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All Journal Jurnal Penelitian Fisika dan Aplikasinya (JPFA) BUAH HATI BAREKENG: Jurnal Ilmu Matematika dan Terapan Manajer Pendidikan: Jurnal Ilmiah Manajemen Pendidikan Program Pascasarjana Jambura Journal of Mathematics Jurnal Abdi: Media Pengabdian Kepada Masyarakat Jambura Journal of Biomathematics (JJBM) JURNAL RECTUM: Tinjauan Yuridis Penanganan Tindak Pidana Prosiding Seminar Nasional Universitas Serambi Mekkah Edukasia: Jurnal Pendidikan dan Pembelajaran Jurnal Pendidikan MIPA Mathematics Education Journal AKSIOMA
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PEMODELAN DINAMIKA VIRUS RUBELLA DENGAN RISIKO SINDROM RUBELLA BAWAAN Abadi, Abadi; Artiono, Rudianto; Prawoto, Budi Priyo
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 15 No 1 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (473.89 KB) | DOI: 10.30598/barekengvol15iss1pp069-076

Abstract

Rubella is a common cause of childhood rash and fever. It is typically a mild infection but it can be serious condition in pregnant women, as it may cause Congenital Rubella Syndrome (CRS) in the fetus. The study aimed to model and analyze it in order to get picture about the dynamics of the rubella virus transmission. The paper discussed two models of rubella transmission involving child-bearing age women and newly born infants of infected mothers. The models are SEIR-IR without seasonality and SEIR-IR with seasonality. The results from the first model showed that a pitchfork bifurcation occurred in the dynamics of the solution of the system with constant infection rate and the increase of the infection rate value do not make impact to the incidence of rubella among infants. The second model involving seasonality gave interesting dynamics where big seasonality may lead to a more complex dynamics of the solution.
DYNAMICAL BEHAVIOR IN THE COMPETITIVE MODEL INCORPORATING THE FEAR EFFECT OF PREY DUE TO ALLELOPATHY WITH SHARED BIOTIC RESOURCES Dewi, Mifta Kharisma; Savitri, Dian; Abadi, Abadi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 4 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss4pp2663-2674

Abstract

This research develops a mathematical model of a natural phenomenon, namely sea snails that can release toxins (allelopathy) so that non-toxic sea snails become afraid. In addition, toxic and non-toxic sea snails share biotic resources. Based on the existing phenomenon, the model of fear effect caused by allelopathy in the competitive interaction model with shared biotic resources will be studied. In this system, three equilibrium points are obtained: extinction point of prey, extinction point of predator, and coexisting point under certain conditions. Analysis of local stability at equilibrium points by linearization shows that all equilibrium points are asymptotically stable with certain conditions. Numerical simulations at the equilibrium point show the same results as the analysis results. Then, numerical continuity was carried out by selecting variation of the fear effect parameter for Numerical continuity results show that changes in these parameters affect the population of toxic and non-toxic species, marked by the emergence of Transcritical bifurcations, Bifurcation occurs at the first Saddle-Node bifurcation at and the second Saddle-Node bifurcation at
The Effectiveness of B Cells in CAR T Cell Therapy for B Cells Acute Lymphoblastic Leukemia Haries, Elena M. D. P.; Abadi, Abadi
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 3: September 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i3.32511

Abstract

Chimeric Antigen Receptor (CAR) T cell therapy has shown remarkable clinical outcomes in B cell Acute Lymphoblastic Leukemia (B-ALL). The treatment can utilize the immune system to recognize and kill leukemia cells through the CD19 antigen target.  However, the CD19 antigen is also expressed on normal B cells, which can cause side effects in B cell aplasia.  This study modifies a mathematical model of the interaction between CAR T cells, leukemia cells, and normal B cells by introducing the assumption that leukemia cells follow logistic growth dynamics. Determined the equilibrium point and continues to analyze stability using linearization and the Routh-Hurwitz criterion.  The analysis reveals four equilibrium points, including a state where leukemia cells grow at maximum capacity in the absence of CAR T cells.  Bifurcation analysis shows the occurrence of both transcritical and subcritical Hopf bifurcations, with distinct patterns compared to previous models.   A heteroclinic cycle was also identified, indicating that relapse may occur even after remission.   The logistic growth and B cell progenitors not only shape remission and relapse dynamics but also explain the dual role of B cells in sustaining CAR T activation and causing complications such as Cytokine Release Syndrome (CRS). This provides new insights for understanding therapy outcomes and optimizing CAR T cell treatment strategies.
Building a Conceptual Framework of Mathematics-based Financial Literacy to Enhance Students’ Financial Decision-Making Skills Fachrudin, Achmad Dhany; Manuharawati, Manuharawati; Abadi, Abadi
Mathematics Education Journal Vol. 19 No. 4 (2025): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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Abstract

Despite the growing advocacy for integrating financial literacy into mathematics education, existing models rarely align financial concepts explicitly with mathematical competencies. This study introduces Mathematics-based Financial Literacy (MFL) and develops a novel conceptual framework that integrates financial literacy with key mathematical competencies, aiming to enhance students’ critical financial decision-making skills. The framework was constructed using a systematic methodology adapted from Jabareen, comprising four phases: literature review, pattern identification, category synthesis, and framework conceptualization, complemented by expert consultation. The development process involved deconstructing financial literacy concepts, identifying elements influenced by mathematical competencies, and synthesizing these elements into coherent categories to form a unified framework. The resulting MFL framework consists of four core content areas: financial calculations and transactions; risk and benefit analysis of financial products; tax calculations; and mathematics-based financial planning and management. These content areas are supported by six key mathematical competencies, which include reasoning and argumentation, communication, modelling, representation, problem solving, and the use of symbols and formalism, spanning three mathematical domains: quantity, change and relationships, and uncertainty and data. This structured mapping explicitly integrates mathematical competencies with financial literacy domains, providing a comprehensive and practical model for classroom implementation, while enabling teachers to design effective learning tasks and assessments that foster students’ financial comprehension and informed decision-making. Thus, this study offers a novel contribution to mathematics education by presenting a conceptual framework that systematically links financial literacy and mathematical competencies, supporting the implementation of measurable and relevant financial skills-based learning for students.
Efek Perlindungan Mangsa dan Daya Dukung Variabel pada Sistem Mangsa-Pemangsa dengan Fungsi Respon Beddington-DeAngelis Hanifah, Aisyiah Kholifatul; Abadi, Abadi
Jambura Journal of Mathematics Vol 6, No 1: February 2024
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v6i1.24288

Abstract

Several species in the world have experienced extinction. To save species from extinction, a system needs to be formulated, one of which is protecting prey. Changes in physical and biological processes also have a role in the environment, namely resulting in dynamically changing carrying capacity. The rate of prey consumption by the average predator, i.e. the response function is also important in the system formulation. In this study, a prey-predator system was constructed with a Beddington-DeAngelis response function that considers prey protection and variable carrying capacity as well as a predation process that takes into account the predator population. In this research, the equilibrium point for prey-predator extinction, predator extinction, and coexistence was determined and then continued to analyze its stability. With a large prey protection value, the predator extinction equilibrium point is asymptotically stable and the coexistence equilibrium point is asymptotically stable, if and only if within a certain range of prey protection parameter values. In addition, simulations were carried out and it was concluded that at certain prey protection values, changes occurred in the stability of the system which depended on the limits of its carrying capacity.
Lapisan Pemahaman Dan Folding Back Siswa Dalam Menyelesaikan Masalah Matematika Ditinjau Dari Adversity Quotient Sari, Aviv Puji Indah; Abadi, Abadi; Wintarti, Atik
EDUKASIA Jurnal Pendidikan dan Pembelajaran Vol. 4 No. 2 (2023): Edukasia: Jurnal Pendidikan dan Pembelajaran
Publisher : LP. Ma'arif Janggan Magetan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62775/edukasia.v4i2.590

Abstract

This study aimed to provide a comprehensive detail of comprehension development within the Pirie-Kieren layers of understanding and the process of students folding students in resolving issues related to a two-variable linear equation system, focusing on the concept of adversity quotient. The research employed a qualitative descriptive approach. The data was collected on 36 students from class VIII-B at State Senior High School 2 of Taman. Within this sample, 6 students were selected, comprising of 2 students classified as having a high adversity quotient (referred to as “climber”), 2 students with a moderate adversity quotient (referred to as “camper”), and 2 students with a low adversity quotient (referred to as “quitter”). The study used problem-solving tests and interviews as data-gathering techniques, followed by data analysis techniques outlined by Miles, Huberman, and Saldana. The findings of this study indicated that the climber students demonstrated proficiency across all eight layers of understanding, as proposed by Pirie and Kieren. Climber students exhibited the process of folding back, which involved retrieving previously learned information to effectively address the current challenge without deviating from the relevant subject matter. On the other hand, camper students could attain a level of comprehension that extends to the structuring layer, albeit with a limitation in terms of the maximum attainable layer. However, it is essential to note that not all indicators of layer understanding may be attained flawlessly by camper students. Camper students underwent a process of folding back, delving into deeper layers, and gathering additional information to ensure the accuracy of their work. Quitter students could attain the image-making layer because they use inappropriate methods. However, suppose they employ a trial and error; the resultant value must satisfy two equations. Camper students experienced folding back, delving into more profound layers, and gathering deeper layers to ensure their work's accuracy.
Beliefs, Actual Practices, and Perceptions on the Implementation of 4C Skills Integrated STEM Curriculum in Online Mathematics and Science Learning Abadi, Abadi; Rahayu, Yuni Sri; Susantini, Endang; Wijayanti, Pradnyo; Hidayah, Rusly
Jurnal Pendidikan MIPA Vol 23, No 4 (2022): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

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Abstract

This study tried to find out about beliefs, actual practices, and perceptions of educators and students of the Faculty of Mathematics and Natural Science, Universitas Negeri Surabaya, Indonesia on online education they experienced. The study focused on 4C skills being embedded in STEM curriculum implemented to some courses. The samples were 17 courses including corresponding educators and students who enrolled the courses. Data were collected by observing activities in LMS and synchronous web meeting and by giving questionnaires to the educators and the students. The results informed that educators and students were able to adjust and adapt to online learning with some shortcomings. Educators’ belief that good online courses with 4C skills-integrated STEM curriculum is possible to conduct with some refinements. Students were able to follow courses which include 4C skills with the context of basic STEM knowledge. However, they did not prefer the use of LMS in their learning.Keywords: 4C skills, STEM, online education, mathematics and scienceDOI: http://dx.doi.org/10.23960/jpmipa/v23i4.pp1751-1758
A Mathematical Approach in Ship Navigation: The Integration of Trigonometry and Spherical Triangles in STEM Contexts Sriantini, Ari; Abadi, Abadi
Jurnal Pendidikan MIPA Vol 25, No 2 (2024): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

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Abstract

Trigonometry and spherical triangles are branches of mathematics that are very relevant to ship navigation. Application of the concept and formula of trigonometry and spherical triangles to the positioning of ships by observing celestial bodies. Determining the true position of the ship in the sea is very important to be done so that the ship is always on the right course and avoids navigation hazards. This research aims to explore the important role of trigonometry and spherical triangles in ship navigation, as well as how learning approaches in STEM contexts can improve students' understanding and skills in determining the position of ships at sea. This research is qualitative and uses a case study approach. This study involves a real-case analysis of the application of trigonometry and spherical triangles in ship navigation to see their impact on the accuracy of ship positioning. The data collection techniques used in this research are interviews, observations, and documentation. The instruments used were validated by mathematics lecturers and astronomy navigation science lecturers. The results of the study show that trigonometry and spherical triangles have an important role in determining the position of ships at sea; STEM learning with a PBL approach has proven to be effective in improving students' understanding and skills in the application of trigonometry and spherical triangles in ship navigation. STEM learning in the context of trigonometry and spherical triangles contributes significantly to students' understanding of ship navigation and develops students' critical thinking skills.         Keywords: STEM, trigonometry, spherical triangle, problem base learning, ship navigation. DOI: http://dx.doi.org/10.23960/jpmipa/v25i2.pp1012-1021
REPRESENTASI PIKTORIAL TUNANETRA TIDAK SEJAK LAHIR BERDASARKAN MODEL PEMROSESAN INFORMASI: Pictorial Representation Of Blind People Not From Birth Based On Information Processing Model Mutmainah, Siti; Siswono, Tatag Yuli Eko; Abadi, Abadi
Aksioma Vol. 13 No. 1 (2024): AKSIOMA
Publisher : Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/aksioma.v13i1.4356

Abstract

This study used a 14-year-old male student whose criteria were not to be blind from birth without any other defects. A hard blow to the head back is caused the student's disability. Pupils with disabilities no longer attend regular primary school from IV class onwards. This study aims to determine the process of pictorial representation of right triangles based on information processing models. This type of research is descriptive and explorative with a qualitative approach. This study uses the main instrument and the supporting instruments. Here, students are asked to perform mathematic assignments and then interviewed, and all activities performed are analyzed using observation sheets. Data analysis was performed with three activities: data condensation, data presentation, and conclusion and verification. The results of the study show that blind students can make pictorial representations. Creating images can be seen in students' activities in completing mathematical assignments. Information or external stimuli enter the sensory register through the senses of hearing and touch, after which attention and perception arise. Perception by retrieving the necessary concepts from long-term memory. When retrieving process, students experience moments of forgetting, and then they repeat the parts of a right-angled triangle until they finally have a correct right-angled triangle.
Co-Authors , APRILINA Abdul Latif Mahfuz Agustina, Windi Ariansyah, Dedek Atik Wintarti, Atik B. R., Endah Budi Priyo Prawoto Dewi, Mifta Kharisma Dhany Fachrudin, Achmad DIAN SAVITRI EKAWATI NINGRUM, RETNO Endang Susantini Fachry Abda El Rahman Fujii, Hiroki Ginting, Rossiana Br Hanifah, Aisyiah Kholifatul Haries, Elena M. D. P. Hariyono, Eko I Ketut Budayasa Kusrini LAUNY PUTRI SINULA, AWAL Liliasari , Manuharawati MASRIYAH Musdiani Musdiani PATMA SARI, SHINTA Pradana, Raditya Bagus Gilang Pradnyo Wijayanti Pramanda, Heru Putri, Laras Kinanti Rambat Nur Sasongko Riza Oktariana ROSELLIA, FANIA RUDIANTO ARTIONO, RUDIANTO Rusly Hidayah Sari, Aviv Puji Indah Satria Prayudi Siti Saadah Sriantini, Ari TAMBUNAN, ADELINA Tatag Yuli Eko Siswono Wahana, Nadhilah Putri Wijaya, Agus Fani Candra YUNI SRI RAHAYU Yusuf, Hambali