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.

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

arithmetical development<br />

Study 3: Language effects on children’s non-verbal <strong>number</strong> line estimations<br />

Figure 1: Mean estimation error in percent .............................................................................. 99<br />

Figure 2: Results <strong>of</strong> both logarithmic (dashed line) and two-linear (solid line) fitting ......... 100<br />

Figure 3: Distribution <strong>of</strong> individually computed breakpoints ................................................ 101<br />

Figure 4: Regression lines based on <strong>the</strong> mean estimates <strong>of</strong> all children per data point ......... 102<br />

Figure 5: Mean estimation error in percent for Italian- and German-speaking children ....... 105<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 />

Figure 1: Distribution <strong>of</strong> error types as categorized by Zuber et al. (2009) ........................... 145<br />

Figure 2: A hypo<strong>the</strong>tical curvilinear model <strong>of</strong> <strong>the</strong> relationship between <strong>the</strong> distance effect and<br />

arithmetic performance .............................................................................................. 163<br />

XVII

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

Saved successfully!

Ooh no, something went wrong!