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

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(ii) In <strong>the</strong> magnitude comparison task children had to evaluate 120 two-digit <strong>number</strong><br />

pairs and indicate which one <strong>of</strong> <strong>the</strong> two <strong>number</strong>s presented above each o<strong>the</strong>r on a computer<br />

screen was larger by pressing <strong>the</strong> corresponding response key. <strong>The</strong> two to-be-compared<br />

<strong>number</strong>s were presented in Arial font (size: 60) until one <strong>of</strong> <strong>the</strong> two response buttons was<br />

pressed. <strong>The</strong> stimulus set comprised 80 between-decade trials for which decade distance (i.e.,<br />

small vs. large; e.g., 23_47 vs. 21_85) and unit-decade compatibility (i.e., compatible vs.<br />

incompatible; e.g., 42_57 vs. 47_62) was manipulated in a 2 x 2 within participant design.<br />

Additionally, <strong>the</strong> stimulus set involved 40 within-decade trials (e.g., 32_37). <strong>The</strong> split-half<br />

reliability <strong>of</strong> <strong>the</strong> magnitude comparison task was r tt =.45.<br />

(iii) <strong>The</strong> WM tasks were designed to tap <strong>the</strong> three WM components suggested by<br />

Baddeley (1986): verbal, visuo-spatial WM and central executive: a) verbal WM was assessed<br />

by a letter repetition task. This task involves <strong>the</strong> presentation <strong>of</strong> spoken sequences <strong>of</strong> letters<br />

for immediate serial recall. After a practice trial, a maximum <strong>of</strong> three lists were presented to<br />

<strong>the</strong> children at each length, starting with a two-item sequence. Only when two <strong>of</strong> three lists <strong>of</strong><br />

a particular length were recalled correctly, list length was increased by one o<strong>the</strong>rwise testing<br />

was stopped. Letters were presented at a rate <strong>of</strong> approximately one per second. <strong>The</strong> maximum<br />

sequence length at which two lists were correctly recalled was <strong>the</strong>n used a measure <strong>of</strong> verbal<br />

WM span. b) Visuo-spatial WM was measured by <strong>the</strong> Corsi block tapping task (Corsi, 1972).<br />

<strong>The</strong> location <strong>of</strong> a certain <strong>number</strong> <strong>of</strong> cubes on a board had to be remembered and reproduced in<br />

correct order. After a practice trial subsequent procedure and classification <strong>of</strong> results was<br />

similar to that for <strong>the</strong> letter repetition task. c) For central executive (CE) assessment each<br />

child had to recall sequences <strong>of</strong> spoken letters and Corsi blocks in reversed order (for a<br />

similar consideration <strong>of</strong> backward spans as a central executive task see e.g., Ga<strong>the</strong>rcole &<br />

Pickering, 2000). Practice trials ensured that <strong>the</strong> concept <strong>of</strong> “reverse” was correctly<br />

understood by each child. Subsequent procedure and scoring were identical to that described<br />

above for forward span tasks.<br />

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