Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia

Research Article

Didactic Transposition On The Concept Of Central Angle And Circumferential Angle In Junior High School

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  • @INPROCEEDINGS{10.4108/eai.12-10-2019.2296425,
        author={Winarji  Winarji and Turmudi  Turmudi},
        title={Didactic Transposition On The Concept Of Central Angle And Circumferential Angle In Junior High School},
        proceedings={Proceedings of the 7th Mathematics, Science, and Computer Science Education International Seminar, MSCEIS 2019, 12 October 2019, Bandung, West Java, Indonesia},
        publisher={EAI},
        proceedings_a={MSCEIS},
        year={2020},
        month={7},
        keywords={didactic transposition central angles circumferential angles},
        doi={10.4108/eai.12-10-2019.2296425}
    }
    
  • Winarji Winarji
    Turmudi Turmudi
    Year: 2020
    Didactic Transposition On The Concept Of Central Angle And Circumferential Angle In Junior High School
    MSCEIS
    EAI
    DOI: 10.4108/eai.12-10-2019.2296425
Winarji Winarji1,*, Turmudi Turmudi2
  • 1: Program Studi Pendidikan Matematika, Sekolah Pascasarjana, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi No. 229, Bandung 40154, Indonesia
  • 2: Departemen Pendidikan Matematika, Fakultas Pendidikan Matematika dan IPA, Universitas Pendidikan Indonesia, Jl. Dr. Setiabudi No. 229, Bandung 40154, Indonesia
*Contact email: agus.winarji@upi.edu

Abstract

A study was conducted to analyze the didactic transposition process on the concept of central and circumferential angles in junior high school. This research is a hermeneutic phenomenology research. Geometry textbooks, the 2013 curriculum and junior high school mathematics textbooks are the data sources in this study. Descriptive analysis is used to analyze the didactic transposition process. The results of this study indicate that there is no structural change in the concept of the central angle and the circumferential angle from scholarly mathematics to school mathematics. But there is a change in form (content) in the concept of the central angle and the circumferential angle from scholarly mathematics to school mathematics. In school mathematics, the concepts presented are contextual, concrete and simple. Whereas in scholarly mathematics, the concepts presented are abstract. This change in form adjusts the level of cognitive development of students.