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Educational Studies in Mathematics

, Volume 89, Issue 1, pp 133–147 | Cite as

Influence of additive and multiplicative structure and direction of comparison on the reversal error

  • José Antonio González-Calero
  • David Arnau
  • Belén Laserna-Belenguer
Article

Abstract

An empirical study has been carried out to evaluate the potential of word order matching and static comparison as explanatory models of reversal error. Data was collected from 214 undergraduate students who translated a set of additive and multiplicative comparisons expressed in Spanish into algebraic language. In these multiplicative comparisons we used a format that can be translated from Spanish word-for-word as “n times more than” (increasing comparison) and “n times less than” (decreasing comparison) instead of “n times as many”, which is usual in other studies. Data analysis shows a significantly lower incidence of reversal error in the decreasing comparisons compared to the increasing ones. Additionally, no significant differences were found between additive and multiplicative comparisons. These results cannot be explained by the static comparison model.

Keywords

Problem solving Algebra Reversal error Equation 

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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • José Antonio González-Calero
    • 1
  • David Arnau
    • 2
  • Belén Laserna-Belenguer
    • 2
  1. 1.Department of MathematicsUniversity of Castilla-La Mancha, School of Education of Albacete (Edificio Simón Abril)AlbaceteSpain
  2. 2.Department of Didactics of MathematicsUniversity of ValenciaValenciaSpain

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