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Exploring Students’ Mathematical Reasoning Through Discovery Learning with Gamification Media on the Pythagorean Theorem Alfi Syahrin Siregar; Toto Nusantara; Erry Hidayanto
PRISMA Vol. 15 No. 1 (2026): PRISMA
Publisher : Universitas Suryakancana

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Reasoning is an important foundation in solving mathematical problems. Reasoning is a thinking process that allows students to understand concepts, connect ideas, and draw logical conclusions. This study aimed to explore students’ mathematical reasoning in Discovery Learning supported by gamification media on the Pythagorean Theorem. The study used a qualitative case study approach involving two eighth-grade students at a junior high school in Malang. Data were obtained through observation, interviews, and mathematical reasoning tests, then analyzed using the Miles and Huberman model. The findings revealed that Discovery Learning, supported by gamification media, created an interactive learning experience that enabled students to gradually explore concepts in context. High-ability students demonstrated strong reasoning skills, including analyzing problems, constructing arguments, applying inductive and deductive reasoning, making generalizations, and drawing conclusions. Low-ability students also showed improvement in several reasoning indicators, particularly in analyzing problems, applying deductive reasoning, and developing mathematical arguments during the learning process. Keywords: Reasoning, Discovery Learning, Gamification, Pythagorean Theorem
Analisis Dinamik pada Model Matematika Penyebaran Kekerasan Seksual dengan Pendekatan Rehabilitasi dewi, baiq indah rukmana; Nusantara, Toto; Hafiizh, Muchammad
Jurnal Matematika Integratif Vol 21, No 2: Oktober 2025
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v21.n2.66846.165-180

Abstract

Sexual violence is a serious issue occurring in various countries, necessitating special attention in its prevention and management. Mathematical modeling of sexual violence is crucial for understanding the dynamics of its spread and the impact of interventions on sexual violence cases. In this study, a four-dimensional nonlinear dynamic system model is used to analyze the stability of a sexual violence model considering the influence of rehabilitation. The basic reproduction number is calculated using the next-generation matrix method to estimate the potential spread of new cases caused by a single perpetrator in a vulnerable population. Analytically, there are two equilibrium points in the model: the sexual violence-free equilibrium point and the endemic sexual violence equilibrium point. Both equilibrium points are asymptotically stable, depending on the value of the basic reproduction number . The sexual violence-free equilibrium point is asymptotically stable under the condition , and the endemic sexual violence equilibrium point is asymptotically stable under the condition . Numerical simulations are conducted using the fourth-order Runge-Kutta method, implemented in MATLAB. The numerical simulation results also demonstrate that both equilibrium points exhibit the same stability properties based on the parameters used in this study.
Tantangan Membelajarkan Materi Ilmu Pengetahuan Sosial (IPS) di Sekolah Dasar: Systematic Literature Review (SLR) Khusnul Khotimah; Toto Nusantara; Aynin Mashfufah
Sekolah Dasar: Kajian Teori dan Praktik Pendidikan Vol. 33 No. 1 (2024)
Publisher : Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um009v33i12024p73-81

Abstract

Social studies subjects provide students with the chance to make them good citizens. However, teachers face challenges in teaching social studies materials in elementary school. To comprehensively find out the challenges in teaching social studies, the method used in this research is a literature study, with the stages of identification (344 articles), screening (78 articles), and inclusion (19 articles). The keywords used in data collection are challenges and difficulties in teaching social studies in elementary school. Based on the analysis of the articles, it was found that the challenges in teaching social studies materials in elementary schools include difficulties in integrating STEM subjects with social studies, limited time for social studies learning, lack of resources and access to information, lack of funding for facilities and infrastructure, inadequate evaluation and monitoring by the government, challenges for parents in supporting social studies learning, and limited socialization and guidance for teachers. Mata Pelajaran IPS memainkan peran penting dalam kurikulum SD, memberikan siswa landasan pengetahuan yang kuat tentang dunia di sekitar mereka dan menjadikannya sebagai warga negara yang baik. Namun demikian terdapat tantangan yang dihadapi oleh guru dalam membelajarkan materi IPS di SD. Untuk mengetahui secara komprehensif tantangan dalam membelajarkan IPS, metode yang digunakan dalam penelitian ini adalah studi literatur, dengan tahapan identifikasi (344 artikel), screening (78 artikel), dan inklusi (19 artikel). Kata kunci yang digunakan dalam pengumpulan data yaitu tantangan dalam membelajarkan IPS, kesulitan dalam membelajarkan IPS, dan pembelajaran IPS di SD. Berdasarkan analisis artikel diperoleh hasil bahwa tantangan dalam membelajarkan materi IPS di SD antara lain kesulitan dalam mengintegrasikan mata pelajaran STEM dengan IPS, terbatasnya waktu pembelajaran IPS, kurangnya sumber daya dan akses informasi, kurangnya dana sarana dan prasarana, tidak memadainya evaluasi dan monitoring oleh pemerintah, tantangan orang tua dalam mendukung pembelajaran IPS, serta terbatasnya sosialisasi dan bimbingan bagi guru.
The Implementation of Metacognitive Strategies in Elementary Mathematics Learning: A Systematic Literature Review Jauharul Hakim Rizqullah Yeza; Toto Nusantara; Sri Rahayuningsih; Radeni Sukma Indra Dewi; Ratna Ekawati
Sekolah Dasar: Kajian Teori dan Praktik Pendidikan Vol. 34 No. 2 (2025)
Publisher : Universitas Negeri Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um009v34i22025p217-233

Abstract

Abstract: Metacognitive strategies play a critical role in elementary mathematics education by enabling students to plan, monitor, and evaluate their thinking processes. This study conducts a Systematic Literature Review (SLR) to examine the effectiveness of these strategies in enhancing students’ conceptual understanding, motivation, and problem-solving abilities. Using the Publish or Perish application, 432 articles were initially identified from Scopus, Semantic Scholar, and Google Scholar. Based on established inclusion criteria such as publication type, indexing, language, and relevance, 16 studies were selected for in-depth analysis. The findings reveal that metacognitive strategies significantly improve students’ self-regulation, learning independence, and academic performance. However, their effectiveness varies depending on factors such as gender, self-efficacy, classroom environment, and access to technology. The study also highlights the essential role of teachers in modeling cognitive processes, offering feedback, and facilitating reflective learning. Compared to traditional memorization-based instruction, metacognitive approaches foster deeper understanding and cognitive flexibility. This review underscores the need for sustained teacher training and thoughtful technology integration to support effective implementation of metacognitive strategies in primary mathematics learning. Abstrak: Strategi metakognitif memainkan peran penting dalam pendidikan matematika dasar dengan memungkinkan siswa untuk merencanakan, memantau, dan mengevaluasi proses berpikir mereka. Studi ini melakukan tinjauan literatur sistematis (SLR) untuk mengkaji efektivitas strategi-strategi tersebut dalam meningkatkan pemahaman konseptual, motivasi, dan kemampuan pemecahan masalah siswa. Menggunakan aplikasi Publish or Perish, sejumlah 432 artikel diidentifikasi dari Scopus, Semantic Scholar, dan Google Scholar. Berdasarkan kriteria inklusi yang telah ditetapkan, seperti jenis publikasi, pengindeksan, bahasa, dan relevansi, 16 studi dipilih untuk analisis mendalam. Temuan menunjukkan bahwa strategi metakognitif secara signifikan meningkatkan kemampuan regulasi diri, kemandirian belajar, dan prestasi akademik siswa. Namun, efektivitasnya bervariasi tergantung pada faktor-faktor seperti jenis kelamin, kepercayaan diri, lingkungan kelas, dan akses terhadap teknologi. Studi ini juga menyoroti peran penting guru dalam mendemonstrasikan proses kognitif, memberikan umpan balik, dan memfasilitasi pembelajaran reflektif. Dibandingkan dengan pengajaran berbasis hafalan tradisional, pendekatan metakognitif mendorong pemahaman yang lebih dalam dan fleksibilitas kognitif. Tinjauan ini menekankan perlunya pelatihan guru yang berkelanjutan dan integrasi teknologi yang terencana untuk mendukung implementasi efektif strategi metakognitif dalam pembelajaran matematika di tingkat dasar.
Co-Authors Aba, Maria Martini Abadyo Abadyo Abdur Rahman As’ari Ade Eka Anggraini Adi Atmoko Adika Setyo Budi Lestari Ahmad Fathoni Abas Ahmad Hasan Saifurrisal Ahyani Mirah Liani ALFARIS, RENALDY Alfi Syahrin Siregar Alkans Sofyawati Sutrisno Andayani, Nita Dwi Andika Setyo Budi Lestari Anggraheni, Ika Anwar, Lathifatul Arfan Triwiratman Aynin Mashfufah Basuki Widodo Bayat, Palgunadi Abdulah Bayu Nugroho Bhakti Setya Budi Budi Sasomo, Budi Budi, Bhakti Setya Candra Utama Choerul Anwar, Choerul Cholis Sa’dijah Christi Matitaputty Christina Martha Laamena Chusnul Ma'rifah Devita Rizka Utami Dewi Astutik dewi, baiq indah rukmana Didimus Nuham, Didimus Dimas Galih Dwi Pangasta Dwi Agus Sudjimat Dwita Tyasti Asri Eddy Bambang Irawan Edy Bambang Irawan Elly's Mersina Mursidik Emanuel, Endrayana Putut Laksminto Emerensiana Nona Ana Erry Hidayanto Evi Lutviana Faizah, Hanim Faizah, Siti Faizatul Munawaroh Fatoni, Yusril Achmad Faula Rossydha Fitri Kumalasari Ghazali, Norliza HAFIIZH, MOCHAMMAD Hafiizh, Muchammad Harfin Lanya, Harfin Harsayandaru Himawan Hasanah, Muhammad Isnin Hassanah, Maulidatul Hery Susanto Hery Susanto I Made Sulandra I Nengah Parta Imanuel Hitipeuw Imro'atul Mubarokah Indah Sukowati Indrawatiningsih, Nonik Indriati Nurul Hidayah Intan Sari Rufiana Irianto, Savitri Oktavia Iska Agustina Jauharul Hakim Rizqullah Yeza K., Shirly Rizky Kadek Adi Wibawa Kamirsyah Wahyu Khairiyatun Nisak Dzikiyan Khoerul Umam khusnul khotimah Khusnul Khotimah Kristayulita Kristayulita Laelinatul Choeriyah Lely Purnawati Lestari, Andika Setyo Budi Lestari, Ayu Chinintya Lia Budi Tristanti Linarsih, Yanti Lingga Nico Pradana Lingga, Leny Julia Luthfiyah, Hullatul Makbul Muksar Mardhatillah Mardhatillah, Mardhatillah Masfufah, Aynin Masfufha, Aynin Mat, Hamidah Mauidah, Siti Maziidah, Zulfa Meliyana Raharjanti Meliyana Raharjanti, Meliyana Miswanto Miswanto Mohammad Dadan Sundawan Mohammad Imam Utoyo Mohammad Ridhoi Mohd Nasir, Farah Damia Mubarokah, Imro'atul Muhammad Amin Muhammad Irfan Muhammad Noor Kholid Muliana Sari Murpratiwi, Gendis Musar, Makbul Musnar Indra Daulay Nata Amanda Nazihah, Dia Ayu Ngesti, Nisaa Arta Ningtyas, Yoga Dwi Windy Kusuma Nuqthy Faiziyah Nurhaswinda Nurul Murtadho Nurul Subahtul Nuryanis, Nuryanis Oktaviani Adhi Suciptaningsih Oktoviana, Lucky Tri Olga Putriana Wati Parida Parida Patma Sopamena Pratiwi, Enditiyas Pratiwi, Nike PURNAMA, SIDIQ PUTRA Qohar, Abd. Radeni Sukma Indra Dewi Ratna Ekawati Ratnaningsih, Ari Juni Riska Pristiani Rohyatun Handayaningsih Rosevita Melati Ruli Andriani Rusdial Marta Rustanto Rahardi Saidah Ajilatun Nahdawiyah Saputri, Kiki Niken Sari, Noviana Puspita Satriya Adika Arif Atmaja Satriya Adika Arif Atmaja SATRIYAS ILYAS Savitri, Intan Carolina Septiadi, Dimas Danar Shirly Rizki Kusumaningrum Shofi Farihah Muazarah Sisworo Siti Faizah Siti Lailiyah Siti Salina Mustakim Slamet Slamet Arifin Slamet Arifin Slamet Arifin Sri Mulyati Sri Mulyati Sri Rahayuningsih Sri Suryanti Subanji Subanji Suci Yuniati Sudirman Sudirman Suhariningsih Sukoriyanto Sukoryanto Sukoryanto Sumianto Sumianto Susiswo Swasono Rahardjo Swasti Maharani Swasti Maharani Swasti Maharani Swastika, Galuh Tyasing Syaiful Hamzah Nasution Syarifatul Maf’ulah Tasni, Nurfaida Tjang Daniel Chandra Tri Kuncoro Trianingsih Eni Lestari Wangguway, Yustinus Wati, Pulia Widuri, Nabila Ekaputri Worowirastri E., Dyah Yahdillah, Nawal Yayuk Kuswanti Yenni Fitra Surya Yulia Primantari Yundari, Yundari Yuniartiningsih Yuniartiningsih Yusuf Hanafi Zayyadi, Moh Zulfah Zulfah Zuniga, Kristina