Place‐value understanding in number line estimation predicts future arithmetic performance

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2016
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Dietrich, Julia F.
Huber, Stefan
Dackermann, Tanja
Moeller, Korbinian
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British Journal of Developmental Psychology ; 34 (2016), 4. - S. 502-517. - ISSN 0261-510X. - eISSN 2044-835X
Zusammenfassung
In multi-digit numbers, the value of each digit is determined by its position within the digit string. Children's understanding of this place-value structure constitutes a building block for later arithmetic skills. We investigated whether a number line estimation task can provide an assessment of place-value understanding in first grade. We hypothesized that estimating the position of two-digit numbers requires place-value understanding. Therefore, we fitted a linear function to children's estimates of two-digit numbers and considered the resulting slope as a measure of children's place-value understanding. We observed a significant correlation between this slope and children's performance in a transcoding task known to require place-value understanding. Additionally, the slope for two-digit numbers assessed at the beginning of grade 1 predicted children's arithmetic performance at the end of grade 1. These results indicate that the number line estimation task may indeed constitute a valid measure for first-graders' place-value understanding. Moreover, these findings are hard to reconcile with the view that number line estimation directly assesses a spatial representation of numbers. Instead, our results suggest that numerical processes involved in performing the task (such as place-value understanding) may drive the association between number line estimation and arithmetic performance.
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ISO 690DIETRICH, Julia F., Stefan HUBER, Tanja DACKERMANN, Korbinian MOELLER, Ursula FISCHER, 2016. Place‐value understanding in number line estimation predicts future arithmetic performance. In: British Journal of Developmental Psychology. 34(4), pp. 502-517. ISSN 0261-510X. eISSN 2044-835X. Available under: doi: 10.1111/bjdp.12146
BibTex
@article{Dietrich2016Place-45005,
  year={2016},
  doi={10.1111/bjdp.12146},
  title={Place‐value understanding in number line estimation predicts future arithmetic performance},
  number={4},
  volume={34},
  issn={0261-510X},
  journal={British Journal of Developmental Psychology},
  pages={502--517},
  author={Dietrich, Julia F. and Huber, Stefan and Dackermann, Tanja and Moeller, Korbinian and Fischer, Ursula}
}
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