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In Honour of Brian Butterworth. Numeracy skills and Parietal lobes Lisa Cipolotti & Marinella Cappelletti. REVIEW OF PTS WITH UNILATERAL LESIONS Primary dyscalculia does not exist. Only secondary to impairments of: language; memory; visuo-perception; intelligence (as measured by IQ)

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In honour of brian butterworth

In Honour of Brian Butterworth

Numeracy skills and Parietal lobes

Lisa Cipolotti &

Marinella Cappelletti


REVIEW OF PTS WITH UNILATERAL LESIONS

Primary dyscalculia does not exist.

Only secondary to impairments of: language; memory; visuo-perception; intelligence (as measured by IQ)

(Collignon, Leclercq & Mahy’s review, 1977)


HISTORICAL REVIEW OF PUBLISHED CASES

‘… a summary of the cases of acalculia since Henschen leads to the conclusion that…..

……there is neither a localised region nor a specific hemisphere underlying the disorder …’

(Kahn & Whitaker, 1991)


Neurocognitive architecture of numeracy skills

Work directly conducted or inspired by Brian

No of papers 1991- to date= at least 60!


  • Numeracy independent of other cognitive skills ?

  • 2. Relationship between cultural domains such as number / general semantic knowledge?

  • 3. Specialization for different types of symbols- Arabic numeral (9) Words (nine)- within the cultural domains of reading and writing ?

  • 4. Organization of calculation system? arithmetical facts


1 independence patient cg loss of numbers 4
1.Independence- Patient CG-LOSS OF NUMBERS >4

120

100

80

Percent correct

60

40

20

0

Reading

aloud

Reciting

numbers

What comes

next

Calculation

LEFT FRONTO PARIETAL DAMAGE

Numeracy Tasks

>4

<4

Number facts

(Cipolotti , Butterworth and Denes, 1991)


CG- loss of numbers >4

An impairment in dealing with quantities

A deficit in the reasoning abilities thought to underlie the concept of numbers


2. Relationship between cultural domains such as number/general semantic Knowldge?CG: Parietal impairment- loss of numbers >4 BUT preserved semantic memory

% correct answers

Picture Picture

naming pointing

Animals 80 100

Fruits & Vegetables 100 100

Body Parts 100 100

Musical Instruments 90 100

Vehicle 80 100

Household Objects 100 100


Parietal lobes preserved: Number knowledge intact but impaired Semantic knowledge

IH

e.g. HAB’s spontaneous speech reduced to stereotype phrases ‘I don’t know’ and jargon utterances “millionaire bub”


Semantic knowledge x
Semantic knowledge X

Visual tasks

?

Matching task

Average of <2SD above chance

Naming task

Average of <20% correct


Numerical knowledge
Numerical knowledge

  • Non-verbal number tasks (minimal linguistic skills)

0

100

37 ?

Average of 90% correct

  • Verbal number tasks (requiring linguistic skills)

 

 

How many?

Average of 95% correct

  • Calculation tasks (knowledge of number facts, arithmetical procedures)

23 x

35 =

?

Average of 85% correct


Reading and writing number names

Numerical knowledge √

Semantic knowledge X

writing to dictation

Reading aloud

Reading, writing and semantics

  • Eight

  • You

  • Sixteen

  • Cash

  • Sixty

  • Flash

  • Hundred

  • Canyon

  • Ninety

  • Basic

  • Seventy

  • Gave

  • Nine

  • Event

  • Seventeen

Butterworth et al., 2001; Cappelletti et al., 2002


3 specialization for different symbols 9 vs nine within the cultural domains of reading and writing
3. Specialization for different symbols- 9 vs nine- within the cultural domains of reading and writing

3 patients (Pt R1, Pt R2, Pt W) with left parietal lobe lesions (not exclusively)

Number comprehension √

  • READING ALOUD (Pt R1)

  • Stimulus Response

  • 80 X “eight”

  • X “forty six”

  • Eighty√

  • Four hundred and six√

  • Moustache √

  • Column √

  • WRITING TO DICTATION (Pt W)

  • “Three thousand two hundred” X 3000.200

  • “One thousand” X 1000,000

  • Moustache √

  • Column √

Reading

Writing


  • Numeracy independent of other cognitive skills ?

  • 2. Relationship between cultural domains such as number / general semantic knowledge?

  • 3. Specialization for different types of symbols- Arabic numeral (9) Words (nine)- within the cultural domains of reading and writing ?

  • 4. Organization of calculation system? arithmetical facts


Arithmetical fact impairments

Percentage correct

Patient S2:

MRI showing lesion in supramarginal gyrus abutting the left intraparietal sulcus. The right hemisphere is normal.

Patient M1:

MRI approximately five centimeters from midline showing complete sparing of the left supramarginal gyrus and left angular gyrus.


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