Gaze orientation interferes with mental numerical representation

Number comparison tasks are characterized by distance and size effects. The distance effect reveals that the higher the distance is between two numbers, the easier their magnitude comparison is. Accordingly, people are thought to represent numbers on a spatial dimension, the mental number line, on which any given number corresponds to a location on the line. The size effect, instead, states that at any given distance, comparing two small numbers is easier than comparing two large numbers, thus suggesting that larger numbers are more vaguely represented than smaller ones. In the present work we first tested whether the participants were adopting a spatial strategy to solve a very simple numbers comparison task, by assessing the presence of the distance and the magnitude effect. Secondarily, we focused on the influence of gaze position on their performance. The present results provide evidence that gaze direction interferes with number comparisons, worsening the vague representation of larger numbers and further supporting the hypothesis of the overlapping between physical and mental spaces.

[1]  A. Sack Parietal cortex and spatial cognition , 2009, Behavioural Brain Research.

[2]  Influence of lateral gaze on electroencephalographic spectral power. , 1992, Electroencephalography and clinical neurophysiology.

[3]  Michael E R Nicholls,et al.  Spatial cues affect mental number line bisections. , 2010, Experimental psychology.

[4]  L. Craighero,et al.  Eye Position Affects Orienting of Visuospatial Attention , 2004, Current Biology.

[5]  Luisa Girelli,et al.  Numbers can move our hands: a spatial representation effect in digits handwriting , 2010, Experimental Brain Research.

[6]  Jason B. Mattingley,et al.  Left to right: Representational biases for numbers and the effect of visuomotor adaptation , 2008, Cognition.

[7]  D. W. Ricker,et al.  Spatial Representation , 2021, Problem Solving in Mathematics and Beyond.

[8]  M. Brysbaert,et al.  Bilateral field interactions and hemispheric asymmetry in number comparison , 2001, Neuropsychologia.

[9]  T. Loetscher,et al.  Eye position predicts what number you have in mind , 2010, Current Biology.

[10]  Michael S. Beauchamp,et al.  A Parametric fMRI Study of Overt and Covert Shifts of Visuospatial Attention , 2001, NeuroImage.

[11]  Yale E. Cohen,et al.  A common reference frame for movement plans in the posterior parietal cortex , 2002, Nature Reviews Neuroscience.

[12]  S. Dehaene,et al.  The Number Sense: How the Mind Creates Mathematics. , 1998 .

[13]  Avishai Henik,et al.  When brightness counts: the neuronal correlate of numerical-luminance interference. , 2008, Cerebral cortex.

[14]  Aldo Genovesio,et al.  Parietal encoding of action in depth , 2009, Neuropsychologia.

[15]  Marinella Cappelletti,et al.  The Role of Right and Left Parietal Lobes in the Conceptual Processing of Numbers , 2009, Journal of Cognitive Neuroscience.

[16]  Marco Zorzi,et al.  Visuospatial priming of the mental number line , 2008, Cognition.

[17]  Silke M. Göbel,et al.  Hemispheric asymmetry and the mental number line: comparison of double-digit numbers , 2004, Neuropsychologia.

[18]  S Ferraina,et al.  Gaze modulates non-propositional reasoning: further evidence for spatial representation of reasoning premises , 2011, Neuroscience.

[19]  S. Dehaene,et al.  Differential Contributions of the Left and Right Inferior Parietal Lobules to Number Processing , 1999, Journal of Cognitive Neuroscience.

[20]  S. Dehaene,et al.  Interactions between number and space in parietal cortex , 2005, Nature Reviews Neuroscience.

[21]  S. Swinnen Some Evidence for the Hemispheric Asymmetry Model of Lateral Eye Movements , 1984, Perceptual and motor skills.

[22]  Michael D. Dodd,et al.  Perceiving numbers causes spatial shifts of attention , 2003, Nature Neuroscience.

[23]  Parashkev Nachev,et al.  Space and the parietal cortex , 2007, Trends in Cognitive Sciences.

[24]  A. Idrissi,et al.  On the Mental Representation of , 2008 .

[25]  S. Dehaene,et al.  The mental representation of parity and number magnitude. , 1993 .

[26]  Marco Zorzi,et al.  The spatial representation of numbers: evidence from neglect and pseudoneglect , 2008, Experimental Brain Research.

[27]  ROBERT S. MOYER,et al.  Time required for Judgements of Numerical Inequality , 1967, Nature.