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MAPPING RESEARCH ON ABSTRACT ALGEBRA LEARNING; A BIBLIOMETRIC STUDY Rindi Antika; Turmudi; Rizky Rosjanuardi; Endang Cahya Mulyaning Asih
ALGORITMA: Journal of Mathematics Education Vol. 8 No. 1 (2026): ALGORITMA: Journal Of Mathematics Education
Publisher : Faculty of Educational sciences, UIN Syarif Hidayatullah Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15408/ajme.v8i1.50754

Abstract

Abstract Abstract algebra plays a crucial role in undergraduate mathematics education by fostering axiomatic reasoning, structural thinking, and formal proof construction. Comprehensive mappings of the field remain limited. This study aims to identify global research trends in abstract algebra learning through a bibliometric analysis of 75 Scopus-indexed publications published between 1973 and 2025. Using Biblioshiny in R, the analysis examined publication growth, influential sources, authorship patterns, geographical distribution, citation impact, and thematic structures. The results indicate a substantial increase in research activity, particularly after 2010, with strong contributions from mathematics education journals and research communities in the United States and Europe. Thematic analysis reveals that group theory, instructional approaches, and mathematics education are the dominant topics, whereas issues related to epistemological transitions and learning obstacles remain underexplored. These findings provide an overview of the development of abstract algebra learning research and highlight opportunities for future design-based studies aimed at addressing learning obstacles in advanced mathematics education. Abstrak Aljabar abstrak merupakan mata kuliah penting dalam pendidikan matematika karena mengembangkan penalaran aksiomatis, pemikiran struktural, dan kemampuan pembuktian formal. Kajian yang memetakan perkembangan bidang ini secara komprehensif masih terbatas. Penelitian ini bertujuan menganalisis tren penelitian global tentang pembelajaran aljabar abstrak melalui studi bibliometrik terhadap 75 publikasi terindeks Scopus periode 1973–2025. Analisis dilakukan menggunakan Biblioshiny pada perangkat lunak R untuk mengkaji pertumbuhan publikasi, sumber yang berpengaruh, pola kepenulisan, distribusi geografis, dampak sitasi, dan struktur tematik penelitian. Hasil menunjukkan peningkatan publikasi yang signifikan, terutama setelah 2010, dengan kontribusi dominan dari jurnal pendidikan matematika serta peneliti di Amerika Serikat dan Eropa. Analisis tematik mengungkap dominasi topik teori grup, pendekatan pembelajaran, dan pendidikan matematika, sementara isu transisi epistemologis dan learning obstacles masih relatif kurang diteliti. Temuan ini memberikan gambaran perkembangan bidang serta mengidentifikasi peluang penelitian lanjutan untuk mengatasi hambatan belajar pada pembelajaran matematika tingkat lanjut.
Understanding variations in elementary students’ mathematical problem-solving ability across gender and residential contexts Eli Latipah; Turmudi; Sandi Budi Irawan
Journal of Advanced Sciences and Mathematics Education Vol. 6 No. 3 (2026): Journal of Advanced Sciences and Mathematics Education
Publisher : CV. FOUNDAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/jasme.v6i3.1419

Abstract

Background: Mathematical problem-solving ability is a fundamental competency in elementary mathematics education because it supports conceptual understanding, reasoning, and higher-order thinking. However, evidence regarding how gender and residential context contribute to variations in students’ problem-solving performance remains limited. Aims: This study examines variations in elementary students’ mathematical problem-solving ability across gender and residential contexts to provide empirical evidence for developing more equitable and responsive mathematics instruction. Methods: A quantitative ex post facto design was employed involving 116 fifth-grade students from three elementary schools in Cigedug Subdistrict, Indonesia. Students’ mathematical problem-solving ability was assessed using a Polya-based test encompassing four stages: understanding the problem, devising a plan, carrying out the plan, and looking back. Data were analyzed using descriptive statistics, Mann–Whitney U tests, Spearman’s rho correlation, and nonparametric effect size analysis. Results: Students demonstrated stronger performance in devising and carrying out solution plans than in understanding problems and reviewing solutions. Significant differences were identified only across residential contexts for problem understanding and looking back (p < 0.001), whereas no significant gender-based differences were observed (p > 0.05). Effect size analysis indicated that both factors had negligible practical influence on overall problem-solving ability. Conclusion: Variations in mathematical problem-solving ability are more evident across Polya’s problem-solving stages than across gender or residential contexts. Mathematics instruction should therefore prioritize strengthening conceptual understanding and reflective evaluation to improve students’ comprehensive problem-solving competence.
Project-based STEM learning through vertical garden design: Enhancing elementary students’ numeracy and mathematical problem-solving Cucu Maryam; Turmudi; Sandi Budi Iriawan
Journal of Advanced Sciences and Mathematics Education Vol. 6 No. 3 (2026): Journal of Advanced Sciences and Mathematics Education
Publisher : CV. FOUNDAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/jasme.v6i3.1420

Abstract

Background: The persistently low numeracy performance of Indonesian elementary students, as indicated by the PISA 2022 results and the national Education Report Card, highlights the need for contextual mathematics instruction that connects mathematical concepts with authentic learning experiences. Aims: This study investigated the effectiveness of project-based STEM learning through vertical garden design in enhancing fifth-grade students’ numeracy and mathematical problem-solving compared with the Direct Instruction model. Method: A quasi-experimental study employing a nonequivalent control group design was conducted with 46 fifth-grade students, comprising an experimental group (n = 23) and a control group (n = 23). Data were collected using validated and reliable numeracy and mathematical problem-solving tests and analyzed through descriptive statistics, normalized gain (N-Gain), paired-sample t-test, Wilcoxon signed-rank test, independent-sample t-test, and Cohen’s effect size. Results: Project-based STEM learning significantly improved students’ numeracy (p < 0.001) and mathematical problem-solving (p < 0.001). The experimental group achieved significantly greater numeracy improvement (N-Gain = 0.68) than the control group (N-Gain = 0.52), with a large effect size (d = 0.914). In contrast, no significant between-group difference was found in mathematical problem-solving improvement (p = 0.428; d = 0.236), likely due to a ceiling effect. Conclusion: Project-based STEM learning through vertical garden design effectively enhances elementary students’ numeracy and mathematical problem-solving. Its strongest contribution lies in improving contextual numeracy, while its comparative advantage over Direct Instruction depends on the specific mathematical competency being developed.
Co-Authors A, Abdul Wahab Aan Subhan P Abdul Fatah Abdul Latip Abdul Latip Abdul Wahab A Abdussakir Abdussakir Adawia, Aida Agus Muharram Agus Mukti Wibowo Agusfianuddin Agusfianuddin Agusfianuddin, Agusfianuddin Ahmad Arifuddin Ahmad Dzulfikar Ahmad Dzulfikar Ahmad Rizal Jalaludin Ahmad Rizal Jalaludin Al Jupri Al Jupri, Al Jupri Alfaridzi, Tegar Alman alman Ambar Gini Permatasari Ambar Gini Permatasari Amelia Defrianti Putri Amelia Defrianti Putri Andhin Dyas Fitriani Aneu Pebrianti Anggi Lestari Purnama Ani Rosidah Anwar Aprianto Abdurahman Aras, Irianto Arie Dharmawan Arie Dharmawan Arie Rakhmat Riyadi Arifin Riadi Arifin Riadi Arifin Riadi Aris Hadiyan Wijaksana Aris Hadiyan Wijaksana Armeyntan, Tata Sutrafia Asep Safaat Asep Syarif Hidayat Asep Syarif Hidayatullah Asnawi, Muhammad Hasan Aufia, Zulfatul Avip Priatna Martadiputra, Bambang Aya Shofia Maulida Ayu Fitri Ayunda Sri Wahyuningrum Azhari, Mohamed Nor Azhari Azman Azzumar, Fuji Badrus, Badrus bambang avip Priatna Bambang Avip Priatna Martadiputra cakrawala Bambang Hero Saharjo Baskoro, Jarot Aji Belinda Terlouw Boedi Tjahjono Buhaerah Buhaerah Buhaerah Buhaerah, Buhaerah Cahya Karisma Pertiwi Cahya Karisma Pertiwi Cahyanti, Niken Dwi Cucu Maryam Dadan Dasari Dadan Rahmat Dadan Rusdiana Saputra Dadan Rusdiana Saputra Dadang Juandi Dadang Juandi Dadang Juandi Dadang Juandi Dadang Juandi, Dadang Juandi Darhim Darhim Dasim Budimansyah Dasim Budimansyah Dasim Budimansyah, Prayoga Bestari, Redi Yamanto, Dasim Budimansyah, Deby Ifevayona Ginting Dewi, Rivani Adistia Dian Nopiyani Dian Robiatussa’diyah Diana, Nana Didi Suhaedi Didi Suryadi Didi Suryadi Didi Suryadi Dilham Fardian Dinantika, Tutus Dini Febriani Diski Novianda Diya, Hakimatul Maulidiyah E. Nurlaelah Edi Irawan Edi Irawan Edi Supriyadi Efrata Gee Ejen Jenal Mutaqin Ekasatya Aldila Afriansyah Elah Nurlaelah Elah Nurlaelah Eli Latipah Elly Susanti Elmawati, Elmawati Elvandri Yogi Pratama Endang Cahya Mulyaning A. Endang Mulyana Ernawulan Syaodih Esti Harini Evawati Alisah Eyus Sudihartinih Fadhil Zil Ikram Fahrudin Fahrudin Farida Daniel Febriandi, Riduan Febriandi Febriani, Winarti Dwi Ferlia Putri Rahmania Firda Fauziah Fita Nur Fitriana Fitria Sulistyowati Fitriyani, Harina Freddy Prasetyo Fuadiah, Nyiayu Fahriza Gee, Efrata Gita Yulia Dewi H N Fitriani Haerani, Agus Hafiziani Eka Putri, Hafiziani Eka Hamdan Sugilar Hani Nurhasanah Hania Rahmah Harahap, Putri Ardhanita Harina Fitriyani Haryanti, Yuyun Dwi Hasanah, Nur Riski Hasti Robiasih Hastri Rosiyanti, Hastri Hayani Wulandari, Hayani Hayatun Nufus Hendrayati, Wida Sri Hendriyanto, Agus Herli Salim Herman, Tatang Hesty Marwani Siregar Hesty Marwani Siregar Hidayat, Abas Huda, Nur Fuad Kholiqul Hudali, Ahmad I Nyoman Bagus Pramartha Idat Muqodas Ika Fitri Apriani Ilham Muhammad Imam Sujarwo Indra Suhendra Indriati, Mefa Inggrid Marlissa Intan Nurunnahar Irianto Aras Irianto Aras Irmadi Nahib Ismail, Mochamad Tubagus Isnawan, Muhamad Galang Italyani Nurhaifa Jaka Suryanta Jamhari Jamhari Jannah, Shahnaz Latifatul Jarnawi Afgani Dahlan Jarnawi Jarnawi Joko Rizkie Widokarti Jozua Sabandar Jozua Sabandar Juhari Juhari, Juhari Kartika Yulianti Kasmad, Mamad Khabibur Rohman Khoiroh, Ihda Umdatul Khusnul Novianingsih Kisno Kurino, Yeni Dwi Kurnia Putri Sepdikasari Dirgantoro Kusnandi Kusnandi Kusnandi Kusnandi Kusnandi, Kusnandi Kusuma, Yaya S La Ode Maharudin Lilik Ariyanto LILIK BUDIPRASETYO Lucky Heriyanti Jufri, Lucky Heriyanti Lucy Dewan Yulianto Maarten Dolk Maarten Dolk, Maarten Magdalena Wangge Maghfiroh, Jamilatul Mahmudin Mahmudin Marasabessy, Rosida Marchy, Febrinna Marfuah Margaretha Madha Melissa Maulida, Aya Shofia Mawaddah Hamzah, Andi Mega Nur Prabawati Mega Nur Prabawati Mega Nur Prabawati, Mega Nur Meliala, Janita S Mhmd. Habibi MICHIEL DOORMAN, MICHIEL Minasyan, Sona Mohamed Nor Azhari Azman Azhari Mohammad Nadzir Azhari Mohammad Nafie Jauhari Mubiar Agustin Mufliva, Rosiana Muhamad Syahidul Qirom Muhammad Khudzaifah Muhammad Rifqi Mahmud Muhammad Tareq Ghifari Muhammad Tareq Ghifari Muhammad Zaki Muhammad, Iryana Mulyani, Andini Endah Sri mulyanti, Yanti Mulyanti Mustadin Mustadin Mutiara Arlisyah Putri Utami N Hidayah N. Nurjanah Nana Diana Nana Diana Nana Diana Nanang Priatna Naser, Abdurrahman do muhamad Nashiha, Maslahatun Naufal Ishartono Nazla Nurul Aulia Panggabean Nazla Nurul Aulia Panggabean Nelma Dortje Lethulur Neza Zakiya Arili Nia Fatmawati Nike Astiswijaya Nike Astiswijaya Nilah Karnilah Nineu Erwinda Agustin Nisful Laila Nopiyani, Dian Nopiyani, Dian Nora Susilowaty Nunung Nurjanah Nur Anisa Fitri Hasan Nur DS, Yulistina Nur Riski Hasanah Nurafni Nurdiansyah, Rikrik Nurhasanah Nurhasanah Nurjanah, Nurjanah Nuur Wachid Abdul Majid Oktriyanti, Dea Iintri Panjaitan, M. Azhari Pieter Zakarias Tupamahu Prabawanto, Sufiyani PRASETYAWAN, ENGGAR Pratiwi, Inne Marthyane Prida N. L. Taneo Puji Rahayu Puri Pramudiani Puri Pramudiani Purnamasari, Sinta Putri, Amelia Defrianti Qirom, Muhamad Syahidul Rachamwati, Andini Dwi Raden Nabilah Fahrani Radjak, Dwi Setiawati Rafi' Addani, Aisyah Rahmah, Hania Rahmat Riyadi, Arie Ramadhan Kurnia Habibie Rani Sugiarni Ratni Purwasih Ratni Purwasih Ratni Purwasih, Ratni Reza, Hazim Saputra Filia Ria Novia Agus Rifqi Hidayat Rifqi Hidayat, Rifqi Riki Andriatna Rina Heryani Rina Indriani Rina Indriani Rina Oktaviyanthi Rindi Antika Riska Nurhasanah Riska Nurhasanah Ritmayanti, Indah Rahmania Rivani Adistia Dewi Riza Fatimah Zahrah Rizki Amalia Rizky Rosjanuardi Roesdiana, Lessa Rohati Rohati Rohimah, Siti Maryam Rokhmah, Ummi Nur Rolina Amriyanti Ferita Rolina Amriyanti Ferita, Rolina Amriyanti Rusdian Rifai S Prabawanto Safarandes Asmara, Andes Saiman Saiman Sandi Budi Irawan Sandi Budi Iriawan Sandi Budi Iriawan Saputra, Dudu Suhandi Saputri, Veni Sari Herlina Selvi Amelia Rahmawati, Rr. shidieq, faris majdie Sinta Purnamasari Sinta Purnamasari, Sinta Siti Fatimah Siti Nur Fadlilah Sitti Busyrah Muchsin Somchai Watcharapunyawong Sona Minasyan Sovana Dwi Lestari Sri Adi Widodo Sri Adi Widodo Sri Harini Sri Lestari Munajati, Sri Lestari Stanley Pandu Dewanto Sufyani Prabawanto, Sufyani suhandri, suhandri Suhendra Suhendra Suhendra Suhendra Suhendra, S SUMADI SUMADI Sumanang Muhtar Gozali Sunata Sunata Supandi Suparman Suparman Suparman Suparman Suparman Suparman Supiarmo, M. Gunawan Supriatna, Irfan Supriatna, Tatang Surtiah Surtiah Surya, Yohanes Suryadi Suryadi Sutomo, Woro Anglia Banda Sutoyo, Edi Swasti Maharani, Swasti Syafitri, Yoesrina Novia Vini Syaiful . Syaiful Syaiful Tatang Herman tatang Herman Tatang Herman, Tatang Terlouw, Belinda Tia Purniati Trian Pamungkas Alamsyah Trisna Roy Pradipta, Trisna Roy Ulfa, Nadia Ummi Nur Rokhmah Unaenah, Een Utami, Lianni Gustia Vidanisa Nurkhotimah Virliani, Viera W Wahyudin Wafiyah, Amiroh Nur Wahab, Dewi Anita Silvina Wahyu Henky Irawan Wahyu Sopandi Wahyudin Wahyudin Wahyudin Wahyudin Wahyudin Wangge, Magdalena wawan kusmawan Widayanti Widayanti Widya Kusumaningsih Widya Kusumaningsih Wijaksana, Aris Hadiyan Wildan Hakim, Wildan Wina Mustikaati Wisnu Zakaria Woro Anglia Banda Sutomo Yani Supriani Yanti Mulyanti Yanuari, Nuke Fitri Yasing, Hakimee Yati Anggraeni Yatin Suwarno, Yatin Yaya Kusumah Yaya S Kusuma Yaya S. Kusumah Yaya Sukjaya Kusuma Yaya Sukjaya Kusumah Yeni dwi Kurino Yeni Dwi Kurino Yeni Dwi Kurino Yeni dwi Kurino Yonanda, Devi Afriyuni Yullys Helsa Yuni, Yatha Zakiya Aulia Ilma