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

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one even before having seen <strong>the</strong> second <strong>number</strong>. <strong>The</strong>reby, when <strong>the</strong> second <strong>number</strong> is<br />

presented this expectation is ei<strong>the</strong>r confirmed or disconfirmed. In <strong>the</strong> first case, no fur<strong>the</strong>r<br />

processing <strong>of</strong> <strong>the</strong> two <strong>number</strong>s magnitude is required and only in <strong>the</strong> latter case additional<br />

evaluations <strong>of</strong> <strong>the</strong> magnitude relations between tens and units may be initiated. <strong>The</strong>reby, <strong>the</strong><br />

results for simultaneous and sequential presentation conditions may stem from two<br />

completely different underlying processes and thus direct comparisons should be treated with<br />

caution.<br />

Moreover, <strong>the</strong> issue <strong>of</strong> confirming / disconfirming expectations about <strong>the</strong> second<br />

<strong>number</strong> may be even aggravated by <strong>the</strong> realization <strong>of</strong> <strong>the</strong> sequential presentation condition.<br />

From a methodological point <strong>of</strong> view it seems problematic that to-be-compared <strong>number</strong>s were<br />

presented sequentially at exactly <strong>the</strong> same position and with an inter-<strong>number</strong>-interval <strong>of</strong> only<br />

200 ms without using a backward mask. Even when about one-third within-decade trials such<br />

as 43_49 were included to prevent participants from focusing on <strong>the</strong> tens position only (see<br />

Experiment 2 <strong>of</strong> Ganor-Stern et al., 2008), at this speed <strong>the</strong> task is more like a visual<br />

discrimination task on <strong>the</strong> tens position than a <strong>number</strong> magnitude comparison task requiring<br />

<strong>the</strong> processing <strong>of</strong> both tens and units. Imagine <strong>the</strong> case <strong>of</strong> a within-decade trial, with an inter<strong>number</strong>-interval<br />

<strong>of</strong> just 200 ms and both <strong>number</strong>s being presented at exactly <strong>the</strong> same position<br />

such an item is identified immediately by a change <strong>of</strong> <strong>the</strong> visual input at <strong>the</strong> unit position<br />

only. On <strong>the</strong> o<strong>the</strong>r hand, between-decade trials can be identified 100 % correct by a change <strong>of</strong><br />

visual stimulus properties at <strong>the</strong> tens position. <strong>The</strong>reby, <strong>the</strong> sequential condition as realized by<br />

Ganor-Stern et al. (2008) includes visual cues coding which digit is relevant for which trial<br />

that are 100 % valid. Based on this methodological flaw synced with above considerations on<br />

possible representational differences between sequential and simultaneous presentation<br />

conditions <strong>the</strong> claim <strong>of</strong> a holistic magnitude representation engaged in <strong>the</strong> sequential<br />

processing condition seems much too strong. A future study preventing visual cues to be 100<br />

% valid by e.g., employing a backward mask presented after each individual <strong>number</strong> or<br />

314

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