FRAKTAL: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA

Integrasi Etnomatematika Rumah Adat NTT Dalam Pembelajaran Matematika

Dionisius Asa Balibo, Irna K. S. Blegur, Wara Sabon Dominikus — Sat, 29 Nov 2025 00:00:00 +0000

Ethnomathematics is mathematics that grows and develops in the cultural activities of certain communities. This means that mathematics and culture are two things that are interrelated and cannot be separated in people's lives. This research aims to examine the integration of NTT traditional house ethnomathematics in mathematics learning and learning approaches that support learning. The research method used in this research is literature study. The 3 articles used were obtained from the Google Scholar database. The results of this research show that the ethnomathematics activities of NTT traditional houses can be integrated into mathematics learning and a realistic mathematics approach can have an impact in creating active learning that is centered on contextual problems in the environment around students.

Penerapan Model Problem Based Learning Untuk Meningkatkan Hasil Belajar Siswa Kelas X SMA Negeri 3 Kota Kupang Pada Materi Trigonometri Dengan Berbantuan Power Point Interaktif

Ivona Lydia Mendes, Damianus D. Samo, Aleksius Madu — Sat, 29 Nov 2025 00:00:00 +0000

This study is based on the low student learning outcomes in trigonometry material. This study aims to describe the improvement of learning outcomes of class X students of SMA Negeri 3 Kota Kupang by applying the Problem Based Learning model on trigonometry material with the help of interactive power point. This research was conducted with research procedures based on the Kemmis and Mc. Taggart model which consists of four research components, namely plan, act, observe, and reflect. The data collection techniques were observation and tests. The instruments used were teacher and student observation sheets and learning outcome test sheets. The results of this study showed that the classical student learning outcomes in cycle I were 63.33% which increased to 83.33% in cycle II. Meanwhile, the observation result of teacher activity while teaching in cycle I obtained a percentage of 93.1% seen to increase to 97,9% in cycle II and the observation result of student activity during the learning process in cycle I obtained a percentage of 86.8% increased to 95,8% in cycle II. Therefore, the application of problem-based learning model on trigonometry material with the help of interactive power point can improve the learning outcomes of students of class X SMA Negeri 3 kupang city.

Desain Pembelajaran Berdiferensiasi Materi Peluang pada Siswa SMPN 18 Kota Kupang

Ansgarius Arnoldi Sudin, Christine K. Ekowati, Yohanes H. Nada — Sat, 29 Nov 2025 00:00:00 +0000

This research is motivated by the implementation of differentiated learning as part of the implementation of the independent curriculum has not been implemented evenly at the educational level, one of which is at SMPN 18 Kota Kupang. In response to this, the researcher wanted to produce a differentiated learning design as part of the independent curriculum, especially on opportunity material. The method used by researchers is design research, which includes 3 stages, preparing for the experiments, the designs experiment and retrospective analysis. The data collection techniques used by researchers are tests (diagnostic and summative assessments), observations and interviews. Data analysis in this study used descriptive qualitative data obtained from observations and interviews, while quantitative data was obtained from the assessment results. This research produces differentiated learning design on chance material. The results showed that the learning design applied by the researcher was effective in helping students in improving student's understanding.

Desain Pembelajaran Berdiferensiasi pada Materi Lingkaran Kelas VIII di SMP Negeri 5 Kupang

Ayuasyari Narang Lobang — Sat, 29 Nov 2025 00:00:00 +0000

Penelitian ini bertujuan untuk mendesaian pembelajaran berdiferensiasi pada materi lingkaran kelas VIII di SMP Negeri 5 Kupang. Metode penelitian yang digunakan adalah penelitian design research yang terdiri dari 3 tahapan yaitu preparing and design phase, teaching experiment phase, retrospective analysis phase. Teknik dan instrumen pengumpulan data yang digunakan adalah tes, wawancara, dan observasi. Teknik analisis yang digunakan adalah kualitatif kuantitatif. Data kualitatif diperoleh dari hasil observasi dan wawancara, sedangkan data kuantitatif diperoleh dari hasil tes yang melibatkan menghitung persentase tes asesmen diagnostik, persentase tes asesmen formatif, persentase observasi siswa, dan sembilan orang peserta didik pada siklus pilot experiment dan 26 orang peserta didik pada siklus teaching experiment. Penelitian ini bertempat di SMP Negeri 5 Kupang dan fokus penelitian ini adalah siswa kelas VIII Terbuka.

Penelitian ini menghasilkan suatu desain pembelajaran berdiferensiasi konten pada materi lingkaran terkhususnya sudut pusat dan sudut keliling. Pada pembelajaran berdiferensiasi terdapat dua kegiatan yaitu kegiatan satu peserta didik diminta untuk menjelaskan definisi dari sudut pusat dan sudut keliling dan kegiatan dua peserta didik diminta untuk menentukan besar sudut pusat dan sudut keliling.

Kata Kunci: Pembelajaran Berdiferensiasi, Sudut Pusat dan Sudut Keliling

Analisis Kecakapan Komunikasi Matematis Siswa SMP dalam Menyelesaikan Soal Materi Relasi dan Fungsi

Essy Puspita Rahim — Sun, 30 Nov 2025 10:19:14 +0000

The aim of this research is to analyze and describe the mathematical communication skills of junior high school students in relation and function material. The research subjects were 22 students of SMP Muhammadiyah 4 Pekanbaru class. The type of research is descriptive qualitative with data collection in the form of written tests and interviews. The written test was in the form of a description of 3 questions. Data analysis was done through data reduction, data presentation, and conclusion drawing. The results showed that students' overall mathematical communication skills were still low with an average of 23.48%. Students achieved indicator 1 (written text) by 28.41%, indicator 2 (drawing) by 35.23%, and indicator 3 (mathematical expressions) by 7.95%. Students' difficulties occurred when converting problem information into mathematical models, explaining the solution steps coherently, and using correct mathematical language. This was caused by limited prerequisite skills, low concept understanding, and poor writing skills.

Eksplorasi Etnomatematika Pada Kain Tenun Songke Manggarai Dan Integrasinya Dalam Pembelajaran Matematika

Timoteus Windy Hepy, Wara Sabon Dominikus, Aleksius Madu — Sun, 30 Nov 2025 10:46:07 +0000

The connection between mathematics and culture is a strong foundation for enriching the mathematics learning process. Therefore, it is hoped that school mathematics learning activities can be better adapted to the cultural context of students so that mathematics can be more easily understood by students. One cultural context that can be used is the ethnomathematics of Songke Manggarai woven cloth. The type of research used in this research is qualitative research with a qualitative descriptive research method with an ethnographic approach. In this research, the instruments used were interviews and observations. Data collection techniques in this research consist of observation, interviews and documentation. The data analysis technique used in this research is the interactive model from Miles & Huberman (1994), which states that the data collection stage consists of three activities that occur simultaneously, namely data reduction, data presentation, and conclusion drawing/verification. Based on the results of this ethnomathematics exploration research, it can be concluded that there are mathematical concepts in the Songke Manggarai woven cloth of Golo Ronggot Village, both in the initial process and in the stages of the weaving process.

Pengembangan Media Pembelajaran Matematika Berbasis Aplikasi Android Menggunakan I-Spring Pada Materi Sistem Persamaan Linear Dua Variabel Kelas VIII SMP Negeri 4 Rote Barat Laut

Lerianto Yacob Fanggi — Sun, 30 Nov 2025 12:13:23 +0000

This research aims to develop mathematics learning media based on an Android application using I-Spring on two-variable linear equation systems material for class VIII students of SMP Negeri 4 Rote Barat Laut that is valid, practical and effective. The method used in this research is the Research and Development method using the ADDIE model. The data collection techniques and instruments used were interviews, questionnaires and tests. The data analysis techniques used are qualitative and quantitative data analysis techniques. The research results show that the learning media developed meets the eligibility criteria for learning media, namely valid, practical and effective. The average total validity by material and media experts was 4.41 in the "valid" category. The average total practicality of students in small classes is 4.615, the average total practicality of teachers in large classes is 4.67, and the average total practicality of students in large classes is 4.68 in the "practical" category. The percentage of student learning completeness in the small class trial was 100% with the "very effective" category and the large class trial was 75% with the "effective" category. Thus, the learning media developed is valid, practical and effective.

Desain Pembelajaran Berdiferensiasi Pada Materi Aritmatika Sosial Siswa Kelas VII SMPK Giovanni Kupang

Edith Stein Bara Djegho — Sun, 14 Dec 2025 08:18:22 +0000

The main reason of this study was the condition of some students who could not do the learning instruction and usually accepted the learning material slowly, so made them missed the process and even needed more time than usual. One of the reasons was the learning instruction which never gave more attentions for the student’s needs and conditions. Because of that, this study aimed to produce the desain of differentiated instruction learning on social arithmetic material, especially at seventh degree students of SMPK Giovanni Kupang. The kind of this study was desain research. This study done at SMPK Giovanni Kupang with the subject was the group of seventh degree students. The technique of data collecting in this study consisted of test, observation, and interview. This study used the descriptive-qualitative and quantitaive as the technique of data analysis. Qualitative datas was gained by the result of interview activities and observation, meanwhile qualitative datas was gained by the result of assesment. This study produced the desain of differentiated instruction learning that focussed at content learning and could used to support social arithmetic material. The results showed that mathematic learning by using the desain of differentiated learning in content could used effectively because the student could knew and understood the learning material well while increased their learning outcome.

Analisis Kemampuan Pemecahan Masalah Matematika Siswa SMP Kelas VII Pada Materi Bilangan Bulat

Nurvani Yulia Dewi, Aminda Salsabillah, Reni Wahyuni — Sun, 30 Nov 2025 00:00:00 +0000

This study aims to examine the mathematical problem-solving abilities of seventh-grade junior high school students on the topic of integers. A descriptive qualitative approach was employed, involving 36 students from a public junior high school in Kampar Regency. Data were collected through three specially designed written test items and semi-structured interviews to explore students' thinking processes. The results show that students’ abilities can be categorized into three levels: high (13.89%), moderate (69.44%), and low (16.67%). Students in the high category demonstrated systematic steps and critical reflection. Those in the moderate category generally understood the problems but often made mistakes in selecting and applying appropriate strategies and showed a lack of accuracy. Students in the low category struggled at almost every stage of problem-solving. Contributing factors include understanding of basic mathematical concepts, strategy selection, accuracy, and clarity of the problem statements. The study recommends the use of contextual and reflective learning approaches to enhance students' mathematical problem-solving skills.

Keywords: Problem-solving, Integritas, Mathematics, Contextual learning.

Analisis Dinamika Pertumbuhan Penduduk Sleman Menggunakan Model Interpolasi Lagrange

Nirmatun Hanifah, Angelina Nabila Azahra, Bayu Setiaji — Sun, 30 Nov 2025 00:00:00 +0000

Population growth is a vital aspect of regional planning; however, the limited availability of census data over certain periods poses challenges for strategic decision-making. Therefore, a predictive method capable of accurately filling data gaps is essential. This study employs the Lagrange polynomial interpolation method, implemented in MATLAB, to model and predict the population of Sleman Regency from 2016 to 2045, including estimates for years beyond the available data. The analysis results indicate that the Lagrange interpolation method can generate reasonably accurate predictions and reflect a stable growth trend following the COVID-19 pandemic. The use of MATLAB facilitates calculations and visualization, thereby enhancing the effectiveness of the analysis. These findings affirm that Lagrange interpolation is an effective tool for demographic data prediction, which is crucial for supporting data-driven policymaking toward sustainable development. Based on these results, it is expected that the accuracy of regional and national development strategies can be improved in addressing future socio-economic dynamics.

Pengaruh Gaya Hidup Dan Motivasi Belajar Mahasiswa Pendidikan Matematika

Adinda Aisyah — Sun, 30 Nov 2025 00:00:00 +0000

The objective of this research is to determine whether lifestyle significantly affects learning motivation. This study employed a quantitative approach with an ex post facto design, involving 54 randomly selected respondents. Data were collected using questionnaires distributed via Google Form and analyzed using simple linear regression and ANOVA tests. The results showed no significant effect of lifestyle on students’ learning motivation. Although the relationship direction appeared negative, the influence was very weak and statistically insignificant. These findings indicate that lifestyle is not a major factor in shaping students’ learning motivation. Future research is recommended to explore other variables such as academic goals, learning interest, and social support as more relevant predictors of learning motivation

Pengaruh Model Discovery Learning Dengan E-Worksheet Geogebra Terhadap Hasil Belajar Persamaan Garis Lurus Siswa Kelas VIII MTs

Rafiantika Megahnia Prihandini, Robiatul Adawiyah — Sun, 30 Nov 2025 00:00:00 +0000

This study aims to analyze the effect of Discovery Learning with e-Worksheet GeoGebra on the learning outcomes of eighth-grade students at MTs AT-Taqwa Bondowoso. A quantitative study with a quasi-experimental design using a non-equivalent control group design was conducted with a control group (VIII D) and an experimental group (VIII C). The results of the study show that the use of e-Worksheet GeoGebra with the Discovery Learning method enhances student activity and learning outcomes. The homogeneity test (p = 0.155) and normality test (p > 0.05) indicated that the data were homogeneous and normally distributed. The gain score analysis showed a higher average score increase in the experimental group (11.81) compared to the control group (5.56). The posttest t-test (t = 3.8416, p = 0.001) and gain score t-test (t = 4.877, p = 0.000) showed significant differences between the two groups. Therefore, Discovery Learning using e-Worksheet GeoGebra has a significant effect and is more effective than the conventional method in improving student learning outcomes

Implementasi Media Susat Suling untuk Mendukung Pemahaman Konsep Hubungan Sudut Pusat dan Sudut Keliling Lingkaran

Ahmad Riyan Maulana — Sun, 30 Nov 2025 00:00:00 +0000

This study aims to describe the implementation of the Susat Suling media based on GeoGebra in supporting students’ understanding of the relationship between central angles and inscribed angles in circles. A descriptive quantitative method with a one-shot case study design was employed. The subjects of this study were 35 students from class XI IPS 1 at MAN 1 Lamongan. The instruments used included validation sheets and learning outcome tests. Expert validation results indicated that the Susat Suling media achieved a feasibility score of 87.7%, which falls into the 'Highly Feasible' category. Following its implementation in the classroom, data showed that 82.9% of students scored ≥70 on the post-test. These results suggest that the media effectively facilitated students’ understanding of the central and inscribed angle concepts in a more concrete and interactive manner. Thus, Susat Suling can serve as an innovative alternative for visual-based mathematics instruction

Pengembangan Media Pembelajaran Berbasis Powerpoint Interaktif Pada Siswa SMP

Indah Ramadhani, Arvin Efriani, Asri Nurdayani — Sun, 14 Dec 2025 11:00:24 +0000

Penggunaan media pembelajaran memegang peranan penting dalam mendukung peningkatan pemahaman dan minat belajar siswa khususnya pada bidang matematika. Penelitian ini bertujuan untuk mengkaji kevalidan media pembelajaran powerpoint interaktif yang dikembangkan untuk menyampaikan materi ajar pada materi kongruensi dan kesamaan. Metode yang digunakan adalah R&D dengan model 4D yaitu Define (mendefinisikan), Design (mendesain), Develop (mengembangkan), Disseminate (menyebarluaskan). Namun pada penelitian ini pengembangan hanya sebatas pengembangan saja. Teknik pengumpulan data pada penelitian ini adalah angket validitas untuk mengumpulkan data dari ahli validator, guna menilai kelayakan pengembangan media pembelajaran. Hasil penelitian ini menunjukkan bahwa uji validitas media pembelajaran powerpoint interaktif yang dikembangkan menghasilkan nilai kelayakan validitas sebesar 89% dengan kriteria sangat layak.