Impaired Arithmetic Facts But Intact Conceptual Knowledge a Single—Case Study of Dyscalculia

We present the case of a young, highly educated patient who showed severe problems in basic arithmetic after a bone marrow transplant followed by extensive irradiation and chemotherapy. Despite his inability to resolve arithmetical fact problems (as 2 + 3), he showed intact processing of algebraic expressions and excellent understanding of complex arithmetic text problems. He perfectly knew arithmetic principles and applied them in various tasks. The performance of the patient suggests that conceptual knowledge (in addition to arithmetical fact knowledge and arithmetic procedures) is a functionally independent component of the calculation system.

[1]  C. Gallistel,et al.  The Child's Understanding of Number , 1979 .

[2]  Elizabeth K. Warrington,et al.  Arithmetic Skills in Patients with Unilateral Cerebral Lesions , 1986, Cortex.

[3]  M. McCloskey.  Cognitive mechanisms in numerical processing: Evidence from acquired dyscalculia , 1992, Cognition.

[4]  Alfonso Caramazza,et al.  Cognitive mechanisms in number processing and calculation: Evidence from dyscalculia , 1985, Brain and Cognition.

[5]  K. Fuson.  Children's Counting and Concepts of Number , 1987 .

[6]  J. G. Snodgrass,et al.  A standardized set of 260 pictures: norms for name agreement, image agreement, familiarity, and visual complexity. , 1980, Journal of experimental psychology. Human learning and memory.

[7]  Michael McCloskey,et al.  Facts, rules and procedures in normal calculation: Evidence from multiple single-patient studies of impaired arithmetic fact retrieval , 1991, Brain and Cognition.

[8]  G. Groen,et al.  A chronometric analysis of simple addition. , 1972 .

[9]  N J Cohen,et al.  Cognitive representations and processes in arithmetic: inferences from the performance of brain-damaged subjects. , 1991, Journal of experimental psychology. Learning, memory, and cognition.

[10]  B. Fischhoff,et al.  Journal of Experimental Psychology: Human Learning and Memory , 1980 .

[11]  Michael McCloskey,et al.  The organization of arithmetic facts in memory: Evidence from a brain-damaged patient , 1992, Brain and Cognition.

[12]  R. Gelman,et al.  Preschoolers' counting: Principles before skill , 1983, Cognition.

[13]  E K Warrington,et al.  The Fractionation of Arithmetical Skills: A Single Case Study , 1982, The Quarterly journal of experimental psychology. A, Human experimental psychology.

[14]  G Denes,et al.  Concepts and facts in calculation. , 1994, Brain : a journal of neurology.

[15]  R. Siegler,et al.  Strategy choice procedures and the development of multiplication skill. , 1988, Journal of experimental psychology. General.

[16]  Prentice Starkey,et al.  The early development of numerical reasoning , 1992, Cognition.