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  • 标题:The Exponential Function Meaning on Mathematical Modeling Activities: A Semiotic Approach
  • 本地全文:下载
  • 作者:Karina Alessandra Pessoa da Silva ; Lourdes Maria Werle de Almeida
  • 期刊名称:REDIMAT: Journal of Research in Mathematics Education
  • 电子版ISSN:2014-3621
  • 出版年度:2018
  • 卷号:7
  • 期号:2
  • 页码:195-218
  • DOI:10.17583/redimat.2018.2762
  • 出版社:Hipatia Press
  • 摘要:In this article we present a reflection on the meaning attribution to the mathematical object exponential function that emerges from two mathematical modelling activities. The analysis we present are based on the theoretical assumptions of mathematical modelling and Peirce's semiotics. We analyze the interpretant signs produced by a student in two activities developed in two different educational contexts: a undergraduate degree in Mathematics course and a post-graduation course in Mathematics Education. The analysis indicates that the meaning of the mathematical object and the systems of practices and contexts of use are nested. The interpretant signs in each situation correspond to the interpretive effect that a sign produces in the interpreter's mind. The meaning attribution seems to be aligned with the pragmatism characterized by Peirce in semiotics. The meaning for the exponential function is justified by its use in practical situations that enable the production of specific interpretants signs in each situation.
  • 其他摘要:In this article we present a reflection on the meaning attribution to the mathematical object exponential function that emerges from two mathematical modelling activities. The analysis we present are based on the theoretical assumptions of mathematical modelling and Peirce's semiotics. We analyze the interpretant signs produced by a student in two activities developed in two different educational contexts: a undergraduate degree in Mathematics course and a post-graduation course in Mathematics Education. The analysis indicates that the meaning of the mathematical object and the systems of practices and contexts of use are nested. The interpretant signs in each situation correspond to the interpretive effect that a sign produces in the interpreter's mind. The meaning attribution seems to be aligned with the pragmatism characterized by Peirce in semiotics. The meaning for the exponential function is justified by its use in practical situations that enable the production of specific interpretants signs in each situation.
  • 关键词:Mathematical modeling; Peirce’s semiotics; meaning attribution; exponential function
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