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Psychological Research

, Volume 83, Issue 5, pp 885–893 | Cite as

Spatial–numerical associations in first-graders: evidence from a manual-pointing task

  • Wenke MöhringEmail author
  • Masami Ishihara
  • Jacqueline Curiger
  • Andrea Frick
Original Article

Abstract

The current study investigated whether children’s mental representations of numbers are organized spatially at the onset of formal schooling using a manual-pointing task. First-graders (N = 77) saw four numbers (1, 3, 7, 9) presented randomly in four spatial positions (extreme left, left, right, extreme right) on a touch screen. In a Go/No-Go task, children were asked to press the appearing numbers as fast and accurately as possible, but only when the numbers were “smaller” (or “larger” in a different block) than 5. Results indicated that response times were significantly affected by the spatial position in which the different numbers were presented. Response times for small numbers (1 and 3) increased and response times for large numbers (7 and 9) decreased, the more they were presented towards the right side of the screen. These findings suggested that first-graders spontaneously employed a spatial number representation that was oriented from left to right. Furthermore, this left-to-right organization could not be easily changed by priming a different direction. Our findings indicate that even young children map numbers continuously onto space.

Notes

Compliance with ethical standards

Ethical approval

All procedures performed in the current study involving human participants were in accordance with the ethical standards of the institutional and/or national research committee and with the 1964 Helsinki declaration and its later amendments or comparable ethical standards.

Conflict of interest

The authors declare that they have no conflict of interest.

References

  1. Adachi, I. (2014). Spontaneous spatial mapping of learned sequence in chimpanzees: Evidence for a SNARC-like effect. PLoS One, 9, e90373.CrossRefGoogle Scholar
  2. Bächtold, D., Baumüller, M., & Brugger, P. (1998). Stimulus–response compatibility in representational space. Neuropsychologia, 36, 731–735.CrossRefGoogle Scholar
  3. Berch, D. B., Foley, E. J., Hill, R. J., & Ryan, P. M. (1999). Extracting parity and magnitude from Arabic numerals: Developmental changes in number processing and mental representation. Journal of Experimental Child Psychology, 74, 286–308.CrossRefGoogle Scholar
  4. Briars, D., & Siegler, R. S. (1984). A featural analysis of preschoolers’ counting knowledge. Developmental Psychology, 20, 607–618.CrossRefGoogle Scholar
  5. Bruner, J. S., Olver, R. O., & Greenfield, P. M. (1966). Studies in cognitive growth. New York: Wiley.Google Scholar
  6. Bulf, H., de Hevia, M. D., & Macchi-Cassia, V. (2016). Small on the left, large on the right: Numbers orient preverbal infants’ visual attention onto space. Developmental Science, 19, 394–401.CrossRefGoogle Scholar
  7. Calabria, M., & Rossetti, Y. (2005). Interference between number processing and line bisection: A methodology. Neuropsychologia, 43, 779–783.CrossRefGoogle Scholar
  8. de Hevia, M. D., Girelli, L., Addabbo, M., & Macchi Cassia, V. (2014). Human infants’ preference for left-to-right oriented increasing numerical sequences. PLoS One, 9, e96412.CrossRefGoogle Scholar
  9. Dehaene, S., Bossini, S., & Giraux, P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology: General, 122, 371.CrossRefGoogle Scholar
  10. Drucker, C. B., & Brannon, E. M. (2014). Rhesus monkeys (Macaca mulatta) map number onto space. Cognition, 132, 57–67.CrossRefGoogle Scholar
  11. Ebersbach, M. (2015). Evidence for a spatial–numerical association in kindergartners using a number line task. Journal of Cognition and Development, 16, 118–128.CrossRefGoogle Scholar
  12. Fias, W. (2001). Two routes for the processing of verbal numbers: Evidence from the SNARC effect. Psychological Research, 65, 250–259.CrossRefGoogle Scholar
  13. Fias, W., Brysbaert, M., Geypens, F., & d’Ydewalle, G. (1996). The importance of magnitude information in numerical processing: Evidence from the SNARC effect. Mathematical Cognition, 2, 95–110.CrossRefGoogle Scholar
  14. Fischer, M. H. (2001). Number processing induces spatial performance biases. Neurology, 57, 822–826.CrossRefGoogle Scholar
  15. Fischer, M. H., Castel, A. D., Dodd, M. D., & Pratt, J. (2003). Perceiving numbers causes spatial shifts of attention. Nature Neuroscience, 6, 555–556.CrossRefGoogle Scholar
  16. Fischer, M. H., & Shaki, S. (2014). Spatial associations in numerical cognition: From single digits to arithmetic. Quarterly Journal of Experimental Psychology, 67, 1461–1483.CrossRefGoogle Scholar
  17. Fischer, M. H., Shaki, S., & Cruise, A. (2009). It takes just one word to quash a SNARC. Experimental Psychology, 56, 361–366.CrossRefGoogle Scholar
  18. Galfano, G., Rusconi, E., & Umiltà, C. (2006). Number magnitude orients attention, but not against one’s will. Psychonomic Bulletin and Review, 13, 869–874.CrossRefGoogle Scholar
  19. Gevers, W., Verguts, T., Reynvoet, B., Caessens, B., & Fias, W. (2006). Numbers and space: A computational model of the SNARC effect. Journal of Experimental Psychology: Human Perception and Performance, 32, 32–44.Google Scholar
  20. Göbel, S. M., Shaki, S., & Fischer, M. H. (2011). The cultural number line: a review of cultural and linguistic influences on the development of number processing. Journal of Cross-Cultural Psychology, 42, 543–565.CrossRefGoogle Scholar
  21. Hoffmann, D., Hornung, C., Martin, R., & Schiltz, C. (2013). Developing number–space associations: SNARC effects using a color discrimination task in 5-year-olds. Journal of Experimental Child Psychology, 116, 775–791.CrossRefGoogle Scholar
  22. Hubbard, E. M., Piazza, M., Pinel, P., & Dehaene, S. (2005). Interactions between number and space in parietal cortex. Nature Reviews Neuroscience, 6, 435–448.CrossRefGoogle Scholar
  23. Ishihara, M., Jacquin-Courtois, S., Flory, V., Salemme, R., Imanaka, K., & Rossetti, Y. (2006). Interaction between space and number representations during motor preparation in manual aiming. Neuropsychologia, 44, 1009–1016.CrossRefGoogle Scholar
  24. Kamawar, D., LeFevre, J., Bisanz, J., Fast, L., Skwarchuk, S. L., Smith-Chant, B. L., & Penner-Wilger, M. (2010). Knowledge of counting principles: How relevant is order irrelevance? Journal of Experimental Child Psychology, 105, 138–145.CrossRefGoogle Scholar
  25. Knudsen, B., Fischer, M. H., & Aschersleben, G. (2015). Development of spatial preferences for counting and picture naming. Psychological Research, 79, 939–949.CrossRefGoogle Scholar
  26. Kosslyn, S. M. (1978). The representational-development hypothesis. In P. A. Ornstein (Ed.), Memory development in children (pp. 157–189). Hillsdale, NJ: Erlbaum.Google Scholar
  27. McCrink, K., Caldera, C., & Shaki, S. (2017). The early construction of spatial attention: Culture, space, and gesture in parent–child interactions. Child Development. doi: 10.1111/cdev.12781.Google Scholar
  28. McCrink, K., & Opfer, J. E. (2014). Development of spatial–numerical associations. Current Directions in Psychological Science, 23, 439–445.CrossRefGoogle Scholar
  29. Mills, K. J., Rousseau, B. R., & Gonzalez, C. L. (2014). A cross-sectional developmental examination of the SNARC effect in a visually-guided grasping task. Neuropsychologia, 58, 99–106.CrossRefGoogle Scholar
  30. Nuerk, H.-C., Patro, K., Cress, U., Schild, U., Friedrich, C. K., & Goebel, S. M. (2015). How space-number associations may be created in preliterate children: six distinct mechanisms. Frontiers in Psychology, 6, 215.CrossRefGoogle Scholar
  31. Opfer, J. E., Thompson, C. A., & Furlong, E. E. (2010). Early development of spatial numeric associations: Evidence from spatial and quantitative performance of preschoolers. Developmental Science, 13, 761–771.CrossRefGoogle Scholar
  32. Patro, K., Fischer, U., Nuerk, H.-C., & Cress, U. (2016). How to rapidly construct a spatial–numerical representation in preliterate children (at least temporarily). Developmental Science, 19, 126–144.CrossRefGoogle Scholar
  33. Patro, K., & Haman, M. (2012). The spatial–numerical congruity effect in preschoolers. Journal of Experimental Child Psychology, 111, 534–542.CrossRefGoogle Scholar
  34. Piaget, J., & Inhelder, B. (1956). The child’s conception of space (F. J. Langdon & J. L. Lunzer, Trans.). New York: Norton. (Original work published 1948).Google Scholar
  35. Ranzini, M., Dehaene, S., Piazza, M., & Hubbard, E. (2009). Neural mechanisms of attentional shifts due to irrelevant spatial and numerical cues. Neuropsychologia, 47, 2615–2624.CrossRefGoogle Scholar
  36. Ristic, J., Wright, A., & Kingstone, A. (2006). The number line reflects top-down control. Psychonomic Bulletin and Review, 13, 862–868.CrossRefGoogle Scholar
  37. Rugani, R., Vallortigara, G., Priftis, K., & Regolin, L. (2015). Number-space mapping in the newborn chick resembles humans’ mental number line. Science, 347(6221), 534–536.CrossRefGoogle Scholar
  38. Shaki, S., & Fischer, M. H. (2008). Reading space into numbers—a cross-linguistic comparison of the SNARC effect. Cognition, 108, 590–599.CrossRefGoogle Scholar
  39. Shaki, S., Fischer, M. H., & Petrusic, W. M. (2009). Reading habits for both words and numbers contribute to the SNARC effect. Psychonomic Bulletin and Review, 16, 328–331.CrossRefGoogle Scholar
  40. van Galen, M. S., & Reitsma, P. (2008). Developing access to number magnitude: A study of the SNARC effect in 7-to 9-year-olds. Journal of Experimental Child Psychology, 101, 99–113.CrossRefGoogle Scholar
  41. Walsh, V. (2003). A theory of magnitude: Common cortical metrics of time, space, and quantity. Trends in Cognitive Sciences, 7, 483–488.CrossRefGoogle Scholar
  42. Wood, G., Nuerk, H.-C., Willmes, K., & Fischer, M. H. (2008). On the link between space and number: A meta-analysis of the SNARC effect. Psychology Science, 50, 489–525.Google Scholar
  43. Wynn, K. (1990). Children’s understanding of counting. Cognition, 36, 155–193.CrossRefGoogle Scholar
  44. Zebian, S. (2005). Linkages between number concepts, spatial thinking, and directionality of writing: The SNARC effect and the reverse SNARC effect in English and Arabic monoliterates, biliterates, and illiterate Arabic speakers. Journal of Cognition and Culture, 5, 165–190.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • Wenke Möhring
    • 1
    • 3
    Email author
  • Masami Ishihara
    • 2
  • Jacqueline Curiger
    • 1
  • Andrea Frick
    • 1
  1. 1.Department of PsychologyUniversity of FribourgFribourgSwitzerland
  2. 2.Department of Human SciencesTokyo Metropolitan UniversityTokyoJapan
  3. 3.Department of PsychologyUniversity of BaselBaselSwitzerland

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