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<![CDATA[Pembinaan Kompetisi Sains Madrasah Bidang Matematika Terintegrasi Untuk Meningkatkan Kompetensi Siswa ]]>
<![CDATA[Pratama, Rian Ade]]>;
<![CDATA[Ruslau, Maria Fransina Veronica]]>
<![CDATA[ MATAPPA: Jurnal Pengabdian Kepada Masyarakat Volume 4 Nomor 2 Tahun 2021 ]]>
Publisher : <![CDATA[STKIP Andi Matappa ]]>
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DOI: 10.31100/matappa.v4i1.1085
<![CDATA[The organization of the Madrasah Science Competition Coaching aims to improve students' competence in the field of integrated mathematics. The coaching takes place in three phases: firstly, planning, secondly, implementation and thirdly, evaluation. In the planning phase, the creation of books and questions is the first strategic step. The reference to the characteristics of the questions of the previous year becomes a material for the development and solution of questions. The implementation phase consists of selection, socialization, discussion, question and answer and coaching. The evaluation phase is divided into the evaluation of the student's competencies and the evaluation of the implementation of coaching. The assessment of the student competence is carried out by the Tryout 2 competition for integrated mathematics in the madrasah. The results of the coaching of the integrated math-madrasah-science competition at Madrasah Aliyah Al Munawarah Merauke have a good influence on the competence skills of the students. Coaching becomes an incentive program for students to participate in the 2020 Madrasa Science Contryout. During the entire coaching process, the students are active in questions, answers and discussions. The integrated mathematics assessment in experiment 1 to experiment 2 shows that the student's competence has increased. Meanwhile, the Tryout 2 results of the coaching participants have shown positive results to participate in the Madrasah Science Integrated Math Competency in 2020.]]>
<![CDATA[The Development of Mathematics Learning Tools to Improve High School Students' Critical Thinking Abilities ]]>
<![CDATA[Nurhayati]]>;
<![CDATA[Ruslau, Maria F V]]>;
<![CDATA[Natsir, Irmawaty]]>;
<![CDATA[Pratama, Rian Ade]]>;
<![CDATA[Asmaningrum, Henie Poerwandar]]>
<![CDATA[ Jurnal Pendidikan Matematika (JPM) Vol 10 No 1 (2024): Jurnal Pendidikan Matematika (JPM) ]]>
Publisher : <![CDATA[Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Islam Malang ]]>
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DOI: 10.33474/jpm.v10i1.21309
<![CDATA[This research aims to produce high school mathematics learning tools to improve students' critical thinking skills which include Student Worksheets (LKPD), and learning outcome assessment test sheets that are valid, practical and effective. The combination of learning methods and technological devices provides a fun learning process and helps students improve their critical thinking skills so as to provide benefits to students' learning outcomes. The type of research carried out is the research and development method. The development model referred to is using a 4-D development model which consists of four stages, namely the define stage, the design stage, the develop stage and the disseminate stage. The research instruments used were validation sheets, teacher practicality sheets, student practicality sheets, learning implementation observation sheets, and test sheets. The research data obtained that the level of device validity was in the valid category with an average score of 74.5. The teacher obtained a score of 60.5 for practicality and 61.88 for student practicality, so that the product met the practical category, and the results of students' mathematics learning achievement tests in the field trial showed that 83.3% of students had achieved the Minimum Completeness Criteria (KKM) so that the product The worksheet meets the effective category. Based on the obtained validity, practicality and effectiveness figures, it can be concluded that the learning tools developed are suitable for use in the classroom learning process.]]>
<![CDATA[ANALISIS KESTABILAN MODEL POPULASI SATU MANGSA-DUA PEMANGSA DENGAN TAHAPAN STRUKTUR DAN PEMANENAN PADA PEMANGSA ]]>
<![CDATA[Pratama, Rian Ade]]>;
<![CDATA[Palobo, Markus]]>;
<![CDATA[Ruslau, Maria Fransina Veronica]]>
<![CDATA[ MUSTEK ANIM HA Vol 8 No 03 (2019): MUSTEK ANIM HA ]]>
Publisher : <![CDATA[Faculty of Engineering, Musamus University, Merauke, Indonesia ]]>
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DOI: 10.35724/mustek.v8i03.2619
<![CDATA[Jurnal ini membahas mengenai model populasi mangsa-pemangsa dengan tahapan struktur. Pengambangan model matematika untuk memprediksi keberlanjutan dari suatu populasi makhluk hidup. Dalam hal ini tahapan struktur terjadi pada pemangsa kecil dan pemangsa dewasa. Fungsi respon yang menjadi karakteristik dari pemangsa adalah dengan mengikuti fungsi respon Holling Type I yang sesuai dengan karakteristik pada ekosistem makhluk hidup. Pada model yang dibentuk tersebut di analisis tentang nilai equilibrium dan kestabilan nilai equilibrium yang paling mendekati. Analisis ini dilakukan dengan menghitung nilai yang ada kesetimbangan pada titik equiblibrium yang terbentuk sebagai produk. Metode pelinieran pada sistem titik equilibrium ini untuk mewujudkan nilai eigen yang akan membuat model tersebut memenuhi syarat kestabilan. Pada proses yang dilakukan diperoleh empat produk titik equilibrium. Setiap titik equilibrium tentu memiliki ciri dan karakteristik serta syarat yang unik. Kriteria Routh-Hurwitz menjadi karakteristik yang digunakan untuk menjelaskan karakteristik kestabilanya. Sementara interpretasi dari nilai eigen pada persamaan karakteristik juga mempertimbangakan persamaan karakteristik matriks Jacobi. Disini juga dianalisis dinamika perubahan pada kasus yang memungkinkan dalam ekosistem untuk dilakukan eksploitasi jangka panjang dan berkelanjutan.]]>
<![CDATA[Improving the Prospective Math Teacher's Literacy Skills by Using Digital Images in STEM-Based Instruction ]]>
<![CDATA[Ruslau, Maria F V.]]>;
<![CDATA[Nur'Aini, Khumaeroh Dwi]]>;
<![CDATA[Pratama, Rian Ade]]>
<![CDATA[ MATHEMA: JURNAL PENDIDIKAN MATEMATIKA Vol 6, No 2 (2024): MATHEMA ]]>
Publisher : <![CDATA[Universitas Teknokrat Indonesia ]]>
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DOI: 10.33365/jm.v6i2.4170
<![CDATA[The demands of high school education are not only increasingly complex and difficult subject content, students are also required to be able to think critically and reason in solving everyday problems. This mathematical ability is known as mathematical literacy proficiency. This is where the teacher's role as a facilitator who provides stimulus in the form of learning strategies, guidance and assistance when students experience learning difficulties is a key factor. For this reason, students as prospective mathematics teachers need to have good mathematical literacy skills and knowledge and skills to guide students to achieve 21st century abilities and skills. This research was conducted to apply a STEM approach in learning so that students can improve the mathematical literacy skills of students majoring in Mathematics Education as prospective teachers and introduce and equip them with knowledge about STEM. The research was carried out using problems related to the relationship between mathematics and digital images in STEM. Data is collected through tests and assessments of student activities that integrate STEM in solving problems. The research results show that digital images have the potential to help students understand mathematical concepts in various fields, especially computer graphics. Students' literacy skills also increased significantly at the significance level α = 0.05. Students' mathematical literacy proficiency level increased from 90% at maximum level 1 to 90% at minimum level 5]]>
<![CDATA[PENGATURAN JARAK TANAM DAN APLIKASI MIKORIZA PADA TANAMAN CABAI MERAH (Capsicum annum L.) ]]>
<![CDATA[Amir, Nurbaiti]]>;
<![CDATA[Aminah, R. Iin Siti]]>;
<![CDATA[Paridawati, Ika]]>;
<![CDATA[Pratama, Rian Ade]]>
<![CDATA[ Klorofil: Jurnal Penelitian Ilmu-Ilmu Pertanian Vol 19, No 1 (2024): Klorofil ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Palembang ]]>
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DOI: 10.32502/jk.v19i1.8715
<![CDATA[Cabai merah (Capsicum annum L.) merupakan tanaman potensial yang perlu dikembangkan karena memiliki peluang pasar yang besar baik lokal maupun ekspor, di Sumatera Selatan belum banyak dibudidayakan dan produksinya masih rendah. Penelitian ini bertujuan untuk mengetahui dan menentukan jarak tanam dengan dosis mikoriza yang tepat terhadap pertumbuhan dan hasil cabai merah. Penelitian ini telah dilaksanakan pada lahan petani bertempat di Kel.Sukajadi Kec.Talang Kelapa, Banyuasin Sumatera Selatan. Penelitian ini menggunakan metode eksperimen dengan rancangan petak terbagi (split plot design), terdiri dari 12 kombinasi perlakuan dan 3 ulangan. Faktor pertama (Petak Utama) Jarak tanam (J) yaitu J1 = 60 cm x 60 cm, J2 =60 cm x 80 cm dan J3 = 60 cm x 100 cm sedangkan faktor kedua (Anak Petak) Dosis Mikoriza (M) yaitu M0 = kontrol ; M1 = 3 g/ tanaman ; M2 = 5 g/tanaman dan M3 = 7 g/tanaman. Peubah pengamatan dalam penelitian ini antara lain tinggi tanaman (cm), berat buah per tanaman (g) dan berat buah per petak (g). Hasil penelitian menunjukkan bahwa kombinasi perlakuan jarak tanam 60 cm x 100 cm dengan mikoriza dosis 7 g/tanaman memberikan hasil terbaik dengan produksi 664 g/petak setara dengan 1,77 ton/ha.Red chili (Capsicum annum L.) is a potential crop that needs to be developed because it has large market opportunities both locally and for export. In South Sumatra it is not widely cultivated and production is still low. This research aims to determine and determine the planting distance with the correct dose of mycorrhiza on the growth and yield of red chilies. This research was carried out on farmers' land located in Sukajadi Subdistrict, Talang Kelapa Subdistrict, Banyuasin, South Sumatra. This research used an experimental method with a split plot design, consisting of 12 treatment combinations and 3 replications. The first factor (Main Plot) is Planting distance (J), namely J1 = 60 cm x 60 cm, J2 = 60 cm x 80 cm and J3 = 60 cm x 100 cm while the second factor (Subplots) Mycorrhiza Dosage (M) is M0 = control ; M1 = 3 g/plant; M2 = 5 g/plant and M3 = 7 g/plant. Observed variables in this study included plant height (cm), fruit weight per plant (g) and fruit weight per plot (g). The research results showed that the combination of 60 cm x 100 cm planting distance treatment with mycorrhiza dose of 7 g/plant gave the best results with a production of 664 g/plot equivalent to 1.77 tons/ha.]]>
<![CDATA[ANALYSIS DINAMIC AND BIOECONOMIC OF A PREDATOR-PREY SYSTEM WITH MARINE NATIONAL PARK ]]>
<![CDATA[Pratama, Rian Ade]]>;
<![CDATA[Wahyudi, Candra Agus]]>
<![CDATA[ Jurnal Silogisme : Kajian Ilmu Matematika dan Pembelajarannya Vol 8, No 1 (2023): Juni ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Ponorogo ]]>
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DOI: 10.24269/silogisme.v8i1.6771
<![CDATA[In the study of fisheries or marine products in developing countries, the problem of managing marine resources is often faced. Excessive exploitation due to weak legal and supervisory sectors is the most frequently used factor. This research involves a predator-prey mathematical model and provides an intervention variable exploitation, namely harvest. Harvest is carried out on two types of species that inhabit two protected areas of the marine national park zone. One of the objectives of the exploitation variable is to provide benefits for harvesters, such as fishermen. Boundary areas in the marine national park zone and points of equilibrium are assigned to research wetting. Stability analysis using the Routh-Hurwitz criteria indicates the survival of the population. The predator-prey model formed resulted in seven non-negative equilibria, but only one equilibrium point met the research assumptions. Numerical simulations are also provided in trajectories from the initial model formation to the bionomic shape. The basic assumption is that harvesting is carried out in the marine national park zone harvesting is carried out only in a limited way. In the prey one population, more can be harvested in the region than the prey two population. Ecologically, the population of prey one lives in a larger carrying capacity area. In the predator-prey model system, the predator-prey model makes it possible to harvest populations that live in a wider area. The wider the area of the marine national park zone, the more it is permitted to carry out exploitation efforts, provided that it is still limited.]]>
<![CDATA[Pengembangan Lembar Kerja Siswa Berbasis Model Contextual Teaching and Learning pada Materi Program Linear ]]>
<![CDATA[Iriani, Cindy Dian]]>;
<![CDATA[taufik, Abdul Rachman]]>;
<![CDATA[Pratama, Rian Ade]]>
<![CDATA[ Jurnal Inovasi Pembelajaran Matematika (JIPM) Vol. 2 No. 2 (2021): Edisi April 2021 ]]>
Publisher : <![CDATA[Prodi Matematika STKIP PGRI Sumenep ]]>
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DOI: 10.36379/jipm.v2i2.162
<![CDATA[Penelitian ini merupakan penelitian pengembangan yang bertujuan untuk mengembangkan bahan ajar berupa LKS berbasis Contextual Teaching and Learning (CTL) pada materi program linear yang valid dan praktis. Model pengembangan yang diterapkan mengacu pada model 4-D dari Thiagarajan yaitu pendefinisian, pendesainan atau perancangan, pengembangan, dan penyebaran. Penelitian hanya dilakukan sampai tahap ujicoba terbatas dan tahap disseminate (penyebaran) tidak dilakukan sebab waktu penelitian terbatas. Penelitian dilaksanakan di MA Al-Hikmah kelas XI sebagai subjek penelitian. Pengumpulan data dilakukan dengan pemberian angket kevalidan kepada validator untuk melihat kelayakan produk serta angket kepraktisan kepada guru dan siswa untuk melihat kebermanfaatan produk yang akan diberikan. Analisis data dilakukan dengan perhitungan skor rata-rata yang dimasukan pada kategori penilaian skala likert, kemudian dikonversikan ke data kualitatif. Produk yang diperoleh berupa LKS Berbasis CTL pada materi program linier. Hasil penelitian menunjukkan bahwa bahan ajar LKS berada pada kriteria valid dengan skor rata-rata 89,33 dan praktis dengan skor rata rata 43,83 dan 49 berdasarkan penilaian siswa dan guru. Dengan hasil yang diperoleh tersebut maka produk LKS layak digunakan.]]>
<![CDATA[Analysis Dynamics Model Predator-Prey with Holling Type III Response Function and Anti-Predator Behavior ]]>
<![CDATA[Pratama, Rian Ade]]>;
<![CDATA[Suryani, Dessy Rizki]]>;
<![CDATA[Ruslau, Maria F. V.]]>;
<![CDATA[Meirista, Etriana]]>;
<![CDATA[Nurhayati, Nurhayati]]>
<![CDATA[ JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 3 (2025): July ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Mataram ]]>
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DOI: 10.31764/jtam.v9i3.31533
<![CDATA[Understanding predator-prey dynamics is essential for maintaining ecological balance and biodiversity. Classical models often fail to capture complex biological behaviors such as prey defense mechanisms and nonlinear predation effects, which are vital for accurately describing real ecosystems. In light of this, there is a growing need to incorporate behavioral and functional complexity into mathematical models to better understand species interactions and their long-term ecological outcomes. This study aims to develop and analyze a predator-prey model that integrates two key ecological features: a Holling type III functional response and the anti-predator behavior exhibited by prey. The model assumes a habitat with limited carrying capacity to reflect environmental constraints. We formulate a nonlinear system of differential equations representing the interaction between prey and predator populations. The model is examined analytically by identifying equilibrium points and analyzing their local stability using the Routh-Hurwitz criteria. A literature-based theoretical analysis is supplemented with numerical simulations to validate and illustrate population dynamics. The model exhibits three equilibrium points: a trivial solution (extinction), a predator-free equilibrium, and a non-trivial saddle point representing coexistence. The non-trivial equilibrium best reflects ecological reality, indicating stable coexistence where prey consumption is balanced by reproduction, and predator mortality aligns with energy intake. Numerical simulations show that prey populations initially grow rapidly, then decline as they reach carrying capacity, while predator populations grow after a time lag and eventually stabilize. The results are further supported by the eigenvalue analysis, confirming local asymptotic stability. The proposed model realistically captures predator-prey dynamics, demonstrating that the inclusion of anti-predator behavior and a Holling type III response significantly affects population trajectories and system stability. This framework provides a more ecologically valid approach for studying long-term species coexistence and highlights the importance of incorporating behavioral responses in ecological modeling.]]>
<![CDATA[Hydra effects predator-prey bazykin's model with stage-structure and intraspecific for predator ]]>
<![CDATA[Pratama, Rian Ade]]>;
<![CDATA[Amil Siddik, A. Muh.]]>;
<![CDATA[Dadi, Oswaldus]]>;
<![CDATA[Kasbawati, Kasbawati]]>
<![CDATA[ Desimal: Jurnal Matematika Vol. 5 No. 3 (2022): Desimal: Jurnal Matematika ]]>
Publisher : <![CDATA[Universitas Islam Negeri Raden Intan Lampung ]]>
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DOI: 10.24042/djm.v5i3.13160
<![CDATA[Bazykin's predator-prey population model is considered to represent the exchange stability condition of population growth. The existence of the hydra effect and, at the same time, analyzing its influence on population growth. The condition of the model divides the species into a stage structure, namely, prey, immature predators, and mature predators. The population growth of the three species has its own characteristics. This research revealed that the Holling type II and intraspecific predatory function responses together induce the Hydra effect. In the model formed, there are 12 equilibrium points, with details for every seven points of negative imaginary equilibrium and five points of non-negative equilibrium. The findings of research studies center on five points of non-negative equilibrium. All real roots that interpret the species population's growth conditions are taken and tested for long-term stability. The test results show one point of equilibrium that meets the Routh-Hurwitz criteria and their characteristic equations. In numerical simulations, the maximum sustained yield is in the local asymptotic stable state. The growth of prey trajectories increased significantly, although at the beginning of the interaction there was a slowdown in population growth. Meanwhile, the population of immature predators and mature predators was not significantly different. Both populations grow steadily toward the point of population stability. It turns out that the two populations grow inversely, the faster the rate of predation by predators, the faster the growth rate of the prey population.]]>
<![CDATA[Modeling Predator-Prey Interactions Barramundi in Dogamit Swamp Wasur National Park Merauke ]]>
<![CDATA[Pratama, Rian Ade]]>;
<![CDATA[Ruslau, Maria F V]]>;
<![CDATA[Suryani, Dessy Rizki]]>;
<![CDATA[Nurhayati, Nurhayati]]>;
<![CDATA[Meirista, Etriana]]>
<![CDATA[ JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 8, No 4 (2024): October ]]>
Publisher : <![CDATA[Universitas Muhammadiyah Mataram ]]>
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DOI: 10.31764/jtam.v8i4.25563
<![CDATA[Dogamit, which serves as a habitat for fish species growth, has drawn attention due to its location within a national park and the practice of 'sasi' by the local community as a way to preserve the ecosystem and the species that interact within it. In this research, mathematical modeling variables are explained to describe species' life based on direct observation. As the ecosystem’s inhabitants, the dominant predator species in the ecosystem is the Barramundi fish. Historically, this predator species has migrated from the waters of Australia. The aim of this research is to determine the locally stable equilibrium point and analyze the growth trajectories of the species. The testing is conducted based on equilibrium point analysis. There are three equilibrium points, but only one is a non-negative and realistic point for stability testing. This equilibrium point is then tested using the Routh-Hurwitz criteria. Stability is analyzed using the Jacobian matrix to obtain the eigenvalues. All eigenvalues are negative, thus it can be concluded that the model tested is locally stable. A numerical simulation analysis is also provided, involving parameters that support the mathematical model. The parameters are derived from previous relevant studies and realistic assumptions. The numerical simulation analysis method is used to observe the population growth trajectories. The trajectories that appear show similar conditions for both populations. Both populations experience significant fluctuations with an average growth rate of 67%. It takes 3/5 of the species' lifespan for both populations to stabilize again within the ecosystem. The predator-prey populations also demonstrate resilience during fluctuations, indicating that both populations are highly robust in maintaining survival. The characteristics and findings of this research are commonly found only in endemic species populations. Endemic species tend to have long-term survival and endurance, allowing them to dominate their surrounding geographic habitat and maintain ecosystem balance. ]]>
