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Nia Kania
Department Of Mathematics Education, Universitas Majalengka, 45411
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Journal : Southeast Asian Mathematics Education Journal

 1 
Phenomenological Hermeneutic Study on the Epistemological Obstacles of High School Students in Solving Combinatorics Problems Nopriana, Tri; Asnawati, Sri; Kania, Nia
Southeast Asian Mathematics Education Journal Vol 15, No 1 (2025)
Publisher : SEAMEO Regional Centre for QITEP in Mathematics

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46517/seamej.v15i1.468

Abstract

This study employs a hermeneutic phenomenological approach to explore students' epistemological obstacles in solving permutation and combination problems, with the goal of supporting the development of more effective teaching materials. The research involved 24 12th-grade high school students (14 males and 10 females) and used qualitative methods. Data were collected through five diagnostic essay questions and semi-structured interviews to identify epistemological obstacles in combinatorics. Students’ written responses and interview transcripts were analyzed and interpreted to uncover the underlying obstacles. The findings revealed several epistemological obstacles: (1) students were unable to identify all possible answers from a given problem; (2) students could not differentiate between problems requiring the concept of permutation and those requiring the concept of combination; (3) students struggled to solve problems that differed from the example problems provided; and (4) challenges in formulating a complete solution when faced with multiple conditions, despite being able to calculate partial results. These insights suggest that teachers and future researchers should consider students' epistemological obstacles when designing instructional materials, particularly for topics in combinatorics such as permutations and combinations. Developing learning resources based on these findings may enhance conceptual understanding and problem-solving skills among students.
Co-Authors Aep Saepudin Aep Sunendar Agung Ary Wibowo, Agung Ary Agus Suhendar, Agus Alexandro, Garry Anggraini, Farida Anggun Apriliani Annaba, Aziz Anton Nasrullah, Anton Apriliani, Anggun Ariani, Risna Azis, Rizal Azma Rosida, Azma Azmiyannoor, Muhammad Bonyah, Ebenezer Budiwinata, Winardi Dadang Juandi Dadang Juandi Dede Eti Nurhasanah Devi, Wivina Riza Dewi Fitriyani Dian Ana Mutriqah Didi Suryadi Didik Priyandoko Edi Hartoyo Eka Yudha Rahman Eko Suhartono Elah Nurlaelah Elis Rosmawati Elsayed, Ebrahim E. Eriana, Nisa Nur Agistni Erik Santoso Erik Santoso Ermina Istiqomah, Ermina Esabilita, Monica Fahdyanoor, Fahdyanoor Faridayanti, Iva Fath, Tri Putra Nuur Fatharoni, Gusti Dicky Fitriani, Cut Florence M. Kyaruzi Fujiati ., Fujiati Gazali, Akhmad Gí¼rbí¼z, Ferit Gürbüz, Ferit Hadiprasetyo, Dhanar Septyawan Hani Hanipah Harapan Parlindungan Ringoringo, Harapan Parlindungan Hardyan Sauqi Hariri, Dewi Damayanti Hendriyanto, Agus Herawati , Herawati Herawati Herawati Hidayat, Amat Hidayati, Novita Huldani Huldani Husaini Husaini Hussain, Amil Ida Ayu Putu Sri Widnyani Iik Nurhikmayati Iik Nurhikmayati, Iik Ilham Muhammad Isa, Mohamad Istiqamah, Ermina Istiqamah Jarnawi Afgani Dahlan Julia, Rida Khan, Hasnain Krida Singgih Kuncoro Kyaruzi, Florence Kyaruzi, Florence M. Larsari, Vahid Norouzi Lenie Marlinae Lilis Marina Angraini M. Arif Hakim M. Gilar Jatisunda Mahmudah, Hilda Mardini, Heni Meitria Syahadatina Noor Mijani Rahman, Mijani Mohamad Gilar Jatisunda Mohammad Bakhriansyah Mohammad Rudiansyah Muhammad Abdan Shadiqi Muthia Elma Nelly Al Audhah Nila Nirmalasari, Nila Noor, M. Hafidhuddin Noor, Meitira Syahadatina Nunuy Ratnawulan Nunuy Ratnawulan Oski Illiandri Perdias, Antonio Poerwosusanta, Hery Pratama, Muhammad Noor Aditya Pratiwi, Amalia E. Rachman, M. Fathur Rahma, Aulia Rampun, Erdina L.A. Ratnawulan, Nunuy Risnawati Risnawati Roselina Panghiyangani Rosihan Adhani, Rosihan Rosmawati, Elis Sabrina, Adilah Hafizha Nur Sanyoto, Didik Dwi Silvia Kristanti Tri Febriana Silvia Kristanti Tri Febriana, Silvia Kristanti Skripsiana, Nika Sterina Sri Asnawati, Sri Sudianto Sudianto Sudianto Sudianto Suhana, Nono Sutapa, Hendra Tri Nopriana, Tri Triawanti Triawanti Triawanti Umar, Nasir Vahid Norouzi Larsari Vici Suciawati WAHYU WIDOWATI Wibawa, Fayza Sandya Yasir Yasir Yaya S. Kusumah Yulizar, Deddy Rasyidan Zaenal Arifin Zaenal Arifin Zaenal Arifin Zainal Abidin Zairin Noor