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22-02-2016 | Original Article

Operational momentum and size ordering in preverbal infants

Auteurs: Viola Macchi Cassia, Koleen McCrink, Maria Dolores de Hevia, Valeria Gariboldi, Hermann Bulf

Gepubliceerd in: Psychological Research | Uitgave 3/2016

Abstract

Recent evidence has shown that, like adults and children, 9-month-old infants manifest an operational momentum (OM) effect during non-symbolic arithmetic, whereby they overestimate the outcomes to addition problems, and underestimate the outcomes to subtraction problems. Here we provide the first evidence that OM occurs for transformations of non-numerical magnitudes (i.e., spatial extent) during ordering operations. Twelve-month-old infants were tested in an ordinal task in which they detected and represented ascension or descension in physical size, and then responded to ordinal sequences that exhibited greater or lesser sizes. Infants displayed longer looking time to the size change whose direction violated the operational momentum experienced during habituation (i.e., the smaller sequence in the ascension condition and the larger sequence in the descension condition). The presence of momentum for ordering size during infancy suggests that continuous quantities are represented spatially during the first year of life.

vorige artikel Insights into numerical cognition: considering eye-fixations in number processing and arithmetic

volgende artikel Number line estimation strategies in children with mathematical learning difficulties measured by eye tracking

Boroditsky, L., Fuhrman, O., & McCormick, K. (2011). Do English and Mandarin speakers think about time differently? Cognition, 118, 123–129. doi: 10.1016/j.cognition.2010.09.010. CrossRefPubMed

Brannon, E. M. (2002). The development of ordinal numerical knowledge in infancy. Cognition, 83, 223–240. doi: 10.1016/S0010-0277(02)00005-7. CrossRefPubMed

Bulf, H., de Hevia, M. D., & Macchi Cassia, V. (2014). Are numbers, size and brightness equally efficient in orienting visual attention? Evidence from an eye-tracking study. PLoS One, 9, e99499. doi: 10.1371/journal.pone.0099499. CrossRefPubMedPubMedCentral

Bulf, H., de Hevia, M. D., & Macchi Cassia, V. (2015a). Small on the left, large on the right: numbers orient visual attention onto space in preverbal infants. Developmental Science,. doi: 10.1111/desc.12315. PubMed

Bulf, H., Gariboldi, V., de Hevia, M. D., & Macchi Cassia, V. (2015b). Left-to-right spatial orientation facilitates learning of abstract rules in 7-month-old infants. Poster presented at the Budapest CEU Conference on Cognitive Development. Budapest, January.

Casasanto, D. (2010). Space for Thinking. In V. Evans & P. Chilton (Eds.), Language, cognition, and space: state of the art and new directions (pp. 453–478). London: Equinox Publishing.

de Hevia, M. D., Girelli, L., Addabbo, M., & Macchi Cassia, V. (2014a). Human infants’ preference for left-to-right oriented increasing numerical sequences. PLoS One, 9, e96412. doi: 10.1371/journal.pone.0096412. CrossRefPubMedPubMedCentral

de Hevia, M. D., Girelli, L., & Macchi Cassia, V. M. (2012). Minds without language represent number through space: origins of the mental number line. Frontiers in Psychology, 3, 466. doi: 10.3389/fpsyg.2012.00466. CrossRefPubMedPubMedCentral

de Hevia, M. D., Izard, V., Coubart, A., Spelke, E. S., & Streri, A. (2014b). Representations of space, time and number in neonates. Proceedings of the National Academy of Sciences USA, 111, 4809–4813. doi: 10.1073/pnas.1323628111. CrossRef

de Hevia, M. D., & Spelke, E. S. (2010). Number-space mapping in human infants. Psychological Science, 21, 653–660. doi: 10.1177/0956797610366091. CrossRefPubMedPubMedCentral

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. CrossRef

Fedden, S., & Boroditsky, L. (2012). Spatialization of time in Mian. Frontiers in Psychology, 3, 485. doi: 10.3389/fpsyg.2012.00485. CrossRefPubMedPubMedCentral

Feigenson, L. (2007). The equality of quantity. Trends in Cognitive Sciences, 11, 185–187. doi: 10.1016/j.tics.2007.01.006. 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. doi: 10.1038/nn1066. CrossRefPubMed

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. CrossRefPubMed

Freyd, J. J. (1987). Dynamic mental representation. Psychological Review, 94, 427–438. doi: 10.1037/0033-295X.94.4.427. CrossRefPubMed

Freyd, J. J., & Finke, R. A. (1984). Representational momentum. Journal of Experimental Psychology. Learning, Memory, and Cognition, 10, 126–132. CrossRef

Gevers, W., Reynvoet, B., & Fias, W. (2003). The mental representation of ordinal sequences is spatially organized. Cognition, 87, B87–B95. doi: 10.1016/S0010-0277(02)00234-2. CrossRefPubMed

Goebel, S. M., Shaki, S., & Fischer, M. H. (2011). Cultural effects on the mental number line. Journal of Cross-Cultural Psychology, 42, 541–542. doi: 10.1177/0022022111406251. CrossRef

Hartmann, M., Mast, F. W., & Fischer, M. H. (2015). Counting is a spatial process: Evidence from eye movements. Psychological Research. doi: 10.1007/s00426-015-0722-5. PubMed

Hubbard, T. L. (2005). Representational momentum and related displacements in spatial memory: a review of the findings. Psychonomic Bulletin & Review, 12, 822–851. doi: 10.3758/BF03196775. CrossRef

Hubbard, T. L. (2014). Forms of momentum across space: representational, operational, and attentional. Psychonomic Bulletin Review, 1, 1371–1403. doi: 10.3758/s13423-014-0624-3. CrossRef

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. CrossRefPubMed

Katz, C., & Knops, A. (2014). Operational momentum in approximate multiplication and division? PLoS One, 9, e104777. doi: 10.1371/journal.pone.0104777. CrossRefPubMedPubMedCentral

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. doi: 10.1126/science.1171599. CrossRefPubMed

Knops, A., Viarouge, A., & Dehaene, S. (2009b). Dynamic representations underlying symbolic and nonsymbolic calculation: evidence from the operational momentum effect. Attention, Perception, & Psychophysics, 71, 803–821. doi: 10.3758/APP.71.4.803. CrossRef

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. CrossRefPubMedPubMedCentral

Lourenco, S. F., & Longo, M. R. (2010). General magnitude representation in human infants. Psychological Science, 21, 873–881. doi: 10.1177/0956797610370158. CrossRefPubMedPubMedCentral

Macchi Cassia, V., de Hevia, M. D., Picozzi, M., & Girelli, L. (2012). Increasing magnitude counts more: asymmetrical processing of ordinality in 4-month-old infants. Cognition, 124, 183–193. doi: 10.1016/j.cognition.2012.05.004. CrossRefPubMed

McCrink, K., Dehaene, S., & Dehaene-Lambertz, G. (2007). Moving along the number line: the case for operational momentum. Perception and Psychophysics, 69, 1324–1333. CrossRefPubMed

McCrink, K., & Opfer, J. E. (2014). Development of spatial-numerical associations. Current Directions in Psychological Science, 23, 439–445. doi: 10.1177/0963721414549751. CrossRefPubMedPubMedCentral

McCrink, K., & Wynn, K. (2009). Operational momentum in large-number addition and subtraction by 9-month-olds. Journal of Experimental Child Psychology, 103, 400–408. doi: 10.1016/j.jecp.2009.01.013. CrossRefPubMed

Mock, J., Huber, S., Klein, E., & Moeller, K. (2016). Insights into numerical cognition—considering eye-fixations in number processing and arithmetic. Psychological Research. doi: 10.1007/s00426-015-0739-9. PubMed

Moyer, R. S., & Landauer, T. K. (1967). Time required for judgement of inequality. Nature, 215, 1519–1520. doi: 10.1038/2151519a0. CrossRefPubMed

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

Nuerk, H. C., Patro, K., Cress, U., Schild, U., Friedrich, C. K., & Göbel, S. M. (2015). How space-number associations may be created in preliterate children: six distinct mechanisms. Frontiers in Psychology, 6, 215. doi: 10.3389/fpsyg.2015.00215. CrossRefPubMedPubMedCentral

Opfer, J. E., Thompson, C. A., & Furlong, J. E. (2010). Early development of spatial-numeric associations: evidence from spatial and quantitative performance of preschoolers. Developmental Science, 13, 761–771. doi: 10.1111/j.1467-7687.2009.00934.x. CrossRefPubMed

Pinel, P., Piazza, M., Le Bihan, D., & Dehaene, S. (2004). Distributed and overlapping cerebral representations of number, size, and luminance during comparative judgments. Neuron, 41, 983–993. CrossRefPubMed

Pinhas, M., & Fischer, M. (2008). Mental movements with magnitude? A study of spatial biases in symbolic arithmetic. Cognition, 109, 408–415. doi: 10.1016/j.cognition.2008.09.003. CrossRefPubMed

Previtali, P., de Hevia, M. D., & Girelli, L. (2010). Placing order in space: the SNARC effect in serial learning. Experimental Brain Research, 201, 599–605. doi: 10.1007/s00221-009-2063-3. CrossRefPubMed

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

Rao, H., Han, S., Jiang, Y., Xue, Y., Gu, H., Cui, Y., & Gao, D. (2004). Engagement of the prefrontal cortex in representational momentum: an fMRI study. NeuroImage, 23, 98–103. doi: 10.1016/j.neuroimage.2004.05.016. CrossRefPubMed

Ren, P., Nicholls, M. E. R., Ma, Y., & Chen, L. (2011). Size matters: non-numerical magnitude affects the spatial coding of response. PLoS One, 6, e23553. doi: 10.1371/journal.pone.0023553. CrossRefPubMedPubMedCentral

Rusconi, E., Kwan, B., Giordano, B., Umiltà, C., & Butterworth, B. (2006). Spatial representation of pitch height: the SMARC effect. Cognition, 99, 113–129. doi: 10.1016/j.cognition.2005.01.004. CrossRefPubMed

Srinivasan, M., & Carey, S. (2010). The long and the short of it: on the nature and origin of functional overlap between representations of space and time. Cognition, 116, 217–241. doi: 10.1016/j.cognition.2010.05.005. CrossRefPubMedPubMedCentral

Vallesi, A., Binns, M. A., & Shallice, T. (2008). An effect of spatial–temporal association of response codes: understanding the cognitive representations of time. Cognition, 107, 501–527. doi: 10.1016/j.cognition.2007.10.011. CrossRefPubMed

Van Opstal, F., Fias, W., Peigneux, P., & Verguts, T. (2009). The neural representation of extensively trained sequences. NeuroImage, 47, 367–375. doi: 10.1016/j.neuroimage.2009.04.035. CrossRefPubMed

Walsh, V. A. (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. CrossRefPubMed

Wynn, K. (1992). Addition and subtraction by human infants. Nature, 358, 749–750. doi: 10.1038/358749a0. CrossRefPubMed

Yu, X., Liu, J., Li, D., Liu, H., Cui, J., & Zhou, X. (2015). Dynamic mental number line in simple arithmetic. Psychological Research. doi: 10.1007/s00426-015-0730-5. PubMed

Zebian, S. (2005). Linkages between number concepts, spatial thinking and directionality of writing: the SNARC effect and the REVERSE SNARC effect in English and in Arabic monoliterates, biliterates and illiterate Arabic speakers. Journal of Cognition and Culture, 5, 165–190. CrossRef

Titel: Operational momentum and size ordering in preverbal infants
Auteurs: Viola Macchi Cassia
Koleen McCrink
Maria Dolores de Hevia
Valeria Gariboldi
Hermann Bulf
Publicatiedatum: 22-02-2016
Uitgeverij: Springer Berlin Heidelberg
Gepubliceerd in: Psychological Research / Uitgave 3/2016
Print ISSN: 0340-0727
Elektronisch ISSN: 1430-2772
DOI: https://doi.org/10.1007/s00426-016-0750-9

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