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

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Fur<strong>the</strong>r evidence for <strong>place</strong>-<strong>value</strong> <strong>influence</strong>s from more complex tasks and mental<br />

arithmetic<br />

Place-<strong>value</strong> information in <strong>the</strong> <strong>number</strong> bisection task<br />

In <strong>the</strong> <strong>number</strong> bisection task triplets involving a decade crossing (e.g., 23_27_31) were<br />

more difficult to evaluate than triplets staying within <strong>the</strong> same decade (e.g., 21_25_29; Nuerk<br />

et al., 2002; see also <strong>the</strong> following discussion on Study 5 below). This is particularly<br />

remarkable as this specific item property is not primarily important for solving <strong>the</strong> task.<br />

Instead, <strong>the</strong> <strong>number</strong> bisection task was originally assumed to rely on a default solution<br />

strategy <strong>of</strong> magnitude manipulations upon <strong>the</strong> holistic mental <strong>number</strong> line, only (e.g.,<br />

Dehaene & Cohen, 1997; Cohen & Dehaene, 2000). Building on this considerations <strong>of</strong><br />

performance in <strong>the</strong> <strong>number</strong> bisection task to be driven primarily by analogue <strong>number</strong><br />

magnitude representations (seeing each triplet as a cut-out part <strong>of</strong> <strong>the</strong> mental <strong>number</strong> line),<br />

thus, may indicate that <strong>place</strong>-<strong>value</strong> information is never<strong>the</strong>less represented by <strong>the</strong> mental<br />

<strong>number</strong> line. This interpretation is supported by <strong>the</strong> results <strong>of</strong> <strong>the</strong> patient study (Study 5). Not<br />

only did <strong>the</strong> neglect patients exhibit performance impairments associated with <strong>the</strong>m<br />

neglecting <strong>the</strong> left part <strong>of</strong> <strong>the</strong> mental <strong>number</strong> line (cf. Zorzi, Priftis, & Umiltà, 2003) and thus<br />

<strong>the</strong> numerically left part <strong>of</strong> each triplet also for <strong>the</strong> whole range <strong>of</strong> two-digit <strong>number</strong>s. More<br />

specifically, <strong>the</strong>y had particular problems for decade crossing triplets. <strong>The</strong> decrease <strong>of</strong><br />

performance accuracy due to a decade crossing was more pronounced for <strong>the</strong> neglect patients<br />

than for <strong>the</strong> participants <strong>of</strong> <strong>the</strong> control group. On a representational level this may suggest that<br />

<strong>the</strong> processes <strong>of</strong> integration <strong>place</strong>-<strong>value</strong> information are particularly impaired in hemispatial<br />

neglect. Fur<strong>the</strong>rmore, it was observed that <strong>the</strong> decade crossing effect for neglect patients<br />

interacted with <strong>the</strong> position <strong>of</strong> <strong>the</strong> decade crossing within <strong>the</strong> triplet. Neglect patients’<br />

performance was reliably worse in triplets in whom <strong>the</strong> decade crossing occurred between <strong>the</strong><br />

first and <strong>the</strong> second <strong>number</strong> (e.g., 28_32_36) compared to <strong>the</strong> second and third <strong>number</strong> (e.g.,<br />

24_28_32). So, in addition to <strong>the</strong>ir impairment determined by neglecting <strong>the</strong> relatively smaller<br />

316

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