Concepts and facts in calculation

M. Hittmair-Delazer, C. Semenza, G. Denes

Research output: Contribution to journalArticlepeer-review


A patient is described who is affected by an inability to recall and use arithmetical facts of one-digit multiplications and divisions. This loss contrasts with the presentation of a wide set of complex notions that the patient exploits in order to overcome his deficit and get the right result. This observation helps in isolating and describing an important component of arithmetical long-term memory that is not overlearnt and the functioning of which is not automatic or mechanistic. An account of such a component is lacking in models of arithmetic currently referred to in cognitive neuropsychology. In a remediation study, performed over several weeks, the effect of training was selective for each single arithmetical,fact: not even skills with multiplication complements (e.g. 6 x 3, 3 x 6) fully benefited from the rehabilitation of a specific fact. This suggests that the storage format of each fact is independent from that of other facts.

Original languageEnglish
Pages (from-to)715-728
Number of pages14
Issue number4
Publication statusPublished - Aug 1994


  • Acalculia
  • Arithmetical facts
  • Conceptual knowledge
  • Strategies

ASJC Scopus subject areas

  • Neuroscience(all)
  • Statistics, Probability and Uncertainty
  • Applied Mathematics
  • Mathematics(all)
  • Statistics and Probability
  • Agricultural and Biological Sciences (miscellaneous)
  • Clinical Neurology


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