Enumeration skills in Down syndrome

Research in Developmental Disabilities

Volumn 34, Issue 11, 2013, Pages 3798-3806

  Sella, Francesco ^a   Lanfranchi, Silvia ^a   Zorzi, Marco ^a,b  

^a UNIVERSITY OF PADOVA   (Italy)

^b IRCCS SAN CAMILLO HOSPITAL   (Italy)

Author keywords

Approximate number system; Counting; Down syndrome; Numerical cognition; Numerical development; Object tracking system; Subitizing; Visual enumeration

Indexed keywords

ADOLESCENT; ARITHMETIC; ARTICLE; CHILD; CHILD DEVELOPMENT; CLINICAL ARTICLE; CONTROLLED STUDY; CORRELATION ANALYSIS; DIGIT TO DOTS MATCH TO SAMPLE TASK; DOWN SYNDROME; ENUMERATION SKILL; FEMALE; HUMAN; INTELLIGENCE TEST; ITALY; MALE; MATHEMATICS; NUMERICAL COGNITION; PERCEPTIVE DISCRIMINATION; PRESCHOOL CHILD; SCHOOL CHILD; SKILL; TASK PERFORMANCE; VISION; VISUAL ENUMERATION;

APPROXIMATE NUMBER SYSTEM; COUNTING; DOWN SYNDROME; NUMERICAL COGNITION; NUMERICAL DEVELOPMENT; OBJECT TRACKING SYSTEM; SUBITIZING; VISUAL ENUMERATION;

ADOLESCENT; CASE-CONTROL STUDIES; CHILD; CHILD DEVELOPMENT; CHILD, PRESCHOOL; DOWN SYNDROME; FEMALE; HUMANS; MALE; MATHEMATICS; TASK PERFORMANCE AND ANALYSIS;

EID: 84883727943     PISSN: 08914222     EISSN: 18733379     Source Type: Journal    
DOI: 10.1016/j.ridd.2013.07.038     Document Type: Article

References (50)

1. Abdelahmeed H. Do children with Down syndrome have difficulty in counting and why. International Journal of Special Education 2007, 22:1-11.
2. Bashash L., Outhred L., Bochner S. Counting skills and number concepts of students with moderate intellectual disabilities. International Journal of Disability, Development and Education 2003, 50(3):325-345.
3. Bonato M., Deouell L.Y. Hemispatial neglect: computer-based testing allows more sensitive quantification of attentional disorders and recovery and might lead to better evaluation of rehabilitation. Frontiers in Human Neuroscience 2013, 7:162.
4. Bonato M., Sella F., Berteletti I., Umiltà C. Neuropsychology is nothing without control: A potential fallacy hidden in clinical studies. Cortex 2012, 48:353-355.
5. Brigstocke S., Hulme C., Nye J. Number and arithmetic skills in children with Down syndrome. Down Syndrome: Research and Practice 2008, 74-78. 10.3104/reviews.2070.
6. Buckley S., Sacks B. The adolescent with Down syndrome: Life for the teenager and for the family 1987, Portsmouth Polytechnic, Portsmouth, UK.
7. Camos V. Numerosity discrimination in children with Down syndrome. Developmental Neuropsychology 2009, 34:435-447.
8. Carey S. Cognitive foundations of arithmetic: Evolution and ontogenesis. Mind & Language 2001, 16:37-55.
9. Carr J. Six weeks to twenty-one years old: a longitudinal study of children with Down's syndrome and their families. Journal of Child Psychology and Psychiatry 1988, 29:407-431.
10. Carretti B., Lanfranchi S. The effect of configuration on VSWM performance of Down syndrome individuals. Journal of Intellectual Disability Research 2010, 54:1056-1058.
11. Carretti B., Lanfranchi S., Mammarella I. Spatial-simultaneous and spatial-sequential working memory in individuals with Down syndrome: the effect of configuration. Research in Developmental Disability 2013, 34:669-675.
12. Caycho L., Gunn P., Siegal M. Counting by children with Down syndrome. American Journal on Mental Retardation 1991, 95(5):575-583.
13. Cutini, S., Sella, F., & Zorzi, M. (2013). Visual short-term memory load disrupts subitizing limit, submitted for publication.
14. Dehaene S. The number sense: How the mind creates mathematics 1997, Oxford University Press, New York, NY.
15. Dehaene S., Izard V., Spelke E., Pica P. Log or linear? Distinct intuitions of the number scale in Western and Amazonian indigene cultures. Science (New York, N.Y.) 2008, 320(5880):1217-1220.
16. Dunn L.M., Dunn L.M. Peabody picture vocabulary test 1997, American Guidance Service, Circle Pines, MN. 3rd ed.
17. Dykens E.M., Hodapp R.M., Finucane B.M. Genetics and mental retardation syndromes 2000, Paul H. Brookes, New York.
18. Feigenson L., Dehaene S., Spelke E. Core systems of number. Trends in Cognitive Sciences 2004, 8(7):307-314.
19. Gallistel C.R., Gelman R. Preverbal and verbal counting and computation. Cognition 1992, 44:43-74.
20. Gelman R., Cohen M. Qualitative differences in the way Down syndrome and normal children solve a novel counting problem. The Psychobiology of Down's Syndrome 1988, MIT Press, Cambridge, MA. L. Nadel (Ed.).
21. Gelman R., Gallistel C.R. The child's understanding of number 1978, Harvard University Press, Cambridge, MA.
22. 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(5):1457-1465.
23. Halberda J., Ly R., Wilmer J.B., Naiman D.Q., Germine L. Number sense across the lifespan as revealed by a massive Internet-based sample. Proceedings of the National Academy of Sciences of the United States of America 2012, 109(28):11116-11120.
24. Halberda J., Mazzocco M.M.M., Feigenson L. Individual differences in non-verbal number acuity correlate with maths achievement. Nature 2008, 455(7213):665-668.
25. Jordan N.C., Kaplan D., Locuniak M.N., Ramineni C. Predicting first-grade math achievement from developmental number sense trajectories. Learning Disabilities Research & Practice 2007, 22(1):36-46.
26. Kaufman E.L., Lord M.W., Reese T., Volkmann J. The discrimination of visual number. American Journal of Psychology 1949, 62:496-525.
27. Kittler P.M., Krinsky-McHale S.J., Devenny D.A. Dual-task processing as a measure of executive function: A comparison between adults with Williams and Down syndromes. American Journal of Mental Retardation 2008, 113(2):117-132.
28. Landerl K., Bevan A., Butterworth B. Developmental dyscalculia and basic numerical capacities: A study of 8- and 9-year-old students. Cognition 2004, 93:99-125.
29. Lanfranchi S., Carretti B., Spanò G., Cornoldi C. A specific deficit in visuospatial simultaneous working memory in Down syndrome. Journal of Intellectual Disability Research 2009, 53:474-483.
30. Le Corre M., Carey S. One, two, three, four, nothing more: an investigation of the conceptual sources of the verbal counting principles. Cognition 2007, 105(2):395-438.
31. Libertus M.E., Feigenson L., Halberda J. Preschool acuity of the approximate number system correlates with school math ability. Developmental Science 2011, 14(6):1292-1300.
32. Lourenco S.F., Bonny J.W., Fernandez E.P., Rao S. Nonsymbolic number and cumulative area representations contribute shared and unique variance to symbolic math competence. Proceedings of the National Academy of Sciences of the United States of America 2012, 109(46):18737-18742.
33. Mandler G., Shebo B.J. Subitizing: An analysis of its component processes. Journal of Experimental Psychology: General 1982, 111:1-22.
34. Mazzocco M.M.M., Feigenson L., Halberda J. Preschoolers' precision of the approximate number system predicts later school mathematics performance. PLoS ONE 2011, 6(9):e23749.
35. Mazzocco M.M.M., Feigenson L., Halberda J. Impaired acuity of the approximate number system underlies mathematical learning disability (dyscalculia). Child Development 2011, 82(4):1224-1237.
36. Moeller K., Neuburger S., Kaufmann L., Landerl K., Nuerk H.C. Basic number processing deficits in developmental dyscalculia. Evidence from eye-tracking. Cognitive Development 2009, 24:371-386.
37. Molin A., Poli S., Lucangeli D. Batteria Intelligenza Numerica [Battery for Numerical Intelligence] 2007, Ed. Erickson, Trento.
38. Nye J., Fluck M., Buckley S. Counting and cardinal understanding in children with Down syndrome and typically developing children. Down Syndrome: Research and Practice 2001, 7(2):68-78.
39. Passolunghi M.C., Vercelloni B., Schadee H. The precursors of mathematics learning: Working memory, phonological ability and numerical competence. Cognitive Development 2006, 22:165-184.
40. Paterson S.J., Girelli L., Butterworth B., Karmiloff-Smith A. Are numerical impairments syndrome specific? Evidence from Williams syndrome and Down's syndrome. Journal of Child Psychology and Psychiatry 2006, 47:190-204.
41. Piazza M. Neurocognitive start-up tools for symbolic number representations. Trends in Cognitive Sciences 2010, 14(12):542-551.
42. Piazza M., Facoetti A., Trussardi A.N., Berteletti I., Conte S., Lucangeli D., et al. Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia. Cognition 2010, 116(1):33-41.
43. Piazza M., Fumarola A., Chinello A., Melcher D. Subitizing reflects visuo-spatial object individuation capacity. Cognition 2011, 121(1):147-153.
44. Porter J. Learning to count: A difficult task?. Down Syndrome: Research and Practice 1999, 6(2):85-94.
45. Raven J., Raven J.C., Court J.H. Coloured progressive matrices 1998, Oxford Psychologists Press, Oxford.
46. Schleifer P., Landerl K. Subitizing and counting in typical and atypical development. Developmental Science 2011, 14:280-291.
47. Stoianov I., Zorzi M. Emergence of a "visual number sense" in hierarchical generative models. Nature Neuroscience 2012, 15:194-196.
48. Trick L.M., Pylyshyn Z.W. Why are small and large numbers enumerated differently: A limited-capacity preattentive stage in vision. Psychology Review 1994, 101:80-102.
49. Xu F., Spelke E.S. Large number discrimination in 6-month-old infants. Cognition 2000, 74(1):B1-B11.
50. Xu F., Spelke E.S., Goddard S. Number sense in human infants. Developmental Science 2005, 8(1):88-101.