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Random walks on the mental number line

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Abstract

The direction of influence between conceptual and motor activation, and its relevance for real-life activities, is still unclear. Here, we use the frequently reported association between small/large numbers and left/right space to investigate this issue during walking. We asked healthy adults to generate random numbers as they made lateral turns and found that (1) lateral turn decisions are predicted by the last few numbers generated prior to turning; (2) the intention to turn left/right makes small/large numbers more accessible; and (3) magnitude but not order of auditorily presented numbers influences the listener’s turn selection. Our findings document a bidirectional influence between conceptual and motor activation and point to a hierarchically organized conceptual–motor activation.

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Notes

  1. Aside from these studies of sensory and motor processes in relation to numerical cognition, there are some studies showing only unilateral spatial biases or spatial biases in the vertical or radial dimensions (e.g., Shaki and Fischer 2012; Gevers et al. 2006), and more recent thoughts about a working memory involvement in SNARC (cf. Van Dijck and Fias 2011). These and other recent studies (e.g., Ferrè et al. 2013; Hartmann et al. 2012; Grade et al. 2013) show that number-space interactions are not necessarily uniform, and that alternative, non-sensory-motoric interpretations of the SNARC effect, such as sequential order in working memory or a polarity correspondence between magnitudes and space, may exist. For a fuller review, please refer to Göbel et al. (2011).

References

  • Badets A, Pesenti M (2010) Creating number semantics through finger movement perception. Cognition 115:46–53

    Article  PubMed  Google Scholar 

  • Badets A, Bouquet CA, Ric F, Pesenti M (2012) Number-generation bias after action observation. Exp Brain Res 221:43–49

    Article  PubMed  Google Scholar 

  • Barsalou LW (2008) Grounded cognition. Ann Rev Psychol 59:617–645

    Article  Google Scholar 

  • Beauchet O, Dubost V, Gonthier R, Kressig RW (2005) Dual-task-related gait changes in transitionally frail older adults: the type of the walking-associated cognitive task matters. Gerontology 51(1):48–52

    Article  PubMed  Google Scholar 

  • Beauchet O, Allali G, Annweiler C, Berrut G, Maarouf N, Herrmann FR, Dubost V (2008) Does change in gait while counting backward predict the occurrence of a first fall in older adults? Gerontology 54(4):217–223

    Article  PubMed  Google Scholar 

  • Broadbent DE (1991) A word before leaving. In: Meyer DE, Kornblum S (eds) Attention and performance XIV. Bradford Books/MIT Press, Cambridge, pp 863–879

    Google Scholar 

  • Brozzoli C, Ishihara M, Goebel SM, Salemme R, Rossetti Y, Farne A (2008) Touch perception reveals the dominance of spatial over digital representation of numbers. Proc Natl Acad Sci USA 105(14):5644–5648

    Article  CAS  PubMed  Google Scholar 

  • Brugger P, Macas E, Ihlemann J (2002) Do sperm cells remember? Behav Brain Res 136:325–328

    Article  PubMed  Google Scholar 

  • Bueti D, Walsh V (2009) The parietal cortex and the representation of time, space, number and other magnitudes. Philos Trans R Soc Lond B Biol Sci 364:1831–1840

    Article  PubMed  Google Scholar 

  • Daar M, Pratt J (2008) Digits affect actions: the SNARC effect and response selection. Cortex 44:400–405

    Article  PubMed  Google Scholar 

  • Dehaene S (1997) The number sense. Basic Books, New York

    Google Scholar 

  • Dehaene S, Bossini S, Giraux P (1993) The mental representation of parity and number magnitude. J Exp Psychol Gen 122:371–396

    Article  Google Scholar 

  • Eerland A, Guadalupe TM, Zwaan RA (2011) Leaning to the left makes the Eiffel Tower seem smaller: posture-modulated estimation. Psychol Sci 22(12):1511–1514

    Article  PubMed  Google Scholar 

  • Ferrè ER, Vagnoni E, Haggard P (2013) Galvanic vestibular stimulation influences randomness of number generation. Exp Brain Res 224(2):233–241

    Article  PubMed  Google Scholar 

  • Fischer MH (2003) Spatial representations in number processing—evidence from a pointing task. Vis Cogn 10:493–508

    Article  Google Scholar 

  • Fischer MH (2012) A hierarchical view of grounded, embodied and situated numerical cognition. Cogn Process 13:S161–S164

    Article  PubMed  Google Scholar 

  • Fischer MH, Brugger P (2011) When digits help digits: spatial-numerical associations point to finger counting as prime example of embodied cognition. Front in Psychol 2:1–7

    Article  Google Scholar 

  • Fischer MH, Dahl C (2007) The time course of visuo-motor affordances. Exp Brain Res 176(3):519–524

    Article  PubMed  Google Scholar 

  • Fischer MH, Zwaan RA (2008) Embodied language: a review of the role of the motor system in language comprehension. Q J Exp Psychol 61(6):825–850

    Article  Google Scholar 

  • Fischer MH, Castel AD, Dodd MD, Pratt J (2003) Perceiving numbers causes spatial shifts of attention. Nat Neurosci 6(6):555–556

    Article  CAS  PubMed  Google Scholar 

  • Fischer MH, Warlop N, Hill RL, Fias W (2004) Oculomotor bias induced by number perception. Exp Psychol 51(2):91–97

    Article  PubMed  Google Scholar 

  • Gevers W, Lammertyn J, Notebaert W, Verguts T, Fias W (2006) Automatic response activation of implicit spatial information: evidence from the SNARC effect. Acta Psychol 122(3):221–233

    Article  Google Scholar 

  • Göbel SM, Shaki S, Fischer MH (2011) The cultural number line: a review of cultural and linguistic influences on the development of number processing. J Cross Cult Psychol 42:543–565

    Article  Google Scholar 

  • Grade S, Lefèvre N, Pesenti M (2013) Influence of gaze observation on random number generation. Exp Psychol 60(2):122–130

    Article  PubMed  Google Scholar 

  • Hartmann M, Grabherr L, Mast FW (2012) Moving along the number line: interactions between whole-body motion and numerical cognition. J Exp Psychol Hum Percept Perform 38:1416–1427

    Article  PubMed  Google Scholar 

  • Imbo I, Vandierendonck A, Fias W (2011) Passive hand movements disrupt adults’ counting strategies. Front Psychol. doi:10.3389/fpsyg.2011.00201

    PubMed Central  PubMed  Google Scholar 

  • Kingstone A, Smilek D, Eastwood JD (2008) Cognitive ethology: a new approach for studying human cognition. Br J Psychol 99:317–340

    Article  PubMed  Google Scholar 

  • Loetscher T, Brugger P (2007) Exploring number space by random digit generation. Exp Brain Res 180(4):655–665

    Article  PubMed  Google Scholar 

  • Loetscher T, Schwarz U, Schubiger M, Brugger P (2008) Head turns bias the brain’s internal random generator. Curr Biol 18:60–62

    Article  Google Scholar 

  • Loetscher T, Bockisch C, Nicholls M, Brugger P (2010) Eye position predicts what number you have in mind. Curr Biol 20:R264–R265

    Article  CAS  PubMed  Google Scholar 

  • Michaux N, Masson N, Pesenti M, Andres M (2012) Selective finger interference with basic arithmetic problem solving. Exp Psychol 21:1–9

    Google Scholar 

  • Mohr C, Brugger P, Bracha HS, Landis T, Viaud-Delmon I (2004) Human side preferences in three different whole-body movement tasks. Behav Brain Res 151:321–326

    Article  CAS  PubMed  Google Scholar 

  • Plaisier MA, Smeets JBJ (2011) Number to finger mapping is topological. Exp Brain Res 209:395–400

    Article  PubMed Central  PubMed  Google Scholar 

  • Pöppel E (1997) A hierarchical model of temporal perception. Trends Cogn Sci 1:56–61

    Article  PubMed  Google Scholar 

  • Pulvermüller F (2005) Brain mechanisms linking language and action. Nat Rev Neurosci 6(7):576–582

    Article  PubMed  Google Scholar 

  • Ranzini M, Lugli L, Anelli F, Carbone R, Nicoletti R, Borghi AM (2011) Graspable objects shape number processing. Front Hum Neurosci 5:147. doi:10.3389/fnhum.2011.00147

    Article  PubMed Central  PubMed  Google Scholar 

  • Rosenbaum DA (1980) Human movement initiation: specification of arm, direction, and extent. J Exp Psychol Gen 109:444–474

    Article  CAS  PubMed  Google Scholar 

  • Rosenbaum DA (2010) Human motor control, 2nd edn. University Press, Oxford

    Google Scholar 

  • Rosenthal R, Rosnow RL (1984) Essentials of behavioral research. McGraw Hill, New York

    Google Scholar 

  • Shaki S, Fischer MH (2012) Multiple spatial mappings in numerical cognition. J Exp Psychol Human 38(3):804–809

    Article  Google Scholar 

  • Souman JL, Frissen I, Sreenivasa MN, Ernst MO (2009) Walking straight into circles. Curr Biol 19:1538–1542

    Article  CAS  PubMed  Google Scholar 

  • Tschentscher N, Fischer MH (2008) Grasp cueing and joint attention. Exp Brain Res 190(4):493–498

    Article  PubMed  Google Scholar 

  • Van Dijck JP, Fias W (2011) A working memory account for spatial-numerical associations. Cognition 119(1):114–119

    Article  PubMed  Google Scholar 

  • Vicario CM (2012) Perceiving numbers affects the internal random movement generator. Sci World J. doi:10.1100/2012/347068

    Google Scholar 

  • Walsh V (2003) A theory of magnitude: common cortical metrics of time, space and quantity. Trends Cogn Sci 7(11):483–488

    Article  PubMed  Google Scholar 

  • Williams LE, Bargh JA (2008) Experiencing physical warmth promotes interpersonal warmth. Science 322:606–607

    Article  CAS  PubMed Central  PubMed  Google Scholar 

  • Wood G, Nuerk HC, Willmes K, Fischer MH (2008) On the cognitive link between space and number: a meta-analysis of the SNARC effect. Psychol Sci Q 50(4):489–525

    Google Scholar 

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Acknowledgments

We thank Anna Vaisertraiger for her help with data collection and several anonymous reviewers for comments that helped to improve this report.

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Correspondence to Samuel Shaki.

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Shaki, S., Fischer, M.H. Random walks on the mental number line. Exp Brain Res 232, 43–49 (2014). https://doi.org/10.1007/s00221-013-3718-7

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