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신경심리학적 이론에 근거한 수학학습장애의 유형분류 및 심층진단검사의 개발을 위한 기초연구

Neuropsychological Approaches to Mathematical Learning Disabilities and Research on the Development of Diagnostic Test

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초록

수학 학습장애는 정상적인 수학적 역량 획득을 저해하는 학습 장애의 한 유형으로, 아동, 청소년의 5- 10% 정도가 겪는 학습 장애의 한 분야이다. 현재 수학학습장애를 진단하기 위하여 기초학력평가나 표준화된 검사가 사용되고 있다. 검사 결과를 토대로 아동의 사전지식을 파악하고, 취약한 영역을 찾는 것 역시 중요하다. 본 연구는 수학학습장애의 유형을 파악하고, 중재의 출발점을 알려줄 수 있는 포괄적인 진단 검사가 포함해야 하는 구성요소를 찾는 것을 목표로 하고 있다. 이를 위하여 신경심리학적 이론에 근거하여 수학학습에 영향을 주는 기본적인 인지적 요인들을 찾고, 관련되어 활성화 되는 두뇌 영역과 그들의 세부적 기능을 살펴본다. 또 수학학습장애 아동의 신경심리학적 특징을 살펴 본 다음 수학학습장애의 유형을 분류한다. 그 결과를 바탕으로 교육현장에서 사용될 수 있는 심층 진단 검사의 개발을 위한 기초연구를 수행하고자 한다.

Abstract

Mathematics learning disabilities is a specific learning disorder affecting the normal acquisition of arithmetic and spatial skills. Reported prevalence rates range from 5 to 10 percent and show high rates of comorbid disabilities, such as dyslexia and ADHD. In this study, the characteristics and the causes of this disorder has been examined. The core cause of mathematics learning disabilities is not clear yet: it can come from general cognitive problems, or disorder of innate intuitive number module could be the cause. Recently, researchers try to subdivide mathematics learning disabilities as (1) semantic/memory type, (2) procedural/skill type, (3) visuospatial type, and (4) reasoning type. Each subtype is related to specific brain areas subserving mathematical cognition. Based on these findings, the author has performed a basic research to develop grade specific diagnostic tests: number processing test and math word problems for lower grades and comprehensive math knowledge tests for the upper grades. The results should help teachers to find out prior knowledge, specific weaknesses of students, and plan personalized intervention program. The author suggest diagnostic tests are organized into 6 components. They are number sense, conceptual knowledge, arithmetic facts retrieval, procedural skills, mathematical reasoning/word problem solving, and visuospatial perception tests. This grouping will also help the examiner to figure out the processing time for each component.

참고문헌 (79)

  1. 김동일, "수학학습장애 위험아동 조기 판별을 위한 수감각 검사의 적용 가능성 고찰", 아시아교육연구, 10(3), pp.103~122 (2009), 교육연구소
  2. 김동일, "국내 학습장애 연구의 동향 분석", 아시아교육연구, 10(2), pp.283~347 (2009), 교육연구소
  3. 김애화, "수학 학습장애 위험학생 조기선별검사 개발: 교육과정중심측정 원리를 반영한 수감각검사", 특수교육학연구, 40(4), pp.103~134 (2006), 한국특수교육학회
  4. 송찬원, "수학학습장애아의 신경 심리적 특성", 학습장애연구, 6(1), pp.67~83 (2009), 한국학습장애학회
  5. 이병혁, "학습장애아동의 자연수 연산수행 평가도구 개발을 위한 기초연구", 학습장애연구, 2(1), pp.115~136 (2005)
  6. 중학교 학습부진아 지도 프로그램 개발 연구-국어, 수학과 보충 프로그램을 중심으로, "이화진", 한국교육과정평가원, ~, pp.연구보고 RRC 2000. (2000)
  7. American Psychiatric Association, "Diagnostic and statistical manual of mental disorders,IV" (2000), American Psychiatric Press
  8. Anderson,J, "Human symbol manipulation within an integrated cognitive architecture", Cognitive Science, 29(3), pp.313~341 (2005)
  9. Anderson,U, "Mathematical competencies in children with different types of learning difficulties", Journal of Educational Psychology, 100(1), pp.48~66 (2008)
  10. Askenazi, A, "Attentional networks in developmental dyscalculia", Behavioral and Brain Functions, 6(2), pp.1~12 (2010)
  11. Baddeley, A.D, "Working memory, In The psychology of learning and motivation: Advances in research and theory 8", pp.47~89 (1974), Academic Press
  12. Baroody,A.J, "The development of adaptive expertise and flexibility: The integration of conceptual knowledge and procedural knowledge" (2003), Lawrence Erlbaum
  13. Butterworth,B, "The development of arithmetical abilities", Journal of Child Psychology and Psychiatry, 46(1), pp.3~18 (2005)
  14. Butterworth,B, "Developmental Dyscalculia, In The handbook of mathematical cognition", pp.455~467 (2005), Psychology Press
  15. Campbell,J, "Architecture for numerical cognition", Cognition, 53(1), pp.1~44 (1994)
  16. Censabella, S, "The Inhibition Capacities of Children with Mathematical Disabilities", Child Neuropsychology, 14(1), pp.1~20 (2008)
  17. Chiang, H, "Mathematical ability of students with asperger syndrom and high-functioning autism", Autism, 11(6), pp.547~556 (2007)
  18. D'Amico, A, "Exploring working memory in children with low arithmetical achievement", Learning and Individual Differences, 15(3), pp.189~202 (2005)
  19. Dehaene,S, "The number sense: How the mind creates mathematics" (1997), Oxford University Press
  20. Dehaene, S, "Cerebral pathways for calculation: Double Dissociation between rote verbal and quantitative knowledge of arithmetic", Cortex, 33(2), pp.219~250 (1997)
  21. Dehaene, S, "Three parietal circuits for number processing", Cognitive Neuro Psychology, 20(3), pp.487~506 (2003)
  22. Delazer,M, "Neuropsychological findings on conceptual knowledge of arithmetic, In The development of arithmetic concepts and skills" (2003), Lawrence Erlbaum Associates
  23. Desoete, A, "Numerical competence in young children and in children with mathematical learning disabilities", Learning and Individual Differences, 16(4), pp.351~367 (2006)
  24. Devlin, K, "수학 유전자" (2002), 까치
  25. Feigenson, L, "Core systems of number", Trends in Cognitive Science, 8(7), pp.48~60 (2004)
  26. Finnane,M, "Addressing verbal memory weaknesses to assist students with arithmetical learning difficulties", Proceeding 31st Annual Conference Mathematics Educaion Research Group of Australasia, pp.195~202 (2008)
  27. Francis, D. J, "Psychometric approaches to the identi- fication of LD: IQ and achievement scores are not sufficient", Journal of Learning Disabilities, 38(2), pp.98~108 (2005)
  28. Fuchs, L, "Problem solving and computational skill: Are they shared or distinct aspects of mathematical cognition", Journal of Educational Psychology, 100(1), pp.30~47 (2008)
  29. Gathercole, S. E, "Working memory deficits in children with low achieve- ments in the national curriculum at seven years of age", British Journal of Educational Psycho- logy, 70(2), pp.177~194 (2000)
  30. Geary,D.C, "Mathematics and learning disabilities", Journal of Learning Disabilities, 37(1), pp.4~15 (2004)
  31. Geary,D.C, "Consequences, characteristics, and causes of poor mathematics achievement and mathematical learning disabilities", Journal of Developmental and Behavioral Pediatrics, 32(3), pp.250~263 (2011)
  32. Geary, D. C, "First-grade predictors of mathematical learning disability: A latent class trajectory analysis", Cognitive Development, 24(4), pp.411~429 (2009)
  33. Geary, D. C, "Cognitive me- chanisms underlying achievement deficits in children with mathematical disability", Child Development, 78(4), pp.1343~1359 (2007)
  34. Gersten, R, "Early identification and interventions for students with mathematical disabilities", Journal of Learning Disabilities, 38(4), pp.293~304 (2005)
  35. Gonzales, J. J, "Strategy choice in solving arithmetic word problems: Are there differences between students with learning disabilities, G-V poor performance, and typical achievement students", Learning Disability Quarterly, 25(2), pp.113~122 (2002)
  36. Gross-Tsur, V, "Developmental dyscalculia: Prevalence and demo- graphic features", Developmental Medicine and Child Neurology, 38(1), pp.25~33 (1996)
  37. Hale, J, "School Neuropsy- chology: A practitioner's guide" (2004), The Guilford Press
  38. Hale, J, "Predicting math achievement through neuropsychological interpretation of WISC-III variance components", Journal of Psychoeducati- onal Assessment, 21(4), pp.358~380 (2003)
  39. Hanich, L. B, "Performance across different areas of mathematical cognition in children with learning difficulties", Journal of Educational Psychology, 93(3), pp.615~626 (2001)
  40. Heathcote,D, "The role of visuospatial working memory in mental arithmetic", Cognitive Psychology, 10(3), pp.302~323 (1994)
  41. Jordan, N. C, "Arithmetic fact mastery in young children: A longitudinal investigation", Journal of Experiment -al Child Psychology, 85(2), pp.103~119 (2003)
  42. Jordan, N. C, "A longitudinal study of mathematical competen- cies in children with specific mathematics diffi- culties with comorbidmathematics and reading difficulties", Child Development, 74(3), pp.843~850 (2003)
  43. Kaufmann,L, "More evidence for the role of central executive in retrieving arithmetic facts-A case study of severe developmental dyscal-culia.Journal of Clinical and Experimental", Journal of Clinical and Experimental Neuropsychology, 24(3), pp.302~310 (2002)
  44. Kaufmann, L, "An fMRI study of the numerical Stroop task in individuals with and without cognitive impairment", Cortex, 44(9), pp.1248~1255 (2008)
  45. Kintsch, W, "Understanding and solving word arithmetic problems", Psychological Review, 92(1), pp.109~129 (1985)
  46. Koontz, K. L, "Identifying simple numerical stimuli: Processing inefficiencies exhibited by arithmetic learning disabled children", Mathematical Cognition, 2(1), pp.1~23 (1996)
  47. Landerl, K. A, "Developmental dyscalculia and basic numerical capacities: A study of 8-9-year-old students", Cognition, 93(2), pp.99~125 (2004)
  48. Lerner,J, "Learning disabilities: Theories, diagnosis, and teaching strategies" (1993), Allyn & Bacon
  49. Lewis, C, "The prevalence of specific arithmetic difficulties and specific reading difficulties in 9-year-old to 10- year-old boys and girls", Journal of Child Psychology and Psychiatry, 35(2), pp.283~292 (1994)
  50. Mabbot, D, "Computational skills, working memory, and conceptual know- ledge in older children with mathematics learning disabilities", Journal of Learning Disabilities, 41(1), pp.15~28 (2008)
  51. Mazzocco, M. M, "Math learning disability and math LD subtypes: Evidence from studies of Turner syndrom, fragile X syndrom, and neurofibromatosis type 1", Journal of Learning Disabilities, 34(6), pp.520~533 (2001)
  52. Mazzocco, M. M., "Complexities in identifying and defining mathematics learning disabilities in the primary school-age years", Annals of Dyslexia, 53(1), pp.218~253 (2003)
  53. Mazzocco, M. M, "Kindergarten predictors of lath learning disability", Learning Disabilities Research and Practice, 20(3), pp.142~155 (2005)
  54. McLean, J. H, "Working memory impairments in children with specific arithmetic learning difficulties", Journal of Experimental Child Psychology, 74(3), pp.240~260 (1999)
  55. Murphy, M. M, "Cognitive characteristics of children with mathematics learning disability (MLD) vary as a function of the cutoff criteria used to define MLD", Journal of Learning Disabilities, 40(4), pp.458~478 (2007)
  56. NCTM, "Curriculum and evaluation standards for school mathematics" (1989), NCTM
  57. Ostad,S.A, "Developmental differences in addition strategies: A comparison of mathemati- cally disabled and mathematically normal children", British Journal of Educational Psychology, 67(3), pp.345~357 (1997)
  58. Pavlin-BernadiĆ, N, "Children's solving of mathema- tcal word problems: The contribution of working memory", Review of Psychology, 15(1), pp.35~43 (2008)
  59. Prabhakaran, V., "Neural substrates of mathematical reasoning: A functional magnetic resonance imaging study of neocortical activation during performance of the necessary arithmetic operations tests", Neuropsychology, 15(1), pp.115~127 (2001)
  60. Raghubar, K, "Errors in multi-digit arithmetic and behavioral attention in children with mathe- matical difficulties", Journal of Learning Disabilities, 42(4), pp.365~371 (2009)
  61. Resnick, L. B, "Conceptual bases of arithmetic errors: The cases of decimal fractions", Journal for Research in Mathematics Education, 20(1), pp.8~27 (1989)
  62. Riley, M.S, "Developmental analysis of understanding language about quanti- ties and of solving problems", Cognition and In struction, 5(1), pp.49~101 (1988)
  63. Rourke, B. P, "Neuropsychological assessment of children with learning disabilities, In Frames of reference for the assessment of learning disabilities", pp.475~590 (1994), Brooks
  64. Rourke, B. P, "Disabilities of arithmetic and mathematical reasoning, respectives from neurology and neuropsychology", Journal of Learning Disabilities, 30(1), pp.34~46 (1997)
  65. Rubinsten O, "Methylphenidate has differential effects on nu-merical abilities in ADHD children with and without Co-Morbid mathematical difficulties", Journal of Open Psychology, 1, pp.11~17 (2008)
  66. Rubinsten O., "Developmental dyscalculia: Heterogeneity might not mean different mechanisms", Trends in Cognitive, 13(2), pp.92~98 (2009)
  67. Russell, R, "Cognitive analysis of children's mathematical difficulties", Cognition and Instruction, 1(2), pp.217~244 (1984)
  68. Schuchardt, K, "Working memory deficits in children with specific learning disorders", Journal of Learning Disabilities, 41(6), pp.514~523 (2008)
  69. Sean,M, "The relationship between visual- spatial reasoning ability and math and geometry problem solving" (2009), American International college
  70. Siegel, L. S, "IQ is irrelevant to the definition of learning disabilities", Journal of Learning Disabilities, 22(8), pp.469~478 (1989)
  71. Siegler, R. S, "Development of numerical estimation in young children", Child Development, 75(2), pp.428~444 (2004)
  72. Sokol, S. M., "Developmental dyscalculia and cognitive neuropsychology", Developmental Neuropsychology, 10(4), pp.413~441 (2004)
  73. Thompson-Schill, S. L, "Role of left inferior prefrontal cortex in retrieval of semantic knowledge: A reevaluation", Proceedings of National. Academy of Scencesi, 97(14), pp.14792~14797 (1997)
  74. Van Lehn, K, "Bugs are not enough: Empirical studies of bugs, impasses and repairs in procedural skills", The Journal of Mathematical Behavior, 3(2), pp.3~71 (1982)
  75. Von Aster, M. G, "Number development and developmental dyscalculia", Developmental Medicine and Child Neurology, 49(11), pp.868~873 (2007)
  76. Wilson, A., "Number sense and developmental dyscalculia, In Human behavior, learning and the developing brain: Atypical development", pp.1~37 (2007), Guilford Press
  77. Wong,B.Y.L, "The ABCs of learning disabilities" (1996), Academic Press
  78. Woodcock, R. W, "Woodcock-Johnson III" (2001), Riverside Publishing
  79. World Health Organization, "Multiaxial classification of child and adolescent psychiatric disorders" (1996), Cambridge University Press

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