Mathematical induction: A pedagogical discussion |
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Authors: | Paul Ernest |
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Institution: | (1) School of Education, Mona, University of the West Indies, Kingston 7, Jamaica |
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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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