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Exploration of Mathematical Concepts in Slobog Solo Batik Motifs Novani, Jihan; Nurcahyo, Adi; Setyaningsih, Rini
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.v38i3.15089

Abstract

Previous ethnomathematics studies on Indonesian batik have largely concentrated on widely recognized motifs, resulting in limited scholarly attention to several classical motifs that possess distinctive visual and philosophical characteristics. Batik Slobog Solo is one such motif that remains underexplored from a mathematical perspective. This study aims to investigate and describe the mathematical concepts embedded within the Batik Slobog Solo motif as a foundation for developing culturally contextualized mathematics learning. The research adopts a qualitative design employing an ethnographic approach, with data collected through observation, semi-structured interviews, and documentation at the Danar Hadi Batik Museum in Surakarta. The exploration process follows four guiding questions: “Where do I start looking?”, “How do I find it?”, “How do I know that I have found something significant?”, and “How to understand it?”. The findings indicate that Batik Slobog Solo embodies various mathematical concepts, including plane geometry and transformational geometry, arithmetic patterns represented through square numbers and arithmetic sequences, as well as discrete mathematics concepts involving tiling and graph theory. These concepts are reflected in the repetition, regularity, spatial relationships, and systematic arrangement of motif elements. The results demonstrate that Batik Slobog Solo has substantial potential as a culturally grounded instructional resource that supports meaningful mathematics learning. This study contributes to ethnomathematics literature by expanding the scope of mathematical analysis on less-explored batik motifs and emphasizes the importance of integrating local cultural heritage into mathematics education to enhance conceptual understanding while promoting cultural preservation.
The Weaknesses of Euclidean Geometry: A Step of Needs Analysis of Non-Euclidean Geometry Learning through an Ethnomathematics Approach Khathibul Umam Zaid Nugroho; Y. L. Sukestiyarno; Adi Nurcahyo
Edumatika Vol 4 No 2 (2021): November 2021, Edumatika : Jurnal Riset Pendidikan Matematika
Publisher : Fakultas Tarbiyah dan Ilmu Keguruan IAIN Kerinci

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32939/ejrpm.v4i2.1015

Abstract

Non-Euclidean Geometry is a complex subject for students. It is necessary to analyze the weaknesses of Euclidean geometry to provide a basis for thinking about the need for learning non-Euclidean geometry. The starting point of learning must be close to students' local minds and culture. The purpose of this study is to describe the weaknesses of Euclidean geometry as a step in analyzing the needs of non-Euclidean geometry learning through an ethnomathematics approach. This research uses qualitative descriptive methods. The subjects of this study were students of Mathematics Education at State Islamic University (UIN) Fatmawati Soekarno Bengkulu, Indonesia. The researcher acts as a lecturer and the main instrument in this research. Researchers used a spatial ability test instrument to explore qualitative data. The data were analyzed qualitatively descriptively. The result of this research is that there are two weaknesses of Euclidean geometry, namely Euclid’s attempt to define all elements in geometry, including points, lines, and planes. Euclid defined a point as one that has no part. He defined a line as length without width. The words "section", "length", and "width" are not found in Euclidean Geometry. In addition, almost every part of Euclid’s proof of the theorem uses geometric drawings, but in practice, these drawings are misleading. Local culture and ethnomathematics approach design teaching materials and student learning trajectories in studying Non-Euclid Geometry.
EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE TAI BERBASIS AFL PADA PERSAMAAN GARIS LURUS DITINJAU DARI SIKAP SISWA TERHADAP MATEMATIKA Nurcahyo, Adi; Budiyono, Budiyono; Usodo, Budi
Journal of Mathematics and Mathematics Education Vol 6, No 1 (2016): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v6i1.10034

Abstract

Abstract: The purpose of this research was to determine the effect of learning models on mathematics achievement viewed from student attitude toward mathematics. The learning models compared were Team Assisted Individualization (TAI) based Assessment for Learning (AfL), TAI, and conventional learning model. The research was quasi experimental. The population of this research was all students of grade VIII State Junior High School of the District Karanganyar, academic year 2013/2014. The samples in this research were SMPN 1 Tasikmadu, SMPN 2 Jaten, and SMPN 2 Colomadu taken by stratified cluster random sampling. Instruments used to collect data were mathematics achievement instrument test and questionnaires students toward mathematics instrument. Data analysis technique used hypothesis test with two-way analysis of variance with unbalanced cells. From the results of the analysis, can be concluded that: 1) the learning achievement in mathematics of the students who were learning mathematics with cooperative learning model TAI Based AfL were better than the ones who were learning mathematics with cooperative learning model TAI and conventional learning model, however the students who were learning mathematics with cooperative learning model TAI were better than the ones who were learning mathematics with conventional learning model, 2) the learning achievement in mathematics of the students with the high attitude toward mathematics were better than the ones with the medium and low attitude toward mathematics, however the students with the medium  attitude toward mathematics were better  than the ones with the low attitude toward mathematics, 3) in the cooperative learning model TAI Based AfL, the learning achievement in mathematics of the students with ones who have the high attitude toward mathematics were better than the students with the low attitude toward mathematics, and students with the medium attitude toward mathematics were as good as the ones who have low attitude toward mathematics as well. In the cooperative learning model TAI and conventional learning model, the students with the high, medium, and low attitude toward mathematics had the same achievement in learning mathematics, 4) in the students with the high attitude toward mathematics, the learning achievement of the students who were learning mathematics with ones who have cooperative learning model TAI Based AfL were better than the students were learning mathematics with cooperative learning model TAI, the students who were learning mathematics with cooperative learning model TAI had the same achievement in learning mathematics with conventional learning model, and the students who were learning mathematics with cooperative learning model TAI Based AfL had the same achievement in learning mathematics with cooperative learning model TAI. The students with the medium and low attitude toward mathematics had the same achievement in learning mathematics among the ones who were given the cooperative learning model TAI Based AfL, TAI, and conventional learning model.Keywords: Team Assisted Individualization (TAI), Assessment for learning (AfL), students attitude toward mathematics, achievement learning mathematics.
Effects of Problem-Based and Guided Inquiry Learning on Vocational Students’ Critical Thinking Skills Rosa Meilani; Adi Nurcahyo; Mohamad Waluyo
Jurnal Inovasi Matematika Vol. 8 No. 1 (2026): Inovasi Matematika
Publisher : Pendidikan Matematika Universitas Muhammadiyah Bangka Belitung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35438/inomatika.v8i1.563

Abstract

In the modern era, critical thinking is a key skill for success in both academic and professional contexts. This study investigates the critical thinking abilities of Vocational High School (SMK) students, which remain relatively low, as reflected in their difficulties solving contextual problems and presenting logical mathematical reasoning. The research aims to examine the effects of the Problem-Based Learning (PBL) and Guided Inquiry (GI) models on students’ critical thinking skills in learning circle geometry. Using a quasi-experimental design, the study involved 11th-grade students at SMK Negeri 1 Boyolali. Class XI MPLB 2 served as the experimental group using the PBL model, while Class XI PM 2 acted as the control group using the GI model. Data were collected through pre-tests, post-tests, and documentation, and analyzed using the independent samples t-test, normality test, and N-Gain test. The results showed a significant difference between the two groups: the PBL class achieved a higher average post-test score (60.91) than the GI class (43.28). The t-test results (t = 4.461, p < 0.05) confirmed that PBL was more effective than GI in improving students’ critical thinking skills, although both models produced outcomes in the low N-Gain category.
Dari Konsep Abstrak ke Visual Interaktif: Penguatan Kompetensi Guru dalam Integrasi GeoGebra dan PhET dalam Pembelajaran Matematika Muhamad Toyib; Adi Nurcahyo; Christina Kartika Sari; Isnaeni Umi Machromah; Sri Rejeki; Rini Setyaningsih; Nida Sri Utami
Jurnal Pengabdian Masyarakat Mentari Vol. 2 No. 7 (2026): Februari
Publisher : Amirul Bangun Bangsa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59837/jpmm.v2i7.235

Abstract

Perubahan paradigma pembelajaran menuntut guru memberikan pengalaman belajar siswa melalui integrasi teknologi dalam pembelajaran matematika. Teknologi seharusnya tidak sekedar sebagai media presentasi, tapi mampu mendukung konstruksi pengetahuan siswa, termasuk untuk konten matematika yang abstrak. Namun, kompetensi guru yang beragam dalam pemanfataan teknologi dan berbagai kendala lainnya mengakibatkan guru belum optimal dalam mengintegrasikan teknologi di kelas matematika. Kegitan ini berupaya menguatkan kompetensi guru dalam integrasi teknologi dengan lebih optimal melalui GeoGebra Classroom yang dan simulasi ready-to-use melalui PhET. Kegiatan berupa pelatihan kepada guru matematika SMA/SMK/MA se-Kabupaten Purwodadi dilaksanakan secara luring melalui participant active learning. Dari hasil evaluasi, guru merasa lebih percaya diri dalam mengintegrasikan teknologi, serta memiliki ide dan pengetahuan baru dalam pemanfaatan teknologi dalam pembe;ajaran matematika. Guru juga merasakan manfaat pelatihan, diantaranya peningkatan pengetahuan dan wawasan profesional guru, serta dukungan pengembangan perangkat pembelajaran.
PENINGKATAN KEAKTIFAN PESERTA DIDIK KELAS V SEKOLAH DASAR DALAM MATA PELAJARAN PENDIDIKAN PANCASILA MELALUI MODEL PEMBELAJARAN PROBLEM BASED LEARNING Maharani Dyah; Riska Fahmawati; Dewi Suci; Adi Nurcahyo; Rohman; Artik; Edy Heru Prasetyo
Jurnal Genta Mulia Vol. 16 No. 2 (2025): JURNAL GENTA MULIA
Publisher : LPPM Universitas Cipta Mandiri

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

Abstract

This study is based on the problem of low learning activity of students in grade V. This is indicated by a lack of enthusiasm during learning, lack of student interaction, and low participation in answering questions, asking questions, and completing assignments. The research conducted was Classroom Action Research (CAR) to see an increase in student learning activity using the Problem-Based Learning (PBL) model when implementing Pancasila learning in class. The subjects of the study were 22 grade V students of SD Muhammadan Plus Malangjiwan, Colomadu. The indicator of the success of this study is the achievement of the percentage of students’ activeness reaching 75%. CAR is carried out for 2 cycles. The type of data used in this study is qualitative data that includes the results of direct observation, which the researcher observes without being directly involved. In addition, quantitative data is also obtained from the results of processing the presentation of students’ activeness. Data collection is carried out through observation. Through data collection, it can be seen that in cycle I reached 63%, which describe that the results of the students’ activeness were still lacking, then increased in cycle II reaching 70.3%. Based on these results, can describe that the PBL method can increase of students’ activeness in class V students on the Pancasila subject.
Co-Authors Abi Fadila Aditia Rigianti, Henry Alma Yasinta Candra Pratiwi Annisa Swastika Antok Aryuana Arief Cahyo Utomo Arif Setiawan Artik Artik Aryuana, Antok Budi Usodo Budiyono Budiyono Budiyono, Budiyono Christina Kartika Sari Dewi Suci Edy Heru Prasetyo Edy Heru Prasetyo Elis Setyowati Elis Setyowati Evikasari, Ira Farizqi, Muhammad Luthfi Fayza Putri Chalistha Fitri Choirul Muttaqin Fitriani, Nanda Milenia Hanifah, Millenia Hapsari, Mesaluna Rida Harsono Harsono Harun Joko Prayitno Ilham Rais Arvianto Ismiranda, Khoirina Isnaeni Umi Machromah Jenar Bagaskara, Gilang Khathibul Umam Zaid Nugroho Khofifah Titan Palupi Khotimah, Dinta Ameliana Khusnul Lintang Yanuarita M. Noor Kholid M. Noor Kholid Magun Surya Maharani Dyah Millenia Hanifah Mohamad Waluyo Mohamad Waluyo Mohammad Rifki Maulana Muhamad Toyib Muhammad Noor Kholid Musthofa, Akbar Fadel Dwiki Naufal Ishartono Nida Sri Utami Nida Sri Utami Novani, Jihan Nugroho Arif Sudibyo Nuqthy Faiziyah Nurfitri, Diva Mutiara Pratiwi, Alma Yasinta Candra Purnamasari, Diana Tri Putri, Fitria Afifah Aliya Rafiza Abdul Razak Rahma, Tara Kamila Razak, Rafiza Abdul Rini Setyaningsih Rini Setyaningsih Risda Putri Nugrahani Riska Fahmawati Risma Kurnia Wati Rohman Rohman Rosa Meilani Rukmi, Kartika Ryan Rizki Adhisa Safta Wijaya, Arif Samudra, Sikah Imel Sari, Fhitri Indah Sari, Ragista Maya Serlia Novita Sari Setyowati, Elis Sheilawati, Kharisa Rinandyta Siti Wulandari Sri Rejeki Sri Rejeki Sufahani, Suliadi Firdaus Sukestiyarno, Y. L. Suliadi Firdaus Sufahani Sulistiawati, Yuni Sumardi . Sutama Tika Andriani Toyib, Muhamad Tsulis Iq'bal Khairul Amar Umi Salamah Wahyu Nur Hidayati Wahyuning Putri Bima Widya Ayu Pangestika Wulan Galuh Rahma Perwita Wulan Rahma Galuh Perwita Y. L. Sukestiyarno Yoki Yulizar Yusuf Zaim Hakim