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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 Aan Subhan P Adirakasiwi, Alpha Aflich Yusnita Fitrianna Agna Ilma Taofik Agustyani, Anggit Reviana Dewi Aisyah Rahmayantri Akash Satish Kumar Alfi Syahraini Al’atif, Afroh Mahfudoh Anggareni, Peni Arif Muchyidin Atika Defita Sari Atiyah, Khairini Aulia Adytia Putri Avip Priatna, Bambang Avip, Bambang Balkist, Pujia Bambang Avip Bambang Avip Priatna Martadiputra cakrawala Benny Wahyudi Bustaren, Bill Chairy Rizki Dadan Dasari Dadang Juandi Dadang Juandi Darhim Darhim Dendy Maulana Gusmawan Dewi Ranti Diana Ayu Wulandari Didi Suryadi Dita Oktavihari EfridaMuchlis, Effie Enjun Junaeti Fadilla Hidayatulloh, Natasya Fajriyati, Shanti Nur Fatimah, Siti Fatmiyati, Novita Fauziyyah, Farah Fitria Nurulaeni Fitria, Wenny Gusmawan, Dendy Maulana Hanifa Dina Aulia Dewi Umbara Hastri Rosiyanti, Hastri Herizal Herizal Husni, Niakmatul Iffa Hanifah Rahman Iik Nurhikmayati, Iik Indriani, Ulfa Dwi IYAM MARYATI Iyam Maryati Jarnawi Afgani Dahlan Junaeti, Enjun Kadarisma, Gida Kadir, Kamaliyah Karina Yulianti Kartika Yulianti Kertayasa, I Ketut Khairini Atiyah Khairunnisa Khairunnisa Kintan Tyara Augie Kumar, Akash Satish Kusnandi Kusnandi Kusnandi, Kusnandi Laia, Harun Onesimus Laila, Alya Nur Najmi Laili Rahmawati Lethulur, Nelma Dortje Lina Nurhayati Lorenzia, Silviana Ayu Lutfi, Jasmine Salsabila M Fikri Hamdani M., Bambang Avip Priatna Marpaung, Cichi Farhan Syahmar Minasyan, Sona Muchamad Subali Noto Muchlis, Effie Efrida Muchlis, Effie Efrida Muchyidin, Arif Muhaimin, Lukman Hakim Mulyati Mustika Sari, Rika Mursidah, Mursidah N. Nurjanah Nadya Syifa Utami Nasir, Norma Nurdiyah Kurniati Nurjanah Nurjanah, Nurjanah Nurmala Setianing Putri Nurwita, Faizah Oktavihari, Dita Pahmi, Samsul Pieter Zakarias Tupamahu Puteri, Alycia Rahmah Kamilah Putri Wahyuni Putri, Aulia Adytia Raisatunnisa Ratu Sarah Fauziah Iskandar Rika Mulyati Mustika Sari Rivani Adistia Dewi Rizky Rosjanuardi Rudi Susilana, Rudi Rusman Saleh Nugraha Haryadin Saputra, Andari Saputra, Andari Sholikhakh, Rizqi Amaliyakh Sholikhakh Siti Fatimah Sitti Nur Astuti S. Sufyani Prabawanto, Sufyani Sugama Maskar Sugiman Sugiman Suhendra Suhendra Suhendra, S Sukma, Yovika Sumanang Muhtar Gozali Sumaryanta Sumaryanta Susilawati, Intan Syafdi Maizora Syahbudin, Fauzan Syifa Mardliyah Taofik, Agna Ilma Tatang Herman, Tatang TATI NURHAYATI Turmudi Ulfa, Nadia Vipi Alvyanita Wenny Fitria Yaya S. Kusumah Yaya Sukjaya Kusumah Yovika Sukma Yulianti, Karina Z, Yulia Rahmawati