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Volumn 113, Issue 1, 2012, Pages 49-65

Independent contributions of the central executive, intelligence, and in-class attentive behavior to developmental change in the strategies used to solve addition problems

Author keywords

Addition development; Attentive behavior; Central executive; Intelligence; Longitudinal study; Working memory

Indexed keywords

ACHIEVEMENT; AGE; ARTICLE; ATTENTION; DYSCALCULIA; EDUCATION; EXECUTIVE FUNCTION; HUMAN; INDIVIDUALITY; INTELLIGENCE; LEARNING DISORDER; LONGITUDINAL STUDY; MATHEMATICS; PROBLEM SOLVING; PROSPECTIVE STUDY; PSYCHOLOGICAL ASPECT; REACTION TIME; RISK FACTOR; SEX DIFFERENCE; SHORT TERM MEMORY; SOCIAL BEHAVIOR; STUDENT;

EID: 84863782321     PISSN: 00220965     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jecp.2012.03.003     Document Type: Article
Times cited : (69)

References (71)
  • 1
    • 0000145732 scopus 로고
    • Individual differences in information processing: An investigation of intellectual abilities and task performance during practice
    • Ackerman P.L. Individual differences in information processing: An investigation of intellectual abilities and task performance during practice. Intelligence 1986, 10:101-139.
    • (1986) Intelligence , vol.10 , pp. 101-139
    • Ackerman, P.L.1
  • 2
    • 12144258837 scopus 로고    scopus 로고
    • Working memory and intelligence. The same or different constructs?
    • Ackerman P.L., Beier M.E., Boyle M.O. Working memory and intelligence. The same or different constructs?. Psychological Bulletin 2005, 131:30-60.
    • (2005) Psychological Bulletin , vol.131 , pp. 30-60
    • Ackerman, P.L.1    Beier, M.E.2    Boyle, M.O.3
  • 3
    • 0000351587 scopus 로고
    • The development of mental arithmetic: A chronometric approach
    • Ashcraft M.H. The development of mental arithmetic: A chronometric approach. Developmental Review 1982, 2:213-236.
    • (1982) Developmental Review , vol.2 , pp. 213-236
    • Ashcraft, M.H.1
  • 4
    • 0005788484 scopus 로고
    • The production and verification tasks in mental addition: An empirical comparison
    • Ashcraft M., Fierman B., Bartolotta R. The production and verification tasks in mental addition: An empirical comparison. Developmental Review 1984, 4:157-170.
    • (1984) Developmental Review , vol.4 , pp. 157-170
    • Ashcraft, M.1    Fierman, B.2    Bartolotta, R.3
  • 5
    • 84903997242 scopus 로고    scopus 로고
    • The relationships among working memory, math anxiety, and performance
    • Ashcraft M.H., Kirk E.P. The relationships among working memory, math anxiety, and performance. Journal of Experimental Psychology: General 2001, 130:224-237.
    • (2001) Journal of Experimental Psychology: General , vol.130 , pp. 224-237
    • Ashcraft, M.H.1    Kirk, E.P.2
  • 6
    • 0004030013 scopus 로고
    • Oxford University Press, Oxford, UK
    • Baddeley A.D. Working memory 1986, Oxford University Press, Oxford, UK.
    • (1986) Working memory
    • Baddeley, A.D.1
  • 9
    • 84872208208 scopus 로고    scopus 로고
    • The co-development of skill at and preference for use of retrieval-based processes for solving addition problems: Individual and sex differences from first to sixth grade
    • (in press)
    • Bailey, D. H., Littlefield, A., & Geary, D. C. (in press). The co-development of skill at and preference for use of retrieval-based processes for solving addition problems: Individual and sex differences from first to sixth grade. Journal of Experimental Child Psychology.
    • Journal of Experimental Child Psychology
    • Bailey, D.H.1    Littlefield, A.2    Geary, D.C.3
  • 10
    • 19944362234 scopus 로고    scopus 로고
    • Working memory and children's use of retrieval to solve addition problems
    • Barrouillet P., Lépine R. Working memory and children's use of retrieval to solve addition problems. Journal of Experimental Child Psychology 2005, 91:183-204.
    • (2005) Journal of Experimental Child Psychology , vol.91 , pp. 183-204
    • Barrouillet, P.1    Lépine, R.2
  • 11
    • 45149088802 scopus 로고    scopus 로고
    • Short-term memory, working memory, and executive functions in preschoolers: Longitudinal predictors of mathematical achievement at age 7 years
    • Bull R., Espy K.A., Wiebe S.A. Short-term memory, working memory, and executive functions in preschoolers: Longitudinal predictors of mathematical achievement at age 7 years. Developmental Neuropsychology 2008, 33:205-228.
    • (2008) Developmental Neuropsychology , vol.33 , pp. 205-228
    • Bull, R.1    Espy, K.A.2    Wiebe, S.A.3
  • 12
    • 18844407095 scopus 로고    scopus 로고
    • Basic skills in adolescents' occupational preparation
    • Bynner J. Basic skills in adolescents' occupational preparation. Career Development Quarterly 1997, 45:305-321.
    • (1997) Career Development Quarterly , vol.45 , pp. 305-321
    • Bynner, J.1
  • 13
    • 80051810421 scopus 로고    scopus 로고
    • Fluency, accuracy, and gender predict developmental trajectories of arithmetic strategies
    • Carr M., Alexeev N. Fluency, accuracy, and gender predict developmental trajectories of arithmetic strategies. Journal of Educational Psychology 2011, 103:617-631.
    • (2011) Journal of Educational Psychology , vol.103 , pp. 617-631
    • Carr, M.1    Alexeev, N.2
  • 14
    • 0001352715 scopus 로고    scopus 로고
    • Gender differences in arithmetic strategy use: A function of skill and preference
    • Carr M., Davis H. Gender differences in arithmetic strategy use: A function of skill and preference. Contemporary Educational Psychology 2001, 26:330-347.
    • (2001) Contemporary Educational Psychology , vol.26 , pp. 330-347
    • Carr, M.1    Davis, H.2
  • 15
    • 0031497650 scopus 로고    scopus 로고
    • Gender differences in first-grade mathematics strategy use: Social and metacognitive influences
    • Carr M., Jessup D.L. Gender differences in first-grade mathematics strategy use: Social and metacognitive influences. Journal of Educational Psychology 1997, 89:318-328.
    • (1997) Journal of Educational Psychology , vol.89 , pp. 318-328
    • Carr, M.1    Jessup, D.L.2
  • 16
    • 0036204345 scopus 로고    scopus 로고
    • A latent variable analysis of working memory capacity, short-term memory capacity, processing speed, and general fluid intelligence
    • Conway A.R.A., Cowan N., Bunting M.F., Therriault D.J., Minkoff S.R.B. A latent variable analysis of working memory capacity, short-term memory capacity, processing speed, and general fluid intelligence. Intelligence 2002, 30:163-183.
    • (2002) Intelligence , vol.30 , pp. 163-183
    • Conway, A.R.A.1    Cowan, N.2    Bunting, M.F.3    Therriault, D.J.4    Minkoff, S.R.B.5
  • 19
    • 0344195099 scopus 로고    scopus 로고
    • The strategy specific nature of improvement: The power law applies by strategy within task
    • Delaney P., Reder L.M., Staszewski J., Ritter F. The strategy specific nature of improvement: The power law applies by strategy within task. Psychological Science 1998, 9:1-7.
    • (1998) Psychological Science , vol.9 , pp. 1-7
    • Delaney, P.1    Reder, L.M.2    Staszewski, J.3    Ritter, F.4
  • 20
    • 0017140877 scopus 로고
    • Rapid automatized naming (RAN): Dyslexia differentiated from other learning disabilities
    • Denckla M.B., Rudel R. Rapid automatized naming (RAN): Dyslexia differentiated from other learning disabilities. Neuropsychologia 1976, 14:471-479.
    • (1976) Neuropsychologia , vol.14 , pp. 471-479
    • Denckla, M.B.1    Rudel, R.2
  • 23
    • 0000366704 scopus 로고
    • The role of working memory capacity and general control processes in intelligence
    • Embretson S.E. The role of working memory capacity and general control processes in intelligence. Intelligence 1995, 20:169-189.
    • (1995) Intelligence , vol.20 , pp. 169-189
    • Embretson, S.E.1
  • 25
    • 84872205170 scopus 로고    scopus 로고
    • Every Child a Chance Trust
    • The long-term costs of numeracy difficulties. Available from
    • Every Child a Chance Trust. (2009). The long-term costs of numeracy difficulties. Available from http://www.shinetrust.org.uk/uploaded_document/ECC%20Long%20Term%20Costs%20Numeracy_up100309183037.pdf.
    • (2009)
  • 28
    • 0025441789 scopus 로고
    • A componential analysis of an early learning deficit in mathematics
    • Geary D.C. A componential analysis of an early learning deficit in mathematics. Journal of Experimental Child Psychology 1990, 49:363-383.
    • (1990) Journal of Experimental Child Psychology , vol.49 , pp. 363-383
    • Geary, D.C.1
  • 29
    • 0027669890 scopus 로고
    • Mathematical disabilities: Cognitive, neuropsychological, and genetic components
    • Geary D.C. Mathematical disabilities: Cognitive, neuropsychological, and genetic components. Psychological Bulletin 1993, 114:345-362.
    • (1993) Psychological Bulletin , vol.114 , pp. 345-362
    • Geary, D.C.1
  • 31
    • 79955064757 scopus 로고    scopus 로고
    • Missouri longitudinal study of mathematical development and disability
    • [In R. Cowan, M. Saxton, & A. Tolmie (Eds.), Understanding number development and number difficulties (No. 7, British Journal of Educational Psychology, Monograph Series II: Psychological Aspects of Education-Current Trends). Leicester: British Psychological Society].
    • Geary, D. C. (2010). Missouri longitudinal study of mathematical development and disability. British Journal of Educational Psychology Monograph Series II, 7, 31-49 [In R. Cowan, M. Saxton, & A. Tolmie (Eds.), Understanding number development and number difficulties (No. 7, British Journal of Educational Psychology, Monograph Series II: Psychological Aspects of Education-Current Trends). Leicester: British Psychological Society].
    • (2010) British Journal of Educational Psychology Monograph Series , vol.2 , Issue.7 , pp. 31-49
    • Geary, D.C.1
  • 32
    • 82755187521 scopus 로고    scopus 로고
    • Cognitive predictors of individual differences in achievement growth in mathematics: A five year longitudinal study
    • Geary D.C. Cognitive predictors of individual differences in achievement growth in mathematics: A five year longitudinal study. Developmental Psychology 2011, 47:1539-1552.
    • (2011) Developmental Psychology , vol.47 , pp. 1539-1552
    • Geary, D.C.1
  • 33
    • 84872212698 scopus 로고    scopus 로고
    • Report of the task group on learning processes. In National Mathematics Advisory Panel, Reports of the task groups and subcommittees (pp. 4-i-4-221). Washington, DC: U.S. Department of Education. Available from
    • Geary, D. C., Boykin, A. W., Embretson, S., Reyna, V., Siegler, R., Berch, D. B., & Graban, J. (2008). Report of the task group on learning processes. In National Mathematics Advisory Panel, Reports of the task groups and subcommittees (pp. 4-i-4-221). Washington, DC: U.S. Department of Education. Available from http://www.ed.gov/about/bdscomm/list/mathpanel/report/learning-processes.pdf.
    • (2008)
    • Geary, D.C.1    Boykin, A.W.2    Embretson, S.3    Reyna, V.4    Siegler, R.5    Berch, D.B.6    Graban, J.7
  • 34
    • 0030256315 scopus 로고    scopus 로고
    • Development of arithmetical competencies in Chinese and American children: Influence of age, language, and schooling
    • Geary D.C., Bow-Thomas C.C., Liu F., Siegler R.S. Development of arithmetical competencies in Chinese and American children: Influence of age, language, and schooling. Child Development 1996, 67:2022-2044.
    • (1996) Child Development , vol.67 , pp. 2022-2044
    • Geary, D.C.1    Bow-Thomas, C.C.2    Liu, F.3    Siegler, R.S.4
  • 35
    • 0000974589 scopus 로고
    • Cognitive addition: Strategy choice and speed-of-processing differences in gifted, normal, and mathematically disabled children
    • Geary D.C., Brown S.C. Cognitive addition: Strategy choice and speed-of-processing differences in gifted, normal, and mathematically disabled children. Developmental Psychology 1991, 27:398-406.
    • (1991) Developmental Psychology , vol.27 , pp. 398-406
    • Geary, D.C.1    Brown, S.C.2
  • 36
    • 84872209612 scopus 로고    scopus 로고
    • (in press). Fact retrieval deficits in low achieving children and children with mathematical learning disability. Journal of Learning Disabilities.
    • Geary, D. C., Hoard, M. K., & Bailey, D. H. (in press). Fact retrieval deficits in low achieving children and children with mathematical learning disability. Journal of Learning Disabilities.
    • Geary, D.C.1    Hoard, M.K.2    Bailey, D.H.3
  • 37
    • 2442490062 scopus 로고    scopus 로고
    • Strategy choices in simple and complex addition: Contributions of working memory and counting knowledge for children with mathematical disability
    • Geary D.C., Hoard M.K., Byrd-Craven J., Desoto M. Strategy choices in simple and complex addition: Contributions of working memory and counting knowledge for children with mathematical disability. Journal of Experimental Child Psychology 2004, 88:121-151.
    • (2004) Journal of Experimental Child Psychology , vol.88 , pp. 121-151
    • Geary, D.C.1    Hoard, M.K.2    Byrd-Craven, J.3    Desoto, M.4
  • 38
    • 34547294996 scopus 로고    scopus 로고
    • Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability
    • 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.
    • (2007) Child Development , vol.78 , pp. 1343-1359
    • Geary, D.C.1    Hoard, M.K.2    Byrd-Craven, J.3    Nugent, L.4    Numtee, C.5
  • 39
    • 84862226834 scopus 로고    scopus 로고
    • Mathematical cognition deficits in children with learning disabilities and persistent low achievement: A five year prospective study
    • 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.
    • (2012) Journal of Educational Psychology , vol.104 , pp. 206-223
    • Geary, D.C.1    Hoard, M.K.2    Nugent, L.3    Bailey, D.H.4
  • 40
    • 0000627440 scopus 로고
    • A chronometric analysis of simple addition
    • Groen G.J., Parkman J.M. A chronometric analysis of simple addition. Psychological Review 1972, 79:329-343.
    • (1972) Psychological Review , vol.79 , pp. 329-343
    • Groen, G.J.1    Parkman, J.M.2
  • 41
    • 0036260548 scopus 로고    scopus 로고
    • Counting on working memory in simple arithmetic when counting is used for problem solving
    • Hecht S. Counting on working memory in simple arithmetic when counting is used for problem solving. Memory & Cognition 2002, 30:447-455.
    • (2002) Memory & Cognition , vol.30 , pp. 447-455
    • Hecht, S.1
  • 42
    • 34147127449 scopus 로고    scopus 로고
    • The development of strategy use in elementary school children: Working memory and individual differences
    • Imbo I., Vandierendonck A. The development of strategy use in elementary school children: Working memory and individual differences. Journal of Experimental Child Psychology 2007, 96:284-309.
    • (2007) Journal of Experimental Child Psychology , vol.96 , pp. 284-309
    • Imbo, I.1    Vandierendonck, A.2
  • 44
    • 0034199374 scopus 로고    scopus 로고
    • Preschoolers doing arithmetic: The concepts are willing but the working memory is weak
    • Klein J.S., Bisanz J. Preschoolers doing arithmetic: The concepts are willing but the working memory is weak. Canadian Journal of Experimental Psychology 2000, 54:105-115.
    • (2000) Canadian Journal of Experimental Psychology , vol.54 , pp. 105-115
    • Klein, J.S.1    Bisanz, J.2
  • 50
    • 33847168977 scopus 로고    scopus 로고
    • A longitudinal assessment of executive function skills and their association with math performance
    • Mazzocco M.M.M., Kover S.T. A longitudinal assessment of executive function skills and their association with math performance. Child Neuropsychology 2007, 13:18-45.
    • (2007) Child Neuropsychology , vol.13 , pp. 18-45
    • Mazzocco, M.M.M.1    Kover, S.T.2
  • 51
    • 0742306305 scopus 로고    scopus 로고
    • Complexities in identifying and defining mathematics learning disability in the primary school-age years
    • Mazzocco M.M.M., Myers G. Complexities in identifying and defining mathematics learning disability in the primary school-age years. Annals of Dyslexia 2003, 53:218-253.
    • (2003) Annals of Dyslexia , vol.53 , pp. 218-253
    • Mazzocco, M.M.M.1    Myers, G.2
  • 52
    • 84872210157 scopus 로고    scopus 로고
    • National Mathematics Advisory Panel
    • Foundations for success: The final report of the National Mathematics Advisory Panel. Washington, DC: U.S. Department of Education. Available from
    • National Mathematics Advisory Panel. (2008). Foundations for success: The final report of the National Mathematics Advisory Panel. Washington, DC: U.S. Department of Education. Available from http://www.ed.gov/about/bdscomm/list/mathpanel/report/final-report.pdf.
    • (2008)
  • 53
    • 72149097360 scopus 로고    scopus 로고
    • Counting on working memory when learning to count and to add: A preschool study
    • Noël M.-P. Counting on working memory when learning to count and to add: A preschool study. Developmental Psychology 2009, 45:1630-1643.
    • (2009) Developmental Psychology , vol.45 , pp. 1630-1643
    • Noël, M.-P.1
  • 55
    • 34247115526 scopus 로고    scopus 로고
    • The precursors of mathematics learning: Working memory, phonological ability, and numerical competence
    • Passolunghi M.C., Vercelloni B., Schadee H. The precursors of mathematics learning: Working memory, phonological ability, and numerical competence. Cognitive Development 2007, 22:165-184.
    • (2007) Cognitive Development , vol.22 , pp. 165-184
    • Passolunghi, M.C.1    Vercelloni, B.2    Schadee, H.3
  • 57
    • 84872213076 scopus 로고    scopus 로고
    • R Development Core Team. R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing. Available from
    • R Development Core Team. (2008). R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing. Available from http://www.R-project.org.
    • (2008)
  • 58
    • 0001201909 scopus 로고
    • Bayesian model selection in social research
    • Raftery A.E. Bayesian model selection in social research. Sociological Methodology 1995, 25:111-196.
    • (1995) Sociological Methodology , vol.25 , pp. 111-196
    • Raftery, A.E.1
  • 60
    • 0000718995 scopus 로고
    • Quantitative literacy and the likelihood of employment among young adults in the United States
    • 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.
    • (1992) Journal of Human Resources , vol.27 , pp. 313-328
    • Rivera-Batiz, F.1
  • 64
    • 0000933783 scopus 로고
    • The perils of averaging data over strategies: An example from children's addition
    • Siegler R.S. The perils of averaging data over strategies: An example from children's addition. Journal of Experimental Psychology: General 1987, 116:250-264.
    • (1987) Journal of Experimental Psychology: General , vol.116 , pp. 250-264
    • Siegler, R.S.1
  • 67
    • 0000360309 scopus 로고
    • Strategy choice in addition and subtraction: How do children know what to do?
    • Lawrence Erlbaum, Hillsdale, NJ, C. Sophian (Ed.)
    • Siegler R.S., Shrager J. Strategy choice in addition and subtraction: How do children know what to do?. Origins of cognitive skills 1984, 229-293. Lawrence Erlbaum, Hillsdale, NJ. C. Sophian (Ed.).
    • (1984) Origins of cognitive skills , pp. 229-293
    • Siegler, R.S.1    Shrager, J.2
  • 68
    • 0035403028 scopus 로고    scopus 로고
    • Mathematical problem solving and working memory in children with learning disabilities: Both executive and phonological processes are important
    • Swanson H.L., Sachse-Lee C. Mathematical problem solving and working memory in children with learning disabilities: Both executive and phonological processes are important. Journal of Experimental Child Psychology 2001, 79:294-321.
    • (2001) Journal of Experimental Child Psychology , vol.79 , pp. 294-321
    • Swanson, H.L.1    Sachse-Lee, C.2
  • 69
    • 9644289890 scopus 로고    scopus 로고
    • Categorical and dimensional definitions and evaluations of symptoms of ADHD: The SNAP and the SWAN rating scales
    • Available from
    • Swanson, J. M., Schuck, S., Mann, M., Carlson, C., Hartman, K., Sergeant, J., et al. (2008). Categorical and dimensional definitions and evaluations of symptoms of ADHD: The SNAP and the SWAN rating scales. Available from http://www.adhd.net/SNAP_SWAN.pdf.
    • (2008)
    • Swanson, J.M.1    Schuck, S.2    Mann, M.3    Carlson, C.4    Hartman, K.5    Sergeant, J.6


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