Abstract
It is observed that many students have difficulty in producing correct proofs by the method of mathematical induction. The notion of a correct proof by this method is analysed mathematically. Subsequently, the topic is analysed into behavioural skills and subjected to a conceptual analysis. Common misconception of induction are considered, with recommendations for their remediation. Finally, criteria for the analysis and evaluation of textbook treatments of induction are evolved and applied to a selection of texts.
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Ernest, P. Mathematical induction: A pedagogical discussion. Educ Stud Math 15, 173–189 (1984). https://doi.org/10.1007/BF00305895
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DOI: https://doi.org/10.1007/BF00305895