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JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA
Published by Universitas PGRI Yogyakarta
ISSN : 24073792     EISSN : 25492616     DOI : -
Core Subject : Education,
Education
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika, e-ISSN: 2549-2616, p-ISSN: 2407-3792 Is an information container containing scientific articles of research, literature studies, ideas, the application of theory, the study of critical analysis, and Islamic studies in the field mathematics and mathematics education. DERIVAT JOURNAL is published twice in ane year, January-June and August to December period, published by Mathematics Education Study Program of Universitas PGRI Yogyakarta.
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Articles 290 Documents
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Pengaruh Vaksinasi Pada Anjing Terhadap Tingkat Penularan Rabies Menggunakan Pemodelan Dinamik Ludji, Dian Grace; Bobu, Fetronela Rambu
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 12 No. 1 (2025): Jurnal Derivat (April 2025) In Press
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v12i1.7224

Abstract

Rabies is a disease that attacks the central nervous system (brain) caused by the rabies virus. Rabies is the most frightening infectious disease in the province of East Nusa Tenggara (NTT) where two people in TTU district were reported to have died from the Rabies virus due to being exposed to GHPR. This research was conducted to see the effect of vaccination on dogs on the rate of rabies transmission. The method used is to first create a mathematical model of rabies transmission by adding vaccination variables, then conducting numerical analysis and simulation. The model formed is . This model is formed to see the effect of vaccination in animals on the transmission of rabies in humans. This model has two equilibrium points, namely a disease-free equilibrium point with the results of the analysis of its stability conditions being locally asymptotically stable when   and a disease-endemic equilibrium point with its stability conditions being unstable when . This means that rabies will disappear within a certain period of time. Numeric simulation was performed to support the analysis results using MAPLE software. The simulation results show that in more than 120 days rabies will disappear. Vaccination has a significant impact on the transmission of rabies, that is, the greater the rate of vaccination, the faster it will stop the transmission of rabies. Keywords: Dynamic Model, Rabies Transmission, Rabies Vaccine
Penerapan Quantum Learning Dengan Congklak Daur Ulang Untuk Meningkatkan Kemampuan Kombinatorik Siswa Hadi, Satria Purnama; Jubaeni; Tuankotta, Anisa Maulida; Nurrahmah, Arfatin
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 12 No. 1 (2025): Jurnal Derivat (April 2025) In Press
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v12i1.7246

Abstract

Recycled congklak is a game that is closely related to mathematics, especially probability. The learning model applied is Quantum Learning in the process of learning mathematics. The purpose of this research is to evaluate the effectiveness of Quantum Learning in improving students' combinatorial ability while providing additional benefits in understanding sustainability through the use of recycled congklak game. The use of experimental research method where students are divided into two classes, namely experimental class and control class. The research sample was students of SMPIT Ar-Rahman Islamic School grade IX. The data analysis process used the SPSS application by conducting various pre-requisite analysis tests and the Mann-Whitney Test and comparing the average N gain value of each class. Recycled congklak learning is very helpful for students in understanding mathematical concepts, especially in probability material and has an effect on students' combinatoric abilities. The application of Quantum Learning implemented in the classroom makes students more active and responsive in listening to learning and guidance.  Keywords: recycled congklak, combinatorics skills, probability, quantum learning.
Analisis Etnomatematika Pada Kue Tradisional Bugis Dan Penerapannya Dalam Pembelajaran Geometri Nurdin, Hasnawati; Nur, Fitriani; Yuliany, Nur
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 12 No. 1 (2025): Jurnal Derivat (April 2025) In Press
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v12i1.7341

Abstract

This research aims to analyze the ethnomathematics concepts contained in traditional Bugis cakes and their application in geometry learning at school. The background to this research is the need for a mathematics learning approach that integrates local culture to increase students' understanding while preserving cultural heritage. The research method used is descriptive exploratory with a qualitative approach, involving observation, interviews and documentation. The research results show that traditional Bugis cakes such as doko-doko utti, bolu cukke, cangkuning, onnde-onde, and nennu-nennu have geometric shapes related to geometric concepts, such as squares, balls, pyramids, and tubes. The application of these concepts helps students understand mathematics through concrete objects that are close to everyday life. This research contributes to geometry learning by introducing an innovative approach based on local culture that is relevant and interesting for students, while preserving tradition through education. Keywords : Ethnomathematics, Geometry, Traditional cakes, Education.
Analisis Kestabilan Model Penipisan Sumber Daya Hutan Dengan Mempertimbangkan Faktor Migrasi Penduduk Vivi Ramdhani
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 12 No. 1 (2025): Jurnal Derivat (April 2025) In Press
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v12i1.7202

Abstract

This article is presented a depletion model of forest resource (B) due to population (N) and population pressure (P), as well as the impact of industrialization (I) by taking into account population migration factors on population rates (N) due to the availability of industry. The method used in this article is through literature study. Based on the analysis model, 4 non-negative fixed points are obtained, namely and  Next, the stability of the four fixed points is explained . The analysis results reveal that the fixed points dan   are types of saddle point fixed points and are unstable. Meanwhile, the stability of the fixed point  is explained using a numerical calculation approach because it is not easy to describe it analytically. In the final part, a numerical simulation was carried out on the balance point and it was found that the stability of forest resources decreased along with the increase in population and population pressure and industrialization. The availability of forest resources has a positive effect on population levels. However, population growth will increase because it is influenced by population migration factors which cause a decline in forest resources. Therefore, it is necessary to control the population rate in order to protect forest resources from extinction. Keywords: Fixed point, Forest resources, Population migration,  Stability.
Pengaruh Media Pembelajaran Berbasis Information and Communication Technology (ICT) Wordwall dan Quizwhizzer Terhadap Minat Belajar Siswa pratama, Deni Andika Nur; Wahyu Lestari; Darwin Djeni
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 12 No. 1 (2025): Jurnal Derivat (April 2025) In Press
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v12i1.7633

Abstract

This study aims to examine the effect of the application of ICT learning media based on Wordwall and QuizWhizzer, on students' interest in learning mathematics.The method in this study is quantitative applying a correlation approach with a sample of 38 students of class VIII MTs SA Tarbiyatus Shibyan. Data were collected through observation, questi onnaires, interviews, documentation, and analyzed by applying the Pearson Product Moment multiple correlation test (Correlation Multiple). The results of the study showed that Wordwall has a very strong relationship with students' interest in learning while QuizWhizzer showed a strong relationship . When both media were used simultaneously,  the results of the multiple correlation test showed a very strong relationship with an  result of  and a coefficient of determination , which means the variation in students' interest in learning can be described by the application of Wordwall and QuizWhizzer. Thus, the application of these two media simultaneously has proven effective in optimizing students' interest in learning. Therefore, educators are advised to integrate Wordwall and QuizWhizzer into their learning to develop a more inspiring and responsive learning experience.  Keyword: Information and Communication Technology (ICT) Learning Media Wordwall,  QuizWhizzwer, Learning Interest.
Eksplorasi Etnomatematika Pada Batik Samer Jumputan Di Sentra Batik Ayu Kedunggudel Sukoharjo Nazahra, Sevia; Astutiningtyas, Erika Laras
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 12 No. 1 (2025): Jurnal Derivat (April 2025) In Press
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v12i1.7642

Abstract

Abstract This study aims to explore the concept of ethnomathematics in Samer Jumputan batik at Sentra Batik Ayu, Kedunggudel, Sukoharjo. This motif combines Javanese and Kalimantan cultural elements, such as wajik, jumputan, samer, bulu ruai, and wallet. The research employs a qualitative method with an ethnographic approach, including observation, interviews, and documentation to obtain comprehensive data. The study reveals the concepts of geometric transformation, including translation, reflection, rotation, dilation, and transformation combinations in batik patterns. The findings indicate that the Samer Jumputan motif can be used as a contextual medium in mathematics learning, particularly in geometric transformation concepts. In addition to enhancing students' understanding of mathematical concepts, this study also strengthens appreciation for local culture. Thus, batik serves as an effective educational tool while enriching culture-based learning.  Keywords: Batik Samer Jumputan, ethnomathematics, geometric transformation, culture-based learning
Pengembangan Mobile Learning Berbantuan Kodular Untuk Meningkatkan Kemampuan Pemahaman Matematis Siswa Kelas X Sadiyah, Ulim Fatma; Kumala, Fitria Zana
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 12 No. 1 (2025): Jurnal Derivat (April 2025)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v12i1.5442

Abstract

The lack of understanding of mathematics in class X SMA Muhamadiyyah 1 Purbalingga triggered this research. The average score of the initial test of students' mathematical understanding abilities that the researchers conducted was 59.6. Interviews with mathematics teachers in class X showed that textbooks were the only form of teaching material. The aim of this research is to create Android-based mobile learning media on opportunity material aimed at improving the mathematical understanding of class X students. Samples were taken from two classes to become the research population (X-A, experimental, X-B control) in class Based on the research results, class X students benefited from using Android-based mobile learning media on opportunity material. Experts in the field validate the media level at 90.00%. Teacher response reached 80%. Prerequisite tests, including normality and homogeneity, were carried out before the sample t test was carried out to show that, at a Sig (2-tailed) significance level of 0.000 0.05, there was a difference in the average N-Gain scores between the two groups. This shows that H1 is accepted and H0 is rejected. The average N-Gain score for the experimental class was 0.76, higher than the N-Gain score for the control class, which was 0.265. The results show that the Android-based mobile learning learning media uses opportunity material. Class X students of SMA Muhamadiyyah 1 Purbalingga showed a significant increase in mathematical understanding after using Android-based mobile learning.  Keywords: Mobile Learning, Learning Media, Mathematical Understanding
Bagaimana Emosi Senang dan Bosan Tampak Dalam Pembelajaran Matematika Siswa SMP? Firdausa Yanuar; Pradnyo Wijayanti
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 12 No. 1 (2025): Jurnal Derivat (April 2025)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v12i1.6138

Abstract

Students' daily lives at school are characterized by a range of emotions. In recent years there has been interest in these emerging emotions, as they have been shown to affect future performance and learning. One sub-group of these emotions is the emotion of achievement. However, there is very little research on how achievement emotions emerge during mathematics learning. This study was conducted to find out how the achievement emotions of enjoyment and boredom emerge when learning mathematics in grade 7 junior high school students. A total of 31 students from class VII-A SMPN 1 Buduran participated in this study. The research type is  descriptive quantitative and was conducted by giving a questionnaire of achievement emotions to these 31 students and conducting interviews with 10 students. The research result shows that these two emotions can exist in one math learning meeting due to certain things such as how the teacher manages the class in learning and both occur in different phases of learning. Keywords: Achievement emotion, enjoyment, boredom, mathematics learning
Optimalisasi Fase Dan Durasi Lampu Lalu Lintas Bundaran Digulis Pontianak Sijabat, Harry Evendy; Nilamsari Kusumastuti; Fransiskus Fran
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 12 No. 1 (2025): Jurnal Derivat (April 2025)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v12i1.6551

Abstract

Digulis Roundabout Pontianak is one of the intersections that has a fairly heavy traffic flow that often causes congestion at this intersection. Therefore, it is necessary to optimise the phase and duration of traffic lights by applying fuzzy graph   to reduce congestion at thy are. In this study, traffic flows are represented as vertices and flows that cross or intersect are represented as edges, then the degree of membership of the vertices is represented as the density of the traffic flow and the degree of membership of the edges is represented as the level of conflict between two vehicle flows that can cause traffic conflicts. Based on this representation, a fuzzy graph  consisting of 14 vertices and 42 edges is obtained. Furthermore, fuzzy graph formation is modelled as a fuzzy graph colouring problem. Fuzzy graph colouring using the concept of Eslachi and Onagh (2006) produces chromatic numbers for  ∝, namely  ,  ,and   and the largest chromatic number is 4, meaning that there are 4 traffic phases obtained at Digulis Roundabout Pontianak. Next the optimal duration of each phase was found using the Webster method. The green light duration for each phase of Digulis Roundabout Pontianak is obtained, namely, Jenderal A Yani 2 street for 53 seconds, Jenderal A Yani 1 street for 46 seconds, Daya Nasional street for 15 seconds, Prof. Hadari Nawawi street for 18 seconds Keywords : traffic jam, fuzzy graph , fuzzy graph colouring, Webster method
Analisis Kestabilan Model Penipisan Sumber Daya Hutan Dengan Mempertimbangkan Faktor Migrasi Penduduk Vivi Ramdhani
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 12 No. 1 (2025): Jurnal Derivat (April 2025)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/j.derivat.v12i1.7202

Abstract

This article is presented a depletion model of forest resource (B) due to population (N) and population pressure (P), as well as the impact of industrialization (I) by taking into account population migration factors on population rates (N) due to the availability of industry. The method used in this article is through literature study. Based on the analysis model, 4 non-negative fixed points are obtained, namely and  Next, the stability of the four fixed points is explained . The analysis results reveal that the fixed points dan   are types of saddle point fixed points and are unstable. Meanwhile, the stability of the fixed point  is explained using a numerical calculation approach because it is not easy to describe it analytically. In the final part, a numerical simulation was carried out on the balance point and it was found that the stability of forest resources decreased along with the increase in population and population pressure and industrialization. The availability of forest resources has a positive effect on population levels. However, population growth will increase because it is influenced by population migration factors which cause a decline in forest resources. Therefore, it is necessary to control the population rate in order to protect forest resources from extinction. Keywords: Fixed point, Forest resources, Population migration,  Stability.

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