Early place-value understanding as a precursor for later arithmetic performance--a longitudinal study on numerical development

Res Dev Disabil. Sep-Oct 2011;32(5):1837-51. doi: 10.1016/j.ridd.2011.03.012. Epub 2011 Apr 16.


It is assumed that basic numerical competencies are important building blocks for more complex arithmetic skills. The current study aimed at evaluating this interrelation in a longitudinal approach. It was investigated whether first graders' performance in basic numerical tasks in general as well as specific processes involved (e.g., place-value understanding) reliably predicted performance in an addition task in third grade. The results indicated that early place-value understanding was a reliable predictor for specific aspects of arithmetic performance. Implications of the role of basic numerical competencies for the acquisition of complex arithmetic are discussed.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Child
  • Child Development*
  • Educational Measurement
  • Female
  • Follow-Up Studies
  • Humans
  • Intelligence
  • Longitudinal Studies
  • Male
  • Mathematics / education*
  • Mathematics / methods*
  • Memory, Short-Term
  • Mental Processes*
  • Regression Analysis
  • Students*