27.12.2013 Views

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

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

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

SHOW MORE
SHOW LESS

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

y Studies 5 and 6 <strong>of</strong> <strong>the</strong> current <strong>the</strong>sis. Against <strong>the</strong> background <strong>of</strong> <strong>the</strong> findings suggesting a<br />

disruption <strong>of</strong> <strong>the</strong> mental <strong>number</strong> line by hemi-spatial neglect (e.g., Zorzi, Priftis, & Umltà,<br />

2002; Priftis, Zorzi, Meneghello, Marenzi, & Umltà, 2006) and <strong>the</strong> suggested existence <strong>of</strong><br />

multiple <strong>number</strong> lines (i.e., one for each power level: units, tens, etc, see Nuerk et al., 2001;<br />

Nuerk & Willmes, 2005 for a more detailed discussion) <strong>the</strong> question comes up in how far<br />

hemi-spatial neglect affects <strong>place</strong>-<strong>value</strong> attributes <strong>of</strong> <strong>the</strong> to-be-processed <strong>number</strong>s. In Study 5<br />

<strong>the</strong> <strong>number</strong> bisection task was employed to evaluate <strong>the</strong> consequences <strong>of</strong> hemi-spatial neglect<br />

on <strong>the</strong> processing <strong>of</strong> <strong>place</strong>-<strong>value</strong> information. <strong>The</strong>reby, using a task for which a crucial<br />

<strong>influence</strong> <strong>of</strong> <strong>place</strong>-<strong>value</strong> knowledge on task performance is known (see Nuerk et al., 2002) to<br />

assess <strong>place</strong>-<strong>value</strong> <strong>influence</strong>s in neuropsychologically relevant group <strong>of</strong> participants to<br />

increase our knowledge on <strong>the</strong> generalizability <strong>of</strong> decomposed processing <strong>of</strong> two-digit<br />

<strong>number</strong>s. In Study 6 <strong>the</strong> same task is again employed to evaluate possible neural correlates <strong>of</strong><br />

<strong>place</strong>-<strong>value</strong> processing in particular. Wood and colleagues (2006b) were able to narrow down<br />

specific processes <strong>of</strong> <strong>place</strong>-<strong>value</strong> integration as reflected by <strong>the</strong> compatibility effect in twodigit<br />

magnitude comparison to a small area within <strong>the</strong> intraparietal sulcus. Thus, it was<br />

hypo<strong>the</strong>sized that <strong>place</strong>-<strong>value</strong> processing as required in <strong>the</strong> <strong>number</strong> bisection task should lead<br />

to specific neural activation at a comparable site. <strong>The</strong>reby, converging evidence for specific<br />

neural processing related to <strong>place</strong>-<strong>value</strong> representations would be provided from a different<br />

task, again corroborating <strong>the</strong> notion <strong>of</strong> decomposed processing <strong>of</strong> tens and units to be a quite<br />

general characteristic <strong>of</strong> multi-digit <strong>number</strong> processing.<br />

Finally, <strong>the</strong> interpretation <strong>of</strong> empirical evidence should be guided by <strong>the</strong>oretical<br />

considerations, possibly formalized by a <strong>the</strong>oretical model. Nuerk and Willmes (2005, see<br />

also Nuerk et al., 2001 for first sketches and Knops, 2006 for fur<strong>the</strong>r specifications) provided<br />

such a model <strong>of</strong> decomposed processing for <strong>the</strong> case <strong>of</strong> two-digit <strong>number</strong> comparison.<br />

Moreover, in recent years, a growing <strong>number</strong> <strong>of</strong> studies tried to implement <strong>the</strong> constraints <strong>of</strong><br />

25

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!