The influence of the place-value structure of the Arabic number system on two-digit number processing - Representational, developmental, neuropsychological and computational aspects

........................................................................................................................... 43 INTRODUCTION .................................................................................................................. 44 How to observe unit-based null effects in two-digit number comparison ..................... 45 1. Use of small unit distances in the stimulus set ............................................................ 45 2. Use of no or only a few within-decade trials .............................................................. 46 3. Ignore congruity effects in magnitude comparison ..................................................... 46 Objectives ............................................................................................................................ 47 METHOD ................................................................................................................................ 48 Participants ......................................................................................................................... 48

[1]  S. Dehaene,et al.  THREE PARIETAL CIRCUITS FOR NUMBER PROCESSING , 2003, Cognitive neuropsychology.

[2]  S Dehaene,et al.  CALCULATING WITHOUT READING: UNSUSPECTED RESIDUAL ABILITIES IN PURE ALEXIA , 2000, Cognitive neuropsychology.

[3]  Matthias Schlesewsky,et al.  Behavioral and Brain Functions , 2008 .

[4]  M. H. Fischer,et al.  Eye fixation behaviour in the number bisection task: evidence for temporal specificity. , 2009, Acta Psychologica.

[5]  André Vandierendonck,et al.  The role of working memory in the carry operation of mental arithmetic: Number and value of the carry , 2007, Quarterly journal of experimental psychology.

[6]  Daniel Ansari,et al.  Mapping numerical magnitudes onto symbols: the numerical distance effect and individual differences in children's mathematics achievement. , 2009, Journal of experimental child psychology.

[7]  Jian Kong,et al.  The neural substrate of arithmetic operations and procedure complexity. , 2005, Brain research. Cognitive brain research.

[8]  Korbinian Moeller,et al.  Children's early mental number line: logarithmic or decomposed linear? , 2009, Journal of experimental child psychology.

[9]  Stephen Chrisomalis,et al.  A Cognitive Typology for Numerical Notation , 2004 .

[10]  Julie L. Booth,et al.  Numerical magnitude representations influence arithmetic learning. , 2008, Child development.

[11]  Guilherme Wood,et al.  Neural representations of two-digit numbers: A parametric fMRI study , 2006, NeuroImage.

[12]  Korbinian Moeller,et al.  On the language specificity of basic number processing: transcoding in a language with inversion and its relation to working memory capacity. , 2009, Journal of experimental child psychology.

[13]  Silke M. Göbel,et al.  Parietal rTMS distorts the mental number line: Simulating ‘spatial’ neglect in healthy subjects , 2006, Neuropsychologia.

[14]  Klaus Willmes,et al.  Decade breaks in the mental number line? Putting the tens and units back in different bins , 2001, Cognition.

[15]  Marco Zorzi,et al.  The spatial representation of numerical and non-numerical sequences: Evidence from neglect , 2006, Neuropsychologia.

[16]  K. Priftis,et al.  Brain damage: Neglect disrupts the mental number line , 2002, Nature.

[17]  Korbinian Moeller,et al.  Decomposed but Parallel Processing of Two-Digit Numbers in 1st Graders , 2009 .

[18]  Stanislas Dehaene,et al.  Cerebral Pathways for Calculation: Double Dissociation between Rote Verbal and Quantitative Knowledge of Arithmetic , 1997, Cortex.

[19]  A. Karmiloff-Smith Development itself is the key to understanding developmental disorders , 1998, Trends in Cognitive Sciences.

[20]  L. Schauble,et al.  Beyond Modularity: A Developmental Perspective on Cognitive Science. , 1994 .

[21]  S. Dehaene,et al.  Is numerical comparison digital? Analogical and symbolic effects in two-digit number comparison. , 1990, Journal of experimental psychology. Human perception and performance.

[22]  E. Donnemiller,et al.  Number processing in posterior cortical atrophy—A neuropsycholgical case study , 2006, Neuropsychologia.

[23]  M. von Aster,et al.  Number development and developmental dyscalculia , 2007, Developmental medicine and child neurology.

[24]  William P. Banks,et al.  Encoding and Processing of Symbolic Information in Comparative Judgments1 , 1977 .

[25]  Numerical Representation in the Parietal Lobes : , 2009 .

[26]  S. Dehaene,et al.  A Magnitude Code Common to Numerosities and Number Symbols in Human Intraparietal Cortex , 2007, Neuron.

[27]  Yukari Okamoto,et al.  Comparisons of U.S. and Japanese first graders' cognitive representation of number and understanding of place value. , 1989 .

[28]  Klaus Willmes,et al.  Language effects in magnitude comparison: Small, but not irrelevant , 2005, Brain and Language.

[29]  Yukari Okamoto,et al.  Comparisons of Children's Cognitive Representation of Number: China, France, Japan, Korea, Sweden, and the United States , 1994 .

[30]  E. Brannon,et al.  The difficulties of representing continuous extent in infancy: using number is just easier. , 2008, Child development.