mathematical difficulties - DD Flashcards

1
Q

effect of difficulties with maths as a child on later life

A

difficulties in maths are common and persist into adulthood

low numeracy skills related to higher rates of unemployment, low salary, increased risk of depression, poorer health

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2
Q

how many adults have low maths skills in England

A

6.8 million adults in England were estimated to have skills at or below level expected for typical 9-year-old (Department for Education and Skills, 2003)

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3
Q

how many children have severe mathematical difficulties

A

3-10%

e.g. developmental dyscalculia

larger number of children and adults estimated to have less severe mathematical difficulties, impacting educational and occupational outcomes

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4
Q

is there more research in reading or maths

A

less research on mathematical disorders (e.g., dyscalculia) compared to reading disorders (e.g., dyslexia)

a lot less research of maths difficulties compared to reading difficulties

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5
Q

what is developmental dyscalculia + how many people have it

A

specific impairment of mathematical ability

affects approximately 3.5-6.5% of the population

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6
Q

what difficulties are associated with developmental dyscalculia - in early childhood (7)

A
  • number sense
  • sorting objects
  • recognising patterns or groups
  • comparing and contrasting magnitude
  • learning to count
  • recognising numbers
  • matching numbers with amounts
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7
Q

what difficulties are associated with developmental dyscalculia - in school-age children (5)

A
  • solving basic arithmetic problems (addition, subtraction, multiplication division)
  • remembering and retaining basic maths facts (e.g., times tables)
  • applying knowledge and skills to solve maths problems
  • organising maths facts needed to solve a problem
  • understanding what’s written on a board or in a textbook
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8
Q

what difficulties are associated with developmental dyscalculia - in teens and adults (3)

A
  • moving on to more advanced mathematical concepts
  • grasp mathematical vocabulary
  • following multi-step procedures to solve advanced problems:
    –> visualise patterns
    –> visualise different parts of a maths problem
    –> identifying critical information needed to solve problems
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9
Q

warning signs of developmental dyscalculia (9)

A
  • slow to develop counting and maths problem-solving skills
  • difficulty reading numbers or recalling numbers in sequence
  • frustration when specific computation and organisation skills need to be used
  • concept of time issues
  • poor sense of direction
  • poor long-term memory of concepts
  • poor mental maths ability
  • difficulty playing strategy games e.g. chess
  • difficulty keeping score during games
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10
Q

how DD is diagnosed

A

performance on standardised maths achievement test

low performance compared to others of same age that can’t be explained by inappropriate education, neurological disorders, or psychiatric disorders = DD

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11
Q

DSM-5 definition of DD (+ 3 specific types)

A

Specific Learning Disorder

“A neurodevelopmental disorder of biological origin manifested in learning difficulty and problems in acquiring academic skills markedly below age level and manifested in the early school years, lasting for at least 6 months; not attributed to intellectual disabilities, developmental disorders, or neurological or motor disorders”

specify if:
- with impairment in reading
- with impairment in written expression
- with impairment in mathematics

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12
Q

change in definition of DD from DSM-IV to DSM-V

A

DSM-IV:
Reading Disorder, Mathematics Disorder, Disorder of Written Expression, Learning Disorder Not Otherwise Specified

DSM-V:
Specific Learning Disorder

specific types of reading deficits are described internationally as dyslexia

specific types of mathematics deficits as dyscalculia

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13
Q

change from DSM-IV to DSM-V with IQ discrepancy

A

DSM-IV = more than 2 standard deviations between maths and IQ

DSM-V = no IQ discrepancy criteria = little evidence that the numerical difficulties of children with developmental dyscalculia differ dependent on IQ level

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14
Q

DSM-V diagnostic criteria of SLD - 3 specifiers and severities

A

SLD = specific learning disorder

  • impairment in reading (word reading accuracy, reading rate or fluency, reading comprehension) = dyslexia
  • impairment in written expression (spelling accuracy, grammar and punctuation accuracy, clarity or organisation of written expression)
  • impairment in mathematics (number sense, memorisation of arithmetic facts, accurate or fluent calculation, accurate maths reasoning) = dyscalculia

3 levels of severity:

  • mild
  • moderate
  • severe
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15
Q

SLD with impairment in mathematics - DSM-V - 4 criterion

A

4 criteria must be met:

A

  • difficulties learning and using academic skills
  • persisted at least 6 months, despite intervention
  • presence of at least one of:
    –> difficulties mastering number sense, number facts, or calculation
    –> difficulties with mathematical reasoning

B

  • skills are substantially below those expected for the individual’s chronological age
  • skills interfere with academic/occupational performance/activities of daily living
  • confirmed by standardized achievement measures and comprehensive clinical assessment

C

  • difficulties begin during school-age years
  • may not fully manifest until demands exceed capacity (e.g., timed tests, deadlines)

D
- not better explained by other factors (e.g., intellectual disabilities, visual or auditory issues, other mental or neurological disorders)

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16
Q

DD comorbidity

A

1/2 to 2/3 children with DD have an additional learning disorder

common ones:

  • reading difficulties
  • ADHD
  • language delay
  • problems with visuospatial working memory
  • motoric deficits
17
Q

why are comorbid conditions with DD unclear

A

Additive effect? Shared risk factors?

Clear evidence for genetic risk

18
Q

practical implications of comorbidity with DD

A

less able to use compensatory mechanisms due to additional co-occurring deficits

interventions then may need to be tailored for those with or without comorbid conditions

19
Q

2 theories of DD

A

domain-specific

  • underlying core deficit is a numeral deficit

domain general

  • impairment in non-numerical mechanisms
20
Q

ANS

A

ANS = approximate number system

mental system responsible for representing and processing numerical magnitude information

deficits seen in domain-specific theory of DD

21
Q

domain-specific DD - ANS deficit

A

deficit in ANS system

deficit in representing large nonsymbolic numerosities → developmental dyscalculia

DD reflects problem with processing magnitude

more precise ANS = faster/more sold number word and/or Arabic digit acquisition

22
Q

task for ANS

A

are there more blue or yellow dots (slide 21)

children with maths learning disability (ALD) had poorer ANS acuity

23
Q

issue with domain specific ANS deficit theory of DD

A

several studies fail to find ANS deficit in children with developmental dyscalculia

24
Q

domain specific DD - symbolic processing deficit

A

deficit in symbolic representations

“Access deficit” - difficulties accessing numerical magnitude representations from symbols

assumes symbolic number representations shape the ANS

25
Q

symbolic magnitude processing task

A

present with 2 numbers, say which is bigger

longer response times for symbolic comparison in children with DD - no difference in accuracy, just speed

26
Q

numerical stroop task

A

shown 2 numbers which are physically and numerically different sizes

either asked to say physically larger number or numerically

can have congruent (physically and numerically larger number) and incongruent trials (physically larger is numerically smaller)

result:

smaller or absent size congruity effect in children with DD

because they do not automatically process numbers, they can ignore the numerical value and easily pick the physically larger number

27
Q

transcoding tasks

A

present with a number verbally then have to write it down

results:
DD make more mistakes with transcoding than NT peers

e.g. may have issues with placeholing e.g. write 1000100101 rather than 1111

28
Q

domain general theory - WM deficit

A

Working memory: Ability to hold information in memory while processing new information

verbal working memory

visuospatial working memory
–> keeping track of place-value alignment
–> visuospatial representation of numbers (e.g., mental number line)

deficits in visuospatial working memory both at the behavioural and neural level for children with dyscalculia

would make sense at a neural level with specific brain area deficits with VS WM

29
Q

task of visuospatial working memory

A

have to tap sqaures in reverse order to pattern shown (like simon game but backwards)

impairments seen in those with DD

30
Q

serial order in WM task

A

have to say names of animals on cards in right order - remember and repeat them in correct order

DD have impairments in serial order WM

31
Q

domain general theory - attentional/executive deficits

A

attentional/executive functions important for mathematics

  • inhibition
  • shifting

some evidence that these functions might be impaired in children with developmental dyscalculia

32
Q

flaws with 2 theories of DD

A

domain specific:

  • core deficit in symbolic processing?

domain general:

  • core feature? or comorbidity?
  • all about WM and attention, so maybe it’s all about poor EF, which one causes the other or are they just comorbid
  • could it be a brain region which has issues spanning both WM and maths ability
33
Q

heterogeneity at behavioural, cognitive, and biological level as a core feature of DD

A

Caused by several subtypes of dyscalculia? Comorbidities with learning disorders? Diagnostic issues? Different trajectories of development?