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What numerical ability is present at birth?
Non-symbolic, approximate magnitude processing (no symbols, no language)
At what age do infants discriminate large quantity differences (e.g. 8 vs 16)?
~6 months
Why can infants detect 8 vs 16 but not 8 vs 10?
Numerical magnitude representations are approximate comparison and ratio-dependent rather than exact calculation.
What numerical system is present before language?
Non-verbal, non-symbolic magnitude system
Around what age do children start learning number symbols meaningfully?
~3–4 years
What is being learned between ages 3–5 in number development?
Mapping symbols (digits, number words) onto quantities
When does IPS activity for number comparison first appear?
~4–5 years
What changes when children enter formal schooling (~5–6 years)?
Rapid gains in symbolic number processing, ordering, calculation
Which skills do not develop spontaneously without schooling?
Arithmetic and reading
What arithmetic strategy dominates early primary school (~6–7 years)?
Procedural strategies (counting, step-by-step calculation)
What is the first major arithmetic strategy shift?
From inefficient counting → more efficient counting (count-on)
When do basic arithmetic facts begin to emerge?
~7–9 years (with practice and instruction)
What characterises arithmetic development around ages 8–10?
Increasing fact retrieval + use of derived-fact strategies
What happens to prefrontal cortex involvement with age?
Decreases (less reliance on effortful control)
What happens to parietal (IPS) involvement with age?
Increases and becomes more specialised
What does the “fronto–parietal shift” reflect?
Move from effortful procedures → efficient, specialised processing
How does arithmetic strategy use differ by problem difficulty in adults?
Easy problems → retrieval; hard problems → procedures
What brain change is seen after arithmetic training (days–weeks)?
Decreased frontal and parietal activity for trained problems
Which region may support early fact retrieval in children?
Hippocampus
Which region is linked to automatised fact retrieval later on?
Angular gyrus
Why is fact retrieval considered a “graded” phenomenon?
It shifts from hippocampal to cortical support with consolidation
What is the biggest limitation in developmental brain research on arithmetic?
Lack of longitudinal (within-child) data
What moderates brain activity during arithmetic development?
Educational context (instruction style, fluency emphasis)
What brain region is consistently active during numerical magnitude processing?
Intraparietal sulcus (IPS)
Which brain region supports early arithmetic fact learning and consolidation?
Hippocampus
Which region is associated with automatised arithmetic fact retrieval?
Angular gyrus (inferior parietal cortex)
Which region supports working memory and control during procedures?
Prefrontal cortex
Which ventral stream region supports visual recognition of digits?
Fusiform gyrus
Which brain areas support semantic and verbal aspects of arithmetic?
Angular gyrus and supramarginal gyrus
Which regions are linked to spatial attention and number-line processing?
Posterior superior parietal / superior frontal regions