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Journal : Unnes Science Education Journal

The Effectiveness of Cramer’s Rule on the System of Linear Equations (LES) of 2-Loop Electrical Circuits in Improving Mathematical Thinking Ability and Learning Outcomes Supriadi, Bambang; Arsita, Maya; Ni’mah, Simatun; Wardhany, Merry Khanza Kusuma; Afidah, Zidan; Kinanti, Az Zahra Lintang
Unnes Science Education Journal Vol. 14 No. 1 (2025): April 2025
Publisher : Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/usej.v14i1.20515

Abstract

Mathematical thinking skills are high-level thinking competencies needed in the 21st century. Many physics problems are expressed in various forms of mathematical equations that require mathematical thinking skills. The low level of mathematical thinking has an impact on physics learning outcomes. Cramer’s rule is more attractive to students when solving the Linear Equation System (LES) than the substitution method or other methods. So this study aims to examine the effectiveness of Cramer’s rule on the system of linear equations of 2-loop electrical circuits as an alternative solution to problem solving. The research was conducted in the odd semester of 2024/2025 with research subjects as many as 44 students and 30 high school students in Jember using Pre-Experimental Design and One Group Pretest-Posttest form. The results showed the improvement of college students’ mathematical thinking skills in the high category for indicators of specializing (72.7%), generalizing (95.5%), and conjecturing (86.4%) while the convincing indicator was in the medium category (65.9%). The improvement of college student learning outcomes (79%) and high school students (81%) in the high category with a very positive response or 82.14%. So Cramer’s rule is effective in improving mathematical thinking skills and learning outcomes.
Co-Authors Abd. Syakur Abdillah, Ujang Fahmi Afidah, Zidan Ahadah, Salfa Zahroh Ainiyah, Ummi Zahrotul Ajeng Puspaningrum, Ajeng Al Bawani, Amar Ma’ruf Albertus D. Lesmono, Albertus Albertus Djoko Lesmono, Albertus Djoko Alfiaturrohmah, Helmi Alivia, Haniyah Alivia, Haniyah Amri, Hanif Al Andini Risfandini Anggraeni, Astri Widyaruli Anggraeni, Firdha Kusuma Ayu Anggraeni, Sisilia Nur Hikmah Ari Hermawan Arini Latifa, Arini Arsita, Maya Astuti, Widji Aziizi, Mohamad Kelvin Rikza Azis, Kharisma Rafian Baihaqi, Habibah Khusna Baihaqi Broto, Felik Sad Windu Wisnu Budiana, Santi Cahyono, Tomy Dwi Chandani, Erika Divian Dina Maharika Dwi Nurvita, Era Eka, Adinda Nina Ernasari, Ernasari Eviana Imaniarti, Eviana farika, naili Farittanti, Etika Fathorrosi, Mohammad Febriana Sukma, Annisa Futiharrohmah -, Futiharrohmah Ghausia, Anugerah Nurin Gunawan, Rachmat Hadiyanto Hadiyanto Hamdi, Muhammad Najih Handayani, Rifati Dina Handayani, Rif’ati Dina Hardoyo, Totok Harjianto, Alex Harjono Harjono Hayuningtyas, Sekargupita Herlina, Syalung Hermansyah, Moh Dimas Feri I Ketut Mahardika Ika Permatasari Istighfarini, Elma Tri Iswardani, Fadia Arisma Jannah, Ad'hani Miftachul Jatu Ridwan Pamungkas, Jatu Ridwan Junaidi, Mohamad Rifqi Kamalia, Diana Kasanah, Nur Khasanah, Umi Uswatun Kinanti, Az Zahra Lintang Krisnawanto, Eryna Dwicahyaning Kristiawan, Wendy Indra Kusumaningtyas, Nilam Cahya Lailatul Nuraini Laksana, Yosanta Ardhi Lioni Anka Monalisa, Lioni Anka Lubna Lubna Mahartika, Dina Mardhiana, Hana Maryani Maryani Mazidah, Ulfa Mulyowidodo, Heny Nafisah, Nisrina Najah, Sayyidatun Nasiroh, Chilwatun Nila Mutia Dewi Nisa, Rohmi Khoirun Ni’mah, Simatun Novitasari, Efi Nur Hikmah Anggraeni, Sisilia Nurroniah, Zhahrotun Nurul Fitria Pangesti, Dwi Pramudita, Anggi Diana Pramudya Dwi Aristya Putra Prastowo, Sri Handono Budi Prastowo, Srihandono Budi Pudjo Sugito, Pudjo Pujiningtyas, Emma Berliana Purwanti, Nurul Yunda Nanik Putri, Fidia Alhikmah Putri, Ulul Azmi Qanita Hukma Ash-Shaba R Siti Rukayah rahayu, eka citra Rahma, Nafilah Azaria Rahmadani, Novi Fitri Rahmat, Firdaus Nur Rahmawati, Evie Ratri, Wahyu Dianing Rayendra Wahyu Bachtiar Rif’ati Dina Handayani Rohman, M Fathor Rosediana, Risky Andayani Rosyidah, Nabila Ayu Sa'diyah, Halimatus Saifudin, Moh. Salma, Ro'idah Sani, Safina Aulia sanusi, Anwar Sari, Ike Kumala Sari, Novita Risna Sari, Puput Aprilia Eka Savana, Bunga Aurel Sa’diah, Aminatus Sholikhah, Siti Sigit Ashar Setyoaji, Sigit Ashar Singgih Bektiarso Siti Anisah Subiantoro, Edi Subiki Subiki Subiki, S Sudarti Sudarti Sunardi Sunardi Suprapto Siswosukarto Syamsuddinnor, S Thohir, Mohammad Anas Trapsilo Prihandono Tri Rahayu Tuasikal, Nur Risa Cahyana Ulfah, Ana Zuyyina Utami, Ngesti Wahyuningtyas Viki Nurbaiti Muswahida, Viki Nurbaiti Wahyudianti, Ratih Wahyudianti, Ratih Wakhidyah, sasti Handayani Wardana, Dion Candra Wardhany, Merry Khanza Kusuma Windasari, Nur Wulandari, Pria Nur Wulandari, Rike Dwi Yitno Puguh Martomo Yuli Kurniawati, Yuli Zahro, Rosa Fahriatuz Zannah, Hildatul