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All Journal Jurnal Pendidikan Matematika dan IPA Jurnal Infinity Kreano, Jurnal Matematika Kreatif-Inovatif Rekayasa: Jurnal Penerapan Teknologi dan Pembelajaran AlphaMath: Journal of Mathematics Education Journal of Research and Advances in Mathematics Education Educational Management PRISMA JIPI (Jurnal Ilmiah Penelitian dan Pembelajaran Informatika) Unnes Journal of Mathematics Education Research Journal of Primary Education Jurnal Pendidikan Edutama ANARGYA: Jurnal Ilmiah Pendidikan Matematika Vygotsky: Jurnal Pendidikan Matematika dan Matematika Jurnal Pendidikan dan Konseling JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) Edunesia : jurnal Ilmiah Pendidikan Jurnal Math-UMB.EDU Mosharafa: Jurnal Pendidikan Matematika Journal Evaluation in Education (JEE) INTERNATIONAL JOURNAL OF EDUCATION, INFORMATION TECHNOLOGY, AND OTHERS Unnes Journal of Mathematics Education Jurnal Didactical Mathematics Prosiding Seminar Nasional Pascasarjana Proceeding of International Conference on Science, Education, and Technology Seminar Nasional Hasil Penelitian LP2M UNM Journal of Innovative and Creativity JRAMathEdu (Journal of Research and Advances in Mathematics Education) Jurnal Infinity Jurnal Abdimas Jurnal Pendidikan MIPA Jurnal Pendidikan Progresif Himpunan: Jurnal Ilmiah Mahasiswa Pendidikan Matematika Edumaspul: Jurnal Pendidikan Jurnal Didaktik Matematika
Wardono Wardono
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Religion Agriculture, Biological Sciences & Forestry Arts Humanities Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Dentistry Economics, Econometrics & Finance Education Energy Engineering Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Medicine & Pharmacology Physics Public Health Social Sciences Other

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Exploring the Gap: Creative Mathematical Reasoning of Pre-service Teachers in Solving Multiple Solution Analytical Geometry Tasks Muhammad Iqbal Harisuddin; Wardono Wardono; Adi Nur Cahyono; Riyan Hidayat; Zaenuri Zaenuri; Yohanes Leonardus Sukestiyarno; Stevanus Budi Waluya
Jurnal Pendidikan MIPA Vol 27, No 1 (2026): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v27i1.pp39-62

Abstract

With the rapid changes in the times, the emphasis in education has also shifted, from equipping students with highly codified knowledge to developing routine skills to empower them to face and overcome complex and non-routine cognitive challenges. Students must be able to think flexibly and creatively when asked to solve problems for which they do not yet have strategies. The purpose of this study was to describe the creative mathematical reasoning (CMR) abilities of students in solving multiple solution tasks (MSTs) in analytical geometry problems. The CMR indicators in this study were novelty, plausibility, and mathematical foundation. The research used a qualitative descriptive design, describing how students' CMR abilities and their own abilities in solving MSTs questions. The subjects of this study were second-semester students in the mathematics education program at a university in Subang in the 2024/2025 academic year. The subjects were given MSTs questions, grouped into high, medium, and low groups based on their scores. Then, two participants were selected from each group. The criteria for selecting research subjects were: fulfilling the CMR ability aspect; being able to solve several MSTs questions to assess novelty, plausibility, and mathematical foundation, including the stages of initiating reasoning, developing reasoning (incubation, illumination), verifying reasoning, and justifying reasoning; and being able to communicate well. The research subjects were divided into three groups based on the MSTs' question scores: high, medium, and low.  The results of the study illustrate that students' mathematical creative reasoning abilities in solving MSTs questions are not optimal, as reflected in the solutions they provide. Therefore, to optimize students' CMR abilities, assignments should combine question types and use interactive, practical, relevant, comfortable, and connected learning models. For example, project-based or technology-based learning models. Keywords: analytical geometry, creative reasoning, multiple solution tasks.
Co-Authors A.D. Parjayanti Adi Nur Cahyo Adi Nur Cahyono Adi Nur Cahyono Afit Istiandaru, Afit Agung Firmansyah agung setiawan Ahadi, Faiz Al Ali Shodiqin Ali Wardana Amalliyah, Nor Amin Suyitno Andi Saparuddin Nur Andi Saparuddin Nur Anggoro, Abdurrobbil Falaq Dwi Ani Rusilowati Annisa Indrawati, Fiqi Ardhi Prabowo Arief Agoestanto Arif Rahman Hakim Ary Woro Kurniasih Asani, Fityan Asih, Tri Sri Noor Asmara, Maharani Atmaja, Satriya Adika Arif Aulia Hurul Aini Azmi, Anisa Luthifa Bambang Eko Susilo Bayu Murti Suryonegoro Budi Waluya Cahyo, Adi Nur Dani Kusuma Daniel Happy Putra Danieryanto, Erlia Dewi Fitriana Dewi Mashitoh, Nur Livia Dianawati, Rizki Nur Dr. Masrukan, Dr. Dwi Erna Novianti Dwijanto Dwijanto, Dwijanto Dyah Rini Indriyanti Ela Suryani Elis Fitria Herliani Emi Pujiastuti Endang Retno Winarti Faozi, Rizal Farida Nursyahidah Fathurrohman, Fani Laffanillah Febrian, Dheny Wawan Fitrianto Eko Subekti Gunawan Gunawan Harwanti, Nur Achmey Selgi Hidayat, Yodie Nur Hidayati, Nita Hilda Arifani, Hilda Ifan Badra Wijaya Iqbal Kharisudin Ismail, Aldiansyah Isnaini Rosyida Isnaini Rosyida, Isnaini Isnarto Isnarto Isnarto, Isnarto Isnarto, Isnarto Iwan Junaedi Iwan junaedi Jannah, Reni Roikhatul Jerau, Emiliana Elsa Kartono , Khomsatun Dwi Nurhayati Kristina Wijayanti Kustiono Kustiono Kusuma, Bagus Jati Kusumawardani, Indah Ayu Kuswidyanarko, Arief Madyaratri, Dewi Yanwari Maemonah, Maemonah Masrukan Masrukan Mohammad Asikin Muhammad Iqbal Harisuddin Mulyono Mulyono Mulyono Mulyono Mulyono Mulyono Mulyono Nafisah, Haifa Nino Adhi, Nuriana Rachmani Dewi Nur Livia D Mashitoh Nuriana Rachmani Dewi Nurkaromah Dwidayati, Nurkaromah Nursiwi Nugraheni Oktaristanti, Widi Pratiwi Pamungkas, Reki Gilang Pertiwi, Rizki Dian Prabowo, Ardi Prihantoro, Irfan Fajar Priyonggo, Hendi Widi Puput Suriyah Putri, Marshanda Antika Putriaji Hendikawati Rahayuningsih, Rista Tri Rahmah Rahmah Rahmawati, Rofiqo Reni Roikhatul Jannah Ri'ah Nurhayati Riyan Hidayat Riyan Hidayat Riyanto Riyanto Rochmad - Rochmad Rochmad Rosita, Anik Sa'diyah, Ummi Khalimatus Saefurrochman, Wisatsana Roychan Saiful Ridlo Sakinah, Zidna Nurus Scolastika Mariani SETYANINGSIH, HESTI Sri Haryani St. Budi Waluya Subarkah, Muhamad Rizki Sugianto - Sugiman Sugiman Sukestiyarno Sukestiyarno Sukestiyarno, YL. Supriyono Supriyono Suryati Suryati Suryonegoro, Bayu Murti Tommy Tanu Wijaya Tri Wahyuningsih Umami, Nafisatun Uswatun Hasanah Utami, Ulfany Fitri Vita Istihapsari, Vita Wahyu Ridlo Purwanto Wahyuningtyas, Ratna Walid Walid, Walid Wesna, Merry Wicaksana, Yoga Widi Pratiwi Oktaristanti Widyaswara, Ikha Brillyani Wigati, Trinil Wijaya, Ifan Badra Winardi Winardi Windarti, Desti Hana Y.L. Sukestiyarno Yanto, Muhammad Dwi YL Sukestiyarno YL. Sukestiyarno Yohanes Leonardus Sukestiyarno Yoni Sunaryo Zaenal Abidin Zaenuri Mastur Zaenuri Zaenuri Zahra, Mega Dea