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Educational Studies in Mathematics

, Volume 61, Issue 3, pp 395–402 | Cite as

Convergence of Numerical Sequences – a Commentary on “the Vice: Some Historically Inspired and Proof Generated Steps to Limits of Sequences” By R.P. Burn

  • Analía Bergé
Article
  • 113 Downloads

Abstract

Burn (2005) proposes a genetic approach to teaching limits of numerical sequences. The article includes an explanation of the Method of Exhaustion,1 a generalization of this method, and a description of how this method was used for obtaining areas and lengths in the seventeenth century. The author uses these historical and mathematical analyses as a basis for proposing an alternative definition of the limit of a sequence. The paper focuses on the fine mathematical and historical detail of the notion of limit. Reading it made me reflect on the explicitly or implicitly involved didactical aspects, which I would like to share with ESM readers.

Keywords

Mathematical Analysis Genetic Approach Seventeenth Century Historical Detail Generate Step 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Concordia University Department of Mathematics and StatisticsMontrealCanada

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