Varieties of numerical abilities

  title={Varieties of numerical abilities},
  author={Stanislas Dehaene},
  • S. Dehaene
  • Published 31 December 1992
  • Psychology
  • Cognition
Development of Elementary Numerical Abilities: A Neuronal Model
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
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
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
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
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
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
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
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?
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.


Cognitive processes in verbal-number production: inferences from the performance of brain-damaged subjects.
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
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.
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.
Strategy choice procedures and the development of multiplication skill.
  • R. Siegler
  • Psychology
    Journal 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.
Neglect dyslexia for numbers? a case report
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
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