The relevance of basic numerical skills for fraction processing: Evidence from cross-sectional data

PLoS One. 2023 Jan 31;18(1):e0281241. doi: 10.1371/journal.pone.0281241. eCollection 2023.

Abstract

Recent research indicated that fraction understanding is an important predictor of later mathematical achievement. In the current study we investigated associations between basic numerical skills and students' fraction processing. We analyzed data of 939 German secondary school students (age range = 11.92 to 18.00 years) and evaluated the determinants of fraction processing considering basic numerical skills as predictors (i.e., number line estimation, basic arithmetic operations, non-symbolic magnitude comparison, etc.). Additionally, we controlled for general cognitive ability, grade level, and sex. We found that multiplication, subtraction, conceptual knowledge, number line estimation, and basic geometry were significantly associated with fraction processing beyond significant associations of general cognitive ability and sex. Moreover, relative weight analysis revealed that addition and approximate arithmetic should also be considered as relevant predictors for fraction processing. The current results provide food for thought that further research should focus on investigating whether recapitulating basic numerical content in secondary school mathematics education can be beneficial for acquiring more complex mathematical concepts such as fractions.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Achievement*
  • Adolescent
  • Child
  • Cross-Sectional Studies
  • Educational Status
  • Humans
  • Mathematics
  • Students*

Grants and funding

This research was funded and is part of the research program „Netzwerk Bildungsforschung“ (Educational Research Network) of the Baden-Württemberg Stiftung provided to K.L. and was additionally partly funded by the LEAD Graduate School & Research Network [GSC1028], a project of the Excellence Initiative of the German federal and state government. There was no additional external funding received for this study.