The preliminary results of this study suggested that children with developmental dyscalculia benefit from a numeracy intervention program that focuses on basic numerical knowledge and conceptual knowledge. All children in the experimental group showed considerable and partly significant performance increases on all calculation components. Six children with developmental dyscalculia were trained individually and in small-group settings for a relatively short duration (one school semester). We argue that the positive intervention effects to a large extent are attributable to the explicit teaching of numerical domains that often have been found to be neglected in school mathematics.
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References
1.
Baroody, A.J. (2003). The development of adaptive expertise and flexibility: The integration of conceptual and procedural knowledge. In A. Baroody & A. Dowker (Eds.), The development of arithmetic concepts and skills: Constructing adaptive expertise (pp. 1—34). Mahwah, NJ : Erlbaum.
2.
Boysen, S.T., & Berntson, G.G. (1989). Numerical competence in a chimpanzee (Pan troglodytes). Journal of ComparativePsychology , 103, 23—31.
3.
Butterworth, B. (1999). The mathematical brain. London : Macmillan.
4.
Copley, J. (Ed.). (1999). Mathematics in the early years. Reston, VA: National Council of Teachers of Mathematics.
5.
Dehaene, S. (1992). Varieties of numerical abilities. Cognition, 44, 1—42.
6.
Dehaene, S., & Cohen, L. (1995). Towards an anatomical and functional model of number processing. MathematicalCognition, 1, 83—120.
7.
Dehaene, S., & Cohen, L. (1997). Cerebral pathways for calculation: Double dissociation between rote verbal and quantitative knowledge of arithmetic. Cortex, 33, 219—250.
8.
Delazer, M. (2003). Neuropsychological findings on conceptual knowledge of arithmetic. In A. Baroody & A. Dowker (Eds.), The development of arithmetic concepts and skills: Constructing adaptive expertise (pp. 385—408). Mahwah, NJ: Erlbaum.
9.
Dilling, H., Mombour, W., & Schmidt, M.H. (1993). Internationale Klassifikation psychischer Störungen ICD 10 [ICD-10 international classification of mental disorders]. (2nd ed.). Bern, Switzerland: Huber.
10.
Dowker, A. (1998, Sept.). Individual differences in normal arithmetical development. In C. Donlan (Ed.), The development of mathematical thinking (pp. 275—302). London : Taylor and Francis.
11.
Dowker, A. (2000). Numeracy recovery: A pilot scheme for early intervention with young children with numeracy difficulty. Support for Learning, 16(1), 6—10.
12.
Fuson, K.C. (1988). Children's counting and concepts of number. New York: Springer Verlag.
13.
Gallistel, C.R., & Gelman, R. (1992). Preverbal and verbal counting and computation . Cognition, 44, 43—74.
14.
Gallistel, C.R., & Gelman, R. (1991). The preverbal counting process. In W. Kessen, A. Ortony, & F. Craik (Eds.), Thoughts, memories, and emotions: Essays in honour of George Mandler (pp. 65—81). Hillsdale, NJ: Erlbaum.
15.
Geary, D.C. (2000). From infancy to adult-hood: The development of numerical abilities. European Child and Adolescent Psychiatry , 9(2), 11—16.
16.
Geary, D.C., Hamson, C.O., & Hoard, M.K. (2000). Numerical and arithmetical cognition: A longitudinal study of process and concept deficits in children with learning disability . Journal of Experimental Child Psychology, 77, 236—263.
17.
Gelman, R., & Gallistel, C.R. (1978). The child's understanding of number. Cambridge, MA: Harvard University Press.
18.
Girelli, L., & Seron, X. (2001). Rehabilitation of number processing and calculation skills. Aphasiology, 15, 695—712.
19.
Höllwarth, M. (1999). Entwicklung und Evaluation einer neuropsychologisch orientierten Testbatterie für rechenschwache Kinder [Development and evluation of a neuropsychologically oriented test battery for children with mathematical disabilities]. Unpublished thesis, University of Innsbruck , Austria.
20.
Mandler, G., & Shebo, B.J. (1982). Subitizing: An analysis of its component processes . Journal of Experimental Psychology: General, 11, 1—22.
21.
McCloskey, M., Caramazza, A., & Basili, A. (1985). Cognitive mechanisms in number processing and calculation: Evidence from dyscalculia. Brain andCognition , 4, 171—196.
22.
Mix, K.S., Huttenlocher, J., & Levine, S.C. (2002). Quantitative development in infancy and early childhood. Oxford, UK: Oxford University Press.
23.
Moyer, R.S., & Landauer, T.K. (1967). Time required for judgements of numerical equality. Nature, 215, 1519—1520.
24.
Nunes, T. (1992). Ethnomathematics and everyday cognition. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 557—574). New York: Macmillan.
25.
Perry, M. (2000). Explanations of mathematical concepts in Japanese, Chinese, and U.S. first- and fifth-grade classrooms. Cognition and Instruction, 18, 181—207.
26.
Pesenti, M. (1995). Du rôle de l'analogique dans les representations numériques: Numerosité et ordinalité [On the role of analogy in numerical representations: Numeracy and ordinality]. Unpublished PhD thesis, Université Catholique de Louvain, Belgium.
27.
Resnick, L. (1982). Syntax and semantics in learning to subtract. In T. Carpenter, J. Moser, & T. Romberg (Eds.), Addition and subtraction: A cognitive perspective (pp. 136—155). Hillsdale, NJ: Erlbaum.
28.
Resnick, L. (1989). Developing mathematical knowledge. American Psychologist, 44, 162—169.
29.
Rittle-Johnson, B., & Siegler, R.S. (1998). The relation between conceptual and procedural knowledge in learning mathematics: A review of the literature. In C. Donlan (Ed.), The development of mathematical skills (pp. 75—110). Hove, UK: Psychology Press.
30.
Shalev, R., Auerbach, J., Manor, O., & Gross-Tsur, V. (2000). Developmental dyscalculia: Prevalence and prognosis. European Child and Adolescent Psychiatry , 9(2), 58—64.
31.
Temple, C. (1991). Procedural dyscalculia and number fact dyscalculia: Double dissociation in developmental dyscalculia. Cognitive Neuropsychology, 8, 155—176.
32.
Temple, C., & Posner, M.I. (1998). Brain mechanisms of quantity are similar in 5-year-old children and adults. Proceedings of the National Academy of Sciences of the United States of America, 95, 7836—7841.
33.
Van Lehn, K. (1990). Mind bugs: The origin of arithmetical misconceptions. Cambridge, MA: MIT Press.
34.
Warrington, E.K. (1982). The fractionation of arithmetical skills: A single case study. Quarterly Journal of Experimental Psychology, 34A, 31—51.
35.
Wright, R.J., Martland, J., & Stafford, A.K. (2000). Early numeracy: Assessment for teaching and intervention. London: Chap-man.
36.
Wynn, K. (1992). Addition and subtraction by human infants. Nature, 358, 749—750.
37.
Xu, F., & Spelke, E. (2000). Large number discrimination in 6-month-old infants . Cognition, 74, B1—B11.
