A high comorbidity between reading and arithmetic disabilities has already been reported. The present study aims at identifying more precisely patterns of arithmetic performance in children with developmental dyslexia, defined with severe and specific criteria. By means of a standardized test of achievement in mathematics (Calculation and Number Processing Assessment Battery for Children; von Aster & Dellatolas, 2006), we analyzed the arithmetic abilities of 47 French children with dyslexia attending 3rd, 4th, and 5th grade. Of them, 40% displayed arithmetic deficits, mostly with regard to number transcoding and mental calculation. Their individual profiles of performance accounted for varying strengths and weaknesses in arithmetic abilities. Our findings showed the pathway for the development of arithmetic abilities in children with dyslexia is not unique. Our study contrasts with the hypotheses suggesting the mutual exclusiveness of the phonological representation deficit and the core number module deficit.
American Psychiatric Association. (2013). Diagnostic and statistical manual of mental disorders (5th ed.). Washington, DC: Author.
2.
AnsariD. (2010). Neurocognitive approaches to developmental disorders of numerical and mathematical cognition: The perils of neglecting the role of development. Learning and Individual Differences, 20, 123–129.
3.
AnsariD.GarciaN.LucasE.HamonK.DhitalB. (2005). Neural correlates of symbolic number processing in children and adults. Neuroreport, 16, 1769–1773.
4.
AshcraftM. H.MooreA. M. (2009). Mathematical anxiety and the affective drop in performance. Journal of Psychoeducational Assessment, 3, 197–205.
5.
BadianN. A. (1999). Persistent arithmetic, reading, or arithmetic and reading disability. Annals of Dyslexia, 49, 45–70.
6.
BarrouilletP.CamosV.PerruchetP.SeronX. (2004). ADAPT: A developmental, asemantic, and procedural model for transcoding from verbal to Arabic numerals. Psychological Review, 111, 368–394.
7.
BoetsB.De SmedtB. (2010). Single-digit arithmetic in children with dyslexia. Dyslexia, 16, 183–191.
8.
BullR.JohnstonR. S. (1997). Children’s arithmetical difficulties: Contributions from processing speed, item identification, and short-term memory. Journal of Experimental Child Psychology, 65, 1–24.
9.
ButterworthB. (2005). The development of arithmetical abilities. Journal of Child Psychology and Psychiatry, 46, 3–18.
10.
ButterworthB.WalshV. (2011). Neural basis of mathematical cognition. Current Biology, 21, 18–21.
11.
CamosV. (2008). Low working memory capacity impedes both efficiency and learning of number transcoding in children. Journal of Experimental Child Psychology, 99, 37–57.
12.
CheminalR.BrunV. (2002). Les dyslexies [Dyslexia]. Paris, France: Masson.
13.
Chevrie-MullerC.PlazaM. (2001). N-EEL: Nouvelles Epreuves pour l’Examen du Langage [New tests for language examination]. Paris, France: ECPA.
14.
Chevrie-MullerC.SimonA. M.FournierS. (1997). Batterie Langage oral et écrit, Mémoire, Attention (L2MA) [Attention memory oral and written language tests]. Paris, France: ECPA.
15.
CipolottiL.ButterworthB. (1995). Towards a multiroute model of number processing: Impaired number transcoding with preserved calculation skills. Journal of Experimental Psychology: General, 124, 375–390.
16.
De SmedtB.BoetsB. (2010). Phonological processing and arithmetic fact retrieval: Evidence from developmental dyslexia. Neuropsychologia, 48, 3973–3981.
17.
De SmedtB.TaylorJ.ArchibaldL.AnsariD. (2010). How is phonological processing related to individual differences in children’s arithmetic skills?Developmental Science, 13, 508–520.
18.
DehaeneS. (1992). Varieties of numerical abilities. Cognition, 44, 1–42.
19.
DehaeneS.CohenL. (1997). Cerebral pathways for calculation: Double dissociation between rote verbal and quantitative knowledge of arithmetic. Cortex, 33, 219–250.
20.
DehaeneS.MolkoN.CohenL.WilsonA. (2004). Arithmetic and the brain. Current Opinion in Neurobiology, 14, 218–224.
21.
DehaeneS.PiazzaM.PinelP.CohenL. (2003). Three parietal circuits for number processing. Cognitive Neuropsychology, 20, 487–506.
22.
DelocheG.SeronX. (1987). Numerical transcoding: A general production model. In DelocheG.SeronX. (Eds.), Mathematical disabilities: A cognitive neuropsychological perspective (pp. 137–170). Hillsdale, NJ: Erlbaum.
DirksE.SpyerG.van LieshoutE. C. D. M.de SonnevilleL. (2008). Prevalence of combined reading and arithmetic disabilities. Journal of Learning Disabilities, 41, 460–473.
25.
FayolM.FlussJ.SacchetJ.SiclierJ.MirassouA.BillardC. (2009). Associations et dissociations en lecture et mathématiques [Associations and dissociations in reading and mathematics]. Approches Neuropsychologiques des Apprentissages chez l’Enfant, 101, 317–322.
26.
FischerJ. P. (2005). Le diagnostic de dyscalculie à partir de l’évaluation en CE2: vers une approche scientifique? [The diagnosis of dyscalculia from third-grade evaluation: To a scientific method?]. La nouvelle revue de l’AIS, 32, 85–98.
27.
FrithU. (1995). Dyslexia: Can we have a shared theoretical framework?Educational and Child Psychology, 12, 6–17.
28.
FuchsL. S.FuchsD.ComptonD. L.PowellS. R.SeethalerP. M.CapizziA. M.… FletcherJ. M. (2006). The cognitive correlates of third-grade skill in arithmetic, algorithmic computation, and arithmetic word problems. Journal of Educational Psychology, 98, 29–43.
29.
GearyD. C. (1993). Mathematical disabilities: Cognition, neuropsychological, and genetic components. Psychological Bulletin, 114, 345–362.
30.
GearyD. C. (2004). Mathematics and learning disabilities. Journal of Learning Disabilities, 37, 4–15.
31.
GearyD. C.HamsonC. O.HoardM. K. (2000). Numerical and arithmetical cognition: A longitudinal study of process and concept deficits in children with learning disabilities. Journal of Experimental Child Psychology, 77, 236–263.
32.
GobelS. M.SnowlingM. J. (2010). Number-processing skills in adults with dyslexia. Quarterly Journal of Experimental Psychology, 63, 1361–1373.
33.
GriffithsY. M.SnowlingM. J. (2002). Predictors of exception word and nonword reading in dyslexic children: The severity hypothesis. Journal of Educational Psychology, 94(1), 34–43.
34.
Gross-TsurV.ManorO.ShalevR. S. (1996). Developmental dyscalculia: Prevalence and demographic features. Developmental Medicine and Child Neurology, 38, 25–33.
35.
HaaseV. G.Julio-CostaA.Lopes-SilvaJ. B.Starling-AlvesI.AntunesA. M.Pinheiro-ChagasP.WoodG. (2014). Contributions from specific and general factors to unique deficits: Two cases of mathematics learning difficulties. Frontiers in Psychology, 5, 1–17.
36.
HechtS. A.TorgesenJ. K.WagnerR. K.RashotteC. A. (2001). The relations between phonological processing abilities and emerging individual differences in mathematical computation skills: A longitudinal study from second to fifth grades. Journal of Experimental Child Psychology, 79, 192–227.
37.
InizanA. (1998). ANALEC, Analyse du savoir lire de 8 ans à l’âge adulte [Reading capacities analysis]. Paris, France: ECPA.
38.
IsaacsE. B.EdmondsC. J.LucasA.GadianD. G. (2001). Calculation difficulties in children of very low birthweight: A neural correlate. Brain, 124, 1701–1707.
39.
Jacquier-RouxM.ValdoisS.ZormanM.LequetteC.PougetG. (2005). ODEDYS-2, outils de dépistage des dyslexies [ODEDYS-2: Dyslexia screening test, revised version]. Grenoble, France: Cogni-Sciences, IUFM de Grenoble.
40.
JeffriesS.EverattJ. (2004). Working memory: Its role in dyslexia and other specific learning difficulties. Dyslexia, 10, 196–214.
41.
JordanN. C.HanichL. B. (2000). Mathematical thinking in second-grade children with different types of learning difficulties. Journal of Learning Disabilities, 33, 567–578.
42.
KaufmannL.von AsterM. (2012). The diagnosis and management of dyscalculia. Deutsches Ärzteblatt International, 109, 767–778.
43.
KaufmannL.WoodG.RubinstenO.HenikA. (2011). Meta-analyses of developmental fMRI studies investigating typical and atypical trajectories of number processing and calculation. Developmental Neuropsychology, 36, 763–787.
44.
KhomsiA. (1999). LMC-R, épreuve d’évaluation de la compétence en lecture [Reading capacities evaluation]. Paris, France: ECPA.
45.
KhomsiA. (2001). ELO: évaluation du langage oral [Oral language evaluation]. Paris, France: ECPA.
46.
KorkmanM.KirkU.KempS. (2003). NEPSY, Bilan Neuropsychologique de l’Enfant [NEPSY, neuropsychological tests for children]. Paris, France: ECPA.
47.
LanderlK.BevanA.ButterworthB. (2004). Developmental dyscalculia and basic numerical capacities: A study of 8-9-year-old students. Cognition, 93, 99–125.
48.
LanderlK.FusseneggerB.MollK.WillburgerE. (2009). Dyslexia and dyscalculia: Two learning disorders with different cognitive profiles. Journal of Experimental Child Psychology, 103, 309–324.
49.
LeatherC. V.HenryL. A. (1994). Working memory span and phonological awareness tasks as predictors of early reading ability. Journal of Experimental Child Psychology, 58, 88–111.
50.
LecocqP. (1996). Epreuve de Compréhension Syntaxico-Sémantique [Syntaxic and semantic comprehension test]. Villeneuve-d’Ascq, France: Presses universitaire du Septentrion.
51.
LefavraisP. (1967). Test de l’Alouette [Alouette test]. Paris, France: ECPA.
52.
LefavraisP. (2005). Test de l’Alouette, version révisée [Alouette test, revised version]. Paris, France: ECPA.
53.
LewisC.HitchG. J.WalkerP. (1994). 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 and Allied Disciplines, 35, 283–292.
54.
LyonG. R.ShaywitzS. E.ShaywitzB. A. (2003). A definition of dyslexia. Annals of Dyslexia, 53, 1–14.
55.
McCloskeyM.CaramazzaA.BasiliA. (1985). Cognitive mechanisms in number-processing and calculation: Evidence from dyscalculia. Brain and Cognition, 4, 171–196.
56.
MouraR.WoodG.Pinheiro-ChagasP.LonnemanJ.KrinzingerH.WillmesK.HaaseV. G. (2013). Transcoding abilities in typical and atypical mathematics achievers: The role of working memory and procedural and lexical competencies. Journal of Experimental Child Psychology, 116(3), 707–727.
57.
NicolsonR. I.FawcettA. J. (1990). Automaticity: A new framework for dyslexia research?Cognition, 35, 159–182.
58.
NicolsonR. I.FawcettA. J. (2007). Procedural learning difficulties: Reuniting the developmental disorders?Trends in Neurosciences, 30, 135–141.
59.
NicolsonR. I.FawcettA. J.DeanP. (2001). Developmental dyslexia: The cerebellar deficit hypothesis. Trends in Neurosciences, 24, 508–511.
60.
NoëlM. P. (2005). Le transcodage chez l’enfant [Number transcoding in children]. In Van HoutA.MeljecC.FischerJ.-P. (Eds.), Troubles du calcul et dyscalculies chez l’enfant [Calcul deficits and dyscalculia in children] (pp. 111–122). Paris, France: Masson.
61.
NoëlM. P.DésertM.AubrunA.SeronX. (2001). Involvement of short-term memory in complex mental calculation. Memory Cognition, 29, 34–42.
62.
PatersonS. J.GirelliL.ButterworthB.Karmiloff-SmithA. (2006). Are numerical impairments syndrome specific? Evidence from Williams syndrome and Down’s syndrome. Journal of Child Psychology and Psychiatry, 47, 190–204.
63.
PenningtonB. F. (2006). From single to multiple deficit models of developmental disorders. Cognition, 101, 385–413.
64.
PughK.MenclE. W.ShaywitzB. A.ShaywitzS. E.FullbrightR. K.ConstableR. T.GoreJ. C. (2000). The angular gyrus in developmental dyslexia: Task-specific differences in functional connectivity in posterior cortex. Psychological Science, 11, 51–56.
65.
RiveraS. M.ReissA. L.EckertM. A.MenonV. (2005). Developmental changes in mental arithmetic: Evidence for increased functional specialization in the left inferior parietal cortex. Cerebral Cortex, 15, 1779–1790.
66.
RourkeB. P.ConwayJ. A. (1997). Disabilities of arithmetic and mathematical reasoning: Perspectives from neurology and neuropsychology. Journal of Learning Disabilities, 30, 34–46.
67.
SeronX.FayolM. (1994). Number transcoding in children: A functional analysis. British Journal of Developmental Psychology, 12, 281–300.
68.
Serra-GrabulosaJ. M.AdanA.Pérez-PàmiesM.LachicaJ.MembrivesS. (2010). Neural bases of numerical processing and calculation. Revista de Neurologia, 50, 39–46.
69.
ShaywitzB. A.LyonG. R.ShaywitzS. E. (2006). The role of functional magnetic resonance imaging in understanding reading and dyslexia. Developmental Neuropsychology, 30, 613–632.
70.
SimmonsF.SingletonC.HorneJ. K. (2008). Phonological awareness and visuo-spatial sketchpad functioning predict early arithmetic attainment. Evidence from a longitudinal study. European Journal of Cognitive Psychology, 20, 711–722.
71.
SimmonsF. R. (2002). Relationship between number skills and cognitive abilities in people with specific arithmetic difficulties and people with dyslexia. Unpublished doctoral dissertation, University of Hull, UK.
72.
SimmonsF. R.SingletonC. (2006). The mental and written arithmetic abilities of adults with dyslexia. Dyslexia, 12, 96–114.
73.
SimmonsF. R.SingletonC. (2008). Do weak phonological representations impact on arithmetic development? A review of research into arithmetic and dyslexia. Dyslexia, 14, 77–94.
74.
SnowlingM. J. (2000). Dyslexia. Oxford, UK: Blackwell.
75.
SnowlingM. J. (2001). From language to reading and dyslexia. Dyslexia, 7, 37–46.
76.
SullivanK. S. (2010). Remediation of Arabic numeral processing in a case of developmental dyscalculia. Neuropsychological Rehabilitation, 6, 27–54.
77.
SwansonH. L.ZhengX.JermanO. (2009). Working memory, short-term memory and reading disabilities: A selective meta-analysis of the literature. Journal of Learning Disabilities, 42, 260–287.
78.
TempleC. M. (1992). Developmental dyscalculia. In SegalowitzS. J.RapinI.BollerF.GrafmanJ. (Eds.), Handbook of neuropsychology: Vol. 7. Child neuropsychology (pp. 211–222). New York, NY: Elsevier.
79.
TempleE. (2002). Brain mechanisms in normal and dyslexic readers. Current Opinion in Neurobiology, 12, 178–183.
80.
TressoldiP. E.RosatiM.LucangeliD. (2007). Patterns of developmental dyscalculia with or without dyslexia. Neurocase, 13, 217–225.
81.
VakilE.LoweM.GoldfusC. (2013). Performance of children with developmental dyslexia on two skill learning tasks—Serial reaction time and tower of Hanoi puzzle: A test of the specific procedural learning difficulties theory. Journal of Learning Disabilities, 48, 471–481.
82.
VellutinoF. R.FletcherJ. M.SnowlingM. J.ScanlonD. M. (2004). Specific reading disabilities (dyslexia): What have we learned in the past four decades?Journal of Child Psychology and Psychiatry, 45, 2–40.
83.
von AsterM. (2000). Developmental cognitive neuropsychology of number processing and calculations: Varieties of developmental dyscalculia. European Child and Adolescent Psychiatry, 9(2), 41–57.
84.
von AsterM.DellatolasG. (2006). ZAREKI-R: Batterie pour l’évaluation du traitement des nombres et du calcul chez l’enfant. [ZAREKI-R: Calculation and number processing assessment battery for children]. Paris, France: ECPA.
85.
von AsterM. G.ShalevR. S. (2007). Number development and developmental dyscalculia. Developmental Medicine and Child Neurology, 49, 868–873.
86.
WechslerD. (2005). WISC-IV. Echelle d’intelligence de Wechsler pour enfants—Quatrième édition [WISC-IV: Wechsler Intelligence Scale for Children, 4th version]. Paris, France: ECPA.
87.
WillcuttE. G.PetrillS. A.WuS.BoadaR.DeFriesJ. C.OlsonR. K.PenningtonB. F. (2013). Comorbidity between reading disability and math disability: Concurrent psychopathology, functional impairment, and neuropsychological functioning. Journal of Learning Disabilities, 46, 500–516.
88.
WilsonA. J.DehaeneS. (2010). Number sense and developmental dyscalculia. In CochD.DawsonG.FischerK. W. (Eds.), Human behaviour, learning and the developing brain: Atypical development (pp. 212–238). New York, NY: Guilford.
89.
WolfM.BowersP. G.BiddleK. (2000). Naming-speed processes, timing, and reading: A conceptual review. Journal of Learning Disabilities, 33, 387–407.
90.
WuS. S.BarthM.AminH.MalcarneV.MenonV. (2012). Math anxiety in second and third graders and its relation to mathematics achievement. Frontiers in Developmental Psychology, 3(162), 1–11.
