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

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Children with an IQ (measured by CFT1; Catell, Weiss & Osterland, 1997) more than<br />

1 SD below <strong>the</strong> average were excluded from <strong>the</strong> initial sample. This affected 2 children in<br />

Austria and 10 children in Italy.<br />

Stimuli and design: <strong>The</strong> <strong>number</strong>-line task used was a paper-pencil version <strong>of</strong> a<br />

<strong>number</strong>-to-position task, requiring children to estimate <strong>the</strong> position <strong>of</strong> a given <strong>number</strong> on an<br />

empty <strong>number</strong>-line. Each stimulus <strong>of</strong> <strong>the</strong> task involved a 10-cm line with <strong>the</strong> left end labeled<br />

“0”, and <strong>the</strong> right end labeled “100”. <strong>The</strong> <strong>number</strong>s to be estimated were printed centrally<br />

above <strong>the</strong> line in <strong>Arabic</strong> notation. Participants had to mark <strong>the</strong> position <strong>of</strong> <strong>the</strong> following<br />

<strong>number</strong>s on <strong>the</strong> hypo<strong>the</strong>tical <strong>number</strong> line in <strong>the</strong> given order: 27, 2, 64, 35, 7, 13, 99, 75, 47, 3,<br />

11, 82, 95, 9, 17, 6, 18, and 53. Most important for <strong>the</strong> current study was <strong>the</strong> fact that no<br />

verbal <strong>number</strong> word was (explicitly) involved in <strong>the</strong> task nei<strong>the</strong>r at <strong>the</strong> presentation nor at <strong>the</strong><br />

response level.<br />

Procedure: Participants were tested in a one-to-one single session with <strong>the</strong><br />

experimenter. Trials were presented sequentially one by one. Children were told to nei<strong>the</strong>r<br />

count nor use any o<strong>the</strong>r strategy but estimating <strong>the</strong> position <strong>of</strong> <strong>the</strong> presented <strong>number</strong> on <strong>the</strong><br />

line. <strong>The</strong> <strong>number</strong>-line task started with an initial orienting problem, followed by <strong>the</strong><br />

experimental problems. On <strong>the</strong> orienting problem, children were asked to estimate <strong>the</strong><br />

position <strong>of</strong> <strong>the</strong> <strong>number</strong> 50 for practice purposes. Nei<strong>the</strong>r fur<strong>the</strong>r information before <strong>the</strong><br />

practice trial (e.g., indicating 50 to be <strong>the</strong> middle <strong>of</strong> <strong>the</strong> scale) nor feedback on performance<br />

after <strong>the</strong> practice trials or any <strong>of</strong> <strong>the</strong> critical trials was given.<br />

Analysis: In a first step, <strong>the</strong> deviation <strong>of</strong> estimated position from true position for<br />

every single item was measured automatically to <strong>the</strong> nearest millimetre and <strong>the</strong> individual<br />

deviation error <strong>of</strong> <strong>the</strong> estimated from <strong>the</strong> actual <strong>value</strong> (in percent) was computed for each<br />

96

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