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Gepubliceerd in: Psychological Research 1/2020

17-01-2018 | Original Article

Stimulating numbers: signatures of finger counting in numerosity processing

Auteurs: Elena Sixtus, Oliver Lindemann, Martin H. Fischer

Gepubliceerd in: Psychological Research | Uitgave 1/2020

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Abstract

Finger counting is one of the first steps in the development of mature number concepts. With a one-to-one correspondence of fingers to numbers in Western finger counting, fingers hold two numerical meanings: one is based on the number of fingers raised and the second is based on their ordinal position within the habitual finger counting sequence. This study investigated how these two numerical meanings of fingers are intertwined with numerical cognition in adults. Participants received tactile stimulation on their fingertips of one hand and named either the number of fingers stimulated (2, 3, or 4 fingers; Experiment 1) or the number of stimulations on one fingertip (2, 3, or 4 stimulations; Experiment 2). Responses were faster and more accurate when the set of stimulated fingers corresponded to finger counting habits (Experiment 1) and when the number of stimulations matched the ordinal position of the stimulated finger (Experiment 2). These results show that tactile numerosity perception is affected by individual finger counting habits and that those habits give numerical meaning to single fingers.
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Voetnoten
1
All individual stimulation durations range from 47 to 180 ms and all total stimulation durations range from 260 to 640 ms. Although participants might learn that 47 ms could never involve two stimulations, we chose not to use the shortest individual stimulation length for two stimulations, because that would have resulted in a very short (154 ms) total stimulation length which would have given away the numerosity without requiring actually counting the number of individual stimulations. Furthermore, additional analyses showed that there was no training effect selectively for stimulation conditions involving 47 ms-stimulations.
 
2
To keep the size of the model reasonable, only factors of theoretical interest were modeled. For instance, the factor Hand (left/right) was not included. Moreover, including Hand as a fixed factor would not bring about any significant main effects or interactions in the complete models except for a three-way interaction of DC × Hand × NUM in the sequential condition.
 
3
The index finger of the opposite hand was always the responding finger, so one could expect interactions with stimulations to the index finger. We therefore coded a new factor “Response Finger” (i.e., index finger or not) and ran the (generalized) linear mixed models with the fixed factors Congruency, Response Finger, and their interaction and as random factors Subject, Response condition, and Stimulation pattern and with the random slopes determined as described above; there were no random slopes for the RT analysis and by-subject random slopes for Congruency and Response Finger as well as by-pattern random slopes for Congruency for the accuracy analysis. There were no significant interactions between Congruency and Response Finger for RTs or accuracy.
 
Literatuur
go back to reference Baayen, R. H. (2008). Analyzing linguistic data: A practical introduction to statistics. Cambridge: Cambridge University Press.CrossRef Baayen, R. H. (2008). Analyzing linguistic data: A practical introduction to statistics. Cambridge: Cambridge University Press.CrossRef
go back to reference Bender, L. (Producer), & Tarantino, Q. (Director). (2009). Inglorious Basterds [Motion Picture]. United States: Universal Pictures. Bender, L. (Producer), & Tarantino, Q. (Director). (2009). Inglorious Basterds [Motion Picture]. United States: Universal Pictures.
go back to reference Brozzoli, C., Ishihara, M., Göbel, S. M., Salemme, R., Rossetti, Y., & Farnè, A. (2008). Touch perception reveals the dominance of spatial over digital representation of numbers. Proceedings of the National Academy of Sciences of the United States of America, 105(14), 5644–5648.CrossRefPubMedPubMedCentral Brozzoli, C., Ishihara, M., Göbel, S. M., Salemme, R., Rossetti, Y., & Farnè, A. (2008). Touch perception reveals the dominance of spatial over digital representation of numbers. Proceedings of the National Academy of Sciences of the United States of America, 105(14), 5644–5648.CrossRefPubMedPubMedCentral
go back to reference Cousineau, D. (2005). Confidence intervals in within-subject designs: A simpler solution to Loftus and Masson’s method. Tutorials in Quantitative Methods for Psychology, 1(1), 42–45.CrossRef Cousineau, D. (2005). Confidence intervals in within-subject designs: A simpler solution to Loftus and Masson’s method. Tutorials in Quantitative Methods for Psychology, 1(1), 42–45.CrossRef
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(3), 371–396.CrossRef Dehaene, S., Bossini, S., & Giraux, P. (1993). The mental representation of parity and number magnitude. Journal of Experimental Psychology: General, 122(3), 371–396.CrossRef
go back to reference Domahs, F., Kaufmann, L., & Fischer, M. H. (Eds.) (2012). Handy numbers: Finger counting and numerical cognition. Lausanne: Frontiers Media SA. Domahs, F., Kaufmann, L., & Fischer, M. H. (Eds.) (2012). Handy numbers: Finger counting and numerical cognition. Lausanne: Frontiers Media SA.
go back to reference Elbert, T., Pantev, C., Wienbruch, C., Rockstroh, B., & Taub, E. (1995). Increased cortical representation of the fingers of the left hand in string players. Science, 270, 305–307.CrossRefPubMed Elbert, T., Pantev, C., Wienbruch, C., Rockstroh, B., & Taub, E. (1995). Increased cortical representation of the fingers of the left hand in string players. Science, 270, 305–307.CrossRefPubMed
go back to reference Morrissey, K. R., Liu, M., Kang, J., Hallett, D., & Wang, Q. (2016). Cross-cultural and intra-cultural differences in finger-counting habits and number magnitude processing: Embodied numerosity in Canadian and Chinese university students. Journal of Numerical Cognition, 2(1), 1–19. https://doi.org/10.5964/jnc.v2i1.14.CrossRef Morrissey, K. R., Liu, M., Kang, J., Hallett, D., & Wang, Q. (2016). Cross-cultural and intra-cultural differences in finger-counting habits and number magnitude processing: Embodied numerosity in Canadian and Chinese university students. Journal of Numerical Cognition, 2(1), 1–19. https://​doi.​org/​10.​5964/​jnc.​v2i1.​14.CrossRef
go back to reference Moyer, R. S., & Landauer, T. K. (1967). Time required for judgements of numerical inequality. Nature, 215, 1519–1520.CrossRefPubMed Moyer, R. S., & Landauer, T. K. (1967). Time required for judgements of numerical inequality. Nature, 215, 1519–1520.CrossRefPubMed
Metagegevens
Titel
Stimulating numbers: signatures of finger counting in numerosity processing
Auteurs
Elena Sixtus
Oliver Lindemann
Martin H. Fischer
Publicatiedatum
17-01-2018
Uitgeverij
Springer Berlin Heidelberg
Gepubliceerd in
Psychological Research / Uitgave 1/2020
Print ISSN: 0340-0727
Elektronisch ISSN: 1430-2772
DOI
https://doi.org/10.1007/s00426-018-0982-y

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