Analysis of the Meanings of the Antiderivative Used by Students of the First Engineering Courses

  • Luis R. Pino-Fan
  • Vicenç Font
  • Wilson Gordillo
  • Víctor Larios
  • Adriana Breda


In this article, we present the results of the administration of a questionnaire designed to evaluate the understanding that civil engineering students have of the antiderivative. The questionnaire was simultaneously administered to samples of Mexican and Colombian students. For the analysis of the answers, we used some theoretical and methodological notions provided by the theoretical model known as Onto-Semiotic Approach (OSA) to mathematical cognition and instruction. The results revealed the meanings of the antiderivative that are more predominantly used by civil engineering students. Also, the comparison between the mathematical activity of Mexican and Colombian students provides information that allows concluding that the meanings mobilized could be shared among their communities and are not particular of their classroom or university.


Antiderivative Calculus Engineering students Understanding 



This study has been performed in the framework of research projects FONDECYT Nº 11150014 (Funded by CONICYT, Chile), and EDU2015-64646-P (MINECO/FEDER, UE).

Supplementary material

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Copyright information

© Ministry of Science and Technology, Taiwan 2017

Authors and Affiliations

  • Luis R. Pino-Fan
    • 1
  • Vicenç Font
    • 2
  • Wilson Gordillo
    • 3
  • Víctor Larios
    • 4
  • Adriana Breda
    • 5
  1. 1.Department of Exact Sciences. Post Graduate Program in Mathematics EducationUniversidad de Los LagosOsornoChile
  2. 2.Universitat de BarcelonaBarcelonaSpain
  3. 3.Universidad Distrital Francisco José de CaldasBogotáColombia
  4. 4.Universidad Autónoma de QuerétaroSantiago de QuerétaroMexico
  5. 5.Universidad de Los LagosOsornoChile

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