Symbolic Integration, Not Symbolic Estrangement, For Double-Digit Numbers

Symbolic and non-symbolic number representations are thought to share common neural substrates. However, recent studies have shown that the two numerical systems are more distinct than previously thought. These disparate findings may be explained by the use of sequential presentations of symbolic and non-symbolic quantities, the use of magnitude-reliant tasks, or the use of limited number ranges. We investigated whether adults integrate symbolic and non-symbolic numerical information during a non-magnitude-based task in which symbolic and non-symbolic double-digit numerical information is shown simultaneously. Participants viewed images in which symbolic numerals or letter pairs were superimposed on non-symbolic numerical stimuli and were asked to determine whether the text was a numeral or letter, ignoring the dots. After perceptual biases were taken into account, participants were more accurate and faster in their judgments when symbolic and non-symbolic information matched than when information mismatched, suggesting that adults can integrate symbolic and non-symbolic numerical information.

[1]  S. Dehaene,et al.  Abstract representations of numbers in the animal and human brain , 1998, Trends in Neurosciences.

[2]  R. Goebel,et al.  Deviant processing of letters and speech sounds as proximate cause of reading failure: a functional magnetic resonance imaging study of dyslexic children. , 2010, Brain : a journal of neurology.

[3]  Justin Halberda,et al.  Number sense across the lifespan as revealed by a massive Internet-based sample , 2012, Proceedings of the National Academy of Sciences.

[4]  S. Dehaene,et al.  Representation of number in the brain. , 2009, Annual review of neuroscience.

[5]  Becky Wong,et al.  Single-digit Arabic numbers do not automatically activate magnitude representations in adults or in children: Evidence from the symbolic same–different task , 2013, Acta psychologica.

[6]  S. Dehaene Varieties of numerical abilities , 1992, Cognition.

[7]  Justin Halberda,et al.  Individual differences in non-verbal number acuity correlate with maths achievement , 2008, Nature.

[8]  Sian L. Beilock,et al.  Ordinality and the Nature of Symbolic Numbers , 2013, The Journal of Neuroscience.

[9]  Leo Blomert,et al.  The neural signature of orthographic–phonological binding in successful and failing reading development , 2011, NeuroImage.

[10]  Arava Y. Kallai,et al.  Mental arithmetic activates analogic representations of internally generated sums , 2012, Neuropsychologia.

[11]  Michael W. L. Chee,et al.  Neural correlates of symbolic and non-symbolic arithmetic , 2005, Neuropsychologia.

[12]  A. Acquisti,et al.  Reputation as a sufficient condition for data quality on Amazon Mechanical Turk , 2013, Behavior Research Methods.

[13]  Daniel Ansari,et al.  Evidence against a strong association between numerical symbols and the quantities they represent , 2012, CogSci.

[14]  Lisa K Fazio,et al.  Relations of different types of numerical magnitude representations to each other and to mathematics achievement. , 2014, Journal of experimental child psychology.

[15]  G. Orban,et al.  Parietal Representation of Symbolic and Nonsymbolic Magnitude , 2003, Journal of Cognitive Neuroscience.

[16]  David C. Geary,et al.  Early Foundations for Mathematics Learning and Their Relations to Learning Disabilities , 2013, Current directions in psychological science.

[17]  Philippe Pinel,et al.  Tuning Curves for Approximate Numerosity in the Human Intraparietal Sulcus , 2004, Neuron.

[18]  Daniel Ansari,et al.  Mapping numerical magnitudes onto symbols: the numerical distance effect and individual differences in children's mathematics achievement. , 2009, Journal of experimental child psychology.