Numerical: Jurnal Matematika dan Pendidikan Matematika

Pengembangan LKPD dengan Model PBL Berbasis Etnomatematika Budaya Melayu untuk Meningkatkan Kemampuan Berpikir Kreatif Matematis

Hasrat Bohalima, Saiful Bahri — Mon, 01 Dec 2025 00:00:00 +0000

The objectives of this study are to: (1) determine whether the LKPD product with a PBL model based on Malay cultural ethnomathematics is appropriate for use in the educational process; (2) determine whether the LKPD product with a PBL model based on Malay cultural ethnomathematics is useful in the study of mathematics; and (3) determine whether the LKPD product with a PBL model based on Malay cultural ethnomathematics is successful when used to develop LKPDs to improve students' mathematical creative thinking abilities. The ADDIE development model, which comprises the phases of analysis, design, development, implementation, and evaluation, was used in this study's Research and Development (R&D) methodology. Class VIII-A eighth graders at SMPN 23 Medan served as the study's subjects. Learning media specialists and subject matter experts validated the data, yielding validity scores of 94.5% and 91.5%, respectively, all of which were classified as "very valid". Teacher and student response surveys used to measure practicality produced results of 87% and 81.4%, respectively, which were classified as "very practical". An average N-Gain score of 0.7851 (high category) was found in effectiveness testing, and pupils' increased capacity for "creative" thought reached 78.51%. Thus, the creation of LKPD with the PBL model grounded on Malay cultural ethnomathematics is thought to be beneficial for fostering students' mathematical creativity in the classroom.

Resilience's Role in Self-Efficacy and Well-Being of Primary Students in Mathematics

Mon, 08 Dec 2025 00:00:00 +0000

This study explores the role of resilience in influencing self-efficacy and well-being among primary school students in the context of mathematics education. Specifically, the study investigates whether resilience mediates and moderates the relationship between self-efficacy and well-being. The research adopts an explanatory quantitative design with a survey approach, involving 252 primary students from Indonesia. Data were collected using three questionnaires measuring resilience, self-efficacy, and well-being, along with demographic data. The analysis employed mediation and moderation techniques, using SPSS PROCESS macro, to examine the complex interplay between these psychological constructs. The results indicate that resilience acts as a significant mediator in the relationship between self-efficacy and well-being, enhancing the positive effects of self-efficacy on well-being. Moreover, resilience was found to moderate the relationship between self-efficacy and well-being, amplifying the positive impact of self-efficacy. These findings contribute to the understanding of how resilience supports both academic success and emotional well-being in mathematics education, providing new insights into the ways resilience can be leveraged to promote a positive learning environment. The study's significance lies in its potential to inform educational interventions aimed at improving students' resilience, self-efficacy, and well-being, with implications for enhancing academic performance and reducing math-related stress. The findings highlight the importance of fostering resilience in primary school students as a key factor for promoting overall academic success and emotional health.

Eksplorasi Konsep Etnomatematika pada Proses Pembuatan Kue Lapis Batik Motif Ketupat Khas Sambas

Thu, 18 Dec 2025 00:00:00 +0000

This study aims to identify mathematical concepts embedded in the process of producing Lapis Batik, a traditional cake from Sambas, and to examine its potential as an ethnomathematics-based learning resource for strengthening numeracy literacy. The study employed a descriptive qualitative approach through interviews with craftsmen and documentation of specialized tools and the finished cakes. The analysis was conducted by classifying mathematical activities according to Bishop’s six fundamental activities. The findings indicate that the production of Lapis Batik involves a wide range of mathematical concepts, including ratios, measurement, similarity and congruence, sequence patterns, logical implications, plane and solid geometry, and transformations. These concepts are reflected in ingredient measurements, the regularity of layered structures, and the patterns of batik-inspired motifs. The results suggest that Lapis Batik from Sambas has strong potential as a contextual learning medium that supports students’ conceptual understanding and problem-solving skills. This study contributes to the enrichment of ethnomathematics literature in West Kalimantan and provides a foundation for the development of instructional materials grounded in local culture.

Mathematical Literacy Review on PISA-Type Mathematics Tasks

Nurhidayati Nurhidayati, Duano Sapta Nusantara, Tria Gustiningsi — Fri, 19 Dec 2025 00:00:00 +0000

Mathematical literacy refers to students’ ability to think logically in mathematical terms, as well as to formulate, employ, and interpret mathematics within real life contexts, as assessed by the Programme for International Student Assessment (PISA). This study aims to describe students’ mathematical literacy skills in solving PISA-type mathematical problems with a specific focus on the quantity content. The research employed a qualitative approach using a descriptive method. The study was conducted in one ninth-grade class at junior high school 6 Jambi City, involving 37 students as research subjects. The research instruments consisted of PISA-based quantity content test items and in-depth interviews to explore students’ thingking processes. This study refers to the indicators of mathematical literacy processes, including: (1) formulating situations mathematically; (2) employing mathematical concepts, facts, procedures, and reasoning; and (3) interpreting, applying, and evaluating mathematical outcomes. The findings indicate that students in the low category (54.05%) met only the “employ” indicator, those in the medium category (40.54%) met the “formulate” and “employ” indicators, while students in the high category (5.4%) fulfilled all indicators “formulate, employ and interpret. Futher analysis reveals that students still strunggle to formulate mathematical representations from given contexts and to reinterpret their solutions. These results highlight the need to integrate PISA-based contextual problems into mathematics instruction to enhance students’ higher-order thinking and mathematical literacy, there by supporting effective decision-making in real-life situations.

Eksplorasi Etnomatematika dalam Makanan Tradisional Kerupuk Enye Khas Jampang Tengah Sukabumi

Nuryatul Salwa Qolbiyah, Nurul Arfinanti, Santi Widyawati, Elvin Ervi Ladona — Sun, 21 Dec 2025 00:00:00 +0000

Ethnomathematics is a field of study that examines the relationship between local cultural practices and mathematical concepts, offering a meaningful bridge between formal mathematics and the sociocultural realities of communities. This study aims to explore ethnomathematical aspects embedded in kerupuk Enye, a traditional food from Central Jampang, as an effort to preserve local culture while promoting innovation in contextual mathematics learning. Employing a qualitative ethnographic approach, the study investigates mathematical elements present in the production process of kerupuk Enye. Data was collected through in-depth virtual interviews with a local practitioner with over ten years of experience, complemented by indirect observation of the production stages documented by family members. The findings reveal that the production process involves mathematical concepts related to ratios and proportions, particularly in ingredient measurement and scaling. These results indicate that kerupuk Enye production practices can serve as a highly contextual and culturally relevant learning resource for teaching ratios and proportions at the Grade VII level. This study contributes to the integration of local cultural knowledge into mathematics education, supporting culturally responsive and meaningful learning experiences

The Effect of Talking Stick Learning Model Assisted by Question Card Media on Junior High School Students' Mathematical Problem-Solving Ability

Indah Pertiwi, Shafa Nurul Izzah — Sun, 21 Dec 2025 00:00:00 +0000

This study investigated the effectiveness of the Talking Stick learning model assisted by Question Card media in enhancing junior high school students’ mathematical problem-solving abilities. A quantitative approach with a quasi-experimental design was employed, involving 63 students divided into an experimental and a control group. Data was collected through pretests and posttests, supported by interviews and documentation. The data were analyzed using an independent-samples t-test and a one sample t-test with SPSS. The results indicated a significant difference in mathematical problem-solving abilities between students taught using the Talking Stick Learning Model assisted by Question Cards and those taught using conventional methods. Furthermore, the mean posttest score of students in the experimental group (79.57) significantly exceeded the Minimum Completion Criteria (KKM) of 70. These findings suggest that the Talking Stick learning model assisted by Question Card media is effective in improving students’ mathematical problem-solving abilities.

Peningkatan Kemampuan Komunikasi Matematis melalui Game Based Learning Berbantuan Nearpod

Ira Aryani, Juariah Juariah, Tika Karlina Rachmawati — Mon, 22 Dec 2025 00:00:00 +0000

Mathematical communication skills are one of the skills that must be possessed when learning mathematics. One alternative to improve mathematical communication skills is by applying the Game Based Learning model assisted by Nearpod. The purpose of this study is to find out the difference in the improvement of mathematical communication skills between students who use the Game Based Learning model assisted by Nearpod and students who use conventional learning. This research used a quasi-experimental method involving two classes with a non-equivalent control group design. The instruments used was a mathematical communication skills test. The results of this research indicate that there is a difference in the improvement of mathematical communication skills between students who use the Game Based Learning model assisted by Nearpod and those who use conventional learning methods.

Efektivitas Video Interaktif Berbasis Lumi Education Terhadap Hasil Belajar Siswa Melalui Pembelajaran Berdiferensiasi Berdasarkan Gaya Belajar

Adi Septian Jaenudin, Mario Emilzoli, Toto Fathoni — Tue, 23 Dec 2025 00:00:00 +0000

Each student has unique characteristics, and education plays a vital role in accommodating these differences through differentiated instruction. One student characteristic that can be facilitated is learning style, which may be addressed using various instructional strategies, including interactive videos. Interactive videos are learning media that integrate interactive features to enhance engagement and learner interaction beyond visual and auditory elements. This study aims to examine the effectiveness of interactive video use on students’ learning outcomes while considering differences in learning styles. Using a quantitative approach, this study employed a quasi-experimental design conducted at SMPN 5 Cimahi, involving 75 students selected through cluster random sampling. The participants were divided into two groups: an experimental group that used interactive videos and a control group that received conventional instruction without interactive videos. Data was collected through pretests to measure prior understanding and posttests to assess learning outcomes after instruction. Due to the non-normal distribution of the data, the Mann–Whitney and Wilcoxon tests were used to analyze differences in learning outcomes both between and within groups. The results indicate that the use of interactive videos based on Lumi Education has a significant effect on students’ learning outcomes. In contrast, the improvement in the control group was less substantial than that of the experimental group. These findings demonstrate that Lumi Education–based interactive videos are effective in enhancing students’ learning achievement within differentiated learning environments.

Pola Transformasi Aksi, Proses, Objek, dan Skema Mahasiswa dalam Memecahkan Masalah Limit Ditinjau dari Gaya Kognitif

Ayu Aristika — Tue, 23 Dec 2025 00:00:00 +0000

This study aims to describe the transformation patterns of Action–Process–Object–Schema (APOS) in students with Field Dependent (FD), Field Neutral (FN), and Field Independent (FI) cognitive styles when solving limit problems. The central issue addressed in this research is the low level of conceptual understanding of limits among students. The study employs an exploratory qualitative approach with a collective case study design. The research subjects consist of nine mathematics education students selected based on the results of a cognitive-style assessment. Data were collected through APOS-based problem-solving tasks, observations of students’ thinking processes, and semi-structured in-depth interviews. The analysis reveals that FD students tend to remain at the action–process stages, FN students reach the process–object stages, while FI students construct conceptual understanding up to the object–schema stages. These findings indicate that cognitive style influences the depth and flexibility of students’ understanding of the limit concept. Theoretically, this study extends the application of APOS theory by incorporating cognitive style as a mediating factor. Practically, the results recommend implementing calculus learning strategies that are adaptive to students’ cognitive styles to strengthen conceptual transformation processes in advanced mathematics learning.

Kemampuan Literasi Matematis Siswa dalam Menyelesaikan Soal Sistem Persamaan Linear Satu Variabel Konteks Parkir Kendaraan

Nazwa Khairunnisa Maharani, Feri Tiona Pasaribu, Syamsir Sainuddin — Thu, 25 Dec 2025 00:00:00 +0000

Several previous studies have widely discussed students’ mathematical literacy; however, research that specifically analyzes junior high school students’ mathematical literacy in the topic of Linear Equations in One Variable through contextual problems remains limited. Therefore, this study aims to describe the mathematical literacy abilities of junior high school students in solving contextual problems related to the System of Linear Equations in One Variable. This study employed a qualitative research method involving 33 eighth-grade students of class VIII-I at SMP Negeri 6 Kota Jambi with diverse ability levels. The research instruments consisted of contextual essay tests, interviews, and documentation of students’ written responses. The test items were validated by experts and designed to reflect real-life situations. The results indicate that students’ mathematical literacy skills are generally low, with the majority of students classified in the low category. Students experienced difficulties in understanding information presented in the problems, formulating mathematical models, and interpreting as well as concluding the solutions. Analysis based on mathematical literacy indicators shows that only a small proportion of students were able to fulfill all three indicators comprehensively. These findings suggest that students have not yet met the demands of solving contextual problems mathematically. The results of this study may serve as a basis for developing more contextual and applicative mathematics literacy–based learning to improve the quality of mathematics education at the junior high school level.

Pengembangan dan Implementasi E-modul Berbasis Discovery learning Terhadap Penguasaan Konsep dan Minat Belajar Peserta Didik SMA

Mohamad Oca Setiawan, Nandang Nandang, Mochammad Taufan — Sun, 28 Dec 2025 00:00:00 +0000

The rapid advancement of technology has driven the emergence of various innovations in learning media, particularly in mathematics, a subject often considered difficult for students to understand. This study aimed to develop a Discovery Learning-based e-module on dilation material and to examine its feasibility, practicality, and effectiveness in the learning process. The research employed a Research and Development (R&D) method using the 4D development model, which consists of the Define, Design, Develop, and Disseminate stages. The subjects of this study were 28 eleventh-grade students of SMA Negeri 2 Indramayu. Data were collected using post-tests, interviews, questionnaires, and observations. The validation results indicated that the developed e-module was feasible and practical to use. However, its effectiveness was not optimal due to several constraints, including limited instructional time, varying levels of student readiness, and insufficient supporting facilities.

Implementasi Tahap Enaktif-Ikonik-Simbolik (EIS) Bruner untuk Meningkatkan Pemahaman Konsep Operasi Perkalian pada Siswa Sekolah Dasar: Studi Literatur Tingkat Dasar

Suci Aulia Safira, Sahwa Anisa, Nurul Habibah, Tiara Desky, Misrina Misrina — Tue, 30 Dec 2025 00:00:00 +0000

This study aims to describe Jerome S. Bruner's learning theory and its developmental stages in depth, and to explain the application of each stage in helping students understand basic concepts of Mathematics, especially in the material of multiplication operations at the elementary school level. The problem in this study is since many elementary school students still consider Mathematics as a difficult, confusing, and less enjoyable subject. This is caused by the learning process, which is monotonous, abstract, and does not pay attention to the characteristics and stages of cognitive development of students who are still in the concrete operational phase. This study uses a descriptive qualitative method with a literature review approach to various relevant sources such as books, scientific articles, and research journals that discuss Bruner's theory and its application in Mathematics learning. The results of the study show that the application of Bruner's three stages of mental representation, namely the enactive, iconic, and symbolic stages, can help students understand the meaning, structure, and concept of multiplication operations gradually. Thus, learning becomes more meaningful, active, interesting, contextual, and in accordance with the cognitive development of elementary school students.

Eksplorasi Etnomatematika Konsep Geometri dan Perbandingan pada Makanan Tradisional Wingko Babat

Salsabila Nur Aini, Annafi Awantagusnik — Wed, 31 Dec 2025 00:00:00 +0000

This study aims to explore the concept of ethnomathematics contained in the traditional food Wingko Babat, particularly in terms of geometry and comparison. As part of Indonesia's cultural heritage, Wingko Babat not only has historical and culinary value, but also contains relevant mathematical elements that can be used as a medium for contextual learning. This study uses a qualitative research method with an ethnographic approach, namely by conducting interviews and direct observations of the geometric shapes of the surface and space, as well as the ratio of ingredients in the making of Wingko Babat. The results show that Wingko Babat, which is shaped like a block, can be used to explain geometric concepts such as surface area and volume. In addition, the composition of ingredients in the Wingko Babat-making process also contains mathematical values in the form of ratios, comparisons, and proportions. This study proves that traditional foods can serve as a means of contextual mathematics learning, while strengthening the connection between local culture and modern education.

Analisis Konektivitas Graf pada Ayat - Ayat Al-Quran Menggunakan Minimum Spanning Tree dan Degree Centrality

Hirawati Lubis, Toriq Roziq — Sat, 20 Dec 2025 00:00:00 +0000

This study aims to support the computational identification of Quranic themes through a graph theory–based approach. As a case study, the analysis focuses on verses discussing the virtues of the Quran within the framework of graph algorithm applications. The verses are modeled as a graph using an adjacency matrix to represent semantic connectivity between them. The thematic structuring process is conducted by constructing a Minimum Spanning Tree (MST) using the Kruskal Algorithm to obtain an optimal connectivity structure among vertices, followed by the application of Degree Centrality to identify structurally influential vertices corresponding to Quranic verses. The results demonstrate that the combined application of MST and Degree Centrality effectively visualizes the thematic structure of the verses and highlights verses with dominant structural roles in the context of Quranic virtues. Furthermore, the Louvain Algorithm is applied to detect thematic communities, revealing natural clustering patterns that contribute to a more systematic and interpretable thematic mapping. These findings contribute to the advancement of computational Quranic studies by reinforcing data-driven thematic analysis and structured graph-based representations.

Pemodelan Saham Sektor Energi Menggunakan Non-Homogeneous Markov Switching Autoregressive (NHMS-AR) dengan Probabilitas Transisi Non-Homogeneous

Adam Fahmi Fandisyah, Nur Iriawan, Kartika Fithriasari — Tue, 30 Dec 2025 00:00:00 +0000

The movement of energy sector stock returns is dynamic and influenced by external factors that cause changes in market conditions over time. These characteristics indicate the existence of regime shifts that cannot be optimally modeled using conventional linear time series. Therefore, this study aims to model energy sector stock returns in Indonesia using the Non-Homogeneous Markov Switching Autoregressive (NHMS-AR) approach with a focus on the transition probability between regimes influenced by exogenous variables. The data used are monthly logarithmic returns of PT Perusahaan Gas Negara Tbk (PGAS), PT Adaro Energy Indonesia Tbk (ADRO), and PT Medco Energi Internasional Tbk (MEDC) for the period September 2008 to December 2024. The exogenous variables used include the Climate Risk Index, Geopolitical Risk (GPR), and Global Economic Policy Uncertainty (GEPU). The NHMS-AR model is implemented with the assumption that exogenous variables influence the probability of regime shifts, while the autoregressive structure in each regime is homogeneous. The results show that the dynamics of energy sector stock returns can be represented by two hidden regimes: a stable regime and a volatile regime. Transition probability estimates indicate that CRI and GEPU increase the probability of switching between regimes, whereas GPR exhibits an asymmetric effect, depending on the direction of the transition. Furthermore, the volatile regime has a higher degree of persistence than the stable regime. The main contribution of this study lies in the application of NHMS-AR with non-homogeneous transition probabilities to Indonesian energy sector stocks, as well as in presenting empirical evidence on the role of external factors in shaping regime switching dynamics in emerging markets.

Comparison of K-Means and K-Medoids Algorithms in Clustering Indonesian Provinces Using Stunting Handling Index

Mayang Ariani Fitria Ananta, A'yunin Sofro — Tue, 30 Dec 2025 00:00:00 +0000

Stunting remains a major public health problem and poses a significant challenge to human resource development in Indonesia. Differences in stunting management performance across provinces indicate regional disparities that require systematic and data-driven analysis. This study aims to cluster provinces in Indonesia based on the 2022 Stunting Management Specific Index (IKPS) and to compare the performance of the K-Means and K-Medoids clustering algorithms. The study uses secondary data from the Central Statistics Agency (BPS), covering 34 provinces and ten indicators composing the IKPS. Clustering was conducted using K-Means and K-Medoids algorithms. The optimal number of clusters was determined using the Elbow Method, while clustering quality was evaluated using the Davies–Bouldin Index (DBI). The results show that the optimal number of clusters is k = 5. Furthermore, the K-Medoids algorithm produces better clustering quality, as indicated by a lower DBI value compared to the K-Means algorithm, reflecting more compact clusters and clearer separation between provinces. The clustering results reveal distinct provincial groupings with varying stunting management characteristics, ranging from provinces with relatively strong and stable performance to those facing greater challenges related to geographical constraints and limited access to health services. Overall, this study demonstrates that cluster analysis is effective for identifying regional patterns in stunting management and can support policymakers in formulating more targeted, province-based strategies to improve the effectiveness of stunting prevention and intervention programs in Indonesia.

Modeling the Ranking of Tourist Destinations in West Kalimantan Using the Fuzzy Analytical Hierarchy Process (FAHP) Approach

Rama Valivi, Nilamsari Kusumastuti, Yudhi Yudhi, Bayu Prihandono — Wed, 31 Dec 2025 00:00:00 +0000

The selection of tourist destinations in West Kalimantan that meet tourist’s needs is a challenge for tourists, due to lack of information and involves various criteria that are subjective and uncertain. An analytical method is needed to evaluate and rank tourist destinations in West Kalimantan. This research aims to rank tourist destinations in West Kalimantan so that it can become an information tool for tourists. The Fuzzy Analytical Hierarchy Process (FAHP) is a multi-criteria decision-making method that combines the Analytical Hierarchy Process (AHP) with fuzzy logic concepts to overcome uncertainty and improve assessment accuracy. The FAHP is used in ranking cascade tourist destinations by determine the criteria (C) used in choosing tourist destinations, namely natural beauty, uniqueness of natural resources, accessibility, supporting facilities, safety and comfort, potential activities, popularity and reputation, and affordability. Furthermore, the research questionnaire was prepared based on the criteria. From the results of distributing research questionnaires, it can be determined that cascade tourism destinations are used as alternatives (A), namely Riam Jugan, Pangar, Ampakng, Mangoi, Batu Susun, Marum, Berawat'n, Parangek, Merasap, and Eria. Next, the calculation of the weight for each criterion (W) is carried out. After that, the weight matrix of each cascade tour is calculated against each criterion (X) and the preference value (Y) for each cascade tourist destination. The result of applying the FAHP method is the ranking of cascade tourist destinations based on the order of preference value (Y) from higher to lower.