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.

LIST OF TABLES<br />

Section 1: General Introduction<br />

Table 1: Intra- and interexponential structuring <strong>of</strong> numerical notation systems........................ 7<br />

Section 3: On <strong>the</strong> importance <strong>of</strong> <strong>place</strong>-<strong>value</strong> integration in<br />

arithmetical development<br />

Study 4: Early <strong>place</strong>-<strong>value</strong> understanding as a precursor for later arithmetic<br />

performance – a longitudinal study on numerical development<br />

Table 1: Place-<strong>value</strong> understanding in two/digit <strong>number</strong> magnitude comparison ................. 134<br />

Table 2: Correlation matrix depicting <strong>the</strong> <strong>influence</strong> <strong>of</strong> basic numerical tasks as well as <strong>the</strong><br />

numerical effects on overall addition performance .................................................... 148<br />

Table 3: Regression model predicting <strong>the</strong> overall <strong>number</strong> <strong>of</strong> errors in <strong>the</strong> addition task on <strong>the</strong><br />

basis <strong>of</strong> specific numerical effects ............................................................................. 150<br />

Table 4: Regression model predicting <strong>the</strong> carry effect, <strong>the</strong> <strong>number</strong> <strong>of</strong> errors for carry<br />

problems, and <strong>the</strong> <strong>number</strong> <strong>of</strong> errors in non-carry problems on <strong>the</strong> basis <strong>of</strong> numerical<br />

effects ......................................................................................................................... 154<br />

XX

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

Saved successfully!

Ooh no, something went wrong!