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Journal : Jurnal Math-UMB.EDU

CONTROVERSIAL ISSUES TO IMPROVE STUDENTS' MATHEMATICAL REASONING AND CRITICAL THINKING: A SYSTEMATIC LITERATURE REVIEW: Bali, Indonesia Ida Ayu Putu Mahayani; I Gusti Ngurah Pujawan; I Putu Pasek Suryawan
Jurnal Math-UMB.EDU Vol. 13 No. 2 (2026): MARCH
Publisher : Universitas Muhammadiyah Bengkulu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36085/math-umb.edu.v13i2.9883

Abstract

The rapid development of education in the digital era and the Industrial Revolution 4.0 requires students to master higher-order thinking skills such as reasoning and critical thinking, which are essential for solving complex mathematical problems. This study aims to analyze and describe the role of controversial issues in developing students’ mathematical reasoning and critical thinking skills. The research employed a Systematic Literature Review (SLR) with a descriptive qualitative approach. Articles were selected through a systematic search of Google Scholar, ResearchGate, Scopus, ERIC, and Web of Science using keywords related to controversial issues, mathematical reasoning, and critical thinking. The inclusion criteria consisted of national journal and international journal articles published between 2020 and 2025, focusing on mathematics learning contexts and discussing the relationship between controversial issues and higher-order thinking skills. A total of twenty relevant articles were selected and analyzed thematically to identify patterns related to controversial mathematical problems, reasoning processes, and critical thinking development. The results indicate that the integration of controversial issues in mathematics learning can stimulate constructive cognitive conflict, argumentative discussion, and reflective thinking, which contribute to the improvement of students’ mathematical reasoning and critical thinking skills. Topics such as conceptual misconceptions, contextual mathematical problems, and socio-scientific issues encourage students to analyze information, evaluate arguments, and construct logical solutions. In addition, several studies highlight the important role of teachers in designing and facilitating controversial problem-based learning to optimize these cognitive processes. Overall, controversial issues provide an effective pedagogical approach for fostering reasoning, analytical thinking, and reflective judgment as essential competencies in 21st-century mathematics education. Keywords: Controversial Issues, Mathematical Reasoning, Critical Thinking.
DEEP LEARNING IN IMPROVING STUDENTS' MATHEMATICAL CRITICAL THINKING: A SYSTEMATIC LITERATURE REVIEW: Bali, Indonesia I Kadek Agus Prabawan Saputra; I Putu Pasek Suryawan; I Gusti Ngurah Pujawan
Jurnal Math-UMB.EDU Vol. 13 No. 2 (2026): MARCH
Publisher : Universitas Muhammadiyah Bengkulu

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36085/math-umb.edu.v13i2.9994

Abstract

Mathematical critical thinking skills are one of the essential competencies that students must have in 21st-century mathematics learning. However, learning practices in schools still tend to be oriented towards procedural mastery and formula memorization, so they are not optimal in developing students' higher-order thinking skills. One approach that is considered relevant to overcome this problem is deep learning, which emphasizes meaningful understanding, interrelationships between concepts, reflection, and the application of knowledge in real contexts. This study aims to analyze the implementation of deep learning in improving students' mathematical critical thinking skills. The research method used is a systematic literature review with a descriptive qualitative approach to relevant national articles. This study reviews 20 research articles obtained from the Google Scholar database with a publication range from 2025 to 2026. The results of the study show that deep learning is able to encourage students to analyze mathematical problems in depth, evaluate solution strategies, and construct logical mathematical arguments. Thus, deep learning has the potential to be an effective approach in improving the quality of mathematics learning.  Keywords: Deep Learning, Mathematics Learning, Mathematical Critical Thinking
Co-Authors ., I G. P. Habibi Mudi Sucipta ., I Gede Karya Danu Palguna ., I Nengah Adi Mahendra ., I Nyoman Mei Adi Shantiyana ., Kadek Eva Virga Yuni ., Made Dwi Savitri ., Ni Ketut Arum ., NI WAYAN SANJIWANI UTAMI ., Putu Wisma Artha Diputra A.A. I Ngurah Maya Pradnyani . Budayana, I Made Dharma Tari, I Dewa Ayu Eka Purba Divayana, Dewa Hendra Dr. I Made Sugiarta, M.Si. . Drs.Djoko Waluyo,M.Sc . Durasa, Helfra Fitrianiayuningsih, Niputu Bela Gede Suweken Gusti Ayu Mahayukti Helfra Durasa I Dewa Gede Agung Pratama Putra . I Dewa Gede Agung Pratama Putra ., I Dewa Gede Agung Pratama Putra I G. P. Habibi Mudi Sucipta . I Gede Karya Danu Palguna . I Gede Ratnaya I Gusti Bagus Gending . I Gusti Nyoman Yudi Hartawan I Gusti Nyoman Yudi Hartawan, S.Si . I Kadek Agus Prabawan Saputra I Komang Wahyu Wiguna I Made Ardana I Made Candiasa I Made Suarsana I Made Suarsana I made Yudi Suardi I Nengah Adi Mahendra . I Nyoman Jampel I Nyoman Mei Adi Shantiyana . I Nyoman Sukajaya I PUTU PASEK SURYAWAN I Putu Wisna Ariawan I Wayan Amperawan I Wayan Puja Astawa I Wayan Widiana Ida Ayu Dewi Wulandari Ida Ayu Dewi Wulandari Ida Ayu Putu Mahayani Ida Bagus Putrayasa Jayanta, Kadek Kadek Eva Virga Yuni . Kartini, Siluh Made Surya Komang Setemen Made Dwi Savitri . Made Juniantari, Made Mahayukti, Gst. Ayu Mardika Pranata, Kadek N. N. T Tesashogi Ni Kadek Santiyani Ni Ketut Arum . Ni Ketut Widiartini Ni Made Arri Sudani . Ni Made Arri Sudani ., Ni Made Arri Sudani Ni Made Sri Mertasari Ni Nyoman Parwati Ni Wayan Eka Sentana Wati . Ni Wayan Eka Sentana Wati ., Ni Wayan Eka Sentana Wati Ni Wayan Sanjiwani Utami . Niputu Bela Fitrianiayuningsih Nursuhaida, Muhammad Alwan Oktaviani, Ni Putu Ari Pramono, Campa Febriana Sanggra Prof. Dr.I Nengah Suparta,M.Si . Putu Wika Purwani . Putu Wika Purwani ., Putu Wika Purwani Putu Wisma Artha Diputra . Santiyani, Ni Kadek Sinurat, Frisillia Br Suardi, I made Yudi Suardika, I Made Dandi Tesashogi, N. N. T Wargina, I Made Wibawa, Nyoman Arda Widhiasih, I Dewa Ayu Gede Widhiasih, I Dewa Ayu Gede Widiastuti, Ni Putu Kusuma Wulandari, Ida Ayu Dewi Yudi Hartawan , I Gusti Nyoman