Topics in Cognitive Science 5 (2):317-334 (2013)
AbstractRecent findings indicate that the constituting digits of multi-digit numbers are processed, decomposed into units, tens, and so on, rather than integrated into one entity. This is suggested by interfering effects of unit digit processing on two-digit number comparison. In the present study, we extended the computational model for two-digit number magnitude comparison of Moeller, Huber, Nuerk, and Willmes (2011a) to the case of three-digit number comparison (e.g., 371_826). In a second step, we evaluated how hundred-decade and hundred-unit compatibility effects were moderated by varying the percentage of within-hundred (e.g., 539_582) and within-hundred-and-decade filler items (e.g., 483_489). From the results we predict that numerical distance as well as compatibility effects should indeed be modulated by the relevance of tens and units in three-digit number magnitude comparison: While in particular the hundred distance effect should decrease, we predict hundred-decade and hundred-unit compatibility effects to increase with the relevance of tens and units
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References found in this work
Preverbal and Verbal Counting and Computation.C. R. Gallistel & Rochel Gelman - 1992 - Cognition 44 (1-2):43-74.
Speed of Adding and Comparing Numbers.Frank Restle - 1970 - Journal of Experimental Psychology 83 (2p1):274.
Basic Numerical Skills in Children with Mathematics Learning Disabilities: A Comparison of Symbolic Vs Non-Symbolic Number Magnitude Processing.Laurence Rousselle & Marie-Pascale Noël - 2007 - Cognition 102 (3):361-395.
Decade Breaks in the Mental Number Line? Putting the Tens and Units Back in Different Bins.Hans-Christoph Nuerk, Ulrich Weger & Klaus Willmes - 2001 - Cognition 82 (1):B25-B33.
The Size Congruity Effect: Is Bigger Always More?Seppe Santens & Tom Verguts - 2011 - Cognition 118 (1):94-110.
Citations of this work
Mathematics Anxiety Reduces Default Mode Network Deactivation in Response to Numerical Tasks.Belinda Pletzer, Martin Kronbichler, Hans-Christoph Nuerk & Hubert H. Kerschbaum - 2015 - Frontiers in Human Neuroscience 9.
Relational Priming Based on a Multiplicative Schema for Whole Numbers and Fractions.Melissa DeWolf, Ji Y. Son, Miriam Bassok & Keith J. Holyoak - 2017 - Cognitive Science 41 (8):2053-2088.
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