Larger, smaller, odd or even? Task-specific effects of optokinetic stimulation on the mental number space

REFERENCES

• Aiello, M., Jacquin-Courtois, S., Merola, S., Ottaviani, T., Tomaiuolo, F., Bueti, D., … Doricchi, F. (2012). No inherent left and right side in human ‘mental number line’: Evidence from right brain damage. Brain, 135, 2492–2505. doi:10.1093/brain/aws114
   PubMed Web of Science ®Google Scholar
• Andres, M., Olivier, E., & Badets, A. (2008). Actions, words, and numbers: A motor contribution to semantic processing? Current Directions in Psychological Science, 17, 313–317. doi:10.1111/j.1467-8721.2008.00597.x
   Web of Science ®Google Scholar
• Badets, A., & Pesenti, M. (2010). Creating number semantics through finger movement perception. Cognition, 115(1), 46–53. doi:10.1016/j.cognition.2009.11.007
   PubMed Web of Science ®Google Scholar
• Blini, E., Cattaneo, Z., & Vallar, G. (2013). Different effects of numerical magnitude on visual and proprioceptive reference frames. Frontiers in Psychology, 4, 190. doi:10.3389/fpsyg.2013.00190
   Google Scholar
• Bonato, M., Priftis, K., Marenzi, R., & Zorzi, M. (2008). Modulation of hemispatial neglect by directional and numerical cues in the line bisection task. Neuropsychologia, 46, 426–433. doi:10.1016/j.neuropsychologia.2007.08.019
   PubMed Web of Science ®Google Scholar
• Casarotti, M., Lisi, M., Umiltà, C., & Zorzi, M. (2012). Paying attention through eye movements: A computational investigation of the premotor theory of spatial attention. Journal of Cognitive Neuroscience, 24, 1519–1531. doi:10.1162/jocn_a_00231
   PubMed Web of Science ®Google Scholar
• Casarotti, M., Michielin, M., Zorzi, M., & Umiltà, C. (2007). Temporal order judgment reveals how number magnitude affects visuospatial attention. Cognition, 102(1), 101–117. doi:10.1016/j.cognition.2006.09.001
   PubMed Web of Science ®Google Scholar
• Corbetta, M., & Shulman, G. L. (2002). Control of goal-directed and stimulus-driven attention in the brain. Nature Reviews Neuroscience, 3, 201–215. doi:10.1038/nrn755
   PubMed Web of Science ®Google Scholar
• Cousineau, D. (2005). Confidence intervals in within-subject designs: A simpler solution to Loftus and Masson's method. Tutorial in Quantitative Methods for Psychology, 1(1), 42–45.
   Google Scholar
• Cutini, S., Scarpa, F., Scatturin, P., Dell'Acqua, R., & Zorzi, M. (2014). Number-space interactions in the human parietal cortex: Enlightening the SNARC effect with functional near-infrared spectroscopy. Cerebral Cortex, 24, 444–451. doi:10.1093/cercor/bhs321
   PubMed Web of Science ®Google Scholar
• Dehaene, S., Bossini, S., & Giraux, P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology: General, 122, 371–396. doi:10.1037/0096-3445.122.3.371
   Web of Science ®Google Scholar
• de Hevia, M. D., Girelli, L., & Vallar, G. (2006). Numbers and space: A cognitive illusion? Experimental Brain Research, 168, 254–264. doi:10.1007/s00221-005-0084-0
   PubMed Web of Science ®Google Scholar
• Dodd, M. D., Van der Stigchel, S., Adil Leghari, M., 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
• Ferrè, E. R., Vagnoni, E., & Haggard, P. (2013). Galvanic vestibular stimulation influences randomness of number generation. Experimental Brain Research, 224, 233–241. doi:10.1007/s00221-012-3302-6
   PubMed Web of Science ®Google Scholar
• Figliozzi, F., Guariglia, P., Silvetti, M., Siegler, I., & Doricchi, F. (2005). Effects of vestibular rotatory accelerations on covert attentional orienting in vision and touch. Journal of Cognitive Neuroscience, 17, 1638–1651. doi:10.1162/089892905774597272
   PubMed Web of Science ®Google Scholar
• Fischer, M. H. (2001). Number processing induces spatial performance biases. Neurology, 57, 822–826. doi:10.1212/WNL.57.5.822
   PubMed Web of Science ®Google Scholar
• Fischer, M. H., & Brugger, P. (2011). When digits help digits: Spatial-numerical associations point to finger counting as prime example of embodied cognition. Frontiers in Psychology, 2, 260. doi:10.3389/fpsyg.2011.00260
   PubMed 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, 555–556. doi:10.1038/nn1066
   PubMed Web of Science ®Google Scholar
• Fischer, M. H., & Lindemann, O. (2014). Embodiment of human number cognition. Embodied number processing. Journal of Cognitive Psychology. Manuscript submitted for publication.
   Google Scholar
• Fischer, M. H., Warlop, N., Hill, R. L., & Fias, W. (2004). Oculomotor bias induced by number perception. Experimental Psychology, 51, 91–97. doi:10.1027/1618-3169.51.2.91
   PubMed Web of Science ®Google Scholar
• Galfano, G., Rusconi, E., & Umiltà, C. (2006). Number magnitude orients attention, but not against one's will. Psychonomic Bulletin & Review, 13, 869–874. doi:10.3758/BF03194011
   PubMed Web of Science ®Google Scholar
• Ganor-Stern, D., & Goldman, R. (2014). Reaching toward the end: Numerical end and distance effects in motor movements. Embodied number processing. Journal of Cognitive Psychology. Manuscript submitted for publication.
   Google Scholar
• Gianelli, C., Ranzini, M., Marzocchi, M., Rettore Micheli, L., & Borghi, A. M. (2012). Influence of numerical magnitudes on the free choice of an object position. Cognitive Processing, 13, S185–S188. doi:10.1007/s10339-012-0483-7
   Google Scholar
• Göbel, S. M., Calabria, M., Farnè, A., & Rossetti, Y. (2006). Parietal rTMS distorts the mental number line: Simulating ‘spatial’ neglect in healthy subjects. Neuropsychologia, 44, 860–868. doi:10.1016/j.neuropsychologia.2005.09.007
   PubMed Web of Science ®Google Scholar
• Grade, S., Lefèvre, N., & Pesenti, M. (2013). Influence of gaze observation on random number generation. Experimental Psychology, 60, 122–130. doi:10.1027/1618-3169/a000178
   PubMed Web of Science ®Google Scholar
• Halligan, P. W., Fink, G. R., Marshall, J. C., & Vallar, G. (2003). Spatial cognition: Evidence from visual neglect. Trends in Cognitive Sciences, 7, 125–133. doi:10.1016/S1364-6613(03)00032-9
   PubMed Web of Science ®Google Scholar
• Hartmann, M., Farkas, R., & Mast, F. W. (2012). Self-motion perception influences number processing: Evidence from a parity task. Cognitive Processing, 13, 189–192. doi:10.1007/s10339-012-0484-6
   PubMed Web of Science ®Google Scholar
• Hartmann, M., Grabherr, L., & Mast, F. W. (2012). Moving along the mental number line: Interactions between whole-body motion and numerical cognition. Journal of Experimental Psychology: Human Perception and Performance, 38, 1416–1427. doi:10.1037/a0026706
   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, 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, 435–448. doi:10.1038/nrn1684
   PubMed Web of Science ®Google Scholar
• Kerkhoff, G. (2003). Transient modulation and rehabilitation of spatial neglect by sensory stimulation. Progress in Brain Research, 142, 257–271. doi:10.1016/S0079-6123(03)42018-9
   PubMed Web of Science ®Google Scholar
• Kerkhoff, G., Keller, I., Ritter, V., & Marquardt, C. (2006). Repetitive optokinetic stimulation induces lasting recovery from visual neglect. Restorative Neurology and Neuroscience, 24, 357–369.
   PubMed Web of Science ®Google Scholar
• Kerkhoff, G., & Schenk, T. (2012). Rehabilitation of neglect: An update. Neuropsychologia, 50, 1072–1079. doi:10.1016/j.neuropsychologia.2012.01.024
   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, 1583–1585. doi:10.1126/science.1171599
   PubMed Web of Science ®Google Scholar
• Kramer, P., Stoianov, I., Umiltà, C., & Zorzi, M. (2011). Interactions between perceptual and numerical space. Psychonomic Bulletin and Review, 18, 722–728. doi:10.3758/s13423-011-0104-y
   PubMed Web of Science ®Google Scholar
• Loetscher, T., Bockisch, C. J., & Brugger, P. (2008). Looking for the answer: The mind's eye in number space. Neuroscience, 151, 725–729. doi:10.1016/j.neuroscience.2007.07.068
   PubMed Web of Science ®Google Scholar
• Loetscher, T., Bockisch, C. J., Nicholls, M. E. R., & Brugger, P. (2010). Eye position predicts what number you have in mind. Current Biology, 20, R264–R265. doi:10.1016/j.cub.2010.01.015
   PubMed Web of Science ®Google Scholar
• Loetscher, T., & Brugger, P. (2007). Exploring number space by random digit generation. Experimental Brain Research, 180, 655–665. doi:10.1007/s00221-007-0889-0
   PubMed Web of Science ®Google Scholar
• Loetscher, T., Schwarz, U., Schubiger, M., & Brugger, P. (2008). Head turns bias the brain's internal random generator. Current Biology, 18, R60–R62. doi:10.1016/j.cub.2007.11.015
   PubMed Web of Science ®Google Scholar
• Loftus, A. M., Nicholls, M. E. R., Mattingley, J. B., & Bradshaw, J. L. (2008a). Numerical processing overcomes left neglect for the greyscales task. Neuroreport, 19, 835–838. doi:10.1097/WNR.0b013e3282ff0fa8
   PubMed Web of Science ®Google Scholar
• Loftus, A. M., Nicholls, M. E. R., Mattingley, J. B., & Bradshaw, J. L. (2008b). Left to right: Representational biases for numbers and the effect of visuomotor adaptation. Cognition, 107, 1048–1058. doi:10.1016/j.cognition.2007.09.007
   PubMed Web of Science ®Google Scholar
• Masson, N., Pesenti, M., & Dormal, V. (2013). Spatial bias in symbolic and non-symbolic numerical comparison in neglect. Neuropsychologia, 51, 1925–1932. doi:10.1016/j.neuropsychologia.2013.06.004
   PubMed Web of Science ®Google Scholar
• Mesulam, M.-M. (1981). A cortical network for directed attention and unilateral neglect. Annals of Neurology, 10, 309–325. doi:10.1002/ana.410100402
   PubMed Web of Science ®Google Scholar
• Moore, T., Armstrong, K. M., & Fallah, M. (2003). Visuomotor origins of covert spatial attention. Neuron, 40, 671–683. doi:10.1016/S0896-6273(03)00716-5
   PubMed Web of Science ®Google Scholar
• Nicholls, M. E. R., Loftus, A. M., & Gevers, W. (2008). Look, no hands: A perceptual task shows that number magnitude induces shifts of attention. Psychonomic Bulletin & Review, 15, 413–418. doi:10.3758/PBR.15.2.413
   PubMed Web of Science ®Google Scholar
• Pizzamiglio, L., Frasca, R., Guariglia, C., Incoccia, C., & Antonucci, G. (1990). Effect of optokinetic stimulation in patients with visual neglect. Cortex, 26, 535–541. doi:10.1016/S0010-9452(13)80303-6
   PubMed Web of Science ®Google Scholar
• Priftis, K., Pitteri, M., Meneghello, F., Umiltà, C., & Zorzi, M. (2012). Optokinetic stimulation modulates neglect for the number space: Evidence from mental number interval bisection. Frontiers in Human Neuroscience, 6, 23. doi:10.3389/fnhum.2012.00023
   PubMed Web of Science ®Google Scholar
• Priftis, K., Zorzi, M., Meneghello, F., Marenzi, R., & Umiltà, C. (2006). Explicit versus implicit processing of representational space in neglect: Dissociations in accessing the mental number line. Journal of Cognitive Neuroscience, 18, 680–688. doi:10.1162/jocn.2006.18.4.680
   PubMed 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, 2615–2624. doi:10.1016/j.neuropsychologia.2009.05.011
   PubMed Web of Science ®Google Scholar
• Ranzini, M., Lugli, L., Anelli, F., Carbone, R., Nicoletti, R., & Borghi, A. M. (2012). Graspable objects shape number processing. Frontiers in Human Neuroscience, 5, 147. doi:10.3389/fnhum.2011.00147
   Web of Science ®Google Scholar
• Restle, F. (1970). Speed of adding and comparing numbers. Journal of Experimental Psychology, 83, 274–278. doi:10.1037/h0028573
   Google Scholar
• Rizzolatti, G., Riggio, L., Dascola, I., & Umiltá, C. (1987). Reorienting attention across the horizontal and vertical meridians: Evidence in favor of a premotor theory of attention. Neuropsychologia, 25(1), 31–40. doi:10.1016/0028-3932(87)90041-8
   PubMed Web of Science ®Google Scholar
• Rossetti, Y., Jacquin-Courtois, S., Rode, G., Ota, H., Michel, C., & Boisson, D. (2004). Does action make the link between number and space representation? Visuo-manual adaptation improves number bisection in unilateral neglect. Psychological Science, 15, 426–430. doi:10.1111/j.0956-7976.2004.00696.x
   PubMed Web of Science ®Google Scholar
• Rossetti, Y., Rode, G., Pisella, L., Farné, A., Li, L., Boisson, D., & Perenin, M. T. (1998). Prism adaptation to rightward optical deviation rehabilitates left hemispatial neglect. Nature, 395, 166–169. doi:10.1038/25988
   PubMed Web of Science ®Google Scholar
• Rusconi, E., Bueti, D., Walsh, V., & Butterworth, B. (2011). Contribution of frontal cortex to the spatial representation of number. Cortex, 47(1), 2–13. doi:10.1016/j.cortex.2009.08.005
   PubMed Web of Science ®Google Scholar
• Salillas, E., Granà, A., Juncadella, M., Rico, I., & Semenza, C. (2009). Leftward motion restores number space in neglect. Cortex, 45, 730–737. doi:10.1016/j.cortex.2008.09.006
   PubMed Web of Science ®Google Scholar
• Schuller, A.-M., Hoffmann, D., & Schiltz, C. (2014). Shifts of spatial attention cued by irrelevant numbers: Electrophysiological evidence from a color discrimination task. Embodied Number Processing. Journal of Cognitive Psychology. Manuscript submitted for publication.
   Google Scholar
• Schwarz, W., & Keus, I. M. (2004). Moving the eyes along the mental number line: Comparing SNARC effects with saccadic and manual responses. Perception and Psychophysics, 66, 651–664. doi:10.3758/BF03194909
   PubMed Web of Science ®Google Scholar
• Schwarz, W., & Müller, D. (2006). Spatial associations in number-related tasks. Experimental Psychology, 53(1), 4–15. doi:10.1027/1618-3169.53.1.4
   PubMed Web of Science ®Google Scholar
• Shaki, S., & Fischer, M. H. (2008). Reading space into numbers – a cross-linguistic comparison of the SNARC effect. Cognition, 108, 590–599. doi:10.1016/j.cognition.2008.04.001
   PubMed Web of Science ®Google Scholar
• Shaki, S., & Fischer, M. H. (2014). Random walks on the mental number line. Experimental Brain Research, 232(1), 43–49. doi:10.1007/s00221-013-3718-7
   PubMed Web of Science ®Google Scholar
• Shaki, S., Fischer, M. H., & Petrusic, W. M. (2009). Reading habits for both words and numbers contribute to the SNARC effect. Psychonomic Bulletin & Review, 16, 328–331. doi:10.3758/PBR.16.2.328
   PubMed Web of Science ®Google Scholar
• Simon, O., Mangin, J.-F., Cohen, L., Le Bihan, D., & Dehaene, S. (2002). Topographical layout of hand, eye, calculation, and language-related areas in the human parietal lobe. Neuron, 33, 475–487. doi:10.1016/S0896-6273(02)00575-5
   PubMed Web of Science ®Google Scholar
• Stoianov, I., Kramer, P., Umiltà, C., & Zorzi, M. (2008). Visuospatial priming of the mental number line. Cognition, 106, 770–779. doi:10.1016/j.cognition.2007.04.013
   PubMed Web of Science ®Google Scholar
• Umiltà, C., Priftis, K., & Zorzi, M. (2009). The spatial representation of numbers: Evidence from neglect and pseudoneglect. Experimental Brain Research, 192, 561–569. doi:10.1007/s00221-008-1623-2
   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 Dijck, J.-P., Gevers, W., Lafosse, C., & Fias, W. (2012). The heterogeneous nature of number-space interactions. Frontiers in Human Neuroscience, 5, 182. doi:10.3389/fnhum.2011.00182
   PubMed Web of Science ®Google Scholar
• Vuilleumier, P., Ortigue, S., & Brugger, P. (2004). The number space and neglect. Cortex, 40, 399–410. doi:10.1016/S0010-9452(08)70134-5
   PubMed Web of Science ®Google Scholar
• Walsh, V. (2003). A theory of magnitude: Common cortical metrics of time, space and quantity. Trends in Cognitive Sciences, 7, 483–488. doi:10.1016/j.tics.2003.09.002
   PubMed Web of Science ®Google Scholar
• Wasner, M., Moeller, K., Fischer, M. H., & Nuerk, H.-C. (2014). Related but not the same: Ordinality, cardinality and 1-to-1-correspondence in finger-number associations. Embodied number processing. Journal of Cognitive Psychology. Manuscript submitted for publication.
   Google Scholar
• Wood, G., Willmes, K., Nuerk, H.-C., & Fischer, M. H. (2008). On the cognitive link between space and number: A meta-analysis of the SNARC effect. Psychology Science Quarterly, 50, 489–525.
   Google Scholar
• Zorzi, M., Bonato, M., Treccani, B., Scalambrin, G., Marenzi, R., & Priftis, K. (2012). Neglect impairs explicit processing of the mental number line. Frontiers in Human Neuroscience, 6, 125. doi:10.3389/fnhum.2012.00125
   PubMed Web of Science ®Google Scholar
• Zorzi, M., Priftis, K., Meneghello, F., Marenzi, R., & Umiltà, C. (2006). The spatial representation of numerical and non-numerical sequences: Evidence from neglect. Neuropsychologia, 44, 1061–1067. doi:10.1016/j.neuropsychologia.2005.10.025
   PubMed Web of Science ®Google Scholar
• Zorzi, M., Priftis, K., & Umiltà, C. (2002). Brain damage: Neglect disrupts the mental number line. Nature, 417, 138–139. doi:10.1038/417138a
   PubMed Web of Science ®Google Scholar