1,702 Citations
Abstract representations of numbers in the animal and human brain
- Psychology, BiologyTrends in Neurosciences
- 1998
Development of Elementary Numerical Abilities: A Neuronal Model
- Computer ScienceJournal of Cognitive Neuroscience
- 1993
The computer simulations account for several phenomena in the numerical domain, including the distance effect and Fechner's law for numbers, and demonstrate that infants' numerosity detection abilities may be explained without assuming that infants can count.
Symbols and quantities in parietal cortex: elements of a mathematical theory of number representation and manipulation
- Psychology
- 2007
In this chapter, I put together the first elements of a mathematical theory relating neurobiological observations to psychological laws in the domain of numerical cognition. The starting point is the…
Précis of The Number Sense
- Biology, Psychology
- 2001
The hypothesis is that number sense rests on cerebral circuits that have evolved specifically for the purpose of representing basic arithmetic knowledge, and that higher–level cultural devel-opments in arithmetic emerge through the establishment of linkages between this core analogical representation (the ‘number line’ ) and other verbal and visual representations of number notations.
Semantic and Perceptual Processing of Number Symbols: Evidence from a Cross-linguistic fMRI Adaptation Study
- Biology, PsychologyJournal of Cognitive Neuroscience
- 2013
This work uses an fMRI adaptation paradigm to examine the neural response to Hindu-Arabic numerals and Chinese numerical ideographs in a group of Chinese readers who could read both symbol types and a control group who can read only the numerals.
The Cognitive Advantages of Counting Specifically: A Representational Analysis of Verbal Numeration Systems in Oceanic Languages
- PsychologyTop. Cogn. Sci.
- 2015
Analysis of two types of verbal numeration systems that were in parallel use in several Oceanic languages and indicate that the object-specific systems outperform the general systems with respect to counting and mental arithmetic is indicated.
Cognitive neuropsychological models of adult calculation and number processing: the role of the surface format of numbers
- PsychologyEuropean Child & Adolescent Psychiatry
- 2009
Several brain-damaged patients showed a series of performance dissociations related to the surface format of numbers. These findings provide empirical evidence against two crucial assumptions of the…
Neuroimaging Contributions to the Understanding of Neuropsychological Cognitive Processing for Numeracy and Mathematics
- Psychology
- 2020
Numerical and mathematical processing skills has a long history from the ancient classical Greeks Plato, Aristotle Frank, Mendel [1] to the birth of modern psychology, with John Dewey [2], Conant…
The Neural Development of an Abstract Concept of Number
- Psychology, BiologyJournal of Cognitive Neuroscience
- 2009
The data reveal that when young children compare numerical values in symbolic and nonsymbolic notations, they invoke the same network of brain regions as adults including occipito-temporal and parietal cortex and children also recruit inferior frontal cortex during these numerical tasks to a much greater degree than adults.
Numerical and spatial intuitions: a role for posterior parietal cortex?
- Biology
- 2008
This chapter begins by reviewing recent behavioral, patient, and transcranial magnetic stimulation (TMS) data showing that certain aspects of numerical understanding depend on spatial representations, and presents a refined hypothesis concerning specific neural regions in the intraparietal sulcus involved in these numerical and spatial processes.
References
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Cognitive processes in verbal-number production: inferences from the performance of brain-damaged subjects.
- Biology, PsychologyJournal of experimental psychology. General
- 1986
A model of the cognitive processes involved in the spoken production of verbal numbers is presented, arguing that verbal-number production involves the generation of a syntactic frame that constitutes a plan for the production of the appropriate sequence of words.
Numerical competence in animals: Definitional issues, current evidence, and a new research agenda
- PsychologyBehavioral and Brain Sciences
- 1988
Abstract Numerical competence is one of the many aspects of animal cognition that have enjoyed a resurgence of interest during the past decade. Evidence for numerical abilities in animals has…
Cognitive arithmetic: comparison of operations.
- PsychologyJournal of experimental psychology. Learning, memory, and cognition
- 1984
The finding that probability of making errors contributes independently of problem size to RT support a distinction between location and accessibility of information in a network.
Integrated versus modular theories of number skills and acalculia
- PsychologyBrain and Cognition
- 1991
Strategy choice procedures and the development of multiplication skill.
- PsychologyJournal of experimental psychology. General
- 1988
A detailed model of how such "mindless" processes might lead to intelligent choices of strategies in one common situation: that in which people need to choose between stating a retrieved answer and using a backup strategy is described.
Two mental calculation systems: A case study of severe acalculia with preserved approximation
- PsychologyNeuropsychologia
- 1991
Neglect dyslexia for numbers? a case report
- Psychology
- 1991
Abstract We report the case study of a patient (YM) with a specific number reading deficit, but with fairly preserved number comprehension and calculation. YM exhibits a spatial error pattern akin to…
Rules and representations
- Philosophy, SociologyBehavioral and Brain Sciences
- 1980
Abstract The book from which these sections are excerpted (N. Chomsky, Rules and Representations, Columbia University Press, 1980) is concerned with the prospects for assimilating the study of human…