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Fuadiah, Nyiayu Fahriza
Universitas PGRI Palembang
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Journal : Mathematics Education Journal

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Obstacles to Relations and Functions Concepts Learning in Terms of Theory of Didactic Situations Criteria Kesumawati, Nila; Lusiana; Fuadiah, Nyiayu Fahriza; Retta, Allen Marga
Mathematics Education Journal Vol. 18 No. 2 (2024): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jpm.v18i2.pp259-272

Abstract

Effective learning planning requires information on the obstacles to learning a given concept that students experience to create a learning flow that matches the students’ characters, including in the learning of the concepts of relations and functions. The research aims to determine the learning obstacles (LOs) that students experience in learning the concepts of relations and functions as per the criteria of the theory of didactic situations (TDS). Employing the case study method, this qualitative research was conducted with subjects that included 19 prospective teacher students who had taken a diagnostic test and participated in in-depth interviews. An analysis was conducted based on three TDS criteria, namely action, formulation, and validation. The results revealed two types of LOs that students experienced in learning the concepts of relations and functions: 1) ontogenic obstacles and 2) epistemological obstacles. The first type of obstacles included 1a) the inability to properly understand the definition of the intersection of two relations, referred to as conceptual ontogenic obstacle, and 1b) the inability to relate the concept of relations in drawing a Hasse diagram, referred to as instrumental ontogenic obstacle. Meanwhile, the second type included 2a) the difficulty in expressing relations in the forms of mapping diagrams and graphs, 2b) the difficulty in determining the range of ​​a function, 2c) the difficulty in identifying relations which are also functions, 2d) the inability to represent relations in the forms of mapping diagrams, and 2e) the inability to write a function as a set of ordered pairs. It is recommended that these LO findings be taken into consideration in designing learning tools.
Co-Authors Abd. Rasyid Syamsuri Achmad Amin Setiabudi Aldora Pratama Ali Fakhrudin, Ali Allen Marga Retta, Allen Marga Anna Nurkhasanah Apriani, Frety Nur Arief Kuswidyanarko Ary Prasetya Asnurul Isroqmi Bella Mita Riyani Bella Mita Riyani Budi Utomo Cahyani, Winda Dwi Cahyanti, Windi Dwi Cici Farida Darmayana, Eka Putri Destiniar Destiniar Destiniar Destiniar, Destiniar Destiniar, Destiniar Didi Suryadi Dina Octaria Dina Octaria Ety Septiati Eva Yogie Novianti Fadhilah Fadhilah Fitriasari, Putri Frananda Ayu Julianti Henni Riyanti Henny Riyanti Hidaya, Azakri Rama Irawan, David Budi Isnaini Indah Muthmainah Isnaini Indah Muthmainah Jayanti, Jayanti Julianti Izza Sufitri Jumroh Jumroh, Jumroh Kuswidyanarko, Arief Lestari, Marlina Ayu Lestaria N, Yunika Lestaria Ningsih, Yunika Liza Fitri Uswatun Khasanah Lorenza, Dela Lusiana Lusiana Lusiana Lusiana Lusiana, Lusiana Margaretha Ervina Sinaga Marhamah Marhamah Marhamah Marhamah Marhamah Mariyani Mariyani Maskunah, Cicih Maulina, Rosita Maya Puspitasari Mei lani Miftah Indasari Misdalina Misdalina Mitria, Mitria Muhammad Fikri Irawan Mulbasari, Anggria Septiani Murjainah M. Murjainah Murjainah Murjainah, Murjainah Neshi Neshi Nila Kesumawati Ningsih, Indah Septi Ningsih, Yunika Lestaria nopi yanti Nora Surmilasari, Nora Oktriani, Larasati Patricia Lubis, Patricia Permata Wulan Sari Portuna, Nanda Dwi Ayu Pratama, Aldora Putri Fitriasari Rahmadianti, Annisa Retta, Allen Marga Reza Gunawan Ria, Aprilyanti Mega Riyanti, Henni Rizky, Nora Rohana Rohana ROHANA ROHANA Sari Indah Pratiwi Sefti Arianti Shinta, Rama Siti Fatimah siti walida sundari, indah Surmilasari, Nora Tariska, Nadia Tika Dwi Nopriyanti tri wahyuni Turmudi Wati, Indah Kartika Widuri, Ratih yanti, nopi