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Acalculia Lecture Notes

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Acalculia is an acquired impairment in which people have difficulty performing simple mathematical tasks, such as adding, subtracting, multiplying and even simply stating which of two numbers is larger.

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PSY 2C 08: BRAIN, BODY AND
BEHAVIOUR
UNIT–I: BRAIN AND BEHAVIOUR
TOPIC: ACALCUALIA

, ACALCUALIA

Acalculia is an acquired impairment in which people have difficulty performing simple mathematical tasks,
such as adding, subtracting, multiplying and even simply stating which of two numbers is larger.



TYPES OF ACALCULIA

Henschen introduced the term "acalculia" to refer to the impairments in mathematical abilities in patients
with brain damage (Henschen 1925 ). Berger distinguished 2 different types of acalculia: primary and
secondary acalculia. Secondary acalculia refers to calculation defects resulting from a different cognitive
deficit: memory disorders, attention impairments, language defects, spatial deficits, etc. ( Berger 1926 ).
Gerstmann proposed that acalculia is observed together with agraphia , disorders in right-left orientation,
and finger agnosia , representing the basic brain syndrome usually known as "Gerstmann syndrome"
(Gerstmann 1940 ). Gerstmann syndrome has been associated with left angular gyrus damage (Vallar 2007
). It has been proposed that Gerstmann syndrome represents a disorder in the spatial representation of the
body-scheme and mental rotations occurring after left parietal damage ( Gold et al 1995 ).

Hecaen and colleagues distinguished 3 major types of calculation disorders: (1) alexia and agraphia for
numbers, (2) spatial acalculia, and (3) anarithmetia ( Hecaen et al 1961 ). Alexia and agraphia for numbers
represent calculation disturbances resulting from difficulties in reading and writing quantities. Spatial
acalculia represents a disorder of spatial organization where the rules for setting written digits in their proper
order and position are not followed; spatial neglect and number inversions are frequently found in this
disorder. Anarithmetia corresponds to primary acalculia. It implies a basic defect in computational ability.

Boller and Grafman considered that calculation abilities can be disrupted as a result of: (1) inability to
appreciate the meaning of the number names, (2) visuospatial defects that interfere with the spatial
arrangement of numbers and the mechanical aspects of mathematical operations, (3) inability to recall
mathematical facts and appropriately use them, and (4) defects in mathematical thinking and in
understanding underlying operations ( Boller and Grafman 1985 ).

Ardila and Rosselli have proposed a classification of acalculias (Ardila and Rosselli 2002 ). A basic
distinction between anarithmetia (primary acalculia) and acalculia resulting from other cognitive defects
(secondary acalculias) is included. Secondary acalculias may result from linguistic defects (oral or written),
spatial deficits, and frontal-type disturbances, particularly perseveration , memory, and attention
impairments. However, there is a certain degree of overlap among the acalculia subtypes proposed by Ardila
and Rosselli. Thus, in anarithmetia some spatial deficits can be observed. Spatial acalculia associated with

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