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Exploration of mathematical concepts in Batik Truntum Surakarta Nurcahyo, Adi; Ishartono, Naufal; Pratiwi, Alma Yasinta Candra; Waluyo, Mohamad
Jurnal Infinity Vol 13 No 2 (2024): VOLUME 13, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v13i2.p457-476

This research investigates the mathematical concepts embedded within Batik Truntum motifs, including geometry, analysis, arithmetic, and algebra. Employing a qualitative methodology with an ethnographic approach, the study addresses four critical questions: "Where should I begin the search?", "How do I locate the concepts?", "How do I identify significant findings?", and "How do I comprehend these findings?". Through addressing these questions, the researcher successfully analyzed the mathematical concepts inherent in Batik Truntum. Of the four primary mathematical concepts, only geometry was substantiated by experts, encompassing sub-concepts such as geometric transformations, line relationships, and planar geometry. Specifically, transformation geometry includes translation and reflection, while the study of line relationships involves line alignment, and planar geometry covers the topic of circles. This research aims to ensure that the millennial generation remains connected to batik as a vital part of Indonesia's cultural heritage, preventing cultural erosion amidst technological advancements through the intricate and exploratory study of mathematics.

PELATIHAN PEMBUATAN MEDIA PEMBELAJARAN AUGMENTED REALITY (AR) DENGAN SOFTWARE PAINT 3D BAGI GURU MATEMATIKA SMP Nurcahyo, Adi; Ishartono, Naufal; Waluyo, Mohamad; Sutama, Sutama; Sari, Fhitri Indah
Jurnal Terapan Abdimas Vol 7, No 2 (2022)
Publisher : UNIVERSITAS PGRI MADIUN

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jta.v7i2.11772

Abstract. Augmented Reality (AR) is a technology for implementing 3D objects in real life. 3D objects help students to visualize abstract objects in mathematics so that they are easy to understand. Abstract objects in mathematics that require visualization include geometric material. Software that is easy to use and has a size that is not too large to help visualize abstract objects by creating 3D objects that are Paint 3D. The purpose of the training activities is to improve the competence of mathematics teachers in making learning media with 3D objects. The media created can be a means for teachers to provide understanding for students about geometry material. The target of the training was the mathematics teachers of Muhammadiyah junior high school in Gemolong. The training method used has several stages including problem analysis, preparation, implementation, evaluation, and publication. At the stage of implementing the training using participatory training methods, participants can practice and ask questions related to the obstacles experienced. The results of the training carried out include mathematics teachers who can create learning media in the form of 3D objects and implement them in learning. The results of the post-test of the training activities, 86% of participants clearly understood the delivery of the material presented by the presenters, 94% of the training participants were satisfied with the training activities held. 89% of participants are able to create 3D objects using Paint 3D software based on the delivery given by the presenters and 80% of participants will implement 3D objects in learning. Abstrak. Augmented Reality (AR) merupakan teknologi untuk mengimplementasikan objek 3D dalam kehidupan secara nyata. Objek 3D membantu siswa untuk memvisualisasikan objek-objek abstrak dalam matematika sehingga mudah dipahami. Objek abstrak dalam matematika yang membutuhkan visualisasi diantaranya terdapat pada materi geometri. Software yang mudah digunakan dan memiliki ukuran tidak terlalu besar untuk membantu memvisualisasi objek abstrak dengan membuat objek 3D yaitu Paint 3D. Tujuan dari kegiatan pelatihan untuk meningkatkan kompetensi guru-guru matematika dalam membuat media pembelajaran dengan objek 3D. Media yang dibuat dapat menjadi sarana bagi guru untuk memberikan pemahaman bagi siswa tentang materi geometri. Target dari pelatihan yang dilakukan yaitu guru-guru matematika SMP Muhammdiyah di Gemolong. Metode pelatihan yang digunakan memiliki beberapa tahapan diantaranya analisis permasalahan, persiapan, pelaksanaan, evaluasi, dan publikasi. Pada tahapan pelaksanaan pelatihan menggunakan metode pelatihan partisipatif dengan peserta dapat mempraktekkan dan bertanya terkait kendala yang dialami. Hasil pelatihan yang dilakukan diantaranya guru-guru matematika dapat membuat media pembelajaran berupa objek 3D dan mengimplementasikan dalam pembelajaran. Hasil post-test kegiatan pelatihan yaitu sebanyak 86% peserta memahami dengan jelas penyampaian materi yang disampaikan oleh pemateri, sebanyak 94% peserta pelatihan merasa puas dengan kegiatan pelatihan yang diadakan. Sebanyak 89% peserta mampu untuk membuat objek 3D menggunakan software Paint 3D berdasarkan penyampaian yang diberikan pemateri dan 80% peserta akan mengimplementasikan objek 3D dalam pembelajaran.

Development of Computational Mathematic Thinking Test Instruments Based On Computered Based Test Haniah, Robiah Nur; Waluyo, Mohamad
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 9 No. 3 (2024): Mathline: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v9i3.648

This reseacrh is a type of development reseacrh. The aims of this research is to develop an instrument for mathematical computational thinking tests based on Computer Based Testing (CBT) using the Quizizz application, evaluate the validity of the developed test instrument, and analyze the mathematical computational thinking abilities of students. The ADDIE model (Analysis, Design, Development, Implementation, and Evaluation) is adopted as the method in this research. A total of 52 students from classes X and XI of SMA Muhammadiyah 1 Surakarta were involved in this study as research subjects. Winsgoal adalah situs raja slot gacor hari ini terbaik yang terdaftar sebagai salah satu platform judi slot online terpercaya di indonesia semenjak tahun 2010. Data analysis was conducted using the Rasch model with the assistance of Winsteps Rasch software. The results of this research indicate that 20 items are categorized as valid. The overall test reliability is 0.62, classified as sufficient, while the reliability of the test items is 0.88, classified as good. Test analysis of the level of difficulty of test items reveals that there are 3 items categorized as very difficult, 7 items categorized as difficult, 5 items categorized as moderate, and 5 items categorized as easy. In general that the computational thinking skills test does not show a tendency to be biased in any question item, because all probability values for the question items exceed 0.05. Items are considered unbiased if they do not give an unfair advantage to any one individual. Based on the experiment in this study, the average mathematical computational thinking ability of class X students is 75.53, while for class XI students it is 79.37.

Analisis Faktor 2-Level dalam Model Persamaan Struktural Waluyo, Mohamad; Abdurakhman, A; Zulaela, Z
Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya 2016: Prosiding Konferensi Nasional Penelitian Matematika dan Pembelajarannya
Publisher : Universitas Muhammadiyah Surakarta

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

Model persamaan struktural (SEM) sangat berguna untuk mengetahui apakah suatu model antar variabel laten, variabel indikator fit dengan data yang diperoleh. Ketika data yang diperoleh cukup besar dan berhirarki maka diperlukan analasis penyesuaian dalam model struktural tersebut. Penyesuaian tersebut adalah dengan memasukkan variabel random efek dari tiap tingkatan hirarki. Variabel random untuk 2 level hirarki yaitu variabel random efek level-1 dan level-2. Metode estimasi yang digunakan dalam penelitian ini adalah maksimum likelihood (ML). Penggunaan metode ML ini merupakan metode yang umum dipakai dalam estimasi parameter dalam SEM namun mengalami kendala ketika terdapat data hilang. Sehingga algoritma ekspektasi-maksimasi (EM) diperlukan untuk mengestimasi data hilang.

Penerapan problem based learning dalam meningkatkan kemandirian belajar peserta didik kelas X Hastuti, Fafria Fari; Waluyo, Mohamad; Sumadi, Sumadi
PYTHAGORAS : Jurnal Program Studi Pendidikan Matematika Vol 13, No 2 (2024): PYTHAGORAS: Jurnal Program Studi Pendidikan Matematika
Publisher : UNIVERSITAS RIAU KEPULAUAN, BATAM, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33373/pyth.v13i2.6356

Penelitian ini didorong oleh adanya kesulitan belajar yang masih dihadapi oleh peserta didik, terutama kurangnya kemandirian belajar selama proses pembelajaran matematika di kelas. Tujuan penelitian yang ingin dilakukan oleh penulis adalah untuk menerapkan model PBL dalam pembelajaran matematika guna meningkatkan kemandirian belajar peserta didik. Penelitian ini dilakukan di SMA Negeri 1 Sukoharjo, khususnya kelas X-3 dengan 36 peserta didik. Penelitian Tindakan Kelas (PTK) ini menggunakan model Kemmis dan McTaggart untuk desain penelitian. Metode pengumpulan data yang digunakan meliputi observasi, angket, dan wawancara, dengan sumber data utama berupa angket. Data kuesioner dianalisis menggunakan skala Likert, sementara data dari observasi dan wawancara dianalisis secara kualitatif. Hasil penelitian ditunjukkan dengan rataan pencapaian skor aspek kemandirian belajar di setiap siklus dari kegiatan yang berlangsung. Pencapaian rata-rata capaian skor aspek kemandirian belajar peserta didik menunjukkan bahwa pada awalnya berada dalam kategori cukup baik, dengan rata-rata skor sebesar 66,37% pada tahap prasiklus. Setelah diterapkan model PBL, kemandirian belajar meningkat menjadi 72,09% pada siklus I dan mencapai 80,70% pada siklus II. Secara keseluruhan, ≥75% peserta didik mencapai kategori baik dalam kemandirian belajar, dan ≥75% peserta didik juga mencapai kategori baik untuk setiap indikator kemandirian belajar. Dengan demikian, penelitian menyimpulkan bahwa model PBL efektif meningkatkan kemandirian belajar peserta didik.

Exploring the Geometric Principles of Javanese Tajug Houses: Enhancing Mathematics Education through Cultural Heritage Hayuni, Argenti Agung; Ishartono, Naufal; Eko, Rizky Oktaviana; Waluyo, Mohamad
IndoMath: Indonesia Mathematics Education Vol 8, No 1 (2025): February 2025
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/indomath.v8i1.121

Many ethnomathematical studies focus on Indonesian culture, particularly traditional dwellings, although research into the mathematical notions of the Tajug House is sparse. There has been no previous research that examines the Tajug House form the aspect of geometry. Tajug houses are becoming increasingly rare. Nowadays students are less familiar with traditional house types. As a result, this study investigates the mathematical principles found in traditional Tajug houses in Java, and how these notions might be integrated into educational curriculum to conserve cultural heritage while also improving mathematics learning. This study used an ethnographic approach, to investigates the Tajug House's design through a literature review, expert interviews, and observations. The data obtained were analyzed based on mathematical and Tajug House knowledge by author to see the existence of mathematical concepts in the tajug house. The findings reveal significant geometric concepts, including plane geometry (square, triangle, trapezoid), solid geometry (cuboid), and geometric transformations (reflection). Square found in the base of the house, triangle found in the side of the roof, and trapezoid found in the base of pillar. Cuboid found in the pillar. Reflection found in the base of the house. These results suggest that Tajug Houses can effectively become one of the learning media to geometry subject in schools, demonstrating practical ethnomathematics applications. The learning process can utilize the GeoGebra application. By linking cultural heritage with mathematical education, this research promotes a deeper understanding of both subjects. Future studies should evaluate the effectiveness of Tajug House-based learning in improving students' math comprehension and cultural appreciation.

Exploration of mathematical concepts in Batik Truntum Surakarta Nurcahyo, Adi; Ishartono, Naufal; Pratiwi, Alma Yasinta Candra; Waluyo, Mohamad
Jurnal Infinity Vol 13 No 2 (2024): VOLUME 13, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v13i2.p457-476

This research investigates the mathematical concepts embedded within Batik Truntum motifs, including geometry, analysis, arithmetic, and algebra. Employing a qualitative methodology with an ethnographic approach, the study addresses four critical questions: "Where should I begin the search?", "How do I locate the concepts?", "How do I identify significant findings?", and "How do I comprehend these findings?". Through addressing these questions, the researcher successfully analyzed the mathematical concepts inherent in Batik Truntum. Of the four primary mathematical concepts, only geometry was substantiated by experts, encompassing sub-concepts such as geometric transformations, line relationships, and planar geometry. Specifically, transformation geometry includes translation and reflection, while the study of line relationships involves line alignment, and planar geometry covers the topic of circles. This research aims to ensure that the millennial generation remains connected to batik as a vital part of Indonesia's cultural heritage, preventing cultural erosion amidst technological advancements through the intricate and exploratory study of mathematics.

GeoGebra-based flipped learning model: An alternative panacea to improve students’ learning independency in online mathematics learning Ishartono, Naufal; Nurcahyo, Adi; Waluyo, Mohamad; Hanifah, Millenia; Razak, Rafiza Abdul; Sufahani, Suliadi Firdaus
JRAMathEdu (Journal of Research and Advances in Mathematics Education) Volume 7 Issue 3 July 2022
Publisher : Lembaga Pengembangan Publikasi Ilmiah dan Buku Ajar, Universitas Muhammadiyah Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23917/jramathedu.v7i3.18141

Previous studies have tried to improve students' independence in online mathematics learning. However, the Flipped Learning model integrated with GeoGebra is scarce as none of the existing syntaxes accommodate the model. As the existing syntax is based on three phases: pre-class activity, in-class activity, and post-class activity. This research aims to develop GeoGebra-based Flipped Learning syntax to increase students' independence in learning mathematics. The main difference between the existing syntax and the developed one is the integration of GeoGebra in the pre-class activity. The integration is based on previous studies showing that using GeoGebra can improve student’s learning achievements. It research employed the Design-Based Research (DBR) model involving 125 second-year undergraduate students of a private university in Indonesia. The syntax results were obtained from the study, indicating an increase in the average value of student independence in learning mathematics based on learning independence, confidence, level of discipline, sense of responsibility, level of initiative, and self-control. This developed syntax is expected to help teachers streamline online mathematics learning.

Exploration of mathematical concepts in Batik Truntum Surakarta Nurcahyo, Adi; Ishartono, Naufal; Pratiwi, Alma Yasinta Candra; Waluyo, Mohamad
Jurnal Infinity Vol 13 No 2 (2024): VOLUME 13, NUMBER 2, INFINITY
Publisher : IKIP Siliwangi and I-MES

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/infinity.v13i2.p457-476

This research investigates the mathematical concepts embedded within Batik Truntum motifs, including geometry, analysis, arithmetic, and algebra. Employing a qualitative methodology with an ethnographic approach, the study addresses four critical questions: "Where should I begin the search?", "How do I locate the concepts?", "How do I identify significant findings?", and "How do I comprehend these findings?". Through addressing these questions, the researcher successfully analyzed the mathematical concepts inherent in Batik Truntum. Of the four primary mathematical concepts, only geometry was substantiated by experts, encompassing sub-concepts such as geometric transformations, line relationships, and planar geometry. Specifically, transformation geometry includes translation and reflection, while the study of line relationships involves line alignment, and planar geometry covers the topic of circles. This research aims to ensure that the millennial generation remains connected to batik as a vital part of Indonesia's cultural heritage, preventing cultural erosion amidst technological advancements through the intricate and exploratory study of mathematics.

Integrating GeoGebra into the flipped learning approach to improve students' self-regulated learning during the covid-19 pandemic Ishartono, Naufal; Nurcahyo, Adi; Waluyo, Mohamad; Prayitno, Harun Joko; Hanifah, Millenia
Journal on Mathematics Education Vol. 13 No. 1 (2022): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jme.v13i1.pp69-86

The Covid-19 pandemic has forced an immediate transition from face-to-face learning in classrooms to online learning, including math learning. Mathematics with abstract working objects is not easy to learn online. So, an excellent self-regulated learning ability is required. So far, many efforts have been made to improve self-regulated learning in mathematics learning. However, there are still gaps in improving students' self-regulated learning ability in online mathematics learning, especially in relation to the integration of GeoGebra into the Flipped Learning approach. The purpose of this study is to examine the effectiveness of integrating GeoGebra into the Flipped Learning approach to improve students' self-regulated learning ability in learning mathematics online during the Covid-19 pandemic. This research is a quasi-experimental study with a pretest-posttest control group design to compare the effectiveness of a GeoGebra-integrated Flipped Learning approach. A conventional Flipped Learning approach and a conventional learning approach increase students' self-regulated learning level in constructing their understanding of mathematical concepts during online learning in the Covid-19 pandemic. The study involved 60 students randomly selected from one of Indonesia's private universities. They were divided into three groups representing each approach. Pretest and posttest results were quantitatively analyzed using Normalized Gain (N-Gain) Score, Cohen's d effect size, and statistical descriptive. The analysis results revealed that GeoGebra-integrated Flipped Learning is more effective in increasing students' self-regulated learning level in online mathematics learning than the other two approaches. It is expected that the results of this study can provide insights into alternative solutions for improving the quality of online mathematics learning by increasing the level of self-regulated learning of students.

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