Can Children Construct Inverse Relations in Arithmetic? Evidence for Individual Differences in the Development of Conceptual Understanding and Computational Skill.

@article{Gilmore2008CanCC,
  title={Can Children Construct Inverse Relations in Arithmetic? Evidence for Individual Differences in the Development of Conceptual Understanding and Computational Skill.},
  author={Camilla Gilmore and Peter E. Bryant},
  journal={British Journal of Development Psychology},
  year={2008},
  volume={26},
  pages={301-316}
}
  • C. Gilmore, P. Bryant
  • Published 1 September 2008
  • Psychology
  • British Journal of Development Psychology
Understanding conceptual relationships is an important aspect of learning arithmetic. Most studies of arithmetic, however, do not distinguish between children's understanding of a concept and their ability to identify situations in which it might be relevant. We compared 8- to 9-year-old children's use of a computational shortcut based on the inverse relationship between addition and subtraction, in problems where it was transparently applicable (e.g. 17+11−11=□) and where it was not (e.g. 15… 

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