Modeling Students ’ Learning on Mathematical Proof and Refutation

  title={Modeling Students ’ Learning on Mathematical Proof and Refutation},
  author={F. Lin},
Based on a national survey and some further studies of mathematical proof and refutation of 7 through 9 graders, this paper will show evidence of the existence of continuity between refuting as a learning strategy and the production of conjectures, and between a more effective teaching strategy and the traditional teaching strategy. A detailed analysis of students’ refutation schemes will be presented, and a model of their refuting process will be described based on both their refutation… CONTINUE READING