Proceedings of the 4th Progressive and Fun Education International Conference, Profunedu 2019, 6-8 August 2019, Makassar, Indonesia

Research Article

The Existence of The Definite Integral: Students’ Understanding

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  • @INPROCEEDINGS{10.4108/eai.7-8-2019.2289033,
        author={Christina Kartika Sari and Isnaeni Umi Machromah and Nida Sri Utami and Zakiyyah  Zakiyyah},
        title={The Existence of The Definite Integral: Students’ Understanding},
        proceedings={Proceedings of the 4th Progressive and Fun Education International Conference, Profunedu 2019, 6-8 August 2019, Makassar, Indonesia},
        publisher={EAI},
        proceedings_a={PROFUNEDU},
        year={2019},
        month={10},
        keywords={calculus conceptual understanding the definite integral students’ understanding},
        doi={10.4108/eai.7-8-2019.2289033}
    }
    
  • Christina Kartika Sari
    Isnaeni Umi Machromah
    Nida Sri Utami
    Zakiyyah Zakiyyah
    Year: 2019
    The Existence of The Definite Integral: Students’ Understanding
    PROFUNEDU
    EAI
    DOI: 10.4108/eai.7-8-2019.2289033
Christina Kartika Sari1,*, Isnaeni Umi Machromah1, Nida Sri Utami1, Zakiyyah Zakiyyah1
  • 1: Universitas Muhammadiyah Surakarta
*Contact email: christina.k.sari@ums.ac.id

Abstract

The definite integral is a part of a compulsory subject, Integral Calculus, for mathematics education students. As pre-service mathematics teachers, students’ understanding of the definite integral concepts is crucial to note. This article presents the result of the investigation students’ understanding of the definition of the definite integral and its existence. The study reported in this paper was done through qualitative research. A questionnaire about the definition of the definite integral and the existence of the definite integral of a defined function on a closed interval was given to 163 students who took Integral Calculus course. Then, 4 of them were selected to interview in depth. The students’ responses indicated the diversity of the conceptual understanding of the existence of the definite integral. Various students’ understanding of the definition of the definite integral that leads to students’ understanding of the existence of the definite integral is presented as well.