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The Geometry of Ijo Temple: Bridging Cultural Heritage and Mathematical Learning through Ethnomathematics Olly Orva Peggy Kim Carla; Naufal Ishartono; Rizky Oktaviana Eko Putri
Jurnal VARIDIKA Volume 36 No 2, December 2024
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/varidika.v36i2.7143

Abstract

This study explores the geometric concepts within the architecture of Ijo Temple, a significant cultural heritage site in Yogyakarta, Indonesia, through the ethnomathematics framework. Previous research has examined mathematical elements in various temples, but Ijo Temple's geometric aspects remain underexplored. Addressing this gap, the study employs an ethnographic approach to identify and analyze the temple's geometric principles, aiming to enhance mathematics education through culturally contextualized learning. Using qualitative methods, including observation, interviews, and documentation, the data were analyzed through reduction, presentation, and conclusion drawing, with findings validated by expert triangulation. The study identifies geometric sub-concepts such as planar geometry (triangles, rectangles, squares, trapezoids, circles), spatial geometry (cubes, rectangular prisms, cylinders), geometric transformations (translation, reflection, dilation), and congruence principles. The research underscores the potential of integrating cultural heritage into mathematical learning, promoting deeper engagement and understanding of mathematical concepts through the cultural context of Ijo Temple. This approach not only enriches mathematics education but also contributes to the preservation and appreciation of cultural heritage.
The Gamifying Cooperative Learning: The Impact of Team Games Tournament and Wordwall Media on Student Engagement in Elementary Science Education Dela Aprilia Damayanti; Pinasti Dwi Utami; Alfian Bayu Sutanto; Naufal Ishartono; Diana Novita Lestari
Jurnal VARIDIKA Volume 37 No 2, December 2025
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/varidika.v37i2.8986

Abstract

This study addresses the critical pedagogical challenge of low student engagement in learning the Natural and Social Sciences (NSS) topic, particularly manifested through passive participation and limited focus during collaborative activities. Employing a classroom action research framework across two iterative cycles – each comprising planning, implementation, observation, and reflective evaluation phases – the investigation examines the efficacy of combining the Team Games Tournament (TGT) cooperative learning model with interactive Wordwall media in revitalizing student participation. The research cohort consisted of 25 fourth-grade students at SD Negeri Pucangan 03, with data triangulated through systematic observation, semi-structured interviews, and documentary analysis. Initial baseline assessments revealed only 50% student engagement levels, highlighting the urgency for pedagogical intervention. Implementation of the TGT-Wordwall integration yielded substantial improvements, with engagement metrics rising to 74% in Cycle 1 and further escalating to 84% in Cycle 2, demonstrating consistent positive trajectory. The findings substantiate that gamified cooperative learning strategies effectively transform passive learners into active participants by leveraging competitive team dynamics coupled with digital interactivity. This pedagogical synergy not only enhanced immediate lesson engagement but also fostered sustained interest in the NSS curriculum. The study contributes to contemporary educational discourse by providing empirical evidence for technology-enhanced cooperative learning models in elementary STEM education, while offering a replicable framework for addressing engagement deficits in comparable contexts. Practical implications suggest the potential for broader application of integrated TGT-digital approaches across subject domains requiring high conceptual engagement and collaborative problem-solving competencies.
The Cultivating Ethical Communicators: Role-Playing as Character Education for Javanese Linguistic Etiquette Mastery Mahdum Wiraman; Pinkan Dwi Pravitasari; Faustine Fiona Eka Farah Dewi; Naufal Ishartono; Aris Sukoco
Jurnal VARIDIKA Volume 37 No 1, June 2025
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/varidika.v37i1.8987

Abstract

This study examines the effectiveness of role-playing pedagogy in enhancing Javanese language proficiency aligned with traditional etiquette principles among fifth-grade students at SD Negeri Pucangan 3. Recognizing that Javanese linguistic-cultural competence serves as both a character-building tool and a vehicle for cultural preservation, the research employed a two-cycle Classroom Action Research (CAR) methodology comprising planning, implementation, observation, and reflection phases. Twenty participants were assessed through performance-based observations using instruments adapted from established protocols, with data analyzed through reduction, systematic presentation, and cyclical interpretation. Initial assessments revealed only 37.5% mastery of etiquette-appropriate Javanese communication, evaluating four key linguistic dimensions: (1) conversational fluency in formal contexts, (2) grammatical accuracy of honorific structures, (3) phonological precision in stratified vocabulary, and (4) contextually appropriate lexico-cultural choices. Post-intervention results demonstrated significant improvement to 71.25% mastery, confirming role-playing's efficacy in developing both linguistic competence and cultural awareness. The findings highlight how experiential learning methods can effectively bridge the gap between language acquisition and cultural transmission, particularly in maintaining indigenous linguistic etiquette among younger generations. Furthermore, the study underscores the pedagogical value of integrating performance-based strategies into character education curricula, suggesting their potential application in other indigenous language preservation contexts. These results contribute to ongoing discussions about culturally responsive teaching methodologies while providing empirical evidence for role-playing as a mechanism for sustaining linguistic heritage and reinforcing the socio-cultural values embedded within stratified language systems like Javanese. The implications extend beyond language education, offering insights into innovative approaches for holistic character development through culturally grounded pedagogies.
PRESERVING HERITAGE THROUGH MATHEMATICS: AN ETHNOGRAPHIC EXPLORATION OF GEOMETRY PRINCIPLES IN BATIK CEPLOK SOGAN SOLO MOTIF Mahmudah, Mutiara Hisda; Sukowati, Berliani Ardelia; Ismiyati, Ismiyati; Ishartono, Naufal
JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) Vol 11, No 2 (2025)
Publisher : Universitas Bhinneka PGRI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29100/jp2m.v11i2.7720

Abstract

Batik Ceplok Sogan Solo is one of the traditional batik motifs that has a distinctive golden brown color produced from natural dye of soga tree bark (Peltophorum pterocarpum), but it is less known by the younger generation. Therefore, the integration of batik in mathematics learning is one of the strategies to introduce the batik culture. This research aims at mathematical concepts such as geometry, algebra, arithmetic, and statistics in solo ceplok sogan batik motifs. This research uses qualitative ethnography. The subject of this research is the Solo Ceplok Sogan batik motif. Data validity was obtained through source triangulation, while data analysis included reduction, presentation, and conclusion drawing. The exploration process was carried out by answering four main questions, namely “where do I start looking?”, “How do I find it?”, “How do I recognize that it has found something significant?”, and “How do I understand what it is?”. The results show that of the four math concepts, only one, geometry, was found in this batik. Sub-concepts of flat geometry (quadrilateral and circle), and sub-concepts of plane geometry (congruence and straight line segment), as well as sub-concepts of transformation geometry (dilation, reflection, and translation). These findings can be integrated into mathematics learning through the development of ethnomathematics-based assessments oriented towards High Order Thinking Skills.
Twenty Years of Multicultural Education Scholarship: Insights from the Journal for Multicultural Education and the Multicultural Education Technology Journal Prahmana, Rully Charitas Indra; Ishartono, Naufal; Ahyan, Shahibul
Jurnal VARIDIKA Volume 38 No 3, December 2026
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/varidika.v38i3.16131

Abstract

Despite the rapid growth of multicultural education research worldwide, systematic insights into how this field has evolved across major scholarly outlets over time remain limited. This study presents a literature review of twenty years of multicultural education scholarship published in two leading journals, the Multicultural Education Technology Journal and the Journal for Multicultural Education. Drawing on systematic content and narrative analysis of 521 Scopus-indexed articles, the review explores publication trends, author affiliations, thematic development, citation patterns, and keyword co-occurrence across two editorial phases. The findings reveal a clear shift from a technology-oriented focus (2007–2013) toward a broader and more interdisciplinary multicultural education agenda (2014–2025). Malaysia and the United States emerge as the most prolific contributors, while dominant research themes include inclusive education, teacher preparation, linguistic diversity, and culturally responsive pedagogy. Citation patterns suggest growing scholarly influence, including among early-career publications, alongside increasing international and interdisciplinary collaboration. Although the analysis is limited to Scopus-indexed sources, the findings provide valuable insights for scholars, editors, and policymakers seeking to strengthen equity-oriented educational research. Overall, this review contributes institutional knowledge on the evolution, internationalization, and educational impact of multicultural education research over the past two decades.
Decoding the Architectural Geometry of Plaosan Temple: An Ethnographic Exploration for Contextual Mathematics Education Michelia Putri, Karolyne; Ishartono, Naufal
Jurnal VARIDIKA Volume 38 No 3, December 2026
Publisher : Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/varidika.v38i3.16204

Abstract

Student Many ethnomathematical studies in Indonesia have explored mathematical concepts embedded in cultural products such as batik, traditional houses, and other temple architectures. However, there has been little to no research specifically investigating the geometric aspects of Plaosan Temple as a cultural heritage site. Therefore, the current study aims to explore the geometrical concepts embedded in Candi Plaosan using an ethnographic approach. The study used ethnography as an approach by answering four principal questions, namely, "Where do I start looking?", "how do I find it?", "how do I recognize that it has found something significant?", and "how to understand what it is?". By answering these questions, the researchers successfully examined the geometrical concepts contained in Plaosan Temple. This study reveals that the concepts embedded in Plaosan Temple are focused on the geometrical aspect, namely, (1) plane geometry such as squares, rectangles, rhombuses, right triangles, trapezoids, and circles; (2) solid geometry such as cubes, rectangular prisms, and triangular prisms; (3) geometric transformations such as dilation and reflection; and (4) symmetry, similarity, and congruence. The findings are expected to introduce Plaosan Temple to students through contextual mathematics learning while supporting its preservation as cultural heritage. Future studies may further examine the effectiveness of Plaosan Temple–based learning with GeoGebra in enhancing students’ understanding of geometry concepts.
PENGGUNAAN GRAF POHON DALAM MENGAJARKAN KONSEP MAHRAM Ishartono, Naufal
EDUKASIA Vol 14, No 2 (2019): EDUKASIA
Publisher : Program Studi Pendidikan Agama Islam

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21043/edukasia.v14i2.4575

Abstract

Munculnya berbagai kekerasan seksual yang terjadi di masyarakat yang disebabkan oleh orang terdekat, terutama dari lingkungan keluarga, memunculkan masalah pentingnya memahami masyarakat terhadap konsep mahram, sebuah konsep dalam ajaran Islam yang mengatur batasan seseorang untuk menikah atau menikahi seseorang berdasarkan nasab, saudara kandung, dan mushoharoh. Dengan memahami konsep itu, seorang Muslim akan tahu bagaimana harus bersikap dengan mahramnya dan bukan mahramnya. Oleh karena itu, penelitian ini bertujuan untuk menguji penggunaan grafik pohon dalam topik teori grafis untuk mempelajari konsep mahram yang terkandung dalam surah An Nisa ayat 23. Penelitian ini termasuk penelitian kualitatif analitik dengan menggunakan instrumen tes, kuesioner dan wawancara. Hasil penelitian ini menunjukkan bahwa penggunaan konsep grafik pohon dapat membantu seorang Muslim untuk belajar dan memahami konsep mahram dengan mudah. 
Kesalahan pengerjaan materi trigonometri berdasarkan Newman Error Analysis (NEA) ditinjau dari perbedaan gender Nia Qodr; Naufal Ishartono
Jurnal Penelitian Ilmu Pendidikan Vol. 15 No. 2 (2022): July–December
Publisher : Fakultas Ilmu Pendidikan, Universitas Negeri Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21831/jpipfip.v15i2.45017

Abstract

Telah banyak upaya penelitian yang mengkaji kesalahan siswa pada topik Trigonometri, namun masih sedikit hasil penelitian yang menganalisis kesalahan siswa SMK pada topik tersebut menggunakan teori Newman Error Analysis, khususnya ditinjau dari perspektif gender. Tujuan penelitian adalah untuk mengungkap kesalahan dan faktor apa saja yang dialami siswa dalam menjawab soal trigonometri. Guru juga dapat meminimalisir kesalahan yang sama dengan membantu mengurangi faktor penghambat belajar siswa. Analisis kesalahan mengacu pada teori Newman Error Analysis (NEA) yang dideskripsikan melalui metode kualitatif. 32 siswa SMK terlibat dalam penelitian ini. Perbedaan gender ditinjau untuk mengetahui perbedaan karakteristik laki – laki dan perempuan dalam menjawab soal trigonometri. Penelitian menemukan bahwa siswa laki – laki dan perempuan mengalami hambatan yang sama dalam menjawab soal. Pada siswa laki – laki rata – rata kesalahan sebesar 3 % pada reading errors, 20% pada comprehension errors, 24% pada transformation errors, 14% pada process skill errors, dan 17% pada encoding errors. Sedangkan pada siswa perempuan hanya proses kesalahan reading errors yang terjadi 100% pada semua gender perempuan, sedangkan pada masalah yang lain sebesar 50%. Penelitian ini memberikan sumbangsih pada penguatan teori yang dapat memberikan pandangan baru, sehingga memberikan detail yang mendalam sebagai media pengambilan keputusan pembelajaran selanjutnya. Error analysis of vocational high school students on trigonometry topics based on Newman Error Analysis (NEA)There have been many research efforts that examine student errors on the topic of Trigonometry, however, there are still few research results in that attempt to analyze the mistakes of vocational students on the topic using the Newman Error Analysis theory which is specially reviewed from a gender perspective. This study analyzed students' errors and factors in answering trigonometry questions. Teachers could minimize the same mistakes by helping to reduce the inhibiting factors for student learning. An analysis of student errors has been carried out referring to the Newman Error Analysis (NEA) involved as the sample and research population. Gender differences were reviewed to determine if there were differences in the characteristics of men and women to answer trigonometry questions. It was found that male and female students equally experienced obstacles in answering all the questions given. For male students, the average error is 3% for reading errors, 20% for comprehension errors, 24% for Transformation errors, 14% for process skill errors, and 17% for encoding errors. Meanwhile, for female students, only reading errors occurred in 100% of all female genders, while in other problems it was 50%. This research contributes to the strengthening of theories that can provide new insight, thus providing in-depth details as a medium for making further learning decisions.
EKSPLORASI ETNOMATEMATIKA PADA OLEH-OLEH MAKANAN KHAS KOTA MADIUN Lenny Puspita Dewi; Yan Aditya Pradana; Dian Ardifah Iswari; Muhammad Qolbi Shobri; Naufal Ishartono; Citra Kusuma Pratiwi
De Fermat : Jurnal Pendidikan Matematika Vol. 9 No. 1 (2026)
Publisher : Program Studi Pendidikan Matematika, Fakultas Keguruan dan Ilmu Pendidikan, Universitas Balikpapan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36277/defermat.v9i1.2488

Abstract

Negative perceptions of mathematics persist, largely due to its abstract nature and the limited use of concrete examples in instruction. Integrating cultural elements into learning can provide an alternative approach to support a more contextualized understanding of mathematical concepts. Ethnomathematics serves as a bridge between culture and mathematics within the learning process. This study aims to explore ethnomathematical concepts embedded in traditional food products of Madiun City, namely brem, bluder, and lempeng. A qualitative approach with an ethnographic method was employed. Data were collected through observation, direct measurement of the research objects, and documentation. The data were analyzed using the Miles and Huberman interactive model, including data reduction, data display, and conclusion drawing. The results of the study indicate that various mathematical concepts are present in the production and packaging processes of traditional foods. In brem, concepts of the rectangular prism, measurement, and volume were identified. In bluder, concepts of the truncated square pyramid, base area, height, and volume were identified. Meanwhile, in lempeng, the concepts of the rectangular plane figure, the rectangular prism, area, volume, and the size ratio between raw and cooked lempeng of 1:2 were found. These mathematical concepts appear implicitly in the cultural activities of the community, particularly in the production and packaging processes of traditional foods.
Co-Authors 'Aini, Hanifa Nur 'Azmi, Abidah Ulul Ade Risma Maharani Adi Jufriansah Adityan Riyanto Afiyah, Asyifa Nur Aghitsna, Laasya Ary Agung Lukito AGUNG LUKITO Agus Susilo Agus Susilo Aji, Angelia Sukma Ningrum Afrida Yono Putri Akib, Irwan Alan Zinober Alfian Bayu Sutanto Alma Yasinta Candra Pratiwi Aminatuz Zuhriyah Anam Sutopo Anatri Desstya Anisa, Rizka Sakinatun Antok Aryuana Apriliaddina, Annisa Argenti Agung Hayuni Aris Sukoco Arlinwibowo, Janu Aryuana, Antok Astuti, Dyah Astuti, Khafifah Dwi Asyifa Nur Afiyah Atikah Mufidah Atikah Mufidah Atthiyah, Zuhroh Wafa Auladiyah, Alfia Sa'adul Azila M Sudin Azmi Khusnani Bambang Sumardjoko Cahyo, Aditya Nur Chalistha, Fayza Putri Chaniago, Zamawi Christina Kartika Sari Chusnul Khotimah Galatea Citra Kusuma Pratiwi D Djumadi Dela Aprilia Damayanti Devary Pradana Setyabudi Dewi Ayu Ningtyas Dian Ardifah Iswari Dian Artha Kusumaningtyas Diana Novita Lestari Dicky Eka Prasetya Dwi Juniati Dwi Juniati Dyah Astuti Edwin Ariesto Umbu Malahina Eko, Rizky Oktaviana Eli Purwati, Eli Erma Widyastuti Evi Dwi Kartikasari Evikasari, Ira Faustine Fiona Eka Farah Dewi Gamal Abdul Nasir Zakaria Halili, Siti Hajar Binti Hanifah Tria Intan Jelita Hanifah, Millenia Haq, Muhammad Izzul Harun Joko Prayitno Hayuni, Argenti Agung Heri Siswanto Hernawan Sulistyanto Hidayah, Muhammad Nur Wahyu Hidayat, MB Dian Khusnul Hidayati, Miftachul Ihsan Nugroho Ikhsan Dwi Setyono Intan Jelita, Hanifah Tria Irfadhila, Dwega Irmanopaliza, Ade Ismiyati, Ismiyati Isnaeni Umi Machromah Izzatul Azmi Mulya Janu Arlinwibowo Janudin, Sharul Effendy Jarnawi Afgani Dahlan Jumadi Jumadi Krisna Megantari Lenny Puspita Dewi Mahaliza Mansor Mahdum Wiraman Mahmudah, Mutiara Hisda Maikristiani, Ika Wulansari Mansor, Mahaliza Maryana, Windri Masduki Maulida, Dini Wardani Maure, Osniman Paulina Mega Puspaningrum Meytasharoh, Vera Putri Michelia Putri, Karolyne Miftakhul Djannah Miftakhul Huda Miftakhul Huda Millenia Hanifah Mitayani, Rizka Aliya Mohamad Waluyo Muhaimin Ismoen Muhammad Afif Muhammad Fahmi Johan Syah Muhammad Izzul Haq Muhammad Noor Kholid Muhammad Qolbi Shobri Muhammad Syahriandi Adhantoro Muhtadi Muhtadi Nanang Mulyana, Nanang Nasution, Ikhwan Fauzi Naufal Husein Adikalan Nia Qodr Nida Sri Utami Ningtyas, Dewi Ayu Ningtyas, Yoga Dwi Windy Kusuma Nining Setyaningsih Norafiz Maselan Nova Tri Romadloni Novitasari, Riska Wahyu Nugroho Arif Sudibyo Nuqthy Faiziyah Nur Amalia Nurcahyo, Adi Nurdianzah, Rochmat Agung Nurhidayat Nurhidayat Nuriya Hazma Arifatul Ulya Nurul Hikmah Kartini Nurul Latifatul Inayati Oktiatama, Firlana Bakti Olly Orva Peggy Kim Carla Pinasti Dwi Utami Pinkan Dwi Pravitasari Pramesti, Syiffa Ghaisani Vanda Pratiwi, Alma Yasinta Candra Puti, Tunjung Nala Putri, Neva Kharisma Paranedya Putri, Wiffy Zalina Rafiza Abdul Razak Rafiza Abdul Razak Rafiza binti Abdul Razak Rafiza binti Abdul Razak Rahmadhani, Salma Rahmah, Maulida Atsaniatu Rahmawanti, Kani Rahmawati, Melani Putri Ratnasari Diah Utami Ratni Purwasih, Ratni Razak, Rafiza Abdul Razak, Rafiza binti Abdul Retno Palupi Reyza Wulandari Rhavida Anniza Andyani Rini Setyaningsih Rizky Oktaviana Eko Putri Rosyada, Alya Nugrahaeni Rully Charitas Indra Prahmana Sabar Narimo Saifudin Saifudin Salma Rahmadhani Salsa Bila Ayustiana Hafsari Salsabila, Alifa Santosa, Yoga Tegar Sari, Fhitri Indah Setyabudi, Devary Pradana Setyaningrum, Hety Dwi Agus Setyawan, Fariz Shahibul Ahyan Sharul Effendy Janudin Shervina Solicha Siti Ainun Fadilah Siti Hajar binti Halili Siti Hajar Halili Soraya Djamilah, Soraya Sri Katoningsih Sri Rejeki Sufahani, Suliadi Firdaus Sukimin Sukowati, Berliani Ardelia Sulastri Sulastri Suliadi Fidaus bin Sufahani Suliadi Firdaus Bin Sufahani Suliadi Firdaus Sufahani Suliadi Firdaus Sufahani Sumardi Sumardi Sunaryo, Ilham Sundari, Sri Sutama Tanti Diyah Rahmawati, Tanti Diyah Temon Bagus Hidayatullah Tia Ayu Wulandari Tika Andriani Tina Putri Alfiana Toni Ahmad Subekti Tonra, Wilda Syam Turmudi Ulya, Nuriya Hazma Arifatul Waluyo, Mohammad Wan Noor Afifah Wan Ahmad Wardana, Trisna Aditya Wijanarko, Ardi Windi Hastuti Wulan Rahma Galuh Perwita Wulandari, Nur Asih YAN ADITYA PRADANA Yan Aditya Pradana Yasir Sidiq Yoga Dwi Windy Kusuma Ningtyas Yoga Dwi Windy Kusuma Ningtyas Yosep Dwi Kristanto Yuki Yulita Zahiyah Asla Salsabila Zainal Arifin Zakaria, Gamal Abdul Nasir