A patient is described who is affected by an inability to recall and u
se 'arithmetical facts' of one-digit multiplications and divisions. Th
is loss contrasts with the preservation of a wide set of complex notio
ns that the patient exploits in order to overcome his deficit and get
the right result. This observation helps in isolating and describing a
n important component of arithmetical long-term memory that is not ove
rlearnt and the functioning of which is not automatic or mechanistic.
An account of such a component is lacking in models of arithmetic curr
ently referred to in cognitive neuropsychology. In a remediation study
, performed over several weeks, the effect of training was selective f
or each single arithmetical fact: not even skills with multiplication
complements (e.g. 6X3, 3x6) fully benefited from the rehabilitation of
a specific fact. This suggests that the storage format of each fact i
s independent from that of other facts.