Numerical distance effect in developmental dyscalculia

Cognitive Development

Volumn 24, Issue 4, 2009, Pages 387-400

  Ashkenazi, Sarit ^a   Mark Zigdon, Nitza ^a   Henik, Avishai ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Development; Developmental dyscalculia; Distance effect; Magnitude; Two digit number comparison

Indexed keywords

EID: 71549131000     PISSN: 08852014     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cogdev.2009.09.006     Document Type: Article

References (55)

1. Ashkenazi S., Henik A., Ifergane G., and Shelef I. Basic numerical processing in left intraparietal sulcus (IPS) acalculia. Cortex 44 (2008) 439-448
2. Banks W.P., Mermelstein R., and Yu K.H. Discrimination among perceptual and symbolic stimuli. Memory & Cognition 10 (1982) 265-275
3. Barrouillet P., Camos V., Perruchet P., and Seron X. ADAPT: A developmental, asemantic, and procedural model for transcoding from verbal to Arabic numerals. Psychological Review 111 (2004) 368-394
4. Berch D.B., Foley E.J., Hill R.J., and McDonough Ryan P. Extracting parity and magnitude from Arabic numerals: Developmental changes in number processing and mental representation. Journal of Experimental Child Psychology 74 (1999) 286-308
5. Bevan, A., & Butterworth, B. (2002). Fractions or friction? The responses of students and teachers to maths disabilities within the National Numeracy Strategy. [online draft]. Available: http://www.mathematicalbrain.com/pdf/2002BEVANBB.PDF.
6. Bruandet M., Molko N., Cohen L., and Dehaene S. A cognitive characterization of dyscalculia in Turner syndrome. Neuropsychologia 42 (2004) 288-298
7. Brysbaert M. Arabic number reading: On the nature of the numerical scale and the origin of phonological recoding. Journal of Experimental Psychology: General 124 (1995) 434-452
8. Dehaene S. The psychophysics of numerical comparison: A reexamination of apparently incompatible data. Perception & Psychophysics 45 (1989) 557-566
9. Dehaene S. Varieties of numerical abilities. Cognition 44 (1992) 1-42
10. Dehaene S. Our numerical heritage: The adult number line. In: Dehaene S. (Ed). The number sense (1997), Oxford University Press, Oxford, UK 64-90
11. Dehaene S., Dupoux E., and Mehler J. Is numerical comparison digital: Analogical and symbolic effect in two-digit number comparison. Journal of Experimental Psychology: Human Perception and Performance 16 (1990) 626-641
12. Delazer M., Karner E., Zamarian L., Donnemiller E., and Benke T. Number processing in posterior cortical atrophy - A neuropsychological case study. Neuropsychologia 44 (2006) 36-51
13. Duncan E.M., and McFarland C.E. Isolating the effect of symbolic distance and semantic congruity in comparative judgments: An additive-factors analysis. Memory & Cognition 2 (1980) 95-110
14. Fawcett A.J., and Nicolson R.I. The Dyslexia Screening Test (DST) (2004), Jerusalem, PsychTech (Israel)
15. Fitousi D., and Algom D. Size congruity effects with two-digit numbers: Expanding the number line?. Memory & Cognition 34 (2006) 445-457
16. Ganor-Stern D., Tzelgov J., and Ellenbogen R. Automaticity and two-digit numbers. Journal of Experimental Psychology: Human Perception and Performance 33 (2007) 483-496
17. Geary D.C. Mathematical disabilities: Cognitive, neuropsychological, and genetic components. Psychological Bulletin 114 (1993) 345-362
18. Geary D.C. Evolution and proximate expression of human paternal investment. Psychological Bulletin 126 (2000) 55-77
19. Geary D.C., and Hoard M.K. Numerical and arithmetical deficits in learning-disabled children: Relation to dyscalculia and dyslexia. Aphasiology 15 (2001) 635-647
20. Ginsburg H.P. Mathematics learning disabilities: A view from developmental psychology. Journal of Learning Disabilities 30 (1997) 20-33
21. Henik A., and Tzelgov J. Is three greater than five: The relation between physical and semantic size in comparison tasks. Memory & Cognition 10 (1982) 389-395
22. Holloway I.D., and Ansari D. Domain-specific and domain-general changes in children's development of number comparison. Developmental Science 11 (2008) 649-664
23. Holloway I.D., and Ansari D. Mapping numerical magnitudes onto symbols: The numerical-distance effect and individual differences in children's mathematics achievement. Journal of Experimental Child Psychology 103 (2009) 17-29
24. Kaufmann L., and Nuerk H.-C. Basic number processing deficits in ADHD: A broad examination of elementary and complex number processing skills in 9- to 12-year-old children with ADHD-C. Developmental Science 11 (2008) 692-699
25. Koontz K.L., and Berch D.B. Identifying simple numerical stimuli: Processing inefficiencies exhibited by arithmetic learning disabled children. Mathematical Cognition 2 (1996) 1-23
26. Kosc L. Developmental dyscalculia. Journal of Learning Disabilities 7 (1974) 77-164
27. Landerl K., and Kolle C. Typical and atypical development of basic numerical skills in elementary school. Journal of Experimental Child Psychology 130 (2009) 546-641
28. Link S. Modeling imageless thought: The relative judgment theory of numerical comparison. Journal of Mathematical Psychology 34 (1990) 2-41
29. Mark-Zigdon, N., Ashkenazi, S., & Henik, A. (in preparation). Developmental dyscalculia and curriculum based testing.
30. McCloskey M. Cognitive mechanisms in numerical processing: Evidence from acquired dyscalculia. Cognition 44 (1992) 107-157
31. Moyer R.S. Comparing objects in memory: Evidence suggesting an internal psychology. Perception & Psychology 13 (1973) 180-184
32. Moyer R.S., and Bayer R.H. Mental comparison and the symbolic distance effect. Cognitive Psychology 8 (1976) 228-246
33. Moyer R.S., and Landauer T.K. The time required for judgments of numerical inequality. Nature 215 (1967) 1519-1520
34. Mussolin C., and Noæl M.-P. The non-intentional processing of Arabic numbers in children. Journal of Clinical and Experimental Neuropsychology 29 (2007) 225-234
35. Mussolin C., and Noæl M.-P. Automaticity for numerical magnitude of two-digit Arabic numbers in children. Acta Psychologica 129 (2008) 264-272
36. Nuerk H.-C., Kaufmann L., Zoppoth S., and Willmes K. On the development of the mental number line: More, less, or never holistic with increasing age?. Developmental Psychology 40 (2004) 1199-1211
37. Nuerk H.-C., Weger U., and Willmes K. Decade breaks in the mental number line? Putting tens and units back into different bins. Cognition 82 (2001) B25-B33
38. Nuerk H.-C., Weger U., and Willmes K. Language effect in magnitude comparison: Small, but not irrelevant. Brain and Language 92 (2005) 262-277
39. Nuerk H.-C., and Willmes K. On the magnitude representation of two-digit numbers. Psychological Science 47 (2005) 52-72
40. Parkman J.M. Temporal aspects of digit and letter inequality judgments. Journal of Experimental Psychology 91 (1971) 191-205
41. Price G.R., Holloway L., Rèsènen P., Vesterinen M., and Ansari D. Impaired parietal magnitude processing in developmental dyscalculia. Current Biology 17 (2007) 1042-1043
42. Reynvoet B., and Brysbaert M. Single-digit and two-digit Arabic numerals address the same semantic number line. Cognition 72 (1999) 191-201
43. Rousselle L., and Noæl M.P. Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs. non-symbolic number magnitude processing. Cognition 102 (2007) 361-395
44. Rubinsten O., and Henik A. Automatic activation of internal magnitudes: A study of developmental dyscalculia. Neuropsychology 19 (2005) 641-648
45. Rubinsten O., and Henik A. Double dissociation of functions in developmental dyslexia and dyscalculia. Journal of Educational Psychology 98 (2006) 854-867
46. Rubinsten O., Henik A., Berger A., and Shahar-Shalev S. The development of internal representations of magnitude and their association with Arabic numerals. Journal of Experiment Child Psychology 81 (2002) 74-92
47. Russell R.L., and Ginsburg H.P. Cognitive analysis of children's mathematical difficulties. Cognition and Instruction 1 (1984) 217-244
48. Schwarz W., and Heinze H.J. On the interaction of numerical and size information in digit comparison: A behavioral and event-related potential study. Neuropsychologia 36 (1998) 1167-1179
49. Sekuler R., and Mierkiewicz D. Children's judgement of numerical inequality. Child Development 48 (1977) 630-633
50. Shalev R.S., Manor O., and Gross-Tsur V. The acquisition of arithmetic in normal children: Assessment by a cognitive model of dyscalculia. Developmental Medicine and Child Neurology 35 (1993) 593-601
51. Shalev R.S., Manor O., and Gross-Tsur V. Neuropsychological aspects of developmental dyscalculia. Mathematical Cognition 3 (1997) 105-120
52. Shalev R.S., Manor O., Kerem B., Ayali M., Badichi N., Friedlander Y., et al. Developmental dyscalculia is a familial learning disability. Journal of Learning Disabilities 34 (2001) 59-65
53. Tzelgov J. Specifying the relations between automaticity and consciousness: a theoretical note. Consciousness and Cognition 6 (1997) 441-451
54. Tzelgov J., Meyer J., and Henik A. Automatic and intentional processing of numerical information. Journal of Experimental Psychology: Learning, Memory & Cognition 18 (1992) 166-179
55. Van Galen S.M., and Retidma P. Developing access to number magnitude: a study of the SNARC effect in 7- to 9-year-olds. Journal of Experimental Child Psychology 101 (2008) 99-113