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

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<strong>of</strong> <strong>the</strong> probes unit and/or decade digit but may have tried to calculate <strong>the</strong> correct result before<br />

pressing <strong>the</strong> corresponding response button. As this reflects <strong>the</strong> more difficult and thus more<br />

error prone strategy <strong>the</strong>se children may have committed more errors which in turn would<br />

account for <strong>the</strong> negative correlation <strong>of</strong> WM measures with addition performance.<br />

Basic numerical competencies as precursors <strong>of</strong> future performance<br />

First evidence indicating <strong>the</strong> relevance <strong>of</strong> basic numerical competencies as precursors<br />

<strong>of</strong> later arithmetic achievement comes from cross-sectional evaluation <strong>of</strong> typically developing<br />

children (Holloway & Ansari, 2009; see also De Smedt et al., 2009b; Landerl & Kölle, 2009)<br />

as well as from dyscalculia intervention (Kaufmann et al., 2003). <strong>The</strong> current results fit nicely<br />

with both lines <strong>of</strong> evidence identifying basic numerical concepts such as symbolic/nonsymbolic<br />

magnitude representation or counting principles to serve as fundamentals for later<br />

arithmetic achievement. However, as previous studies have only used single digit stimuli in<br />

basic numerical tasks, <strong>the</strong>y have not been able to address <strong>the</strong> issue <strong>of</strong> <strong>place</strong>-<strong>value</strong> integration.<br />

In this way, <strong>the</strong> current study extends <strong>the</strong> findings <strong>of</strong> Holloway and Ansari (2009) in<br />

two important aspects: (i) Here, it was observed that when evaluating <strong>the</strong> predictive power <strong>of</strong><br />

performance in a magnitude comparison task effective magnitude representation (as reflected<br />

by <strong>the</strong> distance effect) is only part <strong>of</strong> <strong>the</strong> story. Ra<strong>the</strong>r, it was found that successful<br />

identification and comparison <strong>of</strong> <strong>the</strong> single digit magnitudes <strong>of</strong> tens and units complying with<br />

<strong>the</strong> <strong>place</strong>-<strong>value</strong> <strong>structure</strong> <strong>of</strong> <strong>Arabic</strong> <strong>number</strong>s (as indexed by <strong>the</strong> unit-decade compatibility<br />

effect) is <strong>of</strong> crucial importance for <strong>the</strong> fur<strong>the</strong>r development <strong>of</strong> arithmetic competencies as<br />

well. Please note that in line with this argument Landerl and Kölle (2009) observed <strong>the</strong><br />

compatibility effect to be reliably more pronounced in children with dyscalculia than in a<br />

typically developing sample <strong>of</strong> control children. This suggests that poor integration <strong>of</strong> tens<br />

and units into <strong>the</strong> <strong>place</strong>-<strong>value</strong> <strong>structure</strong> <strong>of</strong> <strong>the</strong> <strong>Arabic</strong> <strong>number</strong> system may be a key symptom<br />

<strong>of</strong> developmental dyscalculia. (ii) <strong>The</strong> present study was <strong>the</strong> first to evaluate <strong>the</strong><br />

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