Bulletin of Applied Mathematics and Mathematics Education
BAMME welcomes high-quality manuscripts resulted from a research project in the scope of applied mathematics and mathematics education, which includes, but is not limited to the following topics: Analysis and applied analysis, algebra and applied algebra, logic, geometry, differential equations, dynamical system, fuzzy system, etc. Graph theory, combinatorics, number theory, coding theory, cryptography, etc. Mathematical modeling in economics, physics, biology, medicine, engineering, control theory and automation, optimization, operational research, neural network, data science, machine learning, etc. Applied statistics and probability, finance mathematics, biostatistics, actuary, etc. RME-based mathematics education. Development studies in mathematics education. Mathematics Ability, includes the following abilities: reasoning, connection, communication, representation, and problem solving. Ethnomathematics, the results of research on the relationship between mathematics and culture practiced by members of cultural groups who share experiences and practices similar to mathematics that can be in a unique form. Application of ICT in mathematical learning and the design, development, and evaluation of the implementation or application of learning media.
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<![CDATA[Applying negative binomial regression analysis to overcome the overdispersion of Poisson regression model for malnutrition cases in Indonesia ]]>
<![CDATA[Setyawan, Yudi]]>;
<![CDATA[Suryowati, Kris]]>;
<![CDATA[Octaviana, Dita]]>
<![CDATA[ Bulletin of Applied Mathematics and Mathematics Education Vol. 2 No. 2 (2022) ]]>
Publisher : <![CDATA[Universitas Ahmad Dahlan ]]>
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DOI: 10.12928/bamme.v2i2.4948
<![CDATA[Indonesia is one of the developing countries that is struggling to eradicate malnutrition problem. Malnutrition that occurs over a long period of time can have an impact on deaths for the sufferers and decreasing human’s quality of life. This study aims to model the case of malnutrition that occurred in Indonesia Provinces during 2015, and get the main factors that cause malnutrition problem. Variables studied consists of Malnutrition (Y), Vitamin A consumption (X1), Exclusive breastfeeding (X2), Immunization (X3), Water quality (X4), Healthcare center (X5), and Poverty level (X6). Based on the Kolmogorov-Smirnov test, the results of malnutrition data in Indonesia Province in 2015 does not follow Poisson distribution because of overdispersion. The presence of overdispersion cases in the Poisson regression model will have an impact on the inappropriateness of inferences. An alternative model that can accomodate this case is negative binomial regression model. By using this model, factors that are considered influencing malnutrition cases in Indonesia provinces in 2015 are Immunization (X3), Water quality (X4), and Poverty level (X6). The best model obtained from negative binomial regression analysis is μ ̂_i=exp(2.5111-0.0338X_3+0.0295X_4+0.0576X_6).]]>
<![CDATA[Indonesian provincial clustering using Elbow method for the national food security during pandemic ]]>
<![CDATA[Trimanto, Rido]]>;
<![CDATA[Yustari, Eryka]]>;
<![CDATA[Nafisah, Zulfatin]]>;
<![CDATA[Carolina, Nona]]>;
<![CDATA[Irsalinda, Nursyiva]]>;
<![CDATA[Setyorini, Arifah Indah]]>
<![CDATA[ Bulletin of Applied Mathematics and Mathematics Education Vol. 2 No. 2 (2022) ]]>
Publisher : <![CDATA[Universitas Ahmad Dahlan ]]>
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DOI: 10.12928/bamme.v2i2.6166
<![CDATA[The Covid-19 pandemic had an impact on the joints of socio-economic life, especially in fulfilling the basic needs. It also caused the declining of global food security, especially in Indonesia. This study aims to develop regional mapping to determine food security priorities and to achieve equal distribution of food security throughout Indonesia. The research method used in this research is quantitative research with the Elbow method. The Elbow method is used to find the optimal cluster size. The data used are from the Food Security Agency of the Indonesian Ministry of Agriculture and Central Statistics Agency in a range of 2020 to 2021. In the process to identify priority areas in Indonesia, it is necessary to have provincial clustering. It is also necessary to minimize food budget allocations that are not well-targeted, causing losses, and not achieving an equal distribution of food security programs. Looking from a more visionary perspective, the success of clustering provides an opportunity for the government to focus more on allocating budget, resources, and time according to the results of the clustering. Based on the results of the provincial clustering, two clusters were obtained, namely provinces with high food security (Cluster 1) and low food security (Cluster 2). Cluster 1 has lower constituent components than Cluster 2.]]>
<![CDATA[Developing problem-based learning electronic student worksheet for number pattern topic ]]>
<![CDATA[Prasetyo, Puguh Wahyu]]>;
<![CDATA[Atsila, Khasna Salma]]>
<![CDATA[ Bulletin of Applied Mathematics and Mathematics Education Vol. 2 No. 2 (2022) ]]>
Publisher : <![CDATA[Universitas Ahmad Dahlan ]]>
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DOI: 10.12928/bamme.v2i2.6813
<![CDATA[The background of this research is the lack of technology-based learning materials, teachers, and students' need for the variety of new learning materials in SMP Negeri 1 Bantarkawung. This study aimed (1) to produce problem-based learning electronic student worksheets for number patterns and (2) to know the usefulness of problem-based learning electronic student worksheet for number patterns in terms of validity and practicality. It was the R&D (Research and Development) using ADDIE (Analyze, Design, Development, Implementation, and Evaluation) model. This research was conducted in class VIII A SMP Negeri 1 Bantarkawung involving six students in a small class trial and twenty-eight students in a big class trial. The research instruments were interview guidelines and questionnaires to material experts, media experts, and students' responses. The results showed that students' electronic worksheets were valid and practical. The evaluation by students' electronic worksheet material expert got 70,50, categorized as very valid. The review from media experts showed that Students' Electronic Worksheet got 68,50, which was classified as very valid. Meanwhile, the small class trial got 62,84, categorized as practical. Moreover, the big class trial got 65,39, and was classified as practical.]]>
<![CDATA[On Conformable, Riemann-Liouville, and Caputo fractional derivatives ]]>
<![CDATA[Guswanto, Bambang Hendriya]]>;
<![CDATA[Andini, Leony Rhesmafiski]]>;
<![CDATA[Triyani, Triyani]]>
<![CDATA[ Bulletin of Applied Mathematics and Mathematics Education Vol. 2 No. 2 (2022) ]]>
Publisher : <![CDATA[Universitas Ahmad Dahlan ]]>
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DOI: 10.12928/bamme.v2i2.7072
<![CDATA[This article compares conformable fractional Derivative with Riemann-Liouville and Caputo fractional derivative by comparing solutions to fractional ordinary differential equations involving the three fractional derivatives via the numerical simulations of the solutions. The result shows that conformable fractional derivative can be used as an alternative to Riemann-Liouville and Caputo fractional derivative for order α with 1/2<α<1.]]>
<![CDATA[Optimal control on education, vaccination, and treatment in the model of dengue hemorrhagic fever ]]>
<![CDATA[Haafidhoh, Eva Annisa]]>;
<![CDATA[Adi, Yudi Ari]]>;
<![CDATA[Irsalinda, Nursyiva]]>
<![CDATA[ Bulletin of Applied Mathematics and Mathematics Education Vol. 2 No. 2 (2022) ]]>
Publisher : <![CDATA[Universitas Ahmad Dahlan ]]>
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DOI: 10.12928/bamme.v2i2.7617
<![CDATA[Dengue hemorrhagic fever (DHF) is an infection caused by the dengue virus which is transmitted by the Aedes aegypti mosquito. In this paper, a model of the spread of dengue disease is developed using optimal control theory by dividing the population into Susceptible, Exposed, Infected, and Recovered (SEIR) sub-populations. The Pontryagin minimum principle of the fourth-order Runge-Kutta method is used in the model of the spread of dengue disease by incorporating control factors in the form of education and vaccination of susceptible human populations, as well as treatment of infected human populations. Optimum control aims to minimize the infected human population in order to reduce the spread of DHF. Simulations were carried out for two cases, namely when the basic reproduction number is less than one for disease-free conditions and greater than one for endemic conditions. Based on numerical simulations of the SEIR epidemic model with controls, it results that the optimal strategy is achieved if education controls, vaccinations, and medication are used.]]>
