Skip to main content
Top
Gepubliceerd in: Psychological Research 5/2019

10-08-2017 | Original Article

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

Auteurs: Wenke Möhring, Masami Ishihara, Jacqueline Curiger, Andrea Frick

Gepubliceerd in: Psychological Research | Uitgave 5/2019

Log in om toegang te krijgen
share
DELEN

Deel dit onderdeel of sectie (kopieer de link)

  • Optie A:
    Klik op de rechtermuisknop op de link en selecteer de optie “linkadres kopiëren”
  • Optie B:
    Deel de link per e-mail

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.
Literatuur
go back to reference Bächtold, D., Baumüller, M., & Brugger, P. (1998). Stimulus–response compatibility in representational space. Neuropsychologia, 36, 731–735.CrossRefPubMed Bächtold, D., Baumüller, M., & Brugger, P. (1998). Stimulus–response compatibility in representational space. Neuropsychologia, 36, 731–735.CrossRefPubMed
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
go back to reference Briars, D., & Siegler, R. S. (1984). A featural analysis of preschoolers’ counting knowledge. Developmental Psychology, 20, 607–618.CrossRef Briars, D., & Siegler, R. S. (1984). A featural analysis of preschoolers’ counting knowledge. Developmental Psychology, 20, 607–618.CrossRef
go back to reference Bruner, J. S., Olver, R. O., & Greenfield, P. M. (1966). Studies in cognitive growth. New York: Wiley. Bruner, J. S., Olver, R. O., & Greenfield, P. M. (1966). Studies in cognitive growth. New York: Wiley.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
go back to reference Calabria, M., & Rossetti, Y. (2005). Interference between number processing and line bisection: A methodology. Neuropsychologia, 43, 779–783.CrossRefPubMed Calabria, M., & Rossetti, Y. (2005). Interference between number processing and line bisection: A methodology. Neuropsychologia, 43, 779–783.CrossRefPubMed
go back to reference 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.CrossRefPubMedPubMedCentral 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.CrossRefPubMedPubMedCentral
go back to reference Dehaene, S., Bossini, S., & Giraux, P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology: General, 122, 371.CrossRef Dehaene, S., Bossini, S., & Giraux, P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology: General, 122, 371.CrossRef
go back to reference Ebersbach, M. (2015). Evidence for a spatial–numerical association in kindergartners using a number line task. Journal of Cognition and Development, 16, 118–128.CrossRef Ebersbach, M. (2015). Evidence for a spatial–numerical association in kindergartners using a number line task. Journal of Cognition and Development, 16, 118–128.CrossRef
go back to reference Fias, W. (2001). Two routes for the processing of verbal numbers: Evidence from the SNARC effect. Psychological Research, 65, 250–259.CrossRefPubMed Fias, W. (2001). Two routes for the processing of verbal numbers: Evidence from the SNARC effect. Psychological Research, 65, 250–259.CrossRefPubMed
go back to reference 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.CrossRef 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.CrossRef
go back to reference Fischer, M. H. (2001). Number processing induces spatial performance biases. Neurology, 57, 822–826.CrossRefPubMed Fischer, M. H. (2001). Number processing induces spatial performance biases. Neurology, 57, 822–826.CrossRefPubMed
go back to reference Fischer, M. H., Castel, A. D., Dodd, M. D., & Pratt, J. (2003). Perceiving numbers causes spatial shifts of attention. Nature Neuroscience, 6, 555–556.CrossRefPubMed Fischer, M. H., Castel, A. D., Dodd, M. D., & Pratt, J. (2003). Perceiving numbers causes spatial shifts of attention. Nature Neuroscience, 6, 555–556.CrossRefPubMed
go back to reference Fischer, M. H., & Shaki, S. (2014). Spatial associations in numerical cognition: From single digits to arithmetic. Quarterly Journal of Experimental Psychology, 67, 1461–1483.CrossRef Fischer, M. H., & Shaki, S. (2014). Spatial associations in numerical cognition: From single digits to arithmetic. Quarterly Journal of Experimental Psychology, 67, 1461–1483.CrossRef
go back to reference Fischer, M. H., Shaki, S., & Cruise, A. (2009). It takes just one word to quash a SNARC. Experimental Psychology, 56, 361–366.CrossRefPubMed Fischer, M. H., Shaki, S., & Cruise, A. (2009). It takes just one word to quash a SNARC. Experimental Psychology, 56, 361–366.CrossRefPubMed
go back to reference Galfano, G., Rusconi, E., & Umiltà, C. (2006). Number magnitude orients attention, but not against one’s will. Psychonomic Bulletin and Review, 13, 869–874.CrossRefPubMed Galfano, G., Rusconi, E., & Umiltà, C. (2006). Number magnitude orients attention, but not against one’s will. Psychonomic Bulletin and Review, 13, 869–874.CrossRefPubMed
go back to reference 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.PubMed 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.PubMed
go back to reference 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.CrossRef 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.CrossRef
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
go back to reference Hubbard, E. M., Piazza, M., Pinel, P., & Dehaene, S. (2005). Interactions between number and space in parietal cortex. Nature Reviews Neuroscience, 6, 435–448.CrossRefPubMed Hubbard, E. M., Piazza, M., Pinel, P., & Dehaene, S. (2005). Interactions between number and space in parietal cortex. Nature Reviews Neuroscience, 6, 435–448.CrossRefPubMed
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
go back to reference Knudsen, B., Fischer, M. H., & Aschersleben, G. (2015). Development of spatial preferences for counting and picture naming. Psychological Research, 79, 939–949.CrossRefPubMed Knudsen, B., Fischer, M. H., & Aschersleben, G. (2015). Development of spatial preferences for counting and picture naming. Psychological Research, 79, 939–949.CrossRefPubMed
go back to reference Kosslyn, S. M. (1978). The representational-development hypothesis. In P. A. Ornstein (Ed.), Memory development in children (pp. 157–189). Hillsdale, NJ: Erlbaum. Kosslyn, S. M. (1978). The representational-development hypothesis. In P. A. Ornstein (Ed.), Memory development in children (pp. 157–189). Hillsdale, NJ: Erlbaum.
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
go back to reference 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.CrossRefPubMedPubMedCentral 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.CrossRefPubMedPubMedCentral
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
go back to reference Patro, K., & Haman, M. (2012). The spatial–numerical congruity effect in preschoolers. Journal of Experimental Child Psychology, 111, 534–542.CrossRefPubMed Patro, K., & Haman, M. (2012). The spatial–numerical congruity effect in preschoolers. Journal of Experimental Child Psychology, 111, 534–542.CrossRefPubMed
go back to reference 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). 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).
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
go back to reference Ristic, J., Wright, A., & Kingstone, A. (2006). The number line reflects top-down control. Psychonomic Bulletin and Review, 13, 862–868.CrossRefPubMed Ristic, J., Wright, A., & Kingstone, A. (2006). The number line reflects top-down control. Psychonomic Bulletin and Review, 13, 862–868.CrossRefPubMed
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
go back to reference Shaki, S., & Fischer, M. H. (2008). Reading space into numbers—a cross-linguistic comparison of the SNARC effect. Cognition, 108, 590–599.CrossRefPubMed Shaki, S., & Fischer, M. H. (2008). Reading space into numbers—a cross-linguistic comparison of the SNARC effect. Cognition, 108, 590–599.CrossRefPubMed
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
go back to reference 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.CrossRefPubMed 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.CrossRefPubMed
go back to reference Walsh, V. (2003). A theory of magnitude: Common cortical metrics of time, space, and quantity. Trends in Cognitive Sciences, 7, 483–488.CrossRefPubMed Walsh, V. (2003). A theory of magnitude: Common cortical metrics of time, space, and quantity. Trends in Cognitive Sciences, 7, 483–488.CrossRefPubMed
go back to reference 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. 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.
go back to reference 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.CrossRef 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.CrossRef
Metagegevens
Titel
Spatial–numerical associations in first-graders: evidence from a manual-pointing task
Auteurs
Wenke Möhring
Masami Ishihara
Jacqueline Curiger
Andrea Frick
Publicatiedatum
10-08-2017
Uitgeverij
Springer Berlin Heidelberg
Gepubliceerd in
Psychological Research / Uitgave 5/2019
Print ISSN: 0340-0727
Elektronisch ISSN: 1430-2772
DOI
https://doi.org/10.1007/s00426-017-0904-4

Andere artikelen Uitgave 5/2019

Psychological Research 5/2019 Naar de uitgave