Task 7 Flashcards
What are the three uses of numbers?
Cardinal numbers are used to represent the quantities of numbers
Ordinal/ranks are used to order numbers
Labels are used for labelling e.g. phone numbers
What are two issues that learners face regarding the uses of numbers?
- distinguish between the uses of numbers
- ensure that numbers are correctly mapped to their symbol (word-digit)
What is the distance effect?
Distance effect is the phenomenon where there is a shorter response time for numbers that have larger distances (e.g. 2-8) compared to those with shorter distances (2-3).
It can be both symbolic (i.e. digit) or non-symbolic (e.g. dots)
What is the problem size effect?
It is the phenomenon when responses are slower and less accurate when numbers are larger (e.g. it is easier to detect 3 dots that 36 dots)
Describe the development of number processing in infancy and childhood
Infants have some innate number processing abiltiies. e.g. in dishabituation paradigm they can detect changes in small numerosity of 2 & objects. Activation of right parietal lobe
Primary and middlehood = both symbolic and non-symbolic distance effect observed from 1st grade. Activation of left IPS and right PFC
Describe number processing in adulthood and neural correlates.
Both symbolic and non-symbolic distance effect are present.
Close numbers evoke more activation in the bilateral IPS than distant numbers for both symbolic and non symbolic.
What is the function of the intraparietal sulcus (IPS) and how does its activation differ in child hood and adulthood?
Its function is for magnitude representations denoted by number symbols.
It is bilaterally activated in adulthood and only activated on the left for children
What are the neural underpinnings of number processing in childhood?
PFC, left anterior ACC, Bilateral MFG - executive functions
Retrieval from declarative memory = fronto-temporo areas (left IFG, MTL, Hippocampus)
What are the neural underpinnings of number processing in adulthood?
IPS - Magnitude processing
Left frontal gyrus - visual symbol processing
Left supramarginal gyrus - retrieval of verbally coded information
What are the 3 main areas involved in number and arithmetic?
IPS
Left angular gyrus
Posterior superior parietal lobule
What is the function of IPS?
Magnitude representations that number symbols denote
What is the function of the left angular gyrus?
Retrieval of previously learned number facts
What is the function of the posterior superior parietal lobule?
Relating space to numbers (e.g. counting invisible objects?
How and when do numerical magnitude representations become automated?
Automation starts in 3rd grade.
This is when he numerical information starts to interfere regardless of the distance of numbers
How?
Automation is observed when an irrelevant dimension of a task interferes with one’s response by making respond slower.
E.g. in study 1 when determining which digit was larger in magnitude, the physical dimension which was irrelevant interfered when it was incongruent because it was processed automatically.
What is size congruity?
- The slower RT that is produced by incongruent trials compared to neutral ones
- Faster RT that is produced by congruent trials compared to neutral ones.
What is interference and when does it occur?
It is the slow reaction times produced by the incongruency of an irrelevant dimension.
- Incongruent physical size (irrelevant dimension) can interfere with numerical comparisons (relevant dimension)
- Incongruent numerical size (irrelevant dimension) can interfere with physical comparisons (relevant dimension)
What is facillitation?
Faster reaction times when relevant dimensions are congruent
When numerical comparison is relevant, what is its irrelevant dimension?
Physical size
When physical size is relevant, what is its irrelevant dimension?
Numerical size
What were the three predictions from Girelli’s study?
- Since physical size is part of the perceptual dimension, it will be highly automatic earlier on. Thus, it will have a greater influence on the numerical task.
- A link between number and their quantity representations is expected to develop more slowly and correspond to the improvement of numerical skills.
- Autonomous activation is the result of a strong association between the numeral and its quantity representation.