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

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

Inferior parietal cortex, <strong>the</strong> angular gyrus and fact knowledge<br />

<strong>The</strong> fMRI signal in <strong>the</strong> angular gyrus was stronger (i) when numerical range was<br />

small, (ii) when problem size was small, (iii) when <strong>number</strong>s were part <strong>of</strong> a multiplication<br />

table, (iv) when no decade crossing occurred, and (v) when <strong>the</strong> distance to <strong>the</strong> mean<br />

increased. Two main reasons for <strong>the</strong> activation <strong>of</strong> <strong>the</strong> angular gyrus shall be discussed: First,<br />

<strong>the</strong> unspecific familiarity with relatively smaller <strong>number</strong>s, and second, <strong>the</strong> capacity to monitor<br />

procedural and rule-based information from different sources.<br />

Familiarity with arithmetic problems<br />

Small and more frequently encountered arithmetic problems establish stronger<br />

representations. <strong>The</strong>refore, <strong>the</strong>y are solved more efficiently than larger and less frequent<br />

problems (Domahs, Delazer and Nuerk, 2006). In <strong>the</strong> present study, stronger fMRI signal was<br />

found in <strong>the</strong> anterior cingulate gyrus and retrosplenial cortex when range was small (Figure<br />

1A). Additionally, when problem size was small (i.e. a triplet consisting <strong>of</strong> relatively small<br />

<strong>number</strong>s, e.g. 3_5_8), increased activation was observed in <strong>the</strong> left angular gyrus and in <strong>the</strong><br />

right angular gyrus to a smaller extent (Figure 1C). Generally, increased activation in <strong>the</strong><br />

anterior cingulate gyrus and <strong>the</strong> retrosplenial cortex is associated with processing more<br />

familiar information (Sugiura, Shah, Zilles, & Fink, 2005; Shah et al., 2001). For <strong>the</strong> case <strong>of</strong><br />

<strong>the</strong> NBT this means that activation in <strong>the</strong> retrosplenial cortex and angular gyrus is associated<br />

with <strong>the</strong> processing <strong>of</strong> smaller and/or easier triplets. Specifically, <strong>the</strong>se are triplets with a<br />

small problem size and spanning a small range. Thus, <strong>the</strong> higher familiarity with <strong>the</strong> <strong>number</strong>s<br />

constituting such triplets can be interpreted as a corollary <strong>of</strong> <strong>the</strong> higher exposure to <strong>the</strong>m.<br />

Additionally, activation in <strong>the</strong> angular gyrus was <strong>of</strong>ten accompanied by a small portion <strong>of</strong> <strong>the</strong><br />

superior prefrontal cortex being activated (e.g. Figure 3, multiplicative>non multiplicative<br />

triplets contrast). Activation in this region may reflect <strong>the</strong> involvement <strong>of</strong> executive<br />

mechanisms responsible for monitoring different cognitive features <strong>of</strong> <strong>the</strong> triplet (Brass and<br />

197

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

Saved successfully!

Ooh no, something went wrong!