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The influence of the place-value structure of the Arabic number ...

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argument is corroborated by <strong>the</strong> important results <strong>of</strong> Miura and colleagues (1994) who<br />

consistently found that Asian children (i.e., Chinese, Japanese, and Korean) experiencing a<br />

totally regular and transparent <strong>number</strong> word system (42 four ten two) outperformed <strong>the</strong>ir<br />

western counterparts (i.e., France, Sweden, and <strong>the</strong> U.S.) in recoding given <strong>number</strong>s into nonsymbolic<br />

sets <strong>of</strong> tens and units blocks (see also Miura & Okamoto, 1989; Miura, 1987). In<br />

this vein, <strong>the</strong> verbal <strong>number</strong> word system in most western languages is much more complex<br />

than <strong>the</strong> symbolic <strong>Arabic</strong> <strong>number</strong> system as it is organised by different classes <strong>of</strong> <strong>number</strong><br />

words: (i) units (0 to 9), (ii) decades (10, 20, etc.), (iii) teens (13, 14, etc.), (iv) hundreds,<br />

thousands, etc. For <strong>the</strong> verbalization <strong>of</strong> multi-digit <strong>number</strong>s <strong>the</strong>se <strong>number</strong> word classes are<br />

combined by two syntactic rules, i.e., multiplicative composition as well as additive<br />

composition (involving <strong>the</strong> requirement to overwrite zeros). For instance, three hundred<br />

eighty-nine builds upon a product relationship <strong>of</strong> 3 x 100 and a sum relationship <strong>of</strong> 300 + 89<br />

389 (cf. Power & Dal Martello, 1990). Typically, when children are required to transcode<br />

verbal <strong>number</strong> words (e.g., twenty-five) into <strong>the</strong> corresponding string <strong>of</strong> <strong>Arabic</strong> digits (i.e.,<br />

25) or vice versa, <strong>the</strong>ir errors are almost exclusively related to <strong>the</strong> understanding <strong>of</strong> <strong>the</strong>se<br />

syntactic principles (Barrouillet, Camos, Perruchet, & Seron, 2004; Camos, 2008; Power &<br />

Dal Martello, 1990; 1997; Seron & Fayol, 1994; Zuber et al., 2009).<br />

To illustrate this, consider a child who was dictated 124 but wrote 10024 or 1024.<br />

Both <strong>of</strong> <strong>the</strong>se errors reflect a misconception <strong>of</strong> <strong>the</strong> base-10 <strong>place</strong>-<strong>value</strong> system; in particular<br />

<strong>the</strong> necessity to overwrite zeros (Power & Dal Martello, 1990). However, <strong>the</strong> syntactic<br />

<strong>structure</strong> <strong>of</strong> <strong>number</strong> words differ between languages as for instance in German unit and<br />

decade digit are spoken in reversed order (43 is spoken as three and forty). This inversion<br />

property <strong>of</strong> <strong>the</strong> German language has only recently been identified to pose a major obstacle<br />

for transcoding performance. In this vein, Zuber and colleagues (2009) assessed transcoding<br />

performance in 130 German-speaking first graders who had to write down 64 <strong>number</strong>s that<br />

were dictated to <strong>the</strong>m. <strong>The</strong> authors observed that, besides o<strong>the</strong>r common syntactic errors (e.g.,<br />

132

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