Abstract:Neural representations of approximate numerical value, or numerosity, have been observed in the intraparietal sulcus (IPS) in monkeys and humans, including children. Using functional magnetic resonance imaging, we show that children as young as 3-4 years old exhibit neural tuning to cardinal numerosities in the IPS and that their neural responses are accounted for by a model of numerosity coding that has been used to explain neural responses in the adult IPS. We also found that the sensitivity of children's ne… Show more
“…Longitudinal changes in IPS connectivity supporting arithmetic problem solving The IPS has been shown to play a key role in quantity processing, and the development of both basic numeracy 17,44 as well as complex numerical problem solving skills. 37 In order to test the prediction that IPS connectivity changes over the course of Black circles represent single fMRI scan acquisitions, and multiple scans for one child are represented by interconnecting lines development, we computed IPS functional connectivity maps derived from the arithmetic verification task relative to a number identification control task.…”
Section: Longitudinal Changes In Age-normed Math Abilitiesmentioning
Cognitive development is thought to depend on the refinement and specialization of functional circuits over time, yet little is known about how this process unfolds over the course of childhood. Here we investigated growth trajectories of functional brain circuits and tested an interactive specialization model of neurocognitive development which posits that the refinement of taskrelated functional networks is driven by a shared history of co-activation between cortical regions. We tested this model in a longitudinal cohort of 30 children with behavioral and task-related functional brain imaging data at multiple time points spanning childhood and adolescence, focusing on the maturation of parietal circuits associated with numerical problem solving and learning. Hierarchical linear modeling revealed selective strengthening as well as weakening of functional brain circuits. Connectivity between parietal and prefrontal cortex decreased over time, while connectivity within posterior brain regions, including intrahemispheric and inter-hemispheric parietal connectivity, as well as parietal connectivity with ventral temporal occipital cortex regions implicated in quantity manipulation and numerical symbol recognition, increased over time. Our study provides insights into the longitudinal maturation of functional circuits in the human brain and the mechanisms by which interactive specialization shapes children's cognitive development and learning.
“…Longitudinal changes in IPS connectivity supporting arithmetic problem solving The IPS has been shown to play a key role in quantity processing, and the development of both basic numeracy 17,44 as well as complex numerical problem solving skills. 37 In order to test the prediction that IPS connectivity changes over the course of Black circles represent single fMRI scan acquisitions, and multiple scans for one child are represented by interconnecting lines development, we computed IPS functional connectivity maps derived from the arithmetic verification task relative to a number identification control task.…”
Section: Longitudinal Changes In Age-normed Math Abilitiesmentioning
Cognitive development is thought to depend on the refinement and specialization of functional circuits over time, yet little is known about how this process unfolds over the course of childhood. Here we investigated growth trajectories of functional brain circuits and tested an interactive specialization model of neurocognitive development which posits that the refinement of taskrelated functional networks is driven by a shared history of co-activation between cortical regions. We tested this model in a longitudinal cohort of 30 children with behavioral and task-related functional brain imaging data at multiple time points spanning childhood and adolescence, focusing on the maturation of parietal circuits associated with numerical problem solving and learning. Hierarchical linear modeling revealed selective strengthening as well as weakening of functional brain circuits. Connectivity between parietal and prefrontal cortex decreased over time, while connectivity within posterior brain regions, including intrahemispheric and inter-hemispheric parietal connectivity, as well as parietal connectivity with ventral temporal occipital cortex regions implicated in quantity manipulation and numerical symbol recognition, increased over time. Our study provides insights into the longitudinal maturation of functional circuits in the human brain and the mechanisms by which interactive specialization shapes children's cognitive development and learning.
“…(A) Neurons in intraparietal cortex respond maximally to a preferred numerical value and their firing rate decreases as a function of the numerical ratio of a stimulus to the preferred value (scale inverted to show parallels to human data in B; ). (B) Neural activity in intraparietal cortex in 3‐ to 6‐year‐olds is modulated by the numerical ratio between a standard stimulus and a novel stimulus .…”
“…A second prediction of evolutionarily primitive mechanisms is that they should emerge early in development . In a recent study, 3‐ to 6‐year‐old children were tested in an fMRI adaptation paradigm in which they saw a constant sequence of dot arrays that typically had the same numerical value, shape, surface area, and dot color ; the number, surface area, or dot color of the elements would change occasionally. The intraparietal sulcus responded more strongly to numerical changes than to other types of stimulus changes, even in 3‐ to 4‐year‐olds.…”
The types of cognitive and neural mechanisms available to children for making concepts depend on the problems their brains evolved to solve over the past millions of years. Comparative research on numerical cognition with humans and nonhuman primates has revealed a system for quantity representation that lays the foundation for quantitative development. Nonhuman primates in particular share many human abilities to compute quantities, and are likely to exhibit evolutionary continuity with humans. While humans conceive of quantity in ways that are similar to other primates, they are unique in their capacity for symbolic counting and logic. These uniquely human constructs interact with primitive systems of numerical reasoning. In this article, I discuss how evolution shapes human numerical concepts through evolutionary constraints on human object-based perception and cognition, neural homologies among primates, and interactions between uniquely human concepts and primitive logic.
“…A key open question concerns the developmental origins and role of experience in the establishment of IPS quantity representations. IPS responses to approximate number are present in children by the age of 3 to 4 years (Cantlon, Brannon, Carter, & Pelphrey, 2006;Kersey & Cantlon, 2017), and parietal responses to numerosities are revealed by near-infrared spectroscopy in 6-month old infants (Hyde, Boas, Blair, & Carey, 2010) and event-related potentials in 3-month old infants (Izard, Dehaene-Lambertz, & Dehaene, 2008). However, it is unclear whether and what kind of experience is necessary for this specialization.…”
Section: Introductionmentioning
confidence: 99%
“…Once in place, IPS number representations could become accessible through other sensory modalities and, in numerate humans, through symbols such as Arabic numerals. Neuroimaging findings in children do not address this possibility, as they have focused on visual stimuli Izard et al, 2008;Kersey & Cantlon, 2017).…”
Thinking about numerical quantities is an integral part of daily human life that is supported by the intraparietal sulcus (IPS). The IPS is recruited during mathematical calculation and neuronal populations within the IPS code for the quantity of items in a set. Is the developmental basis of IPS number representations rooted in visual experience? We asked if the IPS possesses population codes for auditory quantities in sighted individuals and, critically, whether it does in the absence of any visual experience in congenitally blind individuals. We found that sequences of 4, 8, 16 and 32 tones each elicited unique patterns of fMRI activity in the IPS of both sighted and congenitally blind individuals, such that the quantity a participant heard on a given trial could be reliably predicted based on the pattern of observed IPS activity. This finding suggests that the IPS number system is resilient to dramatic changes in sensory experience. 43 -72 36 8.99 Right subcentral gyrus and sulci 56 -13 16 8.79 Right precuneus 6 -72 48 8.54 Right inferior occipital gyrus and sulcus 45 -72 -7 8.49 Right middle temporal gyrus 64 -46 0 8.24 Right inferior temporal gyrus 56 -46 -23 7.95 Right straight gyrus 5 47 -17 7.65
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