The Development of Mathematical Induction as a Proof Scheme : A Model for DNR-Based Instruction

@inproceedings{Harel2001TheDO,
  title={The Development of Mathematical Induction as a Proof Scheme : A Model for DNR-Based Instruction},
  author={Guershon Harel},
  year={2001}
}
Students’ conceptions of mathematical induction in a standard teaching approach were found to be largely manifestations of deficient proof schemes, such as the authoritative and the symbolic non-quantitative proof schemes. On the other hand, when a fundamentally different instructional treatment of mathematical induction was implemented in an elementary number theory course taught to prospective secondary teachers, students’ conception of mathematical induction developed as a transformational… CONTINUE READING

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