Sucesión de sumas parciales como proceso iterativo infinitoun paso hacia la comprensión de las series numéricas desde el modelo APOS

  1. Codes Valcarce, Myriam 1
  2. González-Martín, Alejandro S. 2
  1. 1 Universidad de Salamanca
    info

    Universidad de Salamanca

    Salamanca, España

    ROR https://ror.org/02f40zc51

  2. 2 University of Montreal
    info

    University of Montreal

    Montreal, Canadá

    ROR https://ror.org/0161xgx34

Journal:
Enseñanza de las ciencias: revista de investigación y experiencias didácticas

ISSN: 0212-4521,  2174-6486

Year of publication: 2017

Volume: 35

Issue: 1

Pages: 89-110

Type: Article

DOI: 10.5565/REV/ENSCIENCIAS.1927 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Enseñanza de las ciencias: revista de investigación y experiencias didácticas

Abstract

Learning infinite series entails many difficulties. In this paper, we focus on how students learn one aspect of the concept of infinite series: the sequence of partial sums as an infinite iterative process. The learning process of two groups of first-year university students was analysed using the genetic decomposition of the sequence of partial sums as an infinite iterative process. Different manifestations of action and process conceptions were observed in both groups. The differences in the ways the students grasped the sequence of partial sums reveal the importance of some key mathematical elements for understanding infinite series.

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