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First published online August 1, 2014

A Working Memory Account of the Interaction between Numbers and Spatial Attention

Abstract

Rather than reflecting the long-term memory construct of a mental number line, it has been proposed that the relation between numbers and space is of a more temporary nature and constructed in working memory during task execution. In three experiments we further explored the viability of this working memory account. Participants performed a speeded dot detection task with dots appearing left or right, while maintaining digits or letters in working memory. Just before presentation of the dot, these digits or letters were used as central cues. These experiments show that the “attentional SNARC-effect” (where SNARC is the spatial–numerical association of response codes) is not observed when only the lastly perceived number cue—and no serially ordered sequence of cues—is maintained in working memory (Experiment 1). It is only when multiple items (numbers in Experiment 2; letters in Experiment 3) are stored in working memory in a serially organized way that the attentional cueing effect is observed as a function of serial working memory position. These observations suggest that the “attentional SNARC-effect” is strongly working memory based. Implications for theories on the mental representation of numbers are discussed.

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References

Casarotti M., Michielin M., Zorzi M., & Umiltà C. (2007). Temporal order judgment reveals how number magnitude affects visuospatial attention. Cognition, 102, 101–117.
Chen Q., & Verguts T. (2012). Spatial intuition in elementary arithmetic: A neurocomputational account. PLoS One, 7(2), e31180.
Crannell C. W., & Parrish J. M. (1957). A comparison of immediate memory span for digits, letters, and words. Journal of Psychology: Interdisciplinary and Applied, 44, 319–327.
Dehaene S., Bossini S., & Giraux P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology-General, 122(3), 371–396.
Dehaene S., Naccache L., Le Clec'H G., Koechlin E., Mueller M., Dehaene-Lambertz G., van de Moortele P.-F. & Le Bihan D. (1998). Imaging unconscious semantic priming. Nature, 395(6702), 597–600.
Di Bono M. G., & Zorzi M. (2013). The spatial representation of numerical and non-numerical ordered sequences: Insights from a random generation task. Quarterly Journal of Experimental Psychology, 66(12), 2348–2362.
Dodd M. D. (2011). Negative numbers eliminate, but do not reverse, the attentional SNARC effect. Psychological Research-Psychologische Forschung, 75(1), 2–9.
Dodd M. D., Van der Stigchel S., Leghari M. A., Fung G., & Kingstone A. (2008). Attentional SNARC: There's something special about numbers (let us count the ways). Cognition, 108, 810–818.
Fischer M. H. (2003). Spatial representations in number processing - evidence from a pointing task. Visual Cognition, 10(4), 493–508.
Fischer M. H., Castel A. D., Dodd M. D., & Pratt J. (2003). Perceiving numbers causes spatial shifts of attention. Nature Neuroscience, 6(6), 555–556.
Fischer M. H., Mills R. A., & Shaki S. (2010). How to cook a SNARC: Number placement in text rapidly changes spatial-numerical associations. Brain and Cognition, 72(3), 333–336.
Friesen C. K., & Kingstone A. (1998). The eyes have it! Reflexive orienting is triggered by nonpredictive gaze. Psychonomic Bulletin & Review, 5(3), 490–495.
Galfano G., Rusconi E., & Umilta C. (2006). Number magnitude orients attention, but not against one's will. Psychonomic Bulletin & Review, 13(5), 869–874.
Gevers W., Reynvoet B., & Fias W. (2003). The mental representation of ordinal sequences is spatially organized. Cognition, 87(3), B87–B95.
Goffaux V., Martin R., Dormal G., Goebel R., & Schiltz C. (2012). Attentional shifts induced by uninformative number symbols modulate neural activity in human occipital cortex. Neuropsychologia, 50(14), 3419–3428.
Herrera A., Macizo P., & Semenza C. (2008). The role of working memory in the association between number magnitude and space. Acta Psychologica, 128(2), 225–237.
Hubbard E. M., Piazza M., Pinel P., & Dehaene S. (2005). Interactions between number and space in parietal cortex. Nature Reviews Neuroscience, 6(6), 435–448.
Jarick M., Dixon M., Maxwell E., Nicolls M., & Smilek D. (2009). The ups and downs (and lefts and rights) of synaesthetic number forms: Validation from spatial cueing and SNARC-type tasks. Cortex, 45, 1190–1199.
Knops A., Thirion B., Hubbard E. M., Michel V., & Dehaene S. (2009). Recruitment of an Area Involved in Eye Movements During Mental Arithmetic. Science, 324(5934), 1583–1585.
Marshuetz C., Smith E. E., Jonides J., DeGutis J., & Chenevert T. L. (2000). Order information in working memory: fMRI evidence for parietal and prefrontal mechanisms. Journal of Cognitive Neuroscience, 12, 130–144.
McCrink K., Dehaene S., Dehaene-Lambertz G. (2007). Moving along the number line: Operational momentum in nonsymbolic arithmetic. Perception & Psychophysics, 69(8), 1324–1333.
Monsell S. (2003). Task switching. Trends in Cognitive Sciences, 7(3), 134–140.
Previtali P., de Hevia M. D., & Girelli L. (2010). Placing order in space: The SNARC effect in serial learning. Experimental Brain Research, 201(3), 599–605.
Raghubar K., Barnes M., Hecht S. (2010). Working memory and mathematics: A review of developmental, individual difference, and cognitive approaches. Learning and Individual Differences, 20, 110–122.
Ranzini M., Dehaene S., Piazza M., & Hubbard E. M. (2009). Neural mechanisms of attentional shifts due to irrelevant spatial and numerical cues. Neuropsychologia, 47(12), 2615–2624.
Reynvoet B., Brysbaert M., & Fias W. (2002). Semantic priming in number naming. Quarterly Journal of Experimental Psychology A, 55(4), 1127–1139.
Ristic J., Wright A., & Kingstone A. (2006). The number line effect reflects top-down control. Psychonomic Bulletin & Review, 13(5), 862–868.
Rossetti Y., Jacquin-Courtois S., Aiello M., Ishihara M., brozzolli C., & Doricchi F. (2011). Neglect “around the Clock”: Dissociating number and spatial neglect in right brain damage. In Dehaene S. & Brannon E. M. (Eds.), Space, time and number in the brain: Searching for the foundations of mathematical thought (pp. 149–173). Amsterdam: Elsevier. Retrieved from https://doi.org/10.1016/B978-0-12-385948-8.00011-6
Tipples J. (2002). Eye gaze is not unique: Automatic orienting in response to uninformative arrows. Psychonomic Bulletin & Review, 9(2), 314–318.
Treccani B., & Umilta C. (2010). How to cook a SNARC? Space may be the critical ingredient, after all: A comment on Fischer, Mills, and Shaki (2010). Brain and Cognition, 75(3), 310–315.
van Dijck J.-P., Abrahamse E. L., Majerus S., & Fias W. (2013). Spatial attention drives serial order retrieval in verbal working memory. Psychological Science, 24(9), 1854–1859.
van Dijck J.-P., & Fias W. (2011). A working memory account for spatial numerical associations. Cognition, 119(1), 114–119.
van Dijck J.-P., Gevers W., & Fias W. (2009). Numbers are associated with different types of spatial information depending on the task. Cognition, 113, 248–253.
Van Opstal F., Fias W., Peigneux P., & Verguts T. (2009). The neural representation of extensively trained ordered sequences. Neuroimage, 47(1), 367–375.
Zorzi M., Priftis K., Meneghello F., Marenzi R., & Umilta C. (2006). The spatial representation of numerical and non-numerical sequences: Evidence from neglect. Neuropsychologia, 44(7), 1061–1067.
Zorzi M., Priftis K., & Umilta C. (2002). Brain damage - Neglect disrupts the mental number line. Nature, 417(6885), 138–139.

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Published In

Article first published online: August 1, 2014
Issue published: August 2014

Keywords

  1. Numbers and space
  2. Spatial–numerical association of response codes
  3. Mental number line
  4. Working memory
  5. Spatial attention

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© 2014 Experimental Pscyhology Society.
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PubMed: 24749504

Authors

Affiliations

Jean-Philippe van Dijck
Department of Experimental Psychology, University of Ghent, Ghent, Belgium
Collaborative Antwerp Psychiatric Research Institute, University of Antwerp, Antwerp, Belgium
Elger L. Abrahamse
Department of Experimental Psychology, University of Ghent, Ghent, Belgium
Freya Acar
Department of Experimental Psychology, University of Ghent, Ghent, Belgium
Boris Ketels
Department of Experimental Psychology, University of Ghent, Ghent, Belgium
Wim Fias
Department of Experimental Psychology, University of Ghent, Ghent, Belgium

Notes

Department of Experimental Psychology, Faculty of Psychology and Educational Sciences, University of Ghent, Henri Dunantlaan 2, 9000 Ghent, Belgium, E-mail: [email protected]
Jean-Philippe van Dijck and Elger L. Abrahamse contributed equally to this work and should be considered joint first authors.

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