A working memory account of the interaction between numbers and spatial attention

REFERENCES

• Casarotti, M., Michielin, M., Zorzi, M., & Umiltà, C. (2007). Temporal order judgment reveals how number magnitude affects visuospatial attention. Cognition, 102, 101–117. doi:10.1016/j.cognition.2006.09.001
   PubMed Web of Science ®Google Scholar
• Chen, Q., & Verguts, T. (2012). Spatial intuition in elementary arithmetic: A neurocomputational account. PLoS One, 7(2), e31180. doi:10.1371/journal.pone.0031180
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1080/00223980.1957.9713089
   Google Scholar
• Dehaene, S., Bossini, S., & Giraux, P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology-General, 122(3), 371–396. doi:10.1037/0096-3445.122.3.371
   Web of Science ®Google Scholar
• 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. doi:10.1038/26967
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1080/17470218.2013.779730
   PubMed Web of Science ®Google Scholar
• Dodd, M. D. (2011). Negative numbers eliminate, but do not reverse, the attentional SNARC effect. Psychological Research-Psychologische Forschung, 75(1), 2–9. doi:10.1007/s00426-010-0283-6
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1016/j.cognition.2008.04.006
   PubMed Web of Science ®Google Scholar
• Fischer, M. H. (2003). Spatial representations in number processing - evidence from a pointing task. Visual Cognition, 10(4), 493–508. doi:10.1080/13506280244000186
   Web of Science ®Google Scholar
• 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. doi:10.1038/nn1066
   PubMed Web of Science ®Google Scholar
• 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. doi:/10.1016/j.bandc.2009.10.010
   PubMed Web of Science ®Google Scholar
• Friesen, C. K., & Kingstone, A. (1998). The eyes have it! Reflexive orienting is triggered by nonpredictive gaze. Psychonomic Bulletin & Review, 5(3), 490–495. doi:10.3758/BF03208827
   Web of Science ®Google Scholar
• Galfano, G., Rusconi, E., & Umilta, C. (2006). Number magnitude orients attention, but not against one's will. Psychonomic Bulletin & Review, 13(5), 869–874. doi:10.3758/BF03194010
   PubMed Web of Science ®Google Scholar
• Gevers, W., Reynvoet, B., & Fias, W. (2003). The mental representation of ordinal sequences is spatially organized. Cognition, 87(3), B87–B95. doi:10.1016/S0010-0277(02)00234-2
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1016/j.neuropsychologia.2012.09.046
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1016/j.actpsy.2008.01.002
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1038/nrn1684
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1016/j.cortex.2009.04.015
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1126/science.1171599
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1162/08989290051137459
   PubMed Web of Science ®Google Scholar
• McCrink, K., Dehaene, S., Dehaene-Lambertz, G. (2007). Moving along the number line: Operational momentum in nonsymbolic arithmetic. Perception & Psychophysics, 69(8), 1324–1333. doi:10.3758/BF03192949
   PubMed Web of Science ®Google Scholar
• Monsell, S. (2003). Task switching. Trends in Cognitive Sciences, 7(3), 134–140. doi:10.1016/S1364-6613(03)00170-0
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1007/s00221-009-2063-3
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1016/j.lindif.2009.10.005
   Web of Science ®Google Scholar
• 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. doi:10.1016/j.neuropsychologia.2009.05.011
   PubMed Web of Science ®Google Scholar
• Reynvoet, B., Brysbaert, M., & Fias, W. (2002). Semantic priming in number naming. Quarterly Journal of Experimental Psychology A, 55(4), 1127–1139. doi:10.1080/02724980244000116
   PubMed Web of Science ®Google Scholar
• Ristic, J., Wright, A., & Kingstone, A. (2006). The number line effect reflects top-down control. Psychonomic Bulletin & Review, 13(5), 862–868. doi:10.3758/BF03194010
   PubMed Web of Science ®Google Scholar
• 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 S. Dehaene & E. M. Brannon (Eds.), Space, time and number in the brain: Searching for the foundations of mathematical thought (pp. 149–173). Amsterdam: Elsevier. Retrieved from http://dx.doi.org/10.1016/B978-0-12-385948-8.00011-6
   Google Scholar
• Tipples, J. (2002). Eye gaze is not unique: Automatic orienting in response to uninformative arrows. Psychonomic Bulletin & Review, 9(2), 314–318. doi:10.3758/BF03196287
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1016/j.bandc.2010.11.006
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1177/0956797613479610
   PubMed Web of Science ®Google Scholar
• van Dijck, J.-P., & Fias, W. (2011). A working memory account for spatial numerical associations. Cognition, 119(1), 114–119. doi:10.1016/j.cognition.2010.12.013
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1016/j.cognition.2009.08.005
   PubMed Web of Science ®Google Scholar
• Van Opstal, F., Fias, W., Peigneux, P., & Verguts, T. (2009). The neural representation of extensively trained ordered sequences. Neuroimage, 47(1), 367–375. doi:10.1016/j.neuroimage.2009.04.035
   PubMed Web of Science ®Google Scholar
• 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. doi:10.1016/j.neuropsychologia.2005.10.025
   PubMed Web of Science ®Google Scholar
• Zorzi, M., Priftis, K., & Umilta, C. (2002). Brain damage - Neglect disrupts the mental number line. Nature, 417(6885), 138–139. doi:10.1038/417138a
   PubMed Web of Science ®Google Scholar