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Imajiner: Jurnal Matematika dan Pendidikan Matematika
Published by Universitas PGRI Semarang
ISSN : -     EISSN : 26853892     DOI : -
Core Subject : Education,
Education Languange, Linguistic, Communication & Media Mathematics Other
Imajiner: Jurnal Matematika dan Pendidikan Matematika memiliki fokus utama pada pengembangan ilmu di ranah matematika dan pendidikan. Lingkup dari fokus utama tersebut meliputi pendidikan dan terapan.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 480 Documents
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Indeks Hyper Wiener pada Graf Nilpoten dari Gelanggang Bilangan Bulat Modulo Dewi, Ni Putu Feby Prasetya; Dewi, Putu Kartika; Silalahi, Raphita Yanisari
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27436

Abstract

Graf merupakan struktur matematika yang digunakan untuk merepresentasikan hubungan antar objek. Salah satu jenis graf yang berkaitan dengan struktur aljabar adalah graf nilpoten. Untuk suatu gelanggang R, graf nilpoten adalah graf dengan himpunan simpul berupa seluruh unsur di R dan dua simpul berbeda x dan y bertetangga jika dan hanya jika hasil perkalian x dan y merupakan unsur nilpoten di R. Indeks Hyper-Wiener merupakan salah satu indeks topologi yang mengukur jarak dan kuadrat jarak antar pasangan simpul dalam graf.Penelitian ini bertujuan untuk menentukan rumus umum Indeks Hyper-Wiener pada graf nilpoten dari gelanggang bilangan bulat modulo, khususnya pada dua kasus, yaitu bilangan bulat modulo p pangkat k dan bilangan bulat modulo hasil kali p dan q, dengan p dan q merupakan bilangan prima serta k merupakan bilangan asli. Metode yang digunakan bersifat deduktif, dimulai dengan pengkajian struktur graf nilpoten dari bilangan bulat modulo n, klasifikasi pasangan simpul, serta perhitungan jarak antar simpul. Hasil yang diperoleh berupa rumus tertutup Indeks Hyper-Wiener untuk masing-masing kasus.
Pemodelan Profil Siswa SMP Berdasarkan Mathematics Self-Regulated Learning Menggunakan Metode K-Means Clustering Munaji, Munaji
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27185

Abstract

Mathematics achievement at the junior high school level remains a significant challenge, with non-cognitive factors such as self-regulated learning (SRL) playing a critical role alongside cognitive ability. This study aims to develop a mathematical model for classifying Mathematics SRL profiles of junior high school students in Cirebon City using K-Means Clustering. A descriptive-exploratory quantitative design was employed with 68 students selected through stratified random sampling. Data were collected using a validated Mathematics SRL questionnaire (α = 0.823) encompassing four dimensions: Goal Setting, Self-Monitoring, Self-Efficacy, and Metacognition Motivation. Prior to clustering, data were standardized using Z-score normalization and analyzed through Principal Component Analysis (PCA). The optimal number of clusters (K = 3) was determined via the Elbow Method and Silhouette Index (SI = 0.286). Results identified three distinct student profiles: High (32.4%), Moderate (45.6%), and Low (22.1%), with statistically significant differences across all SRL dimensions (p 0.001). Self-Efficacy emerged as the most discriminating dimension (F = 70.349). The resulting classification model, C*(xᵢ) = , serves as a practical diagnostic tool for identifying student SRL profiles, enabling educators to design targeted, evidence-based pedagogical interventions.
Efektivitas Pemanfaatan GeoGebra Dengan Tipe STAD Terhadap Pemahaman Konsep Matematis Siswa Pada Materi Matriks di Kelas XI SMA Negeri 14 Medan T.A 2025/2026 Pangaribuan, Gustin Magdalena; Sihombing, Dame Ifa; Naibaho, Tutiarny
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27494

Abstract

This study aims to examine the effectiveness of using GeoGebra based on the Student Teams Achievement Divisions (STAD) model in improving students’ understanding of mathematical concepts in the matrix curriculum for XI-grade students at State SMA Negeri 14 Medan T.A 2025/2026. The method used was quantitative research with a quasi-experimental design. The study population consisted of 11th-grade students, with a sample of 69 students from classes XI 4 and XI 5 selected through purposive sampling. The instruments used included an essay test, a questionnaire, and an observation sheet. The research results indicate that all five indicators of effectiveness were met: (1) the instructional structure was in the “good” category, based on evaluations by two out of three observers, who assigned scores of 86 and 87, respectively; (2) teacher communication was good, with two observers assigning a score of 34; (3) student response was good, as evidenced by 57 out of 69 students falling within the “good” frequency range; (4) student activity was good, with 62 students in the good category according to three observers; (5) learning achievement was complete without remedial instruction, with 58 students (91.3%) scoring in the 66–85% range. Thus, the use of the STAD method with GeoGebra is effective in enhancing students’ understanding of mathematical concepts.
Efektiitas Pembelajaran Dengan Media Pembelajaran Berbasis Budaya Batak Terhadap Peningkatan Pemahaman Konsep Siswa Kelas X SMA Swasta Free Methodist Medan Pada Materi Jarak Dalam Bangun Ruang 3 Dimensi Malau, Gideon; Sihombing, Dame Ifa; Simbolon, Lolyta Damora
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27462

Abstract

This study aims to determine the effectiveness of learning using Batak culture–based learning media in improving the mathematical conceptual understanding of Grade X students at Free Methodist Private Senior High School Medan on the topic of three-dimensional geometry. This study integrates Batak culture through the context of Jabu Bolon as a mathematics learning medium to support the visualization of distance concepts in three-dimensional geometry. In this study, local culture is not merely used as an illustrative context, but the structure and architectural form of Jabu Bolon are directly utilized as visual and contextual media in mathematics learning. The integration of local culture not only strengthens the connection between mathematical concepts and students’ real-life experiences, but also provides a more meaningful, contextual, and culturally relevant learning experience for students.This research used a quasi-experimental method with a population consisting of all Grade X students from three classes. The instruments used were tests and observations. The sample was determined through cluster random sampling, resulting in class X-C as the experimental class and class X-B as the control class. Data were collected using a conceptual understanding test. Data analysis was conducted using the Liliefors normality test, t-test, and N-Gain test. The results of the t-test showed a significance value of sig. (P(T≤t) two-tail) of 0.0074 0.05, indicating that there is a significant difference in conceptual understanding between the two sample classes. The average N-Gain score of the experimental class was 0.75 or 75%, which falls into the high category, while the control class obtained an N-Gain score of 0.39 or 39%, which falls into the medium category. When viewed from the indicators of effectiveness in the experimental class: (1) the quality of learning shows a sig. value (P(T≤t) two-tail) of 0.0074 0.05 and an N-Gain of 75%; (2) the appropriateness of the learning level is categorized as “very good” with a percentage value of 85.3%; and (3) learning time is categorized as “good” with an average score of 4.6. Therefore, it can be concluded that Batak culture–based learning is effective in improving the conceptual understanding of Grade X students on the topic of distance in three-dimensional geometry.
Efektivitas Model Pembelajaran Discovery Learning dan Problem Based Learning (PBL) Berbantuan GeoGebra Terhadap Kemampuan Pemecahan Masalah Siswa Anindhitya, Anindhitya; Shodiqin, Ali; Prayito, Muhammad
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.24650

Abstract

This study aims to determine the effectiveness of Discovery Learning and Problem Based Learning (PBL) learning models assisted by Geogebra on students' problem solving skills. The research design used is True Experimental Design with the form of Posttest Only Control Design. The research population consisted of all eighth-grade students at MTs Matholiul Anwar Sarimulyo. The sample was taken using cluster random sampling, with three classes selected: experiment class I using GeoGebra-assisted discovery learning, experiment class II using GeoGebra-assisted problem-based learning, and the control class using conventional learning. Data analysis was conducted in several stages, including a prerequisite test covering normality and homogeneity tests, hypothesis testing using one-way analysis of variance (One Way ANOVA) to compare the average problem-solving abilities between groups, post-hoc testing using the Scheffe method if significant differences were found, simple linear regression testing to examine the effect of activity on problem-solving abilities, and analysis of student learning completeness individually and classically. The results showed that: (1) There is a difference in the average problem solving ability of students with Geogebra-assisted Discovery Learning model, Geogebra-assisted Problem Based Learning model and Conventional model. (2) The problem solving ability of students using the Geogebra-assisted Discovery Learning model is better than the problem solving ability of students using the conventional model. (3) The problem solving ability of students using the Geogebra-assisted Problem Based Learning model is better than the problem solving ability of students using the conventional model. (4) There is no difference in the average problem solving ability of students using the Discovery Learning model and Geogebra-assisted Problem Based Learning. (5) There is an effect of activeness on the problem solving ability of students using the Discovery Learning and Problem Based Learning models assisted by Geogebra. (6) Students with Geogebra-assisted Discovery Learning and Geogebra-assisted Problem Based Learning learning models have been completed individually and have not been completed classically.
Penerapan Agglomerative Hierarchical Clustering Untuk Pengelompokan Kabupaten/Kota di Provinsi Sumatera Barat Berdasarkan Potensi Sambaran Petir Rahmadani, Rahmadani; Martha, Zamahsary
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27440

Abstract

Lightning strike are an atmospheric phenomenon that pose significant risk to human safety and infrastucture, partuculary in topical regions sudh as Indonesia, inculding West Sumatra Province. Variations in geographical and environmental conditions contribute to differences in lightning strike potential across districts/municipalities. This study aims to classify districts/municipalities in West Sumatera Province based on their lightning strike potential in order to identify areas requiring higher mitigation priority. The classification was conducted using Agglomerative Hierarchical Clustering with Ward’s method based on three main variables including lightning density, rainfall, and population density. The result indicate that West Sumatera Province can be grouped into 4 cluster of lightning strike potential: low, moderate, high, and very high. The low-potential cluster consists of 6 districts/municipalities, the moderate-potential cluster consists 6 districts/municipalities, the gigh-potential cluster consisits 6 districts/municipalities, and the very high potential cluster contains only 1 municipality. These findings provide a systematic spatial overview of lightning strike potential levels and may serve as a basis for determining regional risk mitigation proirities and infrastructure protection strategies.
Pengelompokan Pengguna Spotify Berdasarkan Data Tipe Campuran Menggunakan Algoritma K-Prototype Luthfiyah, Andini Diva; Mukhti, Tessy Octavia
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27264

Abstract

Competition in streaming music services requires a better understanding of user behavior and churn tendencies. This study aims to segment Spotify users and analyze churn patterns based on demographic characteristics and service usage behavior using the K-Prototypes method on mixed-type data. The optimal number of Cluster was determined using the Elbow method, while the churn variable was used to evaluate the clustering results. The analysis shows that three user cluster were formed with distinct characteristics. The first cluster represents younger premium users with relatively high usage intensity, the second cluster represents student users with the highest churn proportion, and the third cluster represents free users with high ad exposure but the lowest churn proportion. These findings indicate that the K-Prototypes method is effective in grouping Spotify users and provides useful information for understanding user behavior and churn tendencies.
Efektivitas Media Pembelajaran GeoGebra Terhadap Kemampuan Pemahaman Konsep dan Pemecahan Masalah Matematis Siswa Pada Materi Sistem Persamaan Linear Tiga Variabel Di Kelas X SMK Swasta Budi Setia Sunggal T.A 2025/2026 Nainggolan, Justri; Hutauruk, Agusmanto J.B; Situmorang, Adi Suarman
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27495

Abstract

This study aims to determine the effectiveness of the GeoGebra learning medium on students’ conceptual understanding and mathematical problem-solving skills regarding the topic of systems of linear equations with three variables in the 10th grade at Budi Setia Private Vocational High School. This study employed a quantitative method using a quasi-experimental design in the form of a pretest-posttest-only control group design. The study population consisted of all Grade 10 students at Budi Setia Private Vocational High School, comprising 5 classes. The sample was determined using purposive sampling, resulting in Class X TKR as the experimental class (30 students) and Class X MP as the control class (30 students). The research instrument consisted of an essay test that had been validated for validity and reliability. Pre-test and post-test data were analyzed using normality tests, homogeneity tests, t-tests, N-Gain, and Effect Size. Calculations for the experimental class showed an average score of 77.80 for mathematical concept comprehension, while the control class had an average score of 68.07. Calculations for the experimental class showed an average score of 73.63 for mathematical problem-solving ability, while the control class had an average score of 66.73. Based on the t-test results, a significance value of 0.001 0.05 was obtained, so the null hypothesis was rejected. The GeoGebra learning tool was found to be effective because it was proven to significantly improve student learning outcomes, as evidenced by a comparison of average post-test scores between classes that used the tool and those that did not. In terms of mathematical concept comprehension, students in the experimental class taught using GeoGebra achieved an average score of 77.80, far surpassing the control class, which averaged only 68.07. This advantage was also consistently evident in the mathematical problem-solving ability indicator, where the experimental class recorded an average score of 73.63, while the control class lagged behind at 66.73. The conclusion of this study is that the GeoGebra learning medium is effective in enhancing students’ mathematical conceptual understanding and problem-solving abilities regarding the topic of systems of linear equations with three variables in Grade 10 at Budi Setia Private Vocational High School.
Efektivitas Pembelajaran Berbasis Masalah Terhadap Pemahaman Konsep dan Kemampuan Berpikir Tingkat Tinggi Siswa Pada Materi Fungsi Kuadrat di Kelas X SMK Swasta Parulian 1 Medan T.A 2025/2026 simarmata, eunike claudia; Tambunan, Hardi; Simanjuntak, Ruth Mayasari
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.27465

Abstract

This study aims to determine the effectiveness of problem-based learning on students’ conceptual understanding and higher-order thinking skills regarding quadratic functions among 10th-grade students at Parulian 1 Private Vocational High School in Medan during the 2025/2026 academic year. This is a quantitative study using a descriptive approach. The population in this study consists of all 10th-grade students, while the sample comprises Class X-TKJ and X-AP, selected through purposive random sampling. The instruments used include essay tests, questionnaires, and observation sheets, all of which have been validated for validity and reliability. The results of the study indicate that problem-based learning is effective in improving students’ conceptual understanding of mathematics and higher-order thinking skills, with a level of effectiveness falling into the moderate category.
Peramalan Pertambahan Pasien Rawat Inap dengan Menggunakan Model Support Vector Regression (SVR) Wati, Ririn Indah; Sari, Rina Filia; Widyasari, Rina
Imajiner: Jurnal Matematika dan Pendidikan Matematika Vol 8, No 3 (2026): Imajiner: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26877/imajiner.v8i3.26830

Abstract

This research aims to see the prediction of the number of patients at the Medan Haji General Hospital in 2022-2023. A hospital is a health service institution that provides complete individual health services, providing inpatient, outpatient and emergency services. In implementing health services, hospitals must maintain medical records to support services and process patient information. This hospital serves all types of groups around North Sumatra. Prediction is the process of forecasting future demand which will include demand in terms of quantity, quality, time and location to meet demand for goods, services or the environment. This research uses the Support Vector Regression (SVR) method. Support Vector Regression (SVR) is a learning system that applies linear functions to a hypothetical feature space with high dimensions. The SVR algorithm concept can produce good forecasting values because SVR has the ability to solve overfitting problems. Overfitting is data behavior during the training phase that results in almost perfect prediction accuracy. Based on the results of data processing using the Support Vector Regression (SVR) method, it can be concluded that the application of the forecasting method in predicting the number of inpatient visits at RSU Haji Medan using the SVR method is carried out by determining predictions using three kernels, namely the RBF, linear and polynomial, then determine the best MSE and RMSE values to then be used as the best kernel. The results of forecasting inpatient visits using the SVR method show that the predicted results have decreased from the previous actual data which is not much different, but the predicted number of inpatients is almost the same every month and experiences insignificant decreases and increases.Keywords: Prediction; Support Vector Regression (SVR).

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