Artigo Revisado por pares

On the Perceptual Generality of the Unit-Decade Compatibility Effect

2004; Hogrefe Verlag; Volume: 51; Issue: 1 Linguagem: Inglês

10.1027/1617-3169.51.1.72

ISSN

2190-5142

Autores

Hans‐Christoph Nuerk, Ulrich Weger, Klaus Willmes,

Tópico(s)

Visual perception and processing mechanisms

Resumo

Research ArticlesOn the Perceptual Generality of the Unit-Decade Compatibility EffectHans-Christoph Nuerk, Ulrich Weger, and Klaus WillmesHans-Christoph Nuerk University Hospital of the RWTH Aachen, Neuropsychology Section, Department of Neurology, Germany Search for more papers by this author, Ulrich Weger State University of New York at Binghamton, Department of Psychology, NY, USA Search for more papers by this author, and Klaus Willmes University Hospital of the RWTH Aachen, Neuropsychology Section, Department of Neurology, Germany Search for more papers by this authorPublished Online:September 01, 2006https://doi.org/10.1027/1618-3169.51.1.72PDFView Full Text ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinkedInReddit SectionsMoreAbstractAbstract. Number magnitude is assumed to be holistically represented along a single mental number line. Recently, we have observed a unit-decade-compatibility effect which is inconsistent with that assumption (Nuerk, Weger, & Willmes, 2001). In two-digit Arabic number comparison, we have demonstrated that compatible comparisons in which separate decade and unit comparisons lead to the same decision (32_47, 3 < 4 and 2 < 7) were faster than incompatible trials (37_52, 3 < 5, but 7 > 2). Because overall distance was matched, a holistic model could not account for the compatibility effect. However, one could argue that the compatibility effect was due to the specific vertical perceptual arrangement of the two-digit numbers in Nuerk et al.’s (2001) experiment where the decade digits and unit digits were presented column-wise above each other. To examine this objection, we studied the perceptual generality of the compatibility effect with diagonal presentation. We replicated the compatibility effect with diagonal presentation. It is concluded that the compatibility effect is not due to encoding characteristics imposed by the perceptual setting of the original experiment. In particular, the assumption of an overall analog magnitude representation for two-digit numbers is not consistent with these data.ReferencesBeringer, J.(1993). Handbook for ERTS: Experimental Run Time System. Frankfurt a. M., Germany: BeriSoft Corporation. First citation in articleGoogle ScholarBrysbaert, M.(1995). Arabic number reading: On the nature of the numerical scale and the origin of phonological recoding. Journal of Experimental Psychology: General, 124, 434– 452 First citation in articleCrossref, Google ScholarDehaene, S.(1989). The psychophysics of numerical comparison: a reexamination of apparently incompatible data. Perception and Psychophysics, 45, 557– 566 First citation in articleCrossref Medline, Google ScholarDehaene, S.(1992). Varieties of numerical abilities. Cognition, 44, 1– 42 First citation in articleCrossref Medline, Google ScholarDehaene, S., Dupoux, E., Mehler, J.(1990). Is numerical comparison digital? Analogical and symbolic effects in two- digit number comparison. Journal of Experimental Psychology: Human Perception and Performance, 16, 626– 641 First citation in articleCrossref Medline, Google ScholarKnops, A., Nuerk, H.-C., Willmes, K.(2003). Die semantische Größenrepräsentation: Existieren mehr als nur ein mentaler Zahlenstrahl?. [The semantic magnitude representation: Do more than one mental number line exist?]. In J. Golz, F. Faul, & R. Mausfeld (Eds.). Experimentelle Psychologie: Abstracts der 45. Tagung experimentell arbeitender Psychologen. Pabst Science Publishers: Lengerich, Germany. First citation in articleGoogle ScholarMcCloskey, M.(1992). Cognitive mechanisms in numerical processing: Evidence form acquired dyscalculia. Cognition, 44, 107– 157 First citation in articleCrossref Medline, Google ScholarMoyer, R. S., Landauer, T. K.(1967). Time required for judgements of numerical inequality. Nature, 215, 1519– 1520 First citation in articleCrossref Medline, Google ScholarNuerk, H.-C., Geppert, B. E., van Herten, M., Willmes, K.(2002). On the impact of different number representations in the number bisection task. Cortex, 38, 691– 715 First citation in articleCrossref Medline, Google ScholarNuerk, H.-C., Weger, U., Willmes, K.(2001). Decade breaks in the mental number line? Putting tens and units back into different bins. Cognition, 82, B25– B33 First citation in articleGoogle ScholarNuerk, H.-C., Weger, U., Willmes, K.(2002). A unit-decade-compatibility effect in German number words. Current Psychology Letters: Behavior, Brain & Cognition, 2(7), 19– 38 First citation in articleGoogle ScholarRatinckx, E., Brysbaert, M., Fias, W.(2003). The mental representation of two-digit Arabic numerals examined with masked visual priming: 28 activates {{2} × {10}} + {8} not {2} + {8} in number naming. Presentation on the ESCOP Conference, September 2003, Granada, Spain. First citation in articleGoogle ScholarRestle, F.(1970). Speed of adding and comparing numbers. Journal of Experimental Psychology, 83, 274– 278 First citation in articleCrossref, Google ScholarReynvoet, B., Brysbaert, M.(1999). Single-digit and two-digit Arabic numerals address the same semantic number line. Cognition, 72, 191– 201 First citation in articleCrossref Medline, Google ScholarZhang, J., Norman, D. A.(1995). A representational analysis of numeration systems. Cognition, 57, 271– 295 First citation in articleCrossref Medline, Google ScholarFiguresReferencesRelatedDetailsCited byNumber transcoding in bilinguals—A transversal developmental study29 August 2022 | PLOS ONE, Vol. 17, No. 8The left digit effect in a complex judgment task: Evaluating hypothetical college applicants26 March 2021 | Journal of Behavioral Decision Making, Vol. 35, No. 1The effects of mental abacus expertise on working memory, mental representations and calculation strategies used for two-digit Hindu-Arabic numbers31 March 2022 | Journal of Numerical Cognition, Vol. 8, No. 1Predictors of middle school students’ growth in symbolic number comparison performance31 March 2022 | Journal of Numerical Cognition, Vol. 8, No. 1A meta-analytic synthesis of early numeracy interventions for low-performing young children23 March 2021 | SN Social Sciences, Vol. 1, No. 5The relationship between math anxiety and math achievement in young children is mediated through working memory, not by number sense, and it is not directContemporary Educational Psychology, Vol. 65Eye-movements during number comparison: Associations to sex and sex hormonesPhysiology & Behavior, Vol. 227How do we process prices? 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We would like to thank Stefanie Lemmer and Guillerme Wood for their precious help in the preparation of this article.PDF download

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