For the neuropsychological diagnosis of a Specific disorder of arithmetic s
kills the standard is defined worldwide by the diagnostic guidelines of the
two major classification systems of psychiatric disorders, the ICD-10 and
the DSM-IV, both of which use the discrepancy criterion as the key feature
of the diagnosis. It becomes clear that following such guidelines can only
mean an extensive diagnostic assessment of patients with subnormal arithmet
ic abilities, including the social and previous medical history followed by
the exclusion of a present disorder or disability, often necessitating lab
oratory, neuroimaging and neurophysiological tests. In the neuropsychologic
al diagnosis of a Specific disorder of arithmetical skills we found a stepw
ise approach including previously obtained test results to be most practica
l and economical. The assessment instruments such as intelligence tests, ne
uropsychological test batteries, academic achievement tests, specific neuro
psychological tests, test batteries for arithmetic abilities or error analy
sis are discussed. An overview of case studies in the literature is given;
however, the overwhelming majority of case reports on patients with arithme
tic disabilities are casuistics of adult patients with an acquired loss of
arithmetic abilities. The importance of a differentiated neuropsychological
diagnosis is demonstrated by four of our own cases: of borderline deficien
t intelligence, a combined disorder of academic skills, congenital brain dy
sfunction, and a specific disorder of arithmetic skills. Especially the new
quality in assessing arithmetic abilities with the NUCALC battery is demon
strated; diagnostic and therapeutic consequences are discussed.