Mandalika Mathematics and Educations Journal
Mandalika Journal adalah Jurnal ilmiah yang dikelola oleh Program Studi S1 Pendidikan Matematika FKIP Universitas Mataram. Keberadaan Mandilkan Journal diharapkan dapat berkontribusi pada penguatan dan penyebaran ilmu pengetahuan, khususnya pada bidang matematika dan pendidikan. Artikel dapat berupa hasil penelitian maupun kajian pustaka yang akan diterbitakan 4 Kali dalam Setahun, yaitu Bulan Maret, Juni, September dan Desember.
A Profile of Technological Pedagogical and Content Knowledge Components of Prospective Mathematics Teachers in Microteaching Practice
This study aims to describe the profile of Technological Pedagogical and Content Knowledge (TPACK) components of prospective mathematics teachers in microteaching practice. A descriptive quantitative approach was employed using a survey method. Data were collected through a TPACK questionnaire measured on a five-point Likert scale. The participants consisted of 71 Mathematics Education students enrolled in a microteaching course at the Faculty of Teacher Training and Education, Universitas Mataram. The data were analyzed descriptively to determine the level of TPACK mastery. The results show that the average score across the seven TPACK components reached 81.44%, which falls into the high category, indicating that prospective mathematics teachers generally demonstrate a strong foundation in technology, pedagogy, and content knowledge. Among the components, Technological Pedagogical Knowledge (TPK) obtained the highest mean score, while Content Knowledge (CK) showed a relatively lower score. These findings suggest that although prospective mathematics teachers perform well in individual and paired TPACK components, the holistic integration of technological, pedagogical, and content knowledge in microteaching contexts still requires further strengthening through more authentic and sustained teaching experiences.
Copyright (c) 2026 Sudi Prayitno, Sri Subarinah, Laila Hayati, Dwi Novitasari, Ketut Ary Sunjaya https://creativecommons.org/licenses/by-nc-sa/4.0
Analisis Kemampuan Pembuktian Matematis Masalah Bilangan pada Mahasiswa Calon Guru Matematika
Penelitian ini bertujuan mengeksplorasi kemampuan pembuktian mahasiswa calon guru matematika dalam masalah bilangan ditinjau berdasarkan metode pembuktiannya. Penelitian ini diperlukan karena kemampuan penalaran dalam pembuktian merupakan kompetensi penting yang harus dimiliki mahasiswa calon guru matematika. Jenis penelitian ini adalah gabungan kuantitatif dan kualitatif dengan pendekatan studi kasus, yaitu penelitian yang bermaksud untuk memahami fenomena tentang apa yang dialami oleh subjek penelitian secara holistik dan alamiah. Hasil penelitian memberikan gambaran mengenai penalaran yang digunakan mahasiswa dalam melakukan pembuktian masalah bilangan, kesalahan yang ditemukan adalah sebagai berikut: (1) Pada pembuktian dengan induksi matematika, melakukan manipulasi aljabar yang tidak tepat dan kesalahan penalaran yang melibatkan bilangan asli, (2) Pada pembuktian langsung penalaran yang tidak tepat, (3) Pada pembuktian tidak langsung (dengan kontradiksi), kesalahan konsep pembuktian tidak langsung dan kesalahan penalaran.
Copyright (c) 2026 Sri Subarinah, Sudi Prayitno, Tabita Wahyu Triutami, Nilza Humaira Salsabila, Krisna Jivani Dasusmi https://creativecommons.org/licenses/by-nc-sa/4.0
Penerapan Analisis Biplot Robust Singular Value Decomposition Untuk Data Penyakit Jantung Di Kabupaten Karo
Heart disease is one of the leading causes of death worldwide, including in Indonesia. WHO data from 2023 records 17.8 million deaths due to heart disease. Meanwhile, in the Karo region from June 2024 to August 2024, around 1,616 patients suffered from heart disease and received outpatient treatment. The main factors causing heart disease include gender, age, blood pressure, diabetes, cholesterol, family history, and smoking habits. This study aims to analyze risk factors associated with heart disease and visualize the relationship patterns between risk factor variables and heart disease using the RSVD Biplot method. This method detects 5 outliers in congenital heart disease data with a GOF of 51.24% and visualizes the relationships between variables in a two-dimensional space. The results of this study show that the primary factors significantly associated with heart disease are high cholesterol, where smoking leads to increased blood pressure. High blood pressure causes damage to blood vessel walls. Visualizing the relationship patterns between factors related to heart disease makes it easier to see how variables interconnect in low dimensions. Through visualization, we can identify which factors most influence heart conditions. Thus, the RSVD Biplot method provides insight into the complex relationships between risk factors and heart disease, enabling the design of more effective heart disease prevention strategies.
Copyright (c) 2026 siti Tarigan, Rima Aprilia2 https://creativecommons.org/licenses/by-nc-sa/4.0
Pengembangan dan Validasi Soal Berpikir Kritis Berbasis Etnomatematika pada Bangunan Tabut Bansal Bengkulu
This research aims to develop ethnomathematics-based critical thinking skills tasks within the context of the Tabut Bengkulu structure that meet the criteria for validity. The urgency of this study is driven by the significance of 21st century critical thinking skills, which demand contextual assessment innovations for students. Utilizing the Research and Development (R&D) method with the Tessmer’s formative evaluation model as adapted by Zulkardi, this study encompasses stages from preliminary research to formative evaluation (self-evaluation, expert review, and one-to-one). The designed instruments consist of five essay items integrating Facione's critical thinking indicators with the Bengkulu curtural context of Tabut Bansal. The results indicate that prototype 1 was declared valid in terms of content, construct, and language by the three validators. One-to-one trials with junior high school students also demonstrated that the tasks possess good readability and are capable of stimulating student’s cognitive activity in solving contextual mathematical problems. This research produced prototype 2, comprising five essay items designed to train and measure mathematical critical thinking skills in junior high school.
Copyright (c) 2026 Ayu Tania Riski Putri, Adi Asmara, Nyayu Masyita Ariani https://creativecommons.org/licenses/by-nc-sa/4.0
Identifikasi Jenis – Jenis Diskalkulia Pada Siswa dengan Keterbatasan Intelektual
Penelitian ini bertujuan untuk mengidentifikasi jenis-jenis diskalkulia yang dialami oleh siswa laki-laki penyandang disabilitas intelektual di Sekolah Menengah Pertama Khusus (SMPLB). Dengan menggunakan pendekatan deskriptif kualitatif, data dikumpulkan melalui observasi kelas, tes diagnostik, dan wawancara mendalam dengan dua subjek. Hasil penelitian menunjukkan bahwa Subjek S1 mengalami enam jenis diskalkulia (verbal, praktikgnostik, ideognostik, operasional, leksikal, dan grafis), sedangkan Subjek S2 menunjukkan tiga jenis (verbal, ideognostik, dan grafis). Kesulitan yang diamati termasuk tantangan dalam memahami konsep bilangan, mengenali simbol matematika, dan menerapkan operasi dasar. Temuan ini mendukung pandangan bahwa dyscalculia melibatkan aspek neurologis dan kognitif, bukan hanya kesulitan akademik. Studi ini menyoroti pentingnya penilaian komprehensif dan intervensi instruksional individual, kontekstual, dan multisensori untuk mendukung siswa dengan kesulitan belajar matematika.
Copyright (c) 2026 Ayu Trimulyaningsih Abdul Salim, Lutfiyah Lutfiyah, Dwi Noviani Sulisawati https://creativecommons.org/licenses/by-nc-sa/4.0
Deep Learning Pedagogy dalam Perspektif Konstruktivisme: Systematic Literature Review terhadap Pemahaman Konseptual
The development of modern education requires a paradigm shift in learning from mere knowledge transfer to a meaningful learning process oriented towards conceptual understanding. However, classroom learning practices are still dominated by surface learning that emphasizes memorization rather than deep conceptual understanding. This condition highlights the importance of applying pedagogical approaches that can foster active student involvement in knowledge construction, such as deep learning pedagogy rooted in constructivism principles. This study aims to systematically review various studies examining the relationship between deep learning pedagogy, constructivism, and students' conceptual understanding. The study was conducted using the Systematic Literature Review (SLR) method with PRISMA guidelines for articles published in 2021–2025, resulting in 15 relevant articles for thematic analysis. The results show that the integration of deep learning pedagogy and constructivism effectively improves conceptual understanding through project-based, problem-based, and reflective learning. The conclusion of the study confirms that the synergy of these two approaches strengthens the interconnection between concepts, develops critical thinking, and shapes independent and reflective learners in line with the demands of modern education.
Copyright (c) 2026 Nggonia Rochmah, Alifiani Alifiani https://creativecommons.org/licenses/by-nc-sa/4.0
Pengembangan LKPD Berbasis Budaya Kue Bay Tat dengan Pendekatan STEAM untuk Memfasilitasi LIterasi Numerasi
Penelitian ini bertujuan untuk mengembangkan Lembar Kerja Peserta Didik (LKPD) Matematika berkonteks budaya Kue Bay Tat dengan pendekatan Science, Technology, Engineering, Arts, and Mathematics (STEAM) untuk memfasilitasi literasi numerasi peserta didik. Pada penelitian ini menggunakan Research and Development (R&D melalui model pengembangan 4D yang dimodifikasi. meliputi tahap Define, Design, dan Develop. Subjek dalam penelitian ini meliputi 20 siswa kelas VIII SMPN 9 Kabupaten Lebong. Eksplorasi data diakomodasi melalui instrumen lembar validasi ahli disertai angket respon guru maupun peserta didik untuk menilai kepraktisan LKPD. Data yang terkumpul dibedah dengan teknik analisis kevalidan dan kepraktisan. Temuan empiris mengonfirmasi bahwa LKPD yang dikonstruksi dalam penelitian ini mengagregasi skor sebesar 88,65% yang termasuk dalam kategori sangat valid. Selain itu, hasil uji kepraktisan berdasarkan respon guru dan peserta didik mengagregasi pada angka sebesar 90,43% dengan kategori sangat praktis. Dengan demikian, LKPD Matematika berkonteks budaya Kue Bay Tat dengan pendekatan STEAM dinyatakan layak menjadi basis sumber belajar untuk memfasilitasi literasi numerasi peserta didik melalui pembelajaran yang kontekstual, bermakna, dan berorientasi pada budaya lokal.
Copyright (c) 2026 Miza Anniza, Rahmat Jumri, Selvi Riwayati https://creativecommons.org/licenses/by-nc-sa/4.0
Pengembangan LKPD Materi Segitiga Berbasis PBL Kelas VII Di SMP Pesantren Raudlotul Ulum
This study aims to develop Student Worksheets (LKPD) on the subject of perimeter and area of triangles for seventh-grade students at Raudlotul Ulum Islamic Boarding School Junior High School, with a focus on problem solving. The method used is development research with a 4-D model, which includes the stages of needs analysis, design, and development, while the dissemination stage is not carried out because the research focuses on limited trials. Research data were obtained through learning observations, interviews with teachers and students, and questionnaires on student responses to the developed LKPD. The results of the needs analysis showed that mathematics learning was still dominated by the lecture method, student involvement was relatively low, and there were no teaching materials available to facilitate systematic problem solving. In the design and development stage, the worksheets were compiled by presenting contextual problems as the starting point for learning and supplemented with structured steps for solving them. Limited trials with ten students showed that the worksheets had clear language, visual appeal, appropriate material, and were useful as supporting teaching materials. Based on these findings, the developed LKPD is declared suitable for use as an alternative teaching material to help students understand the concepts of perimeter and area of a triangle through the problem-solving process.
Copyright (c) 2026 ramadhani valiani, anggita oktaviana putri https://creativecommons.org/licenses/by-nc-sa/4.0
Rekontruksi Makna Belajar Transformasi Geometri Berbasis Perspektif Fenomenologi Siswa
The learning of geometric transformations in schools is often reduced to procedural understanding, which triggers epistemological barriers and existential anxiety for students. The research problem of this study concerns the essence of students' subjective experiences in the topic of geometric transformations. This study aims to reconstruct the essence of students' subjective experiences in learning this material to fill the gap in the literature that has long been dominated by cognitive-quantitative studies. The novelty of this research lies in revealing the emotional dimension and embodied experience from a first-person perspective. Through a qualitative method with a phenomenological design, data were collected through in-depth interviews and participatory observation of students at one Private Madrasah Aliyah in Kota Batu. The results of the study reveal four main structures of experience: (1) mathematical anxiety operates as a pre-reflective barrier that blocks access to cognition; (2) the phenomenon of embodied cognition where the body and physical gestures become vital anchors in spatial abstraction; (3) the occurrence of silent struggle due to pseudo intersubjectivity in the classroom; and (4) ontological transformation from fear towards self-meaning. The research conclusion emphasizes that learning geometry is not merely a cognitive event, but a phenomenological event that requires a humanistic pedagogical approach by integrating affective, bodily, and social dimensions.
Copyright (c) 2026 Siti Rukayah, Anies Fuady https://creativecommons.org/licenses/by-nc-sa/4.0
Etnomatematika dalam Kawasan Bersejarah: Analisis Geometri Terhadap Struktur dan Objek Situs Candi Badut
Penelitian ini bertujuan untuk mengeksplorasi keterkaitan antara disiplin ilmu sejarah dan matematika melalui kajian etnomatematika pada Situs Candi Badut di Malang. Menggunakan pendekatan kualitatif-etnografi dengan model analisis Spradley, penelitian ini mengintegrasikan observasi metrik lapangan, studi dokumen pemugaran, serta wawancara mendalam untuk membedah unsur-unsur geometri pada struktur badan candi dan objek Lingga Yoni. Hasil penelitian mengungkapkan adanya implementasi geometri kompleks yang melampaui estetika visual, mencakup penggunaan lima bentuk dasar seperti segitiga, persegi, persegi panjang, trapesium, dan setengah lingkaran. serta penerapan transformasi geometri berupa refleksi dan dilatasi yang presisi. Analisis rasio pada fragmen atap 1,36 dan 1,51 serta volume Yoni 542.324,04 cm memberikan bukti konkret mengenai kecanggihan teknik arsitektur masyarakat Kerajaan Kanjuruhan abad ke-8 yang mengadopsi prinsip Vastu Shastra. Temuan ini menyimpulkan bahwa Candi Badut bukan sekadar artefak religi, melainkan sebuah laboratorium matematika kuno yang merepresentasikan local genius Nusantara. Implikasi penelitian ini mendukung pengembangan model pembelajaran matematika kontekstual berbasis budaya (culture-based learning) di sekolah.
Copyright (c) 2026 Muhammad Thoriqun Najah Zain, Najwa Iswatin Khoiriyah https://creativecommons.org/licenses/by-nc-sa/4.0
Pengembangan LKPD Berbasis Etnomatematika Permainan Tradisional Congklak untuk Meningkatkan Kemampuan Berpikir Kritis Siswa SMP
Mathematics learning at the junior high school level is still predominantly abstract and has not sufficiently connected mathematical concepts with real-life contexts and local culture, resulting in students’ critical thinking skills not developing optimally. One effort to address this issue is through the development of contextual and meaningful ethnomathematics-based teaching materials. This study aims to develop an ethnomathematics-based Student Worksheet (LKPD) using the context of the traditional congklak game to improve junior high school students’ critical thinking skills. This research employed a research and development approach using the ADDIE model, which consists of the analysis, design, development, implementation, and evaluation stages. The research subjects were ninth-grade students of SMP Negeri 5 Satu Atap Sumbermanjing Wetan, selected through purposive sampling. Data were collected through expert validation, teacher and student response questionnaires, as well as pretest and posttest instruments. The expert validation results showed that the developed LKPD obtained a validity percentage of 85.3%, categorized as very valid. The practicality test results indicated percentages of 93.33% from teachers and 82.4% from students, categorized as very practical. The effectiveness test using a paired sample t-test revealed a Sig. (2-tailed) value of 0.000 < 0.05, indicating a significant improvement in students’ critical thinking skills after the implementation of the LKPD. Therefore, the ethnomathematics-based LKPD with the congklak game context is valid, practical, and effective in enhancing students’ critical thinking skills.
Copyright (c) 2026 Nicky Nastity Cahya Ningrum, Ucik Fitri Handayani https://creativecommons.org/licenses/by-nc-sa/4.0
Efektivitas Model Pembelajaran Discovery Ditinjau dari Kemampuan Komunikasi Mahamahasiswa Program Studi Pendidikan Matematika STKIP Hermon Timika
This research is a quasi-experimental study aimed at determining the effectiveness of the discovery learning model in terms of the mathematical communication skills of students. The population of the study consists of all second-semester students, totaling 46 students. The sample of this study includes all second-semester students amounting to 23 students and fourth-semester students also amounting to 23 students selected through purposive sampling techniques. The design used is a pretest-posttest control group design with assessment techniques using test methods. The data collected consists of test scores related to the mathematical communication skills of students. Based on the t-test and proportion test at a significance level of 5%,It was concluded that the discovery learning model is not effective in terms of the mathematical communication skills of students. However, students who participated in discovery learning have higher mathematical communication skills compared to those who underwent conventional learning
Copyright (c) 2026 A Rasul, Ruben Sonda https://creativecommons.org/licenses/by-nc-sa/4.0
Humanisme Dalam Pembelajaran Matematika Di Era Digital: Telaah Filosofis Atas Ancaman Dehumanisasi
Mathematics education in the digital era faces significant challenges, including the risk of dehumanization when students become overly dependent on technology, potentially hindering essential mathematical thinking, reasoning, and reflection. This article aims to philosophically examine mathematics education in the digital era from a humanistic perspective, particularly regarding the threat of dehumanization and efforts to preserve the human dimension in learning. A Systematic Literature Review (SLR) guided by PRISMA was conducted on national and international accredited journal articles from Scopus, ERIC, ResearchGate, SINTA, and Google Scholar published between 2017 and 2025, resulting in 10 relevant articles for thematic analysis. The findings indicate that humanistic philosophy positions students as whole individuals, emphasizes the teacher’s role as a dialogical companion and value guide, and views digital technology as a supportive tool rather than a replacement for human interaction. The study concludes that integrating humanistic values in digital mathematics education is essential to prevent dehumanization, strengthen character development, and ensure learning remains meaningful, ethical, and human centered.
Copyright (c) 2026 Siti Habiba, alifiani https://creativecommons.org/licenses/by-nc-sa/4.0
Efektivitas Chatbot-AI dalam Pembelajaran Matematika melalui Model NHT berbasis PBL di SMPN 3 Binamu
Mathematics learning in the digital era requires instructional strategies that enhance conceptual understanding while fostering students’ motivation and engagement. Integrating artificial intelligence into classroom practice offers a promising solution to these challenges. This study aimed to examine the effectiveness of integrating an AI chatbot into the Numbered Heads Together (NHT) model based on Problem-Based Learning (PBL) in improving students’ mathematical conceptual understanding and learning motivation. A quantitative approach with a quasi-experimental nonequivalent control group design was employed. The sample consisted of two eighth-grade classes at SMPN 3 Binamu, each comprising 30 students. The experimental group received NHT-based PBL integrated with an AI chatbot, whereas the control group received NHT-based PBL without chatbot support. Data were collected through a conceptual understanding test, a learning motivation questionnaire, and an observation sheet, and were analyzed using independent samples t-test, paired samples t-test, N-Gain, and Cohen’s d. The results revealed a significant difference in learning outcomes between the two groups (p < 0.05). The N-Gain and effect size were moderate, students’ motivation was high, and engagement was very good. These findings indicate that integrating an AI chatbot into NHT-based PBL effectively enhances mathematics learning quality.
Copyright (c) 2026 Husriani Husain, Syaharuddin Syaharuddin, Yasriuddin Yasriuddin, Sri Wahyuni Agustina https://creativecommons.org/licenses/by-nc-sa/4.0
Eksplorasi Etnomatematika pada Proses Pembuatan Jajanan Tradisional Kue Putu di Poncokusumo Kabupaten Malang
To address the problem of abstract mathematics learning, a learning approach is needed that connects mathematical concepts to students' real-life contexts. One approach that could provide a solution is ethnomathematics. This study aims to explore the ethnomathematics concept found in the process of making traditional Putu cake and analyze its potential as a mathematics learning medium in Junior High Schools. This study uses a descriptive qualitative method with an ethnographic approach. Data collection was conducted through observation, semi-structured interview with two Putu cake makers and sellers, and documentation at the production site in Sukosari, Pandansari, Poncokusumo, Malang Regency. Data analysis was carried out qualitatively through three stages, namely data reduction, data presentation, and drawing conclusions. The results of the study indicate that each stage of Putu cake making contains mathematical concepts. In the stages of preparing ingredients and making dough, the concepts of spherical geometry, number operations, and comparisons were found through adjusting the measurements of ingredients based on the production quantity. The stages of forming and filling the dough into the mold contain the concepts of cylindrical geometry and hollow cylinder geometry as shown by the uniformity of the size of the bamboo mold. In the steaming stage, the concept of ratio and comparison between mold size and steaming time was found, while in the presentation and packaging stage, the concept of cylindrical geometry reappeared in the final form of Putu cake. Based on these findings, Putu cake has strong potential to be developed as a contextual and local culture-based mathematics learning medium in junior high schools for the material of numbers, ratios, and geometry. Using Putu cake as a learning medium allows students to understand mathematical concepts through real-life experiences while fostering an appreciation for local culture. Further research is recommended to test the effectiveness of using Putu cake as a medium for learning mathematics in the classroom.
Copyright (c) 2026 Indanaa Zulfaa, Annafi Awantagusnik https://creativecommons.org/licenses/by-nc-sa/4.0
Segmentasi Kecamatan di Kota Bandung Berdasarkan Statistik Penyandang Disabilitas Menggunakan Algoritma K-Means Clustering
People with disabilities continue to experience discrimination, stigmatization, and unfulfilled rights. The number of people with disabilities in Bandung City is the second highest in West Java Province. Various factors, including a disability-unfriendly environment, lack of accessibility to public infrastructure, and insufficient social support. This study aims to analyze and segment subdistricts in Bandung City based on disability statistics using the K-Means clustering algorithm. The types of disabilities analyzed include mental disabilities, physical disabilities, physical and mental disabilities, visual impairments, hearing impairments, and other types of disabilities. The results of the study showed that the optimal number of clusters, as determined by the Elbow method, is 2 clusters. A total of 18 subdistricts are classified into Cluster 1, characterized by a relatively lower number of persons with disabilities, while the remaining 12 subdistricts are classified into Cluster 2, which has a relatively higher number of persons with disabilities. The results of this segmentation are expected to support the realization of Bandung City as an inclusive city and to assist the government in developing more targeted policies and programs.
Copyright (c) 2026 Rosni Rosni, Erinna Fredella, Muklas Rivai https://creativecommons.org/licenses/by-nc-sa/4.0
Pengaruh Model Open Ended Berbantuan E-Modul Etnomatematika Tari Gambyong terhadap Kemampuan Pemecahan Masalah Siswa Kelas IX
Penelitian ini bertujuan untuk menganalisis pengaruh model pembelajaran open ended berbasis etnomatematika yang terintegrasi dengan e-modul interaktif terhadap kemampuan pemecahan masalah matematis siswa kelas IX SMP pada materi Sistem Persamaan Linear Dua Variabel (SPLDV). Penelitian ini menggunakan pendekatan kuantitatif dengan desain Pretest-Posttest Control Group, melibatkan 60 siswa yang dipilih secara acak dari populasi 180 siswa. Kelompok eksperimen diberikan perlakuan melalui model open ended berbantuan e-modul berbasis etnomatematika, sedangkan kelompok kontrol menerima pembelajaran konvensional. Data dikumpulkan melalui tes kemampuan pemecahan masalah, angket motivasi, observasi, dan dokumentasi, kemudian dianalisis menggunakan uji normalitas, uji homogenitas, uji-t, serta penghitungan effect size Cohen’s d. Hasil penelitian menunjukkan bahwa rata-rata skor posttest kelas eksperimen sebesar 86,37, lebih tinggi dibandingkan kelas kontrol yang memperoleh 80,60. Hasil uji-t menunjukkan t_hitung = 2,202 > t_tabel = 2,00172, sehingga terdapat perbedaan signifikan antara kedua kelompok. Nilai effect size Cohen’s d = 0,57 termasuk kategori sedang, yang menunjukkan pengaruh positif model pembelajaran ini terhadap kemampuan pemecahan masalah matematis siswa. Temuan ini memberikan kontribusi ilmiah dengan membuktikan efektivitas integrasi model open ended, media digital, dan pendekatan budaya lokal dalam pembelajaran matematika berbasis indikator NCTM. Secara teoretis, penelitian ini memperkuat pendekatan konstruktivistik dan pembelajaran kontekstual, sedangkan secara praktis, hasil ini menegaskan bahwa guru matematika dapat memanfaatkan model open ended berbasis etnomatematika untuk meningkatkan keterlibatan, motivasi, kreativitas, dan kemampuan berpikir kritis siswa. Meskipun pengaruhnya sedang, penerapan jangka panjang diharapkan dapat memperkuat hasil pembelajaran dan generalisasi temuan.
Copyright (c) 2026 Amelia Maulida, Iswahyudi Joko Suprayitno, Martyana Prihaswati https://creativecommons.org/licenses/by-nc-sa/4.0
Learning Interest as a Predictor of Mathematics Achievement among Indonesian Junior High School Students
Programme for International Student Assessment (PISA) reported that many countries, including Indonesia, have not yet reached the expected levels of mathematics proficiency, highlighting the importance of examining internal factors such as students’ learning interest. This study aims to examine students’ learning interest and how it relates to and predicts their mathematics achievement. This quantitative correlational study involved 65 randomly selected seventh-grade students from SMPN 160 East Jakarta, Indonesia. Learning interest was measured using a validated 20-item questionnaire, and mathematics achievement was obtained from mid-semester test scores. Data were analyzed using descriptive statistics, Spearman’s correlation, and rank-based and multiple regression analyses in SPSS 27. The results showed that students generally had moderate levels of learning interest (M = 3.65) and mathematics achievement (M = 78.94). Learning interest was positively related to mathematics achievement (r = 0.64) and significantly predicted students’ mathematics performance (R² = 0.52), with persistence (p = 0.03) and attention (p = 0.04) being the strongest predictors. In conclusion, students’ persistence and attention are key factors in mathematics achievement, indicating that sustained focus and perseverance play a central role in improving mathematics performance.
Copyright (c) 2026 Erlando Doni Sirait, Dwi Dani Apriyani, Vickry Ramdhan, Fajar Erlangga https://creativecommons.org/licenses/by-nc-sa/4.0
The Effectiveness of Differentiated Learning Strategies on Student’s Concept Understanding in Matrix Mathematics
Many students have difficulty understanding mathematical concepts because learning is still quite teacher-centred and does not pay attention to individual learning needs. Differentiated learning is seen as being able to overcome this problem by adjusting content and processes according to students' abilities and learning styles. This study aims to determine the effectiveness of differentiated learning in improving the mathematical concept understanding abilities of grade XI students at SMK Al Khozini Gondanglegi in the subject of matrices. This study used a quantitative method with a quasi-experimental design of the pretest and posttest control group type. The sample consisted of two classes, namely the experimental class with differentiated learning and the control class with conventional learning. Data were obtained from concept comprehension tests and analyzed using statistical tests. The results showed a significant increase in the experimental class with an average post-test score of 82.69 and an N-Gain of 0.57, which was higher than the control class with a post-test score of 68.42 and an N-Gain of 0.51. The t-test also showed a significant difference between the two classes (sig. 0.000 < 0.05). Thus, differentiated learning proved to be more effective than conventional learning in improving students' mathematical concept understanding of matrix material.
Copyright (c) 2026 Abdul Mannan Qoffal, Sunismi https://creativecommons.org/licenses/by-nc-sa/4.0
Penerapan Pembelajaran Model Kooperatif yang Mengoptimalkan Kecerdasan Majemuk untuk Meningkatkan Prestasi Belajar Trigonometri pada Mahasiswa
This study aims to determine the improvement of students’ learning achievement and to examine their responses toward the implementation of a cooperative learning model based on interpersonal and logical-mathematical intelligences in the Trigonometry course. This research employed a quantitative approach with a one-group pretest–posttest design. The subjects consisted of 19 students who were taught using the cooperative learning model over several meetings. Data were collected through achievement tests, student response questionnaires, and learning implementation observation sheets. The results showed that the students’ average achievement score increased from 68.42 to 85.26, with the Wilcoxon Signed Rank Test (Z = -3.922; p < 0.000) indicating a significant difference between the pretest and posttest scores. The N-Gain value of 0.533 fell into the moderate category, indicating that the cooperative learning model was quite effective in improving student achievement. Furthermore, the average student response (85) and learning implementation score (89.47) were both in the very high category, suggesting a positive attitude toward the learning model. Therefore, the implementation of a cooperative learning model based on interpersonal and logical-mathematical intelligences was proven effective in improving student achievement and active engagement in learning Trigonometry.
Copyright (c) 2026 Andi Trisnowali MS, Andi Cahaya Rezky Andini, Ahmad Talib https://creativecommons.org/licenses/by-nc-sa/4.0
Pembelajaran Matematika Berbasis Konsep Dalam Meningkatkan Kompetensi Siswa Dan Mahasiswa: Tinjauan Literatur Sistematis
The objectives of this study were to: 1) Identify the role of concept-based mathematics learning in improving student competencies; 2) Identify factors that influence concept-based mathematics learning; 3) Identify competencies that are influenced by concept-based understanding. This research reviewed 15 from 507 articles in 2014-2024 from the Google Scholar, Scopus database and Sinta 1 indexed national journals. The result of this study is that concept-based mathematics learning can systematically improve students' mathematical competence. The findings of factors that influence concept-based mathematics learning are mathematical mindset and concept understanding of teachers, teaching strategies, conceptual knowledge, and assessment and feedback. Furthermore, concept-based knowledge in this literature review can improve long-term retention, meaningful understanding, critical thinking, metacognition, problem solving and self-regulated.
Copyright (c) 2026 Anjarwati Anjarwati https://creativecommons.org/licenses/by-nc-sa/4.0
Penggunaan batang cuisenaire untuk meningkatkan kemampuan operasi penjumlahan siswa tunagrahita
Students in Grade VIII at Sekolah Luar Biasa (SLB) Negeri Tarakan had difficulty with integer addition operations. To address these difficulties, concrete media such as Cuisenaire rods can be used. Therefore, this research was designed as Classroom Action Research (CAR) aimed at improving integer operation skills through the use of Cuisenaire rods. The CAR was conducted over two cycles, each consisting of planning, action & observation, and reflection. In this study, five students with intellectual disabilities in Grade VIII of SLB Negeri Tarakan were chosen as subjects. Data collection involved observing both teacher and student activities and administering additional skill tests. The results demonstrated progress: in Cycle I, 40% of students achieved learning completeness. Subsequently, there was a 40% increase in Cycle II, bringing the total to 80%, which exceeded the success indicator set at 60%. Furthermore, student activity, which was categorized as fairly active in Cycle I, increased to very active in Cycle II. Similarly, teacher activity improved from good in Cycle I to very good in Cycle II.
Copyright (c) 2026 herawati herawati, Dwi Susanti, Ika Noviantari, Hermansyah https://creativecommons.org/licenses/by-nc-sa/4.0
Analisis kesalahan siswa dalam menyelesaikan kemampuan pemecahan masalah matematis peserta didik pada materi statistika
Problem-solving ability is a crucial component that students must master to support the character-building process. This ability refers to students' capacity to understand problems by identifying what is known and what is being asked, developing a plan, and verifying the accuracy of the results. This study aims to determine mathematical problem-solving abilities and the types of errors made by students in statistics materials. The method used is library research with a qualitative approach through the analysis of various scientific journals. The results show that students' problem-solving abilities are still low due to the failure to complete all stages of the process. Specific errors found include: students failing to write down known and asked elements because they are confused about the problem's intent, and weaknesses in constructing mathematical models, such as failing to include interval values into formulas. Additionally, incomplete answers were found, such as the failure to create pie charts or bar charts due to a lack of technical understanding and feeling rushed. Students also tend to ignore the re-checking phase, resulting in inaccurate final outcomes. The main causes are a lack of mastery of basic concepts and low student precision.
Copyright (c) 2026 Tasya Safa Melinda, Sugeng Sutiarso, Rangga Firdaus https://creativecommons.org/licenses/by-nc-sa/4.0
Analisis Kesalahan Newman Dalam Menyelesaikan Soal Cerita SPLDV Ditinjau Dari Tingkat Kecemasan Matematika Siswa Kelas IX SMPN 6 Mataram
The perception of mathematics as a difficult subject often leads students to make errors. Errors made by students when solving story problems need to be analyzed to determine the cause. Mathematics anxiety is one of the causes of students making errors. This study aims to describe the errors made by students of SMPN 6 Mataram in answering story problems based on Newman's theory in terms of students' level of mathematics anxiety. The type of research used is qualitative. The research instruments used were anxiety level questionnaires, story problem tests, and interview guidelines. The selection of subject in class IX F used a purposive sample with the criteria: (1) students who had learned the system of linear equations in two variables (SPLDV), (2) students who had completed the mathematics anxiety questionnaire, (3) students from one class representing high, moderate, and low levels of mathematics anxiety. The results show that mathematics anxiety influences the types of errors students make in solving SPLDV word problems. Students with high anxiety made errors in comprehension, transformation, process skills, and conclusion stages; those with moderate anxiety in comprehension, process skills, and conclusion; while students with low anxiety mainly erred at the conclusion stage.
Copyright (c) 2026 Sofie Atma Dwiva, Sri Subarinah, Eka Kurniawan https://creativecommons.org/licenses/by-nc-sa/4.0
Pemodelan Premi Asuransi Jiwa Dwiguna Unit Link dengan Metode Annual Ratchet dan Hukum Gompertz
The risk of death is one of the risks that can have a significant impact on an individual’s financial condition. Therefore, protection through life insurance is required. Unit-linked endowment life insurance combines protection and investment benefits, with the premium amount affecting both. This study is a quantitative research with an actuarial modeling approach that aims to model the premium of unit-linked endowment life insurance based on stock investment using the annual ratchet method and Gompertz’s law. Stock returns and volatility are used as the basis for determining investment benefits under the annual ratchet method, using stock data for PT Bank Central Asia Tbk. The annual ratchet method is applied to protect the investment value from market declines by implementing cap and floor limits. Survival and mortality probabilities are modeled using Gompertz’s law. The results of the study show that, based on mortality modeling using Gompertz’s law and the annual ratchet mechanism, the net single premium for unit-linked endowment life insurance that must be paid at the beginning of the contract was Rp 129,098,509. These results show that applying the annual ratchet method can protect against fluctuations in investment value while accounting for mortality risk in premium determination, making the resulting model an alternative for developing more stable unit-linked life insurance products.
Copyright (c) 2026 Aldila Nur Indah Berliana Ratam, Marisa, Agus Irawan, Nasrullah https://creativecommons.org/licenses/by-nc-sa/4.0
Analisis Deskriptif Kemampuan Literasi Matematis Siswa Kelas VII dalam Menyelesaikan Soal Cerita
Penelitian ini mengkaji kemampuan literasi matematis siswa kelas VII dalam menyelesaikan soal cerita yang dilatarbelakangi oleh masih rendahnya kemampuan siswa dalam memahami permasalahan kontekstual dan mentransformasikannya ke dalam model matematika. Penelitian ini bertujuan mendeskripsikan kemampuan literasi matematis siswa berdasarkan indicator memahami konteks masalah, melakukan matematisasi, menggunakan konsep dan prosedur matematika, serta menafsirkan hasil penyelesaian. Penelitian menggunakan pendekatan deskriptif kualitatif yang dilaksanakan di MTs Nida’ul Khairaat Pombewe dengan subjek 30 siswa kelas VII yang dipilih melalui purposive sampling. Pengumpulan data dilakukan melalui tes tertulis berupa tiga soal cerita matematika dan wawancara terhadap tiga siswa yang mewakili kategori kemampuan rendah, sedang, dan tinggi. Analisis data dilakukan melalui reduksi data, penyajian data, dan penarikan kesimpulan, sedangkan keabsahan data diperoleh melalui triangulasi sumber dan member check. Hasil penelitian menunjukkan bahwa kemampuan literasi matematis siswa terbagi ke dalam tiga kategori, yaitu rendah (46,7%), sedang (30%), dan tinggi (23%). Siswa pada kategori rendah mengalami kesulitan dalam memahami konteks masalah dan membangun model matematika, siswa kategori sedang mampu mengidentifikasi informasi namun masih lemah dalam penalaran dan interpretasi, sedangkan siswa kategori tinggi menunjukkan strategi penyelesaian yang lebih sistematis dan reflektif. Temuan ini memberikan Gambaran empiris mengenai profil literasi matematis siswa serta mengimplikasikan pentingnya pembelajaran berbasis masalah kontekstual dan pemberian Latihan soal literasi matematis secara berkelanjutan.
Copyright (c) 2026 Anggun Marwah Silfana T Yanamo Yanamo, Rafiq Badjeber, Yulia https://creativecommons.org/licenses/by-nc-sa/4.0
Pengaruh Kecemasan Matematika dan Prokrastinasi Akademik Terhadap Hasil Belajar Siswa
This study aims to determine the effect of mathematics anxiety and academic procrastination on the learning outcomes of eighth-grade students at a public junior high school in West Lombok regarding exponents during the 2025/2026 academic year. This research employed a quantitative approach using the ex-post facto method. The sample consisted of 55 students selected through a simple random sampling technique. The research instruments included a mathematics anxiety questionnaire, an academic procrastination questionnaire, and a mathematics achievement test. Data were analyzed using simple and multiple linear regression with the assistance of SPSS. The results showed that mathematics anxiety had a negative and significant effect on students’ learning outcomes, with a significance value of 0.006 < 0.05 and a regression coefficient of –1.008. Academic procrastination also had a negative and significant effect, with a significance value of 0.046 < 0.05 and a regression coefficient of –1.314. Simultaneously, both variables significantly affected learning outcomes, as indicated by an F-value of 16.239 and a significance value of 0.000 < 0.05. The coefficient of determination (R2) was 0.384, indicating that 38.4% of the variation in learning outcomes was explained by mathematics anxiety and academic procrastination, while the remaining 61.6% was influenced by other factors beyond this study. These findings emphasize the important role of affective and behavioral factors in supporting students’ mathematics achievement.
Copyright (c) 2026 Inas Nada Nailussulha, Nurul Hikmah, Dwi Novitasari https://creativecommons.org/licenses/by-nc-sa/4.0
APOS Theory and Relational Understanding: A Systematic Literature Review
Relational understanding is an essential skill that reflects students' mastery of the relationships between mathematical concepts, while APOS Theory provides a framework for analyzing the mental construction of this understanding. This study aims to identify and compare the application of APOS Theory and relational understanding in the context of mathematics learning. This study used the Systematic Literature Review (SLR) method based on the PRISMA framework. The literature search was conducted in the Scopus and Google Scholar databases with publications limited to 2014 to 2024, focused on elementary and secondary school levels. Of the 228 identified studies, 11 empirical articles were selected for analysis. The review results showed significant differences in the focus of the material; APOS Theory is predominantly applied to number topics and is often used as a basis for developing assessment instruments. In contrast, relational understanding is more widely studied in algebra topics. Furthermore, it was found that the problem-solving approach is a major factor influencing the formation of students' relational understanding. These findings offer educators insights into selecting pedagogical approaches that are suitable for the material's characteristics.
Copyright (c) 2026 Anastasya Ramadiana, Riyadi, Diari Indriati, Farida Nurhasanah https://creativecommons.org/licenses/by-nc-sa/4.0
Conflicting narratives in student group dynamics when addressing exponential material contextual problems
Commognitive conflict often occurs in students at the beginning of their. This study aims to describe commognitive conflict, based on narratives experienced by students when solving contextual problems on exponential material. This study is a qualitative study with purposive sampling. A total of 20 undergraduate students of the Mathematics Education as a participant. They worked on one problem independently for 30 minutes, then their work was grouped based on correct and incorrect results. The incorrect results were divided into two groups. Each group selected one person as a research subject. Their answers were clarified through in-depth semi-structured interviews to obtain information about the causes of the conflict. The results showed that the conflict caused by their understanding of the knowledge they gained in high school was not mastered properly. Students become confused and unsure of the accuracy of their answers and knowledge. However, ultimately, accepting the new knowledge conveyed by experts is one solution. This conflict can be minimized by repeating the material from high school, which can be in the form of worksheets or assignments, so that commognitive conflict is expected to prevent recurrence.
Copyright (c) 2026 Endrayana Putut Laksminto Emanuel, Herfa Maulina Dewi Soewardini, Meilantifa Meilantifa, Radhitya Duta Pradana, Sikky El Walida https://creativecommons.org/licenses/by-nc-sa/4.0
Kemampuan Berpikir Analitis Siswa Kelas X SMA Raudlatul Ulum Gondanglegi dalam Menyelesaikan Soal Kontekstual Bilangan Berpangkat
This study aims to describe the analytical thinking ability of tenth-grade students in solving exponentiation problems. The research employed a qualitative descriptive approach involving 33 tenth-grade students of SMA Raudlatul Ulum Gondanglegi as the initial data source. Based on the test results, students were classified into three categories of analytical thinking ability, namely high, medium, and low. Furthermore, four students were purposively selected as research subjects for in-depth analysis. The research instruments consisted of one contextual problem and semi- structured interviews. Data were analyzed using the Miles and Huberman model. The findings indicate differences in the characteristics of students’ analytical thinking processes across ability categories, particularly at the stages of determining and testing problem-solving strategies.
Copyright (c) 2026 Dahriyah Dahriyah, Annafi Awantagusnik https://creativecommons.org/licenses/by-nc-sa/4.0
Contextual Teaching and Learning (CTL) dalam Perspektif Ontologi dan Epistemologi Filsafat Pendidikan Matematika
Mathematics learning is often perceived as an abstract activity detached from students’ real-life contexts, which results in low meaningfulness and conceptual understanding. The Contextual Teaching and Learning approach offers an alternative by connecting mathematical concepts to students’ real experiences; however, studies examining this approach from the perspective of the philosophy of mathematics education remain limited. This research aims to analyze the implementation of Contextual Teaching and Learning from the ontological and epistemological perspectives of the philosophy of mathematics education. This study employs a qualitative method in the form of library research, combined with descriptive and philosophical analysis of CTL from ontological and epistemological viewpoints within the philosophy of mathematics education. The findings indicate that, ontologically, CTL views mathematics as meaningful and contextual knowledge whose existence is understood through students’ learning experiences. Epistemologically, CTL is grounded in constructivism, positioning students as active subjects who construct mathematical knowledge through experience, interaction, and reflection. The synthesis of these two perspectives affirms that CTL is not merely a teaching approach, but rather a philosophically coherent paradigm of mathematics education. The conclusion of this study demonstrates that the implementation of CTL has a strong philosophical foundation and is relevant for fostering meaningful, contextual mathematics learning oriented toward students’ conceptual understanding.
Copyright (c) 2026 Riky Irawan, Anies Fuady https://creativecommons.org/licenses/by-nc-sa/4.0
Penerapan Model Pembelajaran Discovery Learning Berbentuan Geogebra Untuk Meningkatkan Kemampuan Berpikir Kreatif Siswa SMP
This study was motivated by the low level of creative thinking skills among junior high school students in the subject of flat-sided solid geometry and the dominance of conventional learning methods that do not encourage concept exploration. This study aims to describe the application of the GeoGebra-assisted Discovery Learning model and examine the improvement in students' creative thinking skills. This research employed a classroom action research design through the stages of planning, action, observation, and reflection. The research subjects were eighth-grade junior high school students. The instruments used included a creative thinking ability test, observation sheets, and documentation. The results showed an increase in creative thinking skills in each cycle, as indicated by improvements in the indicators of fluency, flexibility, originality, and elaboration. Learning became more interactive, students were more active in exploring concepts, and were able to find various problem-solving strategies. Theoretically, these results reinforce the constructivist paradigm that mathematical creativity develops through structured exploration and discovery. Practically, this model can be an alternative for learning spatial geometry by paying attention to time management and optimal syntax implementation.
Copyright (c) 2026 M. Tata Aulia Rahman, Sri Andayani, Farizal Ramadhan https://creativecommons.org/licenses/by-nc-sa/4.0
Strategi Peningkatan Hasil PISA Level 2 Berbasis Analisis Kesalahan Change and Relationships Siswa SMP
Indonesian students' mathematical literacy in PISA assessments remains low,particularly in the Change and Relationships content area. Most existing studies are quantitative and therefore have not revealed the cognitive processes underlying student errors. This study aims to analyze errors and problem-solving strategies of eighth-grade students in solving PISA Change and Relationships Level 2 problems using the PISA mathematical literacy framework (formulate–employ–interpret). A qualitative case study approach was employed,involving 15 eighth-grade students from SMP Al Wildan Islamic School 22 Makassar. The test instrument consisted of three PISA Level 2 tasks with contexts of goods pricing, intravenous drip rate,and currency exchange. Six students were selected through purposive sampling for in-depth interviews. Data were collected through diagnostic tests, semi-structured interviews,and documentation of student work,then analyzed using source triangulation. Results show that average answer accuracy is only 44.4%,with three consistently identified error categories: representation and modeling errors at the formulate stage, procedural errors at the employ stage,and absent result verification habits at the interpret stage. Successful students demonstrate relational understanding and strong metacognitive awareness. This study contributes a specific error mapping per PISA mathematical literacy stage for Change and Relationships Level 2 content,along with operationally distinct intervention recommendations for each error category
Copyright (c) 2026 Husriani Husain, St. Nur Khalifah Ali, Abdul Rahman, Bernard Bernard https://creativecommons.org/licenses/by-nc-sa/4.0
Pengembangan Math Domino Cards Untuk Meningkatkan Pemahaman Konsep Bilangan Bulat Siswa Kelas VII SMP/MTs
This study focused on developing and testing the feasibility of Math Domino Cards as a learning medium for integer material by reviewing its validity, practicality, and effectiveness in improving the conceptual understanding of SMP/MTs. The method used was Research and Development (R&D) with a 4D model that included the stages of define, design, develop, and disseminate. The study involved 34 students from class VII MTs Mu’allimin NWDI Pancor as test subjects. The instruments used included material and media expert assessment sheets, practicality questionnaires for teachers and students, and concept comprehension tests conducted through pre-tests and post-tests. Data analysis was performed using quantitative descriptive statistics, N-Gain calculations, and paired t-tests. The results of the analysis showed that the Math Domino Cards media was in the valid category with a percentage of material expert and media expert assessments of 75% each. The practicality of the media was classified as good based on the responses of 77% of teachers and 71.98% of students. Effectiveness testing showed an increase in understanding of integer concepts with an N-Gain value of 0.3008 in the moderate category, as well as a significant difference between the pretest and post-test results based on the paired t-test. These findings indicate that the application of integer-based domino card games through the 4D model is feasible and has the potential to improve the quality of students' understanding of mathematical concepts.
Copyright (c) 2026 Siti Aisah, Mukarromatul Isnaini, Sinar Marhamah, Ahmad Rasidi, Sri Supiyati https://creativecommons.org/licenses/by-nc-sa/4.0
Optimasi Rute Distribusi Logistik Bencana Tsunami Aceh Menggunakan Algoritma Ant Colony Optimization (ACO)
This study aims to optimize the tsunami disaster logistics distribution route in Aceh Province by using the Ant Colony Optimization (ACO) algorithm combined with parameter tuning. Aceh is an area with a high level of earthquake vulnerability, making it prone to tsunamis such as the one that occurred in 2004, thus requiring a fast and efficient logistics distribution system. The Aceh Logistics Building was designated as the distribution center, while nine evacuation points from the evacuation route map of the Banda Aceh City GIS Technical Implementation Unit (UPTB) were used as destination points. The distances between points were calculated using Google Maps and arranged in a distance matrix. Parameter tuning was performed using the Grid Search method through MATLAB to determine the shortest route. The results of the study show that the minimum total distance obtained is 664.3 km to reach all evacuation points and return to the logistics warehouse. This value is smaller compared to the route before the parameter tuning process, indicating an improvement in distribution efficiency. Therefore, the implementation of the ACO algorithm combined with the Grid Search method is able to produce a more optimal route and support faster and more targeted logistics distribution in emergency conditions.
Copyright (c) 2026 Susila Bahri, Alti Vanie Diandra Eka Putri, Azzah Marsa Amalia, Dea Andini, Lelen Purnama Sari, Bayu Anugrah, Muhammad Hasbi Ahzani https://creativecommons.org/licenses/by-nc-sa/4.0
Pengaruh Pembelajaran Matematika Realistik dengan Konteks Tenun Sasak Terhadap Hasil Belajar Pola Bilangan: Studi Quasi Eksperimen Pada Siswa Kelas VII
Rendahnya hasil belajar menjadi perhatian penting karena hasil belajar merupakan gambaran ketercapaian pembelajaran oleh siswa. Pengajaran dianggap berhasil jika siswa mencapai tujuan pembelajaran yang telah ditentukan. Penelitian ini bertujuan untuk mengetahui perbedaan dan besar pengaruh pembelajaran matematika realistik terhadap hasil belajar siswa kelas VIII. Penelitian ini merupakan penelitian eksperimen dengan desain quasi-eksperimental posstest only control group design. Populasi penelitian adalah seluruh siswa kelas VIII dengan jumlah sampel 53 dimana kelas VIII C sebagai kelas eksperimen dan kelas VIII D sebagai kelas kontrol yang dipilih dengan teknik cluster random sampling. Instrumen yang digunakan dalam penelitian ini berupa soal tes uraian. Dilakukan uji prasyarat yang meliputi uji normalitas dan uji homogenitas. Kemudian dilanjutkan dengan analisis data menggunakan uji-t dan uji effect size. Berdasarkan hasil penelitian menunjukkan 1). Terdapat perbedaan rata-rata hasil belajar siswa pada kelas eksperimen dan kelas kontrol dengan nilai rata-rata dikelas eksperimen sebesar 66 (nilai tersebut lebih tinggi dibandingkan kelas kontrol dengan nilai rata-rata 53). Dengan menggunakan rumus cohen’s diperoleh nilai d = 0.945 sehingga model pembelajaran yang diterapkan memiliki pengaruh tinggi terhadap peningkatan hasil belajar. Kesimpulannya dengan menggunakan model pembelajaran matematika realistik pada topik pola bilangan berpengaruh terhadap hasil belajar siswa kelas VIII. Model Pembelajran dapat digunakan sebagai alternatif pembelajran untuk meningkatkan hasil belajar matematika siswa.
Copyright (c) 2026 Aulia Tsabita, Laila Hayati, Tabita Wahyu Triutami https://creativecommons.org/licenses/by-nc-sa/4.0
Pengembangan Media Pembelajaran BARA (Bangun Ruang Augmented Reality) Mata Pelajaran Matematika Kelas V SD
This study aims to develop, determine the quality, and practicality of BARA (Building Augmented Reality Space) learning media in Mathematics for fifth-grade elementary school students. The background of the study is the difficulty of students in understanding abstract mathematical concepts, resulting in low motivation and learning activity. This study uses the Research and Development (R&D) research type with the ADDIE (Analysis, Design, Development, Implementation, and Evaluation) model. The developed media utilizes the Assemblr Edu platform to present interactive 3D objects, so that abstract concepts become more concrete and visual. The quality of the media is assessed by material experts and media experts, while practicality is measured through student responses. The validation results from material experts obtained a score of 98.3% (Very Good) and media experts 86.6% (Very Good). Furthermore, the practicality test conducted on 19 fifth-grade students of SDN Wirosaban resulted in a score of 93.1% (Very Practical). These findings indicate that BARA media is a quality and practical learning media. It is concluded that this Augmented Reality spatial media is suitable for use and can be an effective innovative solution to increase students' motivation and understanding of spatial material in Elementary Schools, in line with the demands of 21st century learning
Copyright (c) 2026 Nur Akhmad Fauzi, Unik Ambar Wati, Mely Agustin Rahma Sari, Wiwik Wahidah, Nofian Nur Romadhon https://creativecommons.org/licenses/by-nc-sa/4.0
Pengembangan LKPD Berbasis AR dengan Pendekatan Kontekstual untuk Meningkatkan Pemahaman Konsep Matematika Siswa
Pembelajaran matematika masih menghadapi permasalahan rendahnya kemampuan pemahaman konsep siswa, khususnya pada materi yang bersifat abstrak, akibat keterbatasan media dan pendekatan pembelajaran yang kurang kontekstual. Kondisi ini menuntut pengembangan media pembelajaran inovatif yang mampu mengaitkan konsep matematika dengan pengalaman nyata siswa serta memanfaatkan kemajuan teknologi. Penelitian ini bertujuan untuk mengembangkan Lembar Kerja Peserta Didik (LKPD) berbasis Augmented Reality (AR) dengan pendekatan kontekstual serta menguji kevalidan, kepraktisan, dan keefektifannya dalam meningkatkan pemahaman konsep matematika siswa. Penelitian ini menggunakan metode Research and Development (R&D) dengan model ADDIE yang meliputi tahap analisis, desain, pengembangan, implementasi, dan evaluasi. Subjek penelitian terdiri atas siswa kelas X MAN 1 Bandar Lampung. Pengumpulan data dilakukan melalui wawancara, observasi, angket, dan tes pemahaman konsep matematika, sedangkan analisis data meliputi uji validitas, kepraktisan, dan uji efektivitas menggunakan uji t. Hasil penelitian menunjukkan bahwa LKPD berbasis AR dengan pendekatan kontekstual memenuhi kriteria valid dan praktis, serta efektif meningkatkan kemampuan pemahaman konsep matematika siswa, yang ditunjukkan oleh perbedaan signifikan hasil posttest antara kelas eksperimen dan kelas kontrol.
Copyright (c) 2026 Endri Yeni, Sugeng Sutiarso, Undang Rosidin https://creativecommons.org/licenses/by-nc-sa/4.0
Existence and Uniqueness in Infinite-Horizon LQ Control via Sontag-Based Riccati Analysis
This paper examines the existence and uniqueness of solutions to Linear Quadratic (LQ) optimal control problems with infinite time horizons in time-varying dynamic systems. By extending Sontag's Theorem to semi-infinite intervals, the properties of The Riccati Differential Equation’s solutions are analyzed under assumptions of essential boundedness and boundedness of the system matrix and cost weights. It is proven that the Riccati matrix solution P(t) exists globally, remains positive definite, and converges to the steady-state limit P∞. The uniqueness of the optimal control–state pair (x,u) is obtained through P(t)-based co-state analysis. Simulations on satellite attitude control systems demonstrate convergence and robustness towards periodic disturbances, supporting applications in adaptive control, robust estimation, and time-varying filtering.
Copyright (c) 2026 Budi Rudianto, Muhafzan Muhafzan, Mahdhivan Syafwan, Syafrizal Sy https://creativecommons.org/licenses/by-nc-sa/4.0
Pengembangan LKPD Berbantuan Komik Matematika Menggunakan Model Guide Inquiry untuk Memfasilitasi Literasi Matematis
This study aims to develop mathematics comic-assisted teaching materials using the Guided Inquiry learning model to facilitate students’ mathematical literacy skills on the topic of Statistics for seventh-grade students at SMP Adab Kesuma Bangsa. The background of this research stems from the low level of students’ mathematical literacy, as indicated by their difficulties in understanding contextual problems, interpreting data, and connecting mathematical concepts to real-life situations. The research employed a Research and Development (R&D) method with the ADDIE development model, consisting of the stages of Analyze, Design, Develop, Implement, and Evaluate. The validation results by material experts obtained a score of 0.81 categorized as “very valid,” while media experts obtained a score of 0.82 also categorized as “very valid.” The practicality test showed a student response score of 0.87 and a teacher response score of 0.88, both in the “very practical” category. The effectiveness of the teaching material was tested using a t-test with a significance value of <0.05, indicating a difference in the average mathematical literacy ability between the experimental and control classes. Thus, the developed mathematics comic-assisted teaching material is declared valid, practical, and effective in facilitating students’ mathematical literacy skills and can serve as an innovative alternative in mathematics learning at the junior high school level.
Copyright (c) 2026 Ahmad Saipul Rokhim, Sugeng Sutiarso, Undang Rosidin https://creativecommons.org/licenses/by-nc-sa/4.0
Pengaruh Model Pembelajaran Contextual Teaching and Learning (CTL) Berbantuan Video Pembelajaran terhadap Pemahaman Siswa Kelas 7 SMP
This study aims to examine the effect of the Contextual Teaching and Learning (CTL) model on students’ mathematics achievement. The study is motivated by the need for instructional approaches that connect mathematical concepts to real-life contexts in order to enhance students’ understanding and engagement. A quantitative approach was employed using a quasi-experimental design with a pretest–posttest control group. The participants consisted of two classes: an experimental group taught using CTL and a control group taught using conventional instruction, with 30 students in each group. The research instrument was a mathematics achievement test scored on a 0–100 scale, administered as both a pretest and a posttest. Data were analyzed using prerequisite tests (normality and homogeneity) followed by an independent-samples t-test at a 0.05 significance level. The results indicate a statistically significant difference in posttest mathematics achievement between students who learned through CTL and those who received conventional instruction. These findings suggest that CTL is more effective in supporting students’ conceptual understanding and their ability to apply mathematical ideas through meaningful, context-based learning activities. Therefore, CTL is recommended as an alternative instructional model to improve students’ mathematics learning outcomes.
Copyright (c) 2026 Argulana Candra Hariyanto, Isbadar Nursit, Fadhila Kartika Sari, Dyah Werdiningsih https://creativecommons.org/licenses/by-nc-sa/4.0
The Correlation Between Self-Efficacy and Critical Thinking Skills of Senior High School Students on the Pythagorean Theorem Material
The objective of the research is to examine the correlation between self-efficacy and mathematical critical thinking skills among senior high school students within the context of the Pythagorean Theorem. Self-efficacy refers to students’ beliefs in their ability to complete learning tasks, while mathematical critical thinking involves analyzing problems, evaluating strategies, and making logical decisions. Employing a quantitative correlational design, the research involved 140 tenth-grade students from a senior high school in Jakarta selected using purposive sampling. Data were collected using a mathematical critical thinking test and a self-efficacy questionnaire. The normality test indicated that the data were normally distributed; therefore, Pearson’s correlation analysis was applied. The results revealed a positive and statistically significant relationship between self-efficacy and students’ critical thinking ability, with a correlation coefficient of r = 0.771 and a significance value of p < 0.01. These findings indicate that higher levels of self-efficacy are associated with stronger mathematical critical thinking skills. The study highlights the importance of fostering students’ self-efficacy as an affective foundation to enhance critical thinking skills and offer meaningful implications for improving teaching and learning practices in secondary education.
Copyright (c) 2026 Leni Marlena, Esti Ambar Nugraheni https://creativecommons.org/licenses/by-nc-sa/4.0
Pengembangan Media Pembelajaran Matematika Berbasis Canva Pada Materi Pola Bilangan
This research is a research and development (R&D) project that aims to produce a Canva-based interactive learning media entitled "POLANDIA: Number Patterns in Mathematics" on the Number Patterns material for eighth-grade junior high school students and to test its effectiveness in improving student learning outcomes. The development model used is ADDIE, which includes the stages of analysis, design, development, implementation, and evaluation. The subjects of the study were eighth-grade junior high school students who were involved in the limited trial and field trial stages. The learning media were designed with attractive visual displays, interactive animations, and Google Form-based evaluation quizzes to help students understand the abstract concept of Number Patterns. Data collection techniques included learning outcome tests, student response questionnaires, and expert validation sheets. Data were analyzed descriptively, quantitatively, and qualitatively. The results showed that the "POLANDIA" learning media was effective in use, as indicated by a classical learning completion rate of 92.86%, as well as positive student responses to its use. Thus, the Canva-based interactive learning media "POLANDIA" can be an innovative and effective alternative in digital mathematics learning at the junior high school level.
Copyright (c) 2026 Leony Eriani Johanis, Bakher Nenotaek https://creativecommons.org/licenses/by-nc-sa/4.0
Pengembangan Media Pembelajaran Flipbook Interaktif Pada Materi Operasi Hitung Bilangan Bulat Untuk Siswa Kelas V Sekolah Dasar
Penelitian ini bertujuan untuk mengembangkan media pembelajaran matematika berbasis flipbook interaktif pada materi operasi hitung bilangan bulat. Latar belakang penelitian didasarkan pada rendahnya motivasi dan pemahaman peserta didik terhadap materi yang bersifat abstrak, serta keterbatasan guru dalam mengembangkan media berbasis teknologi. Subjek penelitian ini yaitu siswa kelas V SD Negeri Wirosaban. Penelitian menggunakan jenis penelitian Research and Development (R&D) dengan model ADDIE yang mencakup tahapan analisis, desain, pengembangan, implementasi, dan evaluasi. Hasil validasi media menunjukkan kualitas sangat baik dengan skor dari ahli media sebesar 82,5% dan ahli materi 91%. Uji kepraktisan juga menunjukkan hasil sangat baik, yakni 84,4% dari siswa menilai media sudah bagus, dilengkapi materi yang lengkap, mudah dipahami, menarik, dan menyenangkan.Media ini dinilai layak dan praktis digunakan sebagai alternatif pembelajaran inovatif digunakan siswa dalam memahami konsep operasi hitungan bulat. Penelitian ini menunjukkan bahwa integrasi media inovatif dalam pembelajaran dapat memberikan pengalaman belajar yang lebih interaktif, menarik, dan relevan dengan kebutuhan saat ini.
Copyright (c) 2026 Nofian Nur Romadhon, Unik Ambar Wati, Nur Akhmad Fauzi https://creativecommons.org/licenses/by-nc-sa/4.0
Perspektif Gaya Kognitif: Eksplorasi Kesalahan Matematis Siswa pada Materi SPLDV
This descriptive qualitative study maps the locations and etiological factors of mathematical errors among eighth-grade students in solving Linear Equations in Two Variables (LETV), analyzed through cognitive style typologies. Using purposive sampling, five representative subjects two Field Independent (FI) and three Field Dependent (FD) students—were selected. Data triangulation involved the Group Embedded Figures Test (GEFT), a problem-solving test, and clinical interviews, analyzed through an interactive model of reduction, display, and verification. Results indicate that FI students commit conceptual errors due to lack of thoroughness, principle errors from personalized methods, and procedural errors from unsystematic approaches. Conversely, FD students exhibit conceptual errors from misunderstanding prerequisites, principle errors in mathematical modeling, and procedural errors due to inappropriate methods and low arithmetic accuracy. The study emphasizes the necessity of instructional differentiation: teachers should provide systematization exercises for FI students to minimize carelessness and intensive scaffolding for FD students to improve their transformation of word problems into formal models. This approach aims to reduce cognitive barriers by addressing specific learning characteristics.
Copyright (c) 2026 Nurmala R, Dewi Oktavia, Hariaty Hamid https://creativecommons.org/licenses/by-nc-sa/4.0
Analisis Kemampuan Literasi Matematis Pada Materi Sistem Persamaan Linear Dua Variabel Berdasarkan Jenis Kelamin
Mathematical literacy is an important ability that enables students to formulate, apply, and interpret mathematics in various real-life contexts. This study aims to analyze students' mathematical literacy skills on the material of Two-Variable Linear Equation Systems based on the gender of class VIII students of SMPN 2 Mataram. This study uses a descriptive qualitative approach. The research subjects consisted of 37 class VIII A students, then two male students and two female students were selected as research subjects based on test results. Data collection techniques were carried out through tests and interviews. Data analysis was carried out based on six indicators of mathematical literacy, namely communication, representation, mathematization, designing problem-solving strategies, use of operations and symbolic language, and reasoning and giving reasons. The results showed that both male and female students had good mathematical literacy skills, but there were differences in presenting answers. Male students tended to be stronger in oral explanations but less in written answers, while female students were more careful, systematic, and consistent in written solutions. This difference indicates that variation in ability is more evident in the accuracy and method of solution delivery. This research demonstrates the need to implement more inclusive and differentiated learning strategies.
Copyright (c) 2026 Baiq Hana Febriana, Sudi Prayitno, Ratna Yulis Tyaningsih https://creativecommons.org/licenses/by-nc-sa/4.0
Analisis Kemampuan Pemecahan Masalah Matematis Siswa ditinjau dari Disposisi Matematis Siswa Pada Materi (SPLDV) Kelas IX SMPN 6 Mataram
Penelitian ini bertujuan mendeskripsikan kemampuan pemecahan masalah matematis siswa berdasarkan disposisi matematis pada materi Sistem Persamaan Linear Dua Variabel (SPLDV). Subjek penelitian adalah sembilan siswa kelas IX-B SMP Negeri 6 Mataram yang mewakili disposisi matematis tinggi, sedang, dan rendah. Data dikumpulkan melalui angket disposisi matematis, tes kemampuan pemecahan masalah, dan wawancara, kemudian dianalisis berdasarkan empat indikator pemecahan masalah, yaitu memahami masalah, merencanakan strategi, melaksanakan strategi, dan memeriksa kembali hasil. Hasil penelitian menunjukkan bahwa siswa dengan disposisi matematis tinggi mampu menyelesaikan masalah secara runtut dan tepat pada seluruh tahapan, siswa dengan disposisi sedang cukup baik pada tahap memahami masalah dan merencanakan strategi namun belum optimal pada tahap pelaksanaan dan pemeriksaan kembali, sedangkan siswa dengan disposisi rendah mengalami kesulitan pada hampir seluruh tahapan, khususnya pelaksanaan strategi dan refleksi hasil. Temuan ini menegaskan bahwa semakin tinggi disposisi matematis siswa, semakin baik kemampuan pemecahan masalah matematisnya, sehingga pembelajaran matematika perlu menekankan pengembangan disposisi matematis selain penguasaan konsep.
Copyright (c) 2026 Ibratun Nisa, Laila Hayati, Ratna Yulis Tyaningsih https://creativecommons.org/licenses/by-nc-sa/4.0
The Effect Of Problem Based Learning Models On The Mathematical Literacy Skills Of Eighth Grade Students At Smpn 13 Mataram Academic Year 2024/2025.
The problem addressed in this study is the low level of mathematical literacy among eighth-grade students at SMPN 13 Mataram regarding flat-sided three-dimensional shapes. This study aims to determine the effect of the Problem-Based Learning (PBL) model on the mathematical literacy of eighth-grade students at SMPN 13 Mataram regarding flat-sided three-dimensional shapes. This study is a quasi-experimental study with a posttest-only control group design. The population in this study consists of eighth-grade students at SMPN 13 Mataram, comprising 5 classes with a total of 178 students. The sample in this study consisted of 72 students selected using cluster random sampling, resulting in Class VIII C being designated as the experimental class receiving PBL instruction and Class VIII D as the control class receiving Direct Instruction. The research instrument was a mathematics literacy test based on three indicators: formulate, employ, and interpret. Data were analyzed using normality and homogeneity tests, as well as a t-test. The results showed a significant difference in the average mathematical literacy skills between Class C and Class D, with a p-value of 0.0000 and an effect size of 2.75, which falls into the very large category. Thus, it is concluded that the PBL model has an effect on the mathematical literacy skills of eighth-grade students at SMPN 13 Mataram regarding the topic of flat-sided three-dimensional shapes.
Copyright (c) 2026 As Syifa Umiturrahma, Baidowi, Dwi Novitasari https://creativecommons.org/licenses/by-nc-sa/4.0
Sistem literatur review: analisis kemampuan berpikir komputasi siswa dalam menyelesaikan pembelajaran matematika materi SPLDV
This research is driven by the importance of computational thinking as a crucial foundation for students to face 21st-century challenges. Computational thinking is a logical and systematic problem-solving process that includes the ability to recognize patterns, perform decomposition, and design algorithms. In mathematics education, this ability is categorized as Higher Order Thinking Skills, which functions to simplify complex problems, specifically in the topic of Systems of Linear Equations in Two Variables. However, in reality, the computational thinking skills of students in Indonesia are still low or below the minimum mastery criteria. Therefore, this study aims to analyze the obstacles to students' computational thinking skills in solving the problems using the Systematic Literature Review method. Data were collected from scientific journal databases published within the last five to ten years. The results indicate significant obstacles in the abstraction indicator, where students fail to transform word problems into correct mathematical symbols. Additionally, in the algorithmic indicator, students are not yet able to arrange completion steps systematically. Such transformation errors at the initial stage cause the final solution to be invalid. In conclusion, a comprehensive strengthening of the computational thinking framework is essential for students to solve mathematical problems logically and structurally
Copyright (c) 2026 Yuli Puspita_Sari; Nurhanurawati; Chika Rahayu https://creativecommons.org/licenses/by-nc-sa/4.0
Penggunaan Video Animasi Pembelajaran dengan Pendekatan Kontekstual Terhadap Kemampuan Literasi Numerasi Siswa
Numeracy literacy is an important competency that must be developed in 21st-century learning, particularly in the Independent Curriculum, which emphasizes contextual understanding and the application of knowledge in real life. This study aims to determine the use of animated learning videos with a contextual approach to improving students' numeracy literacy skills. This study used a quantitative method with a quasi-experimental method using a Pretest-Posttest Control Group Design. The research subjects consisted of two classes VII at MTs Miftahul Ulum, namely class VIIA as the control class (14 students) which used conventional learning, and class VIIB as the experimental class (15 students) which used animated learning videos with a contextual approach.Data were collected through pre-tests and post-tests, then analyzed using the Shapiro–Wilk normality test, Levene's homogeneity test, and the Paired Sample T-Test using SPSS version 25. The analysis results showed that all data were normally distributed and homogeneous. There was a significant increase between pre-test and post-test scores in both classes, with a higher increase in the experimental class. Thus, the use of animated learning videos with a contextual approach has a positive and significant effect on students' numeracy literacy skills. Keywords: animated video; contextual approach; numeracy literacy; mathematics learning.
Copyright (c) 2026 Lailatul Mufidah, Annafi Awantagusnik https://creativecommons.org/licenses/by-nc-sa/4.0
Profil Kreativitas Siswa Reflektif dan Impulsif Sekolah Dasar dalam Menyelesaikan Masalah Open-Ended Matematika
This study aims to describe the creativity profile of students with reflective and impulsive cognitive styles in solving open-ended mathematical problems involving fractions. This study is descriptive qualitative in nature. The subjects of this study were fifth-grade students at Surojoyo Public Elementary School who were selected through the Matching Familiar Figure Test (MFFT), consisting of two reflective students and two impulsive students. The subject selection technique was purposive sampling. The data collection techniques used open-ended problem tests and in-depth interviews. Data analysis was carried out through data reduction, data presentation, and conclusion drawing. The results showed that reflective students optimally fulfilled the four indicators of creativity, namely fluency, flexibility, originality, and elaboration. Reflective students were able to produce various alternative answers, use diverse strategies, and explain the steps to the solution in detail. In contrast, impulsive students only showed good ability in the fluency indicator, but were still limited in flexibility and originality. Impulsive students tended to use simple and homogeneous solution strategies to obtain answers quickly
Copyright (c) 2026 Setio Fuadi, Inggrit Diyah Ismaya, Eka Sulistiyaningsih, Puji Nugraheni https://creativecommons.org/licenses/by-nc-sa/4.0
Disparitas Level Berpikir Geometri Berdasarkan Teori Van Hiele pada Pemahaman Konsep Lingkaran Siswa SMP
This study aims to analyze the disparity in geometry thinking levels of junior high school students on circle material based on Van Hiele’s theory. This research employed a descriptive qualitative approach involving 42 ninth-grade students of SMP Negeri 11 Lubuklinggau selected through random sampling. Data were collected through tests and informal interviews and analyzed using the interactive model of Miles and Huberman. The results indicate a marked disparity in students’ geometry thinking levels. Most students have not achieved mastery at Level 0 (Visualization) with 88.1% and Level 1 (Analysis) with 81.0%, as shown by their inability to identify elements of a circle visually. At Level 2 (Informal Deduction), 45.2% of students have not reached mastery, although some were able to apply concepts correctly. These findings suggest that students’ abilities are still dominated by instrumental understanding without adequate relational understanding. Furthermore, this study reveals the presence of epistemological learning obstacles, characterized by a leap in thinking without strong mastery of fundamental concepts.
Copyright (c) 2026 ZHAFIRA SALSABILA, Salsabila Putri Lathifah, Depa Azarina, Lingga Novia Ayu Wangi, Putri Balqis Humairoh, Jaka Wijaya, Reny Wahyuni https://creativecommons.org/licenses/by-nc-sa/4.0
Model Project-Based Learning Berpendekatan Budaya Lokal Mandar: Studi Eksperimen terhadap Hasil Belajar Matematika Siswa
This study aims to determine the effect of the project-based learning model with the Mandar local cultural approach on students' mathematics learning outcomes in class VIII of SMP Negeri 07 Campalagian, Polewali Mandar Regency, West Sulawesi. This study is a study with a One-Group Pretest-Posttest Design. The population in this study were all students of class VIII of SMP Negeri 07 Campalagian. The sampling technique used was the saturated sampling technique which is a sampling technique in which all members of the population can be used as samples. Research data were collected using a learning outcome test consisting of a Pretest and Posttest, as well as an observation sheet consisting of a sheet of learning implementation by the teacher and student activities. The results of data analysis show that students' mathematics learning outcomes after the application of project-based learning with the Mandar local cultural approach are in the high category with skor 80.21 so it can be concluded that there is an increase in the learning outcomes of students taught using the Project Based Learning model with the Mandar Local Cultural approach.
Copyright (c) 2026 Aprisal Aprisal, Aslan Efendi, Herna Herna https://creativecommons.org/licenses/by-nc-sa/4.0
Epistemological Perspectives in Design Thinking in Mathematics Learning: Systematic Literature Review
Design thinking has been increasingly applied in mathematics education due to its potential to promote active, contextual, and student-centered learning. However, studies that explicitly examine this approach from an epistemological perspective in mathematics education remain limited. This study aims to analyze how epistemology in mathematics education is discussed in the literature, identify the epistemological foundations underlying the application of design thinking, and examine its epistemological implications for mathematics learning. This research employed a Systematic Literature Review (SLR) following the PRISMA guidelines. Articles were collected from Google Scholar within the publication period of 2014-2024. A multi-stage screening process involving title screening, abstract screening, and full-text review resulted in 12 relevant articles for final analysis. The findings indicate that the implementation of design thinking in mathematics education is predominantly grounded in constructivist and pragmatic epistemological perspectives, which view knowledge as actively constructed through experience, reflection, and authentic problem-solving. Epistemologically, design thinking supports a shift from procedural-oriented instruction toward meaningful, collaborative, and contextual mathematics learning. The novelty of this study lies in its explicit integration of epistemological perspectives to analyze design thinking in mathematics education, offering a conceptual contribution that extends beyond previous SLR studies. Keywords: epistemology, design thinking, mathematics education, systematic literature review
Copyright (c) 2026 Silva P. D. Sagala, I Gusti Putu Sudiarta https://creativecommons.org/licenses/by-nc-sa/4.0
Analisis Kemampuan Literasi Matematis Siswa SMA 2 Makassar Pada Soal PISA Level 5
This study aims to analyse the mathematical literacy skills of students at Makassar State Senior High School 2 in solving Programme for International Student Assessment (PISA) Level 5 questions, as well as to identify the types of errors and thinking strategies that arise during the solving process. This study was motivated by the low mathematical literacy scores of Indonesian students in the PISA study (OECD, 2021), particularly in the context of highly complex questions that require reflective reasoning and non-routine problem-solving skills. This study used a descriptive qualitative approach with a case study design. The research subjects consisted of 32 Grade XI students from Makassar State Senior High School 2 who were selected purposively. The research instruments were a PISA Level 5-based mathematical literacy test and interview guidelines to identify students' thinking processes. Data analysis was conducted through the stages of reduction, presentation, and conclusion drawing based on the Miles and Huberman model, as well as referring to the mathematical literacy framework. Which includes the abilities to formulate, employ, and interpret. The results of the study indicate that most students are still at an intermediate level (Levels 3–4) with a predominance of conceptual and representational errors, particularly in understanding the relationships between variables and converting verbal information into mathematical models. Students with high abilities (such as Banapati Maulana) were able to demonstrate reflective and argumentative thinking processes that reflected Level 5 characteristics, while students with moderate (such as Aura Agni) and low (such as Siti Fatimah) abilities tended to stop at the procedural stage without contextual reflection. These findings confirm that improving students' mathematical literacy requires not only mastery of concepts and procedures, but also practice in reflective, argumentative, and contextual thinking through problem-based and literacy-based learning approaches.
Copyright (c) 2026 Andi Cahaya Rezky Andini, Andi Trisno Trisno, Abdul Rahman, Bernard Bernard https://creativecommons.org/licenses/by-nc-sa/4.0
Pengembangan Media Pembelajaran Augmented Reality Berbasis Pendekatan Saintifik untuk Meningkatkan Kemampuan Spasial Matematika
Penelitian pengembangan ini bertujuan untuk mengembangkan media pembelajaran augmented reality (AR) berbasis pendekatan saintifik yang valid, praktis dan efektif dalam meningkatkan kemampuan spasial matematika siswa. Penelitian ini didasari oleh rendahnya kemampuan spasial matematika. Pengembangan dilakukan dengan menggunakan model ADDIE (Analysis, Design, Development, Implementation, Evaluation). Penelitian ini dilakukan di UPTD SMP Negeri 11 Pesawaran pada semester ganjil tahun pelajaran 2025/2026. Rancangan penelitian menggunakan pretest-posttest experimental control group design. Teknik pengumpulan data meliputi wawancara, observasi, angket, dan tes kemampuan spasial matematika. Instrumen penelitian terdiri dari instrumen tes dan non tes (angket dan observasi). Hasil penelitian menunjukkan bahwa media pembelajaran AR tergolong valid berdasarkan penilaian ahli materi sebesar 0,867 dan ahli media sebesar 0,875, praktis berdasarkan respon peserta didik sebesar 0,904 dan respon guru matematika sebesara 0,90. Selanjutnya, media pembelajaran AR efektif berdasarkan uji t pada data N-Gain. Dengan demikian, media pembelajaran AR berbasis pendekatan saintifik memenuhi kriteria valid, praktis dan efektif untuk meningkatkan kemampuan spasial matematika siswa.
Copyright (c) 2026 Siti Ahidiyah, Sugeng Sutiarso, Rangga Firdaus https://creativecommons.org/licenses/by-nc-sa/4.0
Analisis Kognitif Siswa Berdasarkan Kerangka Formulate Employ Interpret pada Soal PISA Level 4
This study aims to analyze students’ difficulties in solving PISA Level 4 equivalent mathematical literacy tasks based on the Formulate, Employ, and Interpret (FEI) processes and to identify scaffolding implications at each stage. A descriptive design with quantitative and qualitative approaches was employed involving 28 ninth-grade junior high school students who worked on four PISA Level 4 equivalent tasks. Quantitative analysis was used to map students’ achievement profiles across the FEI processes, while qualitative analysis examined selected students’ written solution traces. The results indicate that students’ difficulties were most prominent at the formulate stage, as reflected in incomplete mathematical representations, although some students were able to carry out procedures (employ) and obtain correct final answers. Procedural errors and conceptual misconceptions persisted at the employ stage, whereas at the interpret stage students tended to stop at numerical results without adequately relating them to the problem context. These findings suggest that the FEI processes are interconnected and conceptually hierarchical, although they are not always explicitly articulated in students’ written responses, and provide a basis for future action-oriented research aimed at improving instruction and students’ performance in PISA assessments.
Copyright (c) 2026 Husnul Khotimah, Mulianah Mulianah, Abdul Rahman, Bernard Bernard https://creativecommons.org/licenses/by-nc-sa/4.0
Literature Review: Integrasi Etnomatematika Pertanian Dalam Pembelajaran Matematika Sekolah Dasar
Mathematics learning in elementary schools generally remains abstract and disconnected from students’ real- life experiences, which contributes to low engagement and conceptual understanding. In agricultural-based communities, farming activities hold significant potential as sources of mathematical learning through an ethnomathematical approach. This study aims to explore how agricultural ethnomathematics can be integrated into mathematics learning in elementary schools within a local context. The method used is a Systematic Literature Review (SLR) by examining 12 national and international scholarly articles indexed in Scopus to Sinta 3 from the past seven years. The analysis focused on research objectives, cultural contexts, mathematical concepts developed, and the instructional models applied. The results show that agricultural practices contain mathematical concepts relevant to measurement, geometry, fractions, and ratio topics. However, the implementation of agricultural ethnomathematics remains limited due to teachers’ low cultural- mathematical literacy and the lack of structured teaching materials. This study concludes that integrating agricultural ethnomathematics can improve students’ conceptual understanding and connect learning with their real-life experiences. Therefore, the development of contextual learning modules and instructional models based on local farming practices is recommended for further application.
Copyright (c) 2026 Andi Asrafiani Arafah, Suradi Suradi, Rosida Rosida https://creativecommons.org/licenses/by-nc-sa/4.0
Analisis Pengaruh Minat, Motivasi dan Disiplin terhadap Hasil Belajar Matematika Siswa melalui Keaktifan Belajar
Penelitian kuantitatif ini dilaksanakan guna meneliti dampak langsung maupun tidak langsung dari faktor minat, motivasi, serta disiplin terhadap capaian hasil belajar matematika dengan memposisikan keaktifan belajar sebagai variabel mediasi. Melibatkan populasi sebanyak 254 siswa kelas XI di SMA Negeri 2 Kota Kupang, riset ini menarik sampel sejumlah 155 responden melalui metode proportionate stratified random sampling. Pengumpulan data primer dilakukan melalui instrumen tes prestasi serta kuesioner berskala Likert untuk mengukur parameter perilaku belajar. Setelah memenuhi kriteria uji asumsi klasik yang mencakup normalitas, linieritas, multikolinearitas, dan heteroskedastisitas, data diolah menggunakan teknik statistik deskriptif dan analisis jalur (path analysis) berbantuan program SPSS 27. Temuan studi mengonfirmasi bahwa model analisis yang diajukan berstatus fit. Secara mendetail, motivasi dan disiplin terbukti memberikan kontribusi signifikan terhadap derajat keaktifan siswa (R² = 0,486), namun hanya variabel minat belajar yang memberikan pengaruh langsung secara bermakna terhadap hasil belajar matematika (R² = 0,118). Kesimpulan ini menunjukkan bahwa keterlibatan aktif siswa di kelas lebih banyak dipicu oleh keteraturan dan dorongan luar, sedangkan penguasaan materi akademik lebih ditentukan oleh antusiasme internal siswa terhadap subjek tersebut.
Copyright (c) 2026 Maria Liberiani Natalia Tipawea, Fransiska Atrik Halim https://creativecommons.org/licenses/by-nc-sa/4.0
Kemampuan Metakognitif Siswa dalam Menyelesaikan Soal Cerita Sistem Persamaan Linier Tiga Variabel
One of the important elements in successful problem solving is metacognition. One of the mathematical problems is expressed in the form of a Three Variable Linear Equation System story problem. This study is a type of qualitative research that aims to describe students' metacognitive abilities as reviewed from the components and indicators of the Metacognitive Awareness Inventory (MAI). The main instrument in this study is the researcher himself, while the supporting instruments are the Three Variable Linear Equation System story problem test and interview guidelines. The subject in this study was 1 (one) grade XI student who was selected based on the results of solving the Three Variable Linear Equation System story problem and consideration of the mathematics teacher's recommendations. The results of the study indicate that SB's metacognitive ability in solving the Three Variable Linear Equation System story problem includes components, namely (1) declarative knowledge, (2) procedural knowledge, (3) conditional knowledge, (4) planning, (5) information management strategies, (6) comprehension monitoring, (7) debugging strategies and evaluation.
Copyright (c) 2026 Nita Fatma Fauziah, Edi Purwanto https://creativecommons.org/licenses/by-nc-sa/4.0
The Influence of Perfectionism and Academic Procrastination on the Mathematical Problem-Solving Ability of Grade X Students of SMAN 1 Kediri
Mathematical problem-solving ability is an essential competence in mathematics learning, contributing to the development of students’ reasoning and higher-order thinking skills, and is influenced by psychological factors such as perfectionism and academic procrastination. This study aimed to analyze the effects of perfectionism and academic procrastination, both partially and simultaneously, on the mathematical problem-solving ability of tenth-grade students at SMAN 1 Kediri in the 2025/2026 academic year. This study employed a quantitative approach with an ex post facto design. The sample consisted of 31 students selected through cluster sampling from four classes. The instruments included a perfectionism questionnaire, an academic procrastination questionnaire, and a mathematical problem-solving test based on Polya’s indicators. Data were analyzed using multiple linear regression preceded by normality, linearity, multicollinearity, and heteroscedasticity tests. The results of the prerequisite tests indicated that the data were normally distributed, the relationships among variabels were linear, and no multicollinearity or heteroscedasticity was detected. The regression analysis showed that perfectionism had a significant effect of 46.7%, while academic procrastination had a significant negative effect of 30.4%. Simultaneously, both variabels had a significant effect on students’ mathematical problem-solving ability of 59.3%..
Copyright (c) 2026 Wardatul Uyun, Laila Hayati, Eka Kurniawan https://creativecommons.org/licenses/by-nc-sa/4.0
Aplikasi Algoritma Kruskal dalam Menentukan Lintasan Terpendek Kabel Internet di Universitas Andalas
Penelitian ini bertujuan menentukan lintasan terpendek untuk pemasangan kabel internet yang menghubungkan 30 gedung utama di Universitas Andalas dengan menggunakan algoritma Kruskal dalam kerangka Minimum Spanning Tree (MST). Setiap gedung dimodelkan sebagai simpul, sementara jarak antargedung yang diukur melalui Google Earth dijadikan bobot sisi pada graf. Pembentukan MST dilakukan melalui dua pendekatan, yaitu perhitungan manual dan implementasi program Python menggunakan library networkx. Kedua metode menghasilkan total panjang kabel minimum yang sama, yaitu 4122,77 meter, sehingga menunjukkan konsistensi serta validitas model dan perhitungan. MST yang diperoleh menggambarkan rute pemasangan kabel internet paling efisien yang mampu meminimalkan total panjang kabel dan mendukung perencanaan infrastruktur kampus secara optimal. Penelitian ini membuktikan efektivitas penerapan teori graf dalam optimasi pembangunan infrastruktur di Universitas Andalas.
Copyright (c) 2026 Des Welyyanti, Adebli Aulia Zami, Aisyah Khairunnisa Ramadhani, Bunga, Emi Lazola, Fazira Ramadhani, Raisatun Nuha https://creativecommons.org/licenses/by-nc-sa/4.0
Pseudo-Evaluative Behavior in Mathematical Problem Solving: An Analysis of Students’ Metacognitive Processes in Matrix Addition
Metacognitive regulation is widely acknowledged as a key component that supports students in managing their thinking during mathematical problem solving. This study investigates the metacognitive processes demonstrated by a student while completing matrix addition tasks, with a specific focus on the components of planning, monitoring, and evaluating. The research was conducted in a public senior high school in North Halmahera during November and December 2025. One eleventh grade student was purposively selected to provide an in-depth illustration of metacognitive regulation. A qualitative case study design was employed, and data was gathered through written work, direct observation, and semi structured interviews. Analysis was carried out using metacognitive process indicators to capture how the participant organized, controlled, and reviewed each stage of problem solving. The findings show that the participant performed planning effectively by identifying relevant information and determining an approach to the task, and monitoring was evident throughout the solution process. The evaluating phase appeared limited because the participant mainly checked the final answer without engaging in deeper reflection such as analyzing sources of error or comparing alternative procedures. This pattern is characterized in the study as pseudo evaluative behavior, indicating evaluation that is present yet incomplete. The study underscores the need for instructional practices that intentionally strengthen student’s evaluative metacognition during mathematical problem solving.
Copyright (c) 2026 Dediromario Wasahua, Surya Sari Faradiba https://creativecommons.org/licenses/by-nc-sa/4.0