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

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striking similarity between <strong>the</strong> original German-speaking participants and <strong>the</strong> Italian children.<br />

Again, <strong>the</strong> vast majority <strong>of</strong> children (71 out <strong>of</strong> 97 Italian-speaking children) had a breakpoint<br />

around <strong>the</strong> hypo<strong>the</strong>sized change from one- to two-digit <strong>number</strong> representation at 10 (see<br />

Figure 3). This is also reflected by <strong>the</strong> median <strong>of</strong> <strong>the</strong> individual breakpoints equaling 9.82 (M<br />

= 21.19, SD = 45.95).<br />

80<br />

Distribution <strong>of</strong> individual breakpoints<br />

60<br />

N<br />

40<br />

20<br />

0<br />

95<br />

Figure 3: Distribution <strong>of</strong> individually computed breakpoints<br />

(rounded to <strong>the</strong> nearest integer) and arranged in clusters<br />

around <strong>the</strong> multiples <strong>of</strong> 10.<br />

Taken toge<strong>the</strong>r, our results streng<strong>the</strong>n <strong>the</strong> assumption <strong>of</strong> two separate but linear<br />

representations for singe-digit and two-digit <strong>number</strong>s as both Austrian and Italian children’s<br />

estimates on <strong>the</strong> 0 - 100 scale are accounted for best by a two-linear model with an assumed<br />

break point at 10 (see Figure 4 for an illustration <strong>of</strong> regression models based on <strong>the</strong> mean<br />

estimation <strong>of</strong> all children). This also implies that <strong>the</strong> representations <strong>of</strong> two-digit <strong>number</strong>s<br />

may be an integration <strong>of</strong> <strong>the</strong> two single digits constituting <strong>the</strong> <strong>number</strong>. As German and Italian<br />

differ in <strong>the</strong> way two-digit <strong>number</strong>s are verbalized (see above) we were interested whe<strong>the</strong>r <strong>the</strong><br />

performance differences observed for <strong>the</strong> 0 - 100 scale were specifically driven by <strong>the</strong><br />

inversion properties <strong>of</strong> <strong>the</strong> German <strong>number</strong>-word system, albeit an identical underlying<br />

101

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