Two Attributes of Number Meaning
Numerical Associations With Visual Space and Size Exist in Parallel
Abstract
Abstract. Many studies demonstrated interactions between number processing and either spatial codes (effects of spatial-numerical associations) or visual size-related codes (size-congruity effect). However, the interrelatedness of these two number couplings is still unclear. The present study examines the simultaneous occurrence of space- and size-numerical congruency effects and their interactions both within and across trials. In a magnitude judgment task physically small or large digits were presented left or right from screen center. The reaction times analysis revealed that space- and size-congruency effects coexisted in parallel and combined additively. Moreover, a selective sequential modulation of the two congruency effects was found. The size-congruency effect was reduced after size incongruent trials. The space-congruency effect, however, was only affected by the previous space congruency. The observed independence of spatial-numerical and within-magnitude associations is interpreted as evidence that the two couplings reflect different attributes of numerical meaning possibly related to ordinality and cardinality.
References
2008). Mixed-effects modeling with crossed random effects for subjects and items. Journal of Memory and Language, 59(4), 390–412. doi: 10.1016/j.jml.2007.12.005
(2013). Random effects structure for confirmatory hypothesis testing: Keep it maximal. Journal of Memory and Language, 68, 255–278. doi: 10.1016/j.jml.2012.11.001
(2015). Parsimonious mixed models. Retrieved from https://arxiv.org/abs/1506.04967
(2015). Fitting linear mixed-effects models using lme4. Journal of Statistical Software, 67, 1–48. doi: 10.18637/jss.v067.i01
(2007). The brain locus of interaction between number and size: A combined functional magnetic resonance imaging and event-related potential study. Journal of Cognitive Neuroscience, 19, 957–970. doi: 10.1162/jocn.2007.19.6.957
(2009). Origins of mathematical intuitions. Annals of the New York Academy of Sciences, 1156, 232–259. doi: 10.1111/j.1749-6632.2009.04469.x
(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
(Dehaene S.Brannon E. M. (Eds.). (2011). Space, time and number in the brain: Searching for evolutionary foundations of mathematical thought. New York, NY: Elsevier.
2008). Multiple conflict-driven control mechanisms in the human brain. Trends in Cognitive Sciences, 12, 374–380. doi: 10.1016/j.tics.2008.07.001
(2016). On the instability and constraints of the interaction between number representation and spatial attention in healthy humans. Progress in Brain Research, 227, 223–256. doi: 10.1016/bs.pbr.2016.04.023
(2005).
(Spatial Representation of Numbers . In J. I. D. CampbellEd., Handbook of Mathematical Cognition (pp. 43–54). Hove, UK: Psychology Press.2003). Perceiving numbers causes spatial shifts of attention. Nature Neuroscience, 6, 555–556. doi: 10.1038/nn1066
(2005). Towards a common processing architecture underlying Simon and SNARC effects. European Journal of Cognitive Psychology, 17, 659–673. doi: 10.1080/09541440540000112
(2003). The mental representation of ordinal sequences is spatially organized. Cognition, 87, 87–95. doi: 10.1016/S0010-0277(02)00234-2
(2000). The development of automaticity in accessing numerical magnitude. Journal of Experimental Child Psychology, 76, 104–122. doi: 10.1006/jecp.2000.2564
(1992). Optimizing the use of information: Strategic control of activation of responses. Journal of Experimental Psychology: General, 121, 480–506. doi: 10.1037/0096-3445.121.4.480
(1982). Is three greater than five: The relation between physical and semantic size in numerical comparison. Memory & Cognition, 10, 389–395.
(1997). Interactions between stimulus-stimulus congruence and stimulus-response compatibility. Psychological Research, 59, 248–260. doi: 10.1007/BF00439302
(2005). Interactions between number and space in parietal cortex. Nature Reviews Neuroscience, 6, 435–448. doi: 10.1038/nrn1684
(1990). Dimensional overlap: Cognitive basis for stimulus-response compatibility – A model and taxonomy. Psychological Review, 9, 253–270. doi: 10.1037/0033-295X.97.2.253
(2017). Interaction between numbers and size during visual search. Psychological Research, 81(3), 664–677. doi: 10.1007/s00426-016-0771-4
(2014). Different brains process numbers differently: Structural basis of individual differences in spatial and non-spatial number representations. Journal of Cognitive Neuroscience, 26, 768–776. doi: 10.1162/jocn_a_00518
(2016). lmertest: Tests in linear mixed effects models. Retrieved from https://CRAN.R-project.org/package=lmerTest
(2007). Getting a grip on numbers: Numerical magnitude priming in object grasping. Journal of Experimental Psychology: Human Perception and Performance, 33, 1400–1409. doi: 10.1037/0096-1523.33.6.1400
(2015). Editorial: Embodied number processing. Journal of Cognitive Psychology, 27, 381–387. doi: 10.1080/20445911.2015.1032295
(1990). Regression analyses of repeated measures data in cognitive research. Journal of Experimental Psychology: Learning, Memory, and Cognition, 16, 149–157. doi: 10.1037/0278-7393.16.1.149
(1995). The influence of irrelevant location information on performance: A review of the Simon and spatial Stroop effects. Psychonomic Bulletin & Review, 2, 174–207. doi: 10.3758/BF03210959
(2003). The SNARC effect: An instance of the Simon effect? Cognition, 88, B1–B10. doi: 10.1016/S0010-0277(03)00042-8
(2008). Confidence intervals from normalized data: A correction to Cousineau (2005). Tutorial in Quantitative Methods for Psychology, 4, 61–64. doi: 10.20982/tqmp.04.2.p061
(1967). Time required for judgements of numerical inequality. Nature, 215, 1519–1520. doi: 10.1038/2151519a0
(2008). Cognitive control acts locally. Cognition, 106, 1071–1080. doi: 10.1016/j.cognition.2007.04.011
(2013). SNARC struggles: Instant control over spatial-numerical associations. Journal of Experimental Psychology: Learning, Memory, and Cognition, 39, 1953–1958. doi: 10.1037/a0032991
(2016). Counteracting Implicit Conflicts by Electrical Inhibition of the Prefrontal Cortex. Journal of Cognitive Neuroscience, 28(11), 1737–1748. doi: 10.1162/jocn_a_01001
(1998). On the interaction of numerical and size information in digit comparison: A behavioral and event-related potential study. Neuropsychologia, 36, 1167–1179. doi: 10.1016/S0028-3932(98)00001-3
(1969). The discovery of processing stages: Extension of Donders’ method. Acta Psychologica, 30, 276–315.
(1957). Ratio scales and category scales for a dozen perceptual continua. Journal of Experimental Psychology, 54, 377–411.
(2008). Visuospatial priming of the mental number line. Cognition, 106(2), 770–779. doi: 10.1016/j.cognition.2007.04.013
(2002). Control over location-based priming in the Simon task: Behavioral and electrophysiological evidence. Journal of Experimental Psychology: Human Perception and Performance, 28, 1345–1363. doi: 10.1037/0096-1523.28.6.1345
(2007). Event-related potentials dissociate facilitation and interference effects in the numerical Stroop paradigm. Neuropsychologia, 45, 3190–3202. doi: 10.1016/j.neuropsychologia.2007.06.013
(2009). The spatial representation of numbers: Evidence from neglect and pseudoneglect. Experimental Brain Research, 192, 561–569. doi: 10.1007/s00221-008-1623-2
(2011). A working memory account of spatial-numerical associations. Cognition, 119, 114–115. doi: 10.1016/j.cognition.2010.12.013
(2003). A theory of magnitude: Common cortical metrics for time, space and quantity. Trends in Cognitive Sciences, 7, 483–488. doi: 10.1016/j.tics.2003.09.002
(2015). SNARC meets SPARC in fMRI – Interdependence of compatibility effects depends on semantic content. Neuropsychologia, 77, 331–338. doi: 10.1016/j.neuropsychologia.2015.09.018
(