, TX: The Psychological Corporation, Harcourt Brace & Co. 206 p.
23. Raven JC, Court JH, Raven J (1993). Manual for Raven's Progressive Matrices and Vocabulary Scales. London: H. K. Lewis & Co. 546 p.
24. Geary DC, (1990) A componential analysis of an early learning deficit in mathematics. J Exp Child Psychol 49: 363-383.
25. Siegler RS, (1987) The perils of averaging data over strategies: An example from children's addition. J Exp Psychol: Gen 116: 250-264.
26. Geary DC, Hoard MK, Bailey DH, (2012) Fact retrieval deficits in low achieving children and children with mathematical learning disability. J Learn Disabil 45: 291-307.
27. Geary DC, Hoard MK, Byrd-Craven J, Nugent L, Numtee C, (2007) Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability. Child Dev 78: 1343-1359.
28. Geary DC, Bailey DH, Hoard MK, (2009) Predicting mathematical achievement and mathematical learning disability with a simple screening tool: The number sets test. J Psychoeduc Assess 27: 265-279.
29. Siegler RS, Booth JL, (2004) Development of numerical estimation in young children. Child Dev 75: 428-444.
30. Booth JL, Siegler RS, (2006) Developmental and individual differences in pure numerical estimation. Dev Psychol 41: 189-201.
31. Feigenson L, Dehaene S, Spelke E, (2004) Core systems of number. Trends Cogn Sci 8: 307-314.
32. Núñez R, (2009) Numbers and arithmetic: Neither hardwired nor out there. Biol Theory 4: 68-83.
33. Gallistel CR, Gelman R, (1992) Preverbal and verbal counting and computation. Cogn 44: 43-74.
34. Gorsuch RL (1983) Factor analysis (second ed.). Hillsdale, NJ: Erlbaum. 425 p.
35. Pickering S, Gathercole S (2001) Working Memory Test Battery for Children (WMTB-C) Manual. London: Psychological Corporation Ltd. 174 p.
36. Swanson JM, Schuck S, Mann M, Carlson C, Hartman K, et al. (2008) Categorical and dimensional definitions and evaluations of symptoms of ADHD: The SNAP and the SWAN rating scales. Available: http://www.adhd.net/SNAP_SWAN.pdf. Accessed 2008 Sept 17.
37. Ekstrom RB, French JW, Harman HH (1976) Manual for kit of factor-referenced cognitive tests 1976. Princeton, NJ: Educational Testing Service. 224 p.
38. Geary DC, Hamson CO, Chen GP, Liu F, Hoard MK, et al. (1997) Computational and reasoning abilities in arithmetic: Cross-generational change in China and the United States. Psychon Bull Rev 4: 425-430.
39. Hecht SA, (1998) Toward an information-processing account of individual differences in fraction skills. J Educ Psychol 90: 545-559.
40. Siegler RS, Duncan GJ, Davis-Kean PE, Duckworth K, Claessens A, et al. (2012) Early predictors of high school mathematics achievement. Psychol Sci 23: 691-697.
41. Hecht SA, Close L, Santisi M, (2003) Sources of individual differences in fraction skills. J Exp Child Psychol 86: 277-302.
42. Halberda J, Feigenson L, (2008) Developmental change in the acuity of the "number sense": The approximate number system in 3-, 4-, 5-, and 6-year-olds and adults. Dev Psychol 44: 1457-146.
43. Bailey DH, Hoard MK, Nugent L, Geary DC, (2012) Competence with fractions predicts gains in mathematics achievement. J Exp Child Psychol 113: 447-455.
44. De Smedt B, Verschaffel L, Ghesquière P, (2009) The predictive value of numerical magnitude comparison for individual differences in mathematics achievement. J Exp Child Psychol 103: 469-479.
45. Lyons IM, Beilock SL, (2011) Numerical ordering ability mediates the relation between number-sense and arithmetic competence. Cogn 121: 256-261.
46. Clements DH, Sarama J, Spitler ME, Lange AA, Wolfe CB, (2011) Mathematics learned by young children in an intervention based on learning trajectories: A large-scale cluster randomized trial. J Res Math Educ 42: 127-166.
47. Dyson, NI, Jordan NC, Glutting J A number sense intervention for low-income kindergarteners at risk for mathematics difficulties. J Learn Disabil. In press.