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Impact of optokinetic stimulation on mental arithmetic

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Abstract

Solving arithmetic problems has been shown to induce shifts of spatial attention, subtraction problems orienting attention to the left side, and addition problems to the right side of space. At the neurofunctional level, the activations elicited by the solving of arithmetical problems resemble those elicited by horizontal eye movements. Whether overt orientation of attention (i.e., eye movements) can be linked to the solving procedure is, however, still under debate. In the present study, we used optokinetic stimulation (OKS) to trigger automatic eye movements to orient participants’ overt attention to the right or to the left of their visual field while they were solving addition or subtraction problems. The results show that, in comparison to leftward OKS and a control condition, rightward OKS facilitates the solving of addition problems that necessitate a carrying procedure. Subtraction solving was unaffected by leftward or rightward OKS. These results converge with previous findings to show that attentional shifts are functionally related to mental arithmetic processing.

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References

  • Anelli, F., Lugli, L., Baroni, G., Borghi, A. M., & Nicoletti, R. (2014). Walking boosts your performance in making additions and subtractions. Frontiers in Psychology,. doi:10.3389/fpsyg.2014.01459.

    PubMed  PubMed Central  Google Scholar 

  • Ashcraft, M. H. (1992). Cognitive arithmetic: A review of data and theory. Cognition, 44, 75–106.

    Article  PubMed  Google Scholar 

  • Berberovic, N., & Mattingley, J. B. (2003). Effects of prismatic adaptation on judgements of spatial extent in peripersonal and extrapersonal space. Neuropsychologia, 41(4), 493–503.

    Article  PubMed  Google Scholar 

  • Binder, J., Marshall, R., Lazar, R., Benjamin, J., & Morh, J. P. (1992). Distinct syndromes of hemineglect. Archives of Neurology, 49(11), 1187–1194.

    Article  PubMed  Google Scholar 

  • Bisiach, E., & Luzzatti, C. (1978). Unilateral neglect of representational space. Cortex, 14(1), 129–133.

    Article  PubMed  Google Scholar 

  • Bisiach, E., Luzzatti, C., & Perani, D. (1979). Unilateral neglect, representational schema and consciousness. Brain, 102(3), 609–618.

    Article  PubMed  Google Scholar 

  • Bonato, M., Priftis, K., Marenzi, R., & Zorzi, M. (2009). Normal and impaired reflexive orienting of attention after central nonpredictive cues. Journal of Cognitive Neuroscience, 21(4), 745–759.

    Article  PubMed  Google Scholar 

  • Bowers, D., & Heilman, K. M. (1980). Pseudoneglect: Effects of hemispace on a tactile line bisection task. Neuropsychologia, 18(4), 491–498.

    Article  PubMed  Google Scholar 

  • Brandt, S. A., & Stark, L. W. (1997). Spontaneous eye movements during visual imagery reflect the content of the visual scene. Journal of Cognitive Neuroscience, 9(1), 27–38.

    Article  PubMed  Google Scholar 

  • Campbell, J. I. D. (2005). Handbook of mathematical cognition. New York: Psychology Press.

    Google Scholar 

  • Campbell, J. I. D. (2008). Subtraction by addition. Memory and Cognition, 36(6), 1094–1102.

    Article  PubMed  Google Scholar 

  • Cappelletti, M., Freeman, E. D., & Cipolotti, L. (2007). The middle house or the middle floor: bisecting horizontal and vertical mental number lines in neglect. Neuropsychologia, 45(13), 2989–3000. doi:10.1016/j.neuropsychologia.2007.05.014.

    Article  PubMed  PubMed Central  Google Scholar 

  • Casarotti, M., Michielin, M., Zorzi, M., & Umiltà, C. (2007). Temporal order judgment reveals how number magnitude affects visuospatial attention. Cognition, 102, 101–117.

    Article  PubMed  Google Scholar 

  • Colent, C., Pisella, L., Bernieri, C., Rode, G., & Rossetti, Y. (2000). Cognitive bias induced by visuo-motor adaptation to prisms: a simulation of unilateral neglect in normal individuals? NeuroReport, 11(9), 1899–1902.

    Article  PubMed  Google Scholar 

  • de Vito, S., Buonocore, A., Bonnefon, J. F., & Della Sala, S. (2014). Eye movements disrupt spatial but not visual mental imagery. Cognitive Processing, 15(4), 543–549.

    Article  PubMed  Google Scholar 

  • Dehaene, S. (1992). Varieties of numerical abilities. Cognition, 4, 1–42.

    Google Scholar 

  • Dormal, V., Schuller, A. M., Nihoul, J., Pesenti, M., & Andres, M. (2014). Causal role of spatial attention in arithmetic problem solving: Evidence from left unilateral neglect. Neuropsychologia, 60, 1–9. doi:10.1016/j.neuropsychologia.2014.05.007.

    Article  PubMed  Google Scholar 

  • Fischer, M. H., Castel, A. D., Dodd, M. D., & Pratt, J. (2003). Perceiving numbers causes shifts of spatial attention. Nature Neuroscience, 6(6), 555–556.

    Article  PubMed  Google Scholar 

  • Fischer, M. H., Warlop, N., Hill, R. L., & Fias, W. (2004). Oculomotor bias induced by number perception. Experimental Psychology, 51(2), 91–97.

    Article  PubMed  Google Scholar 

  • Gallace, A., Auvray, M., & Spence, C. (2007). The modulation of haptic line bisection by a visual illusion and optokinetic stimulation. Perception, 36(7), 1003–1018. doi:10.1068/p5457.

    Article  PubMed  Google Scholar 

  • Geary, D. C., Frensch, P. A., & Wiley, J. G. (1993). Simple and complex mental subtraction: strategy choice and speed-of-processing differences in younger and older adults. Psychology and Aging, 8(2), 242.

    Article  PubMed  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.

    Article  PubMed  Google Scholar 

  • Guariglia, C., Palermo, L., Piccardi, L., Iaria, G., & Incoccia, C. (2013). Neglecting the left side of a city square but not the left side of its clock: prevalence and characteristics of representational neglect. PLoS One, 8(7), e67390.

    Article  PubMed  PubMed Central  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(3), 125–133.

    Article  PubMed  Google Scholar 

  • Hartmann, M. (2015). Numbers in the eye of the beholder: What do eye movements reveal about numerical cognition? Cognitive Processing, 16(1), 245–248.

    Article  PubMed  Google Scholar 

  • Hartmann, M., Mast, F. W., & Fischer, M. H. (2015). Spatial biases during mental arithmetic: evidence from eye movements on blank screen. Frontiers in Psychology, 6, 12. doi:10.3389/fpsyg.2015.00012.

    Article  PubMed  PubMed Central  Google Scholar 

  • Hartmann, M., Mast., F. W., & Fischer, M. H. (2016). Counting is a spatial process: evidence from eye movements. Psychological Research, 80(3), 399–409. doi:10.1007/s00426-015-0722-5.

    Article  PubMed  Google Scholar 

  • Hebb, D. O. (1968). Concerning imagery. Psychological Review, 75(6), 466.

    Article  PubMed  Google Scholar 

  • Hoeckner, S. H., Moeller, K., Zauner, H., Wood, G., Haider, C., Gabner, A., & Nuerk, H. C. (2008). Impairments of the mental line for two-digits numbers in neglect. Cortex, 44(4), 429–438.

    Article  PubMed  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.

    Article  PubMed  Google Scholar 

  • Jewell, G., & McCourt, M. E. (2000). Pseudoneglect: a review and meta-analysis of performance factors in line bisection tasks. Neuropsychologia, 38(1), 93–110.

    Article  PubMed  Google Scholar 

  • Johansson, R., Holsanova, J., & Holmqvist, K. (2006). Pictures and spoken descriptions elicit similar eye movements during mental imagery, both in light and in complete darkness. Cognitive Science, 30(6), 1053–1079.

    Article  PubMed  Google Scholar 

  • Johansson, R., & Johansson, M. (2014). Look here, eye movements play a functional role in memory retrieval. Psychological Science, 25(1), 236–242.

    Article  PubMed  Google Scholar 

  • Kerkhoff, G. (2003). Modulation and rehabilitation of spatial neglect by sensory stimulation. In C. Prablanc, D. Pélisson, & Y. Rossetti (Eds.), Neural control of space coding and action production (pp. 257–271). Amsterdam: Elsevier.

    Chapter  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(4), 357–370.

    PubMed  Google Scholar 

  • Knops, A., Dehaene, S., Berteletti, I., & Zorzi, M. (2014). Can approximate mental calculation account for operational momentum in addition and subtraction? Quarterly Journal of Experimental Psychology, 67(8), 1541–1556.

    Article  Google Scholar 

  • Knops, A., Thirion, B., Hubbard, E. M., Michel, V., & Dehaene, S. (2009a). Recruitment of an area involved in eye movements during mental arithmetic. Science, 324, 1583–1585.

    Article  PubMed  Google Scholar 

  • Knops, A., Viarouge, A., & Dehaene, S. (2009b). Dynamic representations underlying symbolic and nonsymbolic calculation: Evidence from the operational momentum effect. Attention, Perception, and Psychophysics, 71(4), 803–821.

    Article  Google Scholar 

  • Knops, A., Zitzmann, S., & McCrink, K. (2013). Examining the presence and determinants of operational momentum in childhood. Frontiers in Psychology, 4, 325. doi:10.3389/fpsyg.2013.00325..

    Article  PubMed  PubMed Central  Google Scholar 

  • Kramer, P., Stoianov, I., Umiltà, C., & Zorzi, M. (2011). Interactions between perceptual and numerical space. Psychonomic Bulletin and Review, 18(4), 722–728. doi:10.3758/s13423-011-0104-y.

    Article  Google Scholar 

  • Laeng, B., & Teodorescu, D. S. (2002). Eye scanpaths during visual imagery reenact those of perception of the same visual scene. Cognitive Science, 26(2), 207–231.

    Article  Google Scholar 

  • LeFevre, J. A., DeStefano, D., Penner-Wilger, M., & Daley, K. E. (2006). Selection of procedures in mental subtraction. Canadian Journal of Experimental Psychology, 60(3), 209.

    Article  PubMed  Google Scholar 

  • Lindemann, O., & Tira, M. (2011). Operational momentum in numerosity production judgments of multi-digit number problems. Journal of Psychology, 219(1), 50–57.

    Google Scholar 

  • Loetscher, T., Bockisch, C. J., Nicholls, M. E., & Brugger, P. (2010). Eye position predicts what number you have in mind. Current Biology, 20(6), R264–R265.

    Article  PubMed  Google Scholar 

  • Loftus, A. M., Nicholls, M. E. R., Mattingley, J. B., & Bradshaw, J. L. (2008). Left to right: Representational biases for numbers and the effect of visuomotor adaptation. Cognition, 107(3), 1048–1058. doi:10.1016/j.cognition.2007.09.007.

    Article  PubMed  Google Scholar 

  • Lugli, L., Baroni, G., Anelli, F., Borghi, A. M., & Nicoletti, R. (2013). Counting is easier while experiencing a congruent motion. PLoS One, 8(5), e64500.

    Article  PubMed  PubMed Central  Google Scholar 

  • Marghetis, T., Nunez, R., & Bergen, B. (2014). Hand movements during exact arithmetic reveal systematic, dynamic spatial processing. The Quarterly Journal of Experimental Psychology, 67(8), 1579–1596.

    Article  PubMed  Google Scholar 

  • Marshall, J. C., & Halligan, P. W. (1989). When right goes left: an investigation of line bisection in a case of visual neglect. Cortex, 25(3), 503–515.

    Article  PubMed  Google Scholar 

  • Masson, N., & Pesenti, M. (2014). Attentional bias induced by solving simple and complex addition and subtraction problems. The Quarterly Journal of Experimental Psychology, 67(8), 1514–1526.

    Article  PubMed  Google Scholar 

  • Masson, N., & Pesenti, M. (2016). Interference of lateralized distractors on arithmetic problem solving: a functional role for attention shifts in mental calculation. Psychological Research, 80(4), 640–651. doi:10.1007/s00426-015-0668-7.

    Article  PubMed  Google Scholar 

  • Masson, N., Pesenti, M., & Dormal, V. (2013). Spatial bias in symbolic and non-symbolic numerical comparison in neglect. Neuropsychologia, 51(10), 1925–1932. doi:10.1016/j.neuropsychologia.2013.06.004.

    Article  PubMed  Google Scholar 

  • Masson, N., Pesenti, M., & Dormal, V. (2015). Duration and numerical estimation in right brain-damaged patients with and without neglect: Lack of support for a mental time line. British Journal of Psychology. doi:10.1111/bjop.12155.

  • Mathieu, R., Gourjon, A., Couderc, A., Thevenot, C., & Prado, J. (2016). Running the number line: Rapid shifts of attention in single-digit arithmetic. Cognition, 146, 229–239.

    Article  PubMed  Google Scholar 

  • Mattingley, J. B., Bradshaw, J. L., & Bradshaw, J. A. (1994). Horizontal visual motion modulates focal attention in left unilateral spatial neglect. Journal of Neurology, Neurosurgery and Psychiatry, 57(10), 1228–1235.

    Article  PubMed  PubMed Central  Google Scholar 

  • McCrink, K., Dehaene, S., & Dehaene-Lambertz, G. (2007). Moving along the number line: operational momentum in nonsymbolic arithmetic. Perception and Psychophysics, 69(8), 1324–1333.

    Article  PubMed  Google Scholar 

  • McCrink, K., & Wynn, K. (2009). Operational momentum in large number addition and subtraction by 9-month-olds. Journal of Experimental Child Psychology, 103(4), 400–408.

    Article  PubMed  Google Scholar 

  • Michel, C., Pisella, L., Halligan, P. W., Luauté, J., Rode, G., Boisson, D., & Rossetti, Y. (2003). Simulating unilateral neglect in normals using prism adaptation: implications for theory. Neuropsychologia, 41(1), 25–39.

    Article  PubMed  Google Scholar 

  • Myachykov, A., Ellis, R., Cangelosi, A., & Fischer, M. H. (2016). Ocular drift along the mental number line. Psychological Research, 80(3), 379–388. doi:10.1007/s00426-015-0731-4.

    Article  PubMed  PubMed Central  Google Scholar 

  • Nicholls, M. E., Bradshaw, J. L., & Mattingley, J. B. (1999). Free-viewing perceptual asymmetries for the judgement of brightness, numerosity and size. Neuropsychologia, 37(3), 307–314.

    Article  PubMed  Google Scholar 

  • Ogden, J. A. (1985). Anterior-posterior interhemispheric differences in the loci of lesions producing visual hemineglect. Brain and Cognition, 4(1), 59–75.

    Article  PubMed  Google Scholar 

  • Pizzamiglio, L., Frasca, R., Guariglia, C., Incoccia, C., & Antonucci, G. (1990). Effect of optokinetic stimulation in patients with visual neglect. Cortex, 26(4), 535–541.

    Article  PubMed  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.

    Article  PubMed  PubMed Central  Google Scholar 

  • Ranzini, M., Lisi, M., Blini, E., Pitteri, M., Treccani, B., Priftis, K., & Zorzi, M. (2015). Larger, smaller, odd or even? Task-specific effects of optokinetic stimulation on the mental number space. Journal of Cognitive Psychology, 27(4), 459–470.

    Article  Google Scholar 

  • Ranzini, M., Lisi, M., & Zorzi, M. (2016). Voluntary eye movements direct attention on the mental number space. Psychological Research, 80(3), 389–398. doi:10.1007/s00426-015-0741-2.

    Article  PubMed  Google Scholar 

  • Rode, G., Rossetti, Y., & Boisson, D. (2001). Prism adaptation improves representational neglect. Neuropsychologia, 39(11), 1250–1254.

    Article  PubMed  Google Scholar 

  • Ruiz Fernandez, S., Rahona, J. J., Hervas, G., Vazquez, C., & Ulrich, R. (2011). Number magnitude determine gaze direction. Cortex, 47, 617–620.

    Article  PubMed  Google Scholar 

  • Salillas, E., Granà, A., Juncadella, M., Rico, I., & Semenza, C. (2009). Leftward motion restores number space in neglect. Cortex, 45(6), 730–737.

    Article  PubMed  Google Scholar 

  • Salvato, G., Sedda, A., & Bottini, G. (2014). In search of the disappeared half of it: 35 years of studies on representational neglect. Neuropsychology, 28(5), 706.

    Article  PubMed  Google Scholar 

  • Schneider, W., Eschman, A., & Zuccolotto, A. (2002). E-Prime user’s guide. Pittsburgh: Psychology Software Tools, Inc. doi:10.1186/1756-0381-3-1.

    Google Scholar 

  • Stoianov, I., Kramer, P., Umiltà, C., & Zorzi, M. (2008). Visuospatial priming of the mental number line. Cognition, 106(2), 770–779. doi:10.1016/j.cognition.2007.04.013.

    Article  Google Scholar 

  • Stone, S. P., Halligan, P. W., & Greenwood, R. J. (1993). The incidence of neglect phenomena and related disorders in patients with an acute right or left hemisphere stroke. Age and Ageing, 22(1), 46–52. doi:10.1093/ageing/22.1.46.

    Article  PubMed  Google Scholar 

  • Thimm, M., Fink, G. R., Küst, J., Karbe, H., Willmes, K., & Sturm, W. (2009). Recovery from hemineglect: differential neurobiological effects of optokinetic stimulation and alertness training. Cortex, 45(7), 850–862.

    Article  PubMed  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  PubMed Central  Google Scholar 

  • Vuilleumier, P., Ortigue, S., & Brugger, P. (2004). The number space and neglect. Cortex, 40(2), 399–410. doi:10.1016/S0010-9452(08)70134-5.

    Article  PubMed  Google Scholar 

  • Werner, K., & Raab, M. (2014). Moving your eyes to solution: Effects of movement on the perception of problem-solving task. The Quarterly Journal of Experimental Psychology, 67(8), 1571–1578.

    Article  PubMed  Google Scholar 

  • Wiemers, M., Bekkering, H., & Lindemann, O. (2014). Spatial interferences in mental arithmetic: Evidence from the motion-arithmetic compatibility effect. The Quarterly Journal of Experimental Psychology, 67(8), 1557–1570.

    Article  PubMed  Google Scholar 

  • Yu, X., Liu, J., Li, D., Liu, H., Cui, J., & Zhou, X. (2016). Dynamic mental number line in simple arithmetic. Psychological Research, 80(3), 410–421. doi:10.1007/s00426-015-0730-5.

    Article  PubMed  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.

    Article  PubMed  PubMed Central  Google Scholar 

  • Zorzi, M., Priftis, K., & Umiltà, C. (2002). Brain damage: Neglect disrupts the mental number line. Nature, 417(6885), 138–139. doi:10.1038/417138a.

    Article  PubMed  Google Scholar 

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Acknowledgments

We thank Laurie Geers and Madeline Slÿpen for their help in data collection.

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  1. Institut de Recherche en Sciences Psychologiques and Institute of Neuroscience, Université catholique de Louvain, Place Cardinal Mercier, 10, 1348, Louvain-la-Neuve, Belgium

    Nicolas Masson, Mauro Pesenti & Valérie Dormal

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  1. Nicolas Masson
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Correspondence to Nicolas Masson or Mauro Pesenti.

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Masson, N., Pesenti, M. & Dormal, V. Impact of optokinetic stimulation on mental arithmetic. Psychological Research 81, 840–849 (2017). https://doi.org/10.1007/s00426-016-0784-z

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