The Inverse Relation of Addition and Subtraction: A Knowledge Integration Perspective

@article{Schneider2009TheIR,
  title={The Inverse Relation of Addition and Subtraction: A Knowledge Integration Perspective},
  author={Michael Schneider and Elsbeth Stern},
  journal={Mathematical Thinking and Learning},
  year={2009},
  volume={11},
  pages={101 - 92}
}
A number of mathematical concepts and computational procedures are linked to the inverse relation of addition and subtraction on an abstract mathematical level. In this discussion article for the special issue on subtraction-related principles, we suggest that the mainstream of research on inversion is conducted from a Knowledge Dissociation Perspective in which researchers show that children often fail to see abstract relations in the domain. Implicit rationale of the studies is that seeing… 
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