Expert and Novice Approaches to Reading Mathematical Proofs

@article{Inglis2012ExpertAN,
  title={Expert and Novice Approaches to Reading Mathematical Proofs},
  author={Matthew Inglis and Lara Alcock},
  journal={Journal for Research in Mathematics Education},
  year={2012},
  volume={43},
  pages={358-390}
}
This article presents a comparison of the proof validation behavior of beginning undergraduate students and research-active mathematicians. Participants’ eye movements were recorded as they validated purported proofs. The main findings are that (a) contrary to previous suggestions, mathematicians sometimes appear to disagree about the validity of even short purported proofs; (b) compared with mathematicians, undergraduate students spend proportionately more time focusing on “surface features… 

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