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Journal : Range : Jurnal Pendidikan Matematika

Zone of Concept Image Differences in the Concept of Angles Formed by A Transversal at Undergraduate Level Herizal, Herizal; Priatna, Nanang; Prabawanto, Sufyani; Jupri, Al
RANGE: Jurnal Pendidikan Matematika Vol. 7 No. 1 (2025): Range Juli 2025
Publisher : Pendidikan Matematika UNIMOR

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/jpm.v7i1.9591

Abstract

This study explored the differences in undergraduate students' concept images related to angles formed by a transversal intersecting any two lines compared with concept definition. Using diagnostic tests and interviews, the qualitative study with phenomenological design examined various student representations and common error patterns.  Students' answers were analyzed qualitatively to identify patterns, misconceptions, and variations in their concept images, followed by semi-structured interviews to explore their justifications. Participants were 35 second-semester students from the mathematics education study program at a state university in Aceh, Indonesia, who had completed the plane geometry course. The findings revealed significant variations in students' concept images, which were: (1) pairs of alternate interior/exterior angles, corresponding angles, and same-side interior/exterior angles were formed when two parallel lines were intersected by a transversal; (2) the measure of corresponding angles must be equal; (3) the measure of alternate interior angles must be equal; (4) the measure of alternate exterior angles must be equal; (5) the measure of same-side interior angles must be equal; and (6) misunderstanding and incorrectly identifying alternate exterior angles. These results highlight the importance of adapting teaching approaches to address differences in concept images and to better support students in mastering geometric concepts.  The novelty lies in its use of the Zone of Concept Image Differences to analyze the gap between students' concept images and formal definitions, offering insights into how to bridge these gaps in teaching.
Co-Authors A.A. Ketut Agung Cahyawan W ABDUL MUJIB Abdul Mujib Aflich Yusnita Fitrianna Agung Wicaksono Ahmad Arifuddin Ahmad Nizar Rangkuti Ahmad Tafsir Ahmad Tafsir, Ahmad Ahmad Zulfa Khotimi Ahmatika, Deti Aiyub Aiyub Alfitri, Putri Armania Agustina Alman Alman Alman Alman, Alman Aneu Pebrianti Anwar, Agus Saeful Asep Syarif Hidayat Asfar, A.M.Irfan Taufan Asfar, Andi Muhamad Iqbal Akbar Aswin Aswin Atep Sujana Augie, Kintan Tyara Bambang Eko Susilo Bambang Hariyomurti Bariyah, Nusrotul Cece Kustiawan Cecep Anwar Hadi Firdos Santosa Cecep Anwar Santosa Dadan Dasari Dadan Hermawan, Dadan Dadang Juandi Darhim Darhim Dela Ambarwati Dian Cahyawati Dian Nopiyani Dian Usdiyana Didi Suryadi Didi Suryadi Didi Suryadi Dilham Fardian Doni, Petrus Kanisius Nama Edi Irawan Ejen Jenal Mutaqin Eka Novarina EKO YULIANTO Eko Yulianto Eko Yulianto Elah Nurlaelah Elizanti, Desi Encum Sumiaty, Encum Endang Cahya Mulyaning A. Eyus Sudihartinih Fardian, Dilham Fathiyah, Ifa Fatimah, Siti Febriani, Winarti Dwi Fitri Ayu Febrianti Fitriana Lestari Fitriani Fitriani Fujiarti, Ari Ginda M.A.Siregar Gita Rani Putri Mangiri Gumpita, Melly Terry Gunadi, Farid Hadi Haeruddin, Haeruddin Hani Nurhasanah Hayuningrat, Silfia Herizal Herizal Hutkemri Zulnaidi Iden Rainal Ihsan Ifa Fathiyah Inayah, Sarah Indiana Marethi Indiana Marethi, Indiana Indra Nurhidayat Irena Puji Luritawaty Istikomah, Endang Itoh Masitoh, Itoh Jarnawi Afgani Dahlan Jozua Sabandar Jurpri, Al Jusniani, Nia Kartika Yulianti Kholipah, Nuzuliah Khotimah, Wonadesma Dwi Kintan Tyara Augie Kurniati, Nurdiyah Laelasari Laelasari, Laelasari Lina Siti Nurwahidah Lukman Lukman M Akbar Gulvara Mangiri, Gita Rani Putri Masitoh, Lisda Fitriana May Nisa Istiqomah Mefiana, Syifa Ananda Meicindy Jeny Klorina Meilani, Rini Melani, Rini Mimi Hariyani Mohamad Gilar Jatisunda Mustika Fauziah, Hilma Nabila Cynthia Rayhan Nadya Syifa Utami Nanang Priatna Nandang Arif Saefuloh Nazla Nurul Aulia Panggabean Nelvita Febrina Hasan ningrum, yunia jumita Nopiyani, Dian Nopiyani, Dian Novi Andri Nurcahyono Nuaini, Intan Nuke Fitri Yanuari Nur Qamariah Nurannisa, Andi Nurdiyah Kurniati Permani, Kania Dewi Pertiwi, Saffanah PRASETYAWAN, ENGGAR Prihandhika, Aditya Putri, Amelia Defrianti Raisya Hizkiya Syabina Rama Nida Siregar Rama Nida Siregar Ramli Ramli Rani Sugiarni Rini Sulastri Riny Arviana Riza Fatimah Zahrah Rizky Rosjanuardi Rohimah, Siti Maryam Rosmayasari Rosmayasari Rosmayasari, Rosmayasari Saefuloh, Nandang Arif Saefuloh, Nandang Arif Samosir, Christina Monika Sandra Sukmaning Adji Santi, Eneng Sanusi Sanusi Saputra, Samnur Sarassanti, Yumi Sarnav Ituga, Almuhaimin Sendi Ramdhani Septian, Ari Simanjuntak, Sinitta Marito Siregar, Rama Nida Sitanggang, Damra Ali Siti Fatimah Sofa, Rostika Nurlaela Nova Maya Suhendra, S Sukma Murni Sukri Sukri suparni Syamsuri Syamsuri Syarifah, Mufarrahatus Syifa Ananda Mefiana Tata Frarisia Tatang Herman, Tatang Tin Lam, Toh Trisna Nugraha Trisnowali MS, Andi Turmudi Umbara, Uba Umbara, Uba Usep Kosasih Utami, Nadya Syifa Wafa Islamiyah Wahyu Hidayat Wahyu Sopandi Wahyudin Wahyudin Wahyudin Wahyudin Wahyudin Wahyudin Wahyudin Wardani, Ambarsari Kusuma Wenda Alifulloh Widdy Sukma Nugraha Yasin, Muhamad Yaya S. Kusumah Yeni Dwi Kurino Yeni dwi Kurino