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

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INTRODUCTION<br />

<strong>The</strong> understanding and processing <strong>of</strong> numerical quantities constitutes one <strong>of</strong> <strong>the</strong> most<br />

far reaching steps in <strong>the</strong> development <strong>of</strong> numerical cognition. It is not only decisive for<br />

performance in basic numerical tasks such as estimation or <strong>number</strong> comparison; but also it is<br />

thought to serve as a building block for competences in higher levels <strong>of</strong> numerical cognition<br />

such as calculation (e.g., Holloway & Ansari, 2008; Laski & Siegler, 2006). Thus, given <strong>the</strong><br />

importance <strong>of</strong> this basic numerical competency, understanding <strong>the</strong>ir developmental<br />

trajectories and <strong>the</strong>ir cognitive underpinnings seems crucial. However, knowledge on how <strong>the</strong><br />

representation <strong>of</strong> symbolic <strong>number</strong> magnitude develops and on <strong>the</strong> factors which determine<br />

this development (e.g., language) is still ra<strong>the</strong>r patchy.<br />

<strong>The</strong> mental <strong>number</strong> line and its development<br />

It is widely agreed that <strong>number</strong> magnitude processing operates upon a spatially<br />

organized representation <strong>of</strong> <strong>number</strong>s along a mental <strong>number</strong> line (MNL; e.g., Dehaene &<br />

Cohen, 1995; Restle, 1970; but see van Opstal, Gevers, de Moor, & Verguts, 2008, for a<br />

different view). Upon this MNL, relatively smaller <strong>number</strong>s are associated with <strong>the</strong> left side,<br />

whereas <strong>number</strong>s are represented fur<strong>the</strong>r and fur<strong>the</strong>r to <strong>the</strong> right with increasing magnitude<br />

(e.g., Dehaene, Bossini, & Gireaux, 1993; Zorzi, Priftis, & Umiltà, 2002; Zorzi, Priftis,<br />

Meneghello, Marenzi, & Umiltà, 2006; Priftis, Zorzi, Meneghello, Marenzi, & Umiltà, 2006;<br />

but see Shaki, Fisher, & Petrusic, 2009; Zebian, 2005 for evidence on a reversed orientation<br />

<strong>of</strong> <strong>the</strong> mental <strong>number</strong> line in cultures reading from right to left). Commonly, this spatial<br />

mapping <strong>of</strong> <strong>number</strong>s is thought to develop around <strong>the</strong> age <strong>of</strong> 7 (Berch, Foley, Hill, & Ryan,<br />

1999; van Galen, & Reitsma, 2008; but see Opfer, Thompson, & Furlong, in press; Opfer &<br />

Furlong, this issue for evidence suggesting first spatial-numerical associations even in<br />

88app

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