This study aims to determine the annual joint life premium for millennial couples, based on three categories (age), namely 1) the husband is older than the wife, 2) the husband and wife are the same age and 3) the husband is younger than the wife. This type of research is quantitative research by applying data from married couples at Tamansiswa University, Padang. The study population was a husband/wife pair of Tamansiswa University employees in Padang with the sample chosen being a 1 year age difference in the age of the millennial couple. The application of the joint life insurance model is applied to endowment life insurance. The dual-purpose life insurance model is the insurance that is most in demand in Indonesia because in addition to compensation being paid if the participant dies within n years, participants also receive compensation if they are still alive after n years have ended. The results of the study show that the smaller the age of the millennial spouse, the smaller the annual premium will be with a difference in the age of the millennial couple of 1 year.
{"title":"PENENTUAN PREMI POLIS ASURANSI JIWA DWIGUNA DENGAN KASUS JOINT LIFE PADA GENERASI MILENIAL","authors":"Silvia Rosita, Yulia Rahmawati.Z","doi":"10.15548/mej.v7i1.5853","DOIUrl":"https://doi.org/10.15548/mej.v7i1.5853","url":null,"abstract":"This study aims to determine the annual joint life premium for millennial couples, based on three categories (age), namely 1) the husband is older than the wife, 2) the husband and wife are the same age and 3) the husband is younger than the wife. This type of research is quantitative research by applying data from married couples at Tamansiswa University, Padang. The study population was a husband/wife pair of Tamansiswa University employees in Padang with the sample chosen being a 1 year age difference in the age of the millennial couple. The application of the joint life insurance model is applied to endowment life insurance. The dual-purpose life insurance model is the insurance that is most in demand in Indonesia because in addition to compensation being paid if the participant dies within n years, participants also receive compensation if they are still alive after n years have ended. The results of the study show that the smaller the age of the millennial spouse, the smaller the annual premium will be with a difference in the age of the millennial couple of 1 year.","PeriodicalId":231880,"journal":{"name":"Math Educa Journal","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123426375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. Wulandari, Isnaeni Maryam, Prasetyo Budi Darmono.
This study aims to find out whether the blended learning model with the help of learning videos is better than the blended learning model with the help of whatsapp groups on the mathematics learning achievement of class XI MA Ma'arif NU Kaliangkrik students in the 2021/2022 academic year. This research is an experimental research using the posttest only control group design with data collection in this study using the cluster random sampling technique. The subjects of this study were grade 11 students of MA Ma'arif NU Kalingkrik who were taken from 2 classes. Data was collected using a mathematics learning achievement test that had been tested and met the reliability and validity requirements, then analyzed using the normality test, homogeneity test and hypothesis testing. The hypothesis test used is the t-test. Based on the results of the study, it can be concluded that the blended learning model assisted by learning videos is better than the WhatsApp group assisted learning model for students' mathematics learning achievement.
本研究是一项采用后测纯对照组设计的实验研究，本研究的数据收集采用整群随机抽样技术。本研究的对象为MA MA 'arif NU Kalingkrik的11年级学生，他们来自两个班。数据采集采用数学学习成就测验，经检验并满足信度和效度要求后，采用正态性检验、齐性检验和假设检验进行分析。使用的假设检验是t检验。根据研究结果，可以得出结论，在学生数学学习成果方面，学习视频辅助的混合学习模式优于WhatsApp群组辅助学习模式。
{"title":"EKSPERIMENTASI MODEL BLENDED LEARNING BERBANTUAN VIDEO PEMBELAJARAN DENGAN MEDIA WHATSAPP GROUP TERHADAP PRESTASI BELAJAR MATEMATIKA SISWA","authors":"A. Wulandari, Isnaeni Maryam, Prasetyo Budi Darmono.","doi":"10.15548/mej.v7i1.5842","DOIUrl":"https://doi.org/10.15548/mej.v7i1.5842","url":null,"abstract":"This study aims to find out whether the blended learning model with the help of learning videos is better than the blended learning model with the help of whatsapp groups on the mathematics learning achievement of class XI MA Ma'arif NU Kaliangkrik students in the 2021/2022 academic year. This research is an experimental research using the posttest only control group design with data collection in this study using the cluster random sampling technique. The subjects of this study were grade 11 students of MA Ma'arif NU Kalingkrik who were taken from 2 classes. Data was collected using a mathematics learning achievement test that had been tested and met the reliability and validity requirements, then analyzed using the normality test, homogeneity test and hypothesis testing. The hypothesis test used is the t-test. Based on the results of the study, it can be concluded that the blended learning model assisted by learning videos is better than the WhatsApp group assisted learning model for students' mathematics learning achievement.","PeriodicalId":231880,"journal":{"name":"Math Educa Journal","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117205959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The purpose of the research is to produce Student Worksheet based on Contextual Teaching and Learning (CTL) on the coordinate system material that meets the valid, practical, and effective criteria. This type of research is the research and development of Research and Development (R&D) with the ADDIE model proposed by Dick and Carry (1998), which consists of five stages of development namely Analysis, Design, Develop, Implementation, and Evaluation. The subjects in this study were 3 educators and 12 students of class VIII of SMPN 8 Payakumbuh. Data analysis technique was done by analyzing the validity and practicality assessment sheets of the use of CTL-based LKPD. The results showed that the use of CTL-based LKPD developed obtained an average score of 84.66% which included very valid criteria. Furthermore, based on the practicality test showed that the revised CTL-based LKPD received an average score of 86.88% which was included in the very practical criteria. Finally, based on the effectiveness test showed that the CTL-based LKPD that was developed to improve students' problem solving abilities based on the acquisition of the average value of the problem solving ability test which was 86, 25% above the KKM. It was concluded that CTL-based LKPD in mathematics learning on the coordinate system material developed had fulfilled valid, practical, and effective criteria.
本研究的目的是在符合有效、实用和有效标准的坐标系材料上，制作基于情境教学(CTL)的学生工作表。这类研究是采用Dick and Carry(1998)提出的ADDIE模型的研究与开发(R&D)的研究与开发，它包括五个开发阶段，即分析、设计、开发、实施和评估。本研究以3名教育工作者和12名八班学生为研究对象。通过分析基于ctl的LKPD使用的有效性和实用性评估表，进行数据分析技术。结果表明，使用基于ctl的LKPD，平均得分为84.66%，其中包括非常有效的标准。此外，基于实用性测试表明，修订后的基于ctl的LKPD平均得分为86.88%，属于非常实用的标准。最后，基于有效性检验的结果表明，基于汉语教学的LKPD在提高学生问题解决能力的习得基础上获得的问题解决能力测试平均值为86，高于KKM的25%。结果表明，基于ctl的LKPD在坐标系材料的数学学习中达到了有效、实用和有效的标准。
{"title":"PENGEMBANGAN PERANGKAT AJAR BERBASIS CTL PADA MATERI SISTEM KOORDINAT UNTUK MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH KELAS VIII","authors":"Tuti Azizah, Nana Sepriyanti, Rivdya Eliza","doi":"10.15548/mej.v7i1.5843","DOIUrl":"https://doi.org/10.15548/mej.v7i1.5843","url":null,"abstract":"The purpose of the research is to produce Student Worksheet based on Contextual Teaching and Learning (CTL) on the coordinate system material that meets the valid, practical, and effective criteria. This type of research is the research and development of Research and Development (R&D) with the ADDIE model proposed by Dick and Carry (1998), which consists of five stages of development namely Analysis, Design, Develop, Implementation, and Evaluation. The subjects in this study were 3 educators and 12 students of class VIII of SMPN 8 Payakumbuh. Data analysis technique was done by analyzing the validity and practicality assessment sheets of the use of CTL-based LKPD. The results showed that the use of CTL-based LKPD developed obtained an average score of 84.66% which included very valid criteria. Furthermore, based on the practicality test showed that the revised CTL-based LKPD received an average score of 86.88% which was included in the very practical criteria. Finally, based on the effectiveness test showed that the CTL-based LKPD that was developed to improve students' problem solving abilities based on the acquisition of the average value of the problem solving ability test which was 86, 25% above the KKM. It was concluded that CTL-based LKPD in mathematics learning on the coordinate system material developed had fulfilled valid, practical, and effective criteria.","PeriodicalId":231880,"journal":{"name":"Math Educa Journal","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132594066","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This study aims to see whether there is a relationship between the Grade Point Average (GPA) and length of study to comprehensive exam scores. This research is descriptive quantitative research. The population of this research is graduated students of the mathematics education study program at IAIN Bukittinggi for the last 4 years; students who have graduated in 2018, 2019, 2020, 2021, consisting of 353 people. The sample was 15% of 353 people (53 people). The data analysis technique was statistical analysis in which the step started by firstly carrying out the prerequisite analysis test. Next, the hypothesis test is carried out. The results showed that the results of the first correlation test that had been carried out had a relationship between the Grade Point Average and the student's comprehensive score. From data analysis through correlation analysis, it obtained 0.318 with a coefficient of determination of 10.112%. It means that there is a relationship between the Grade Point Average and the student's comprehensive score. This shows that the relationship between GPA and the compressive score is positive even though it is weak. The second correlation test which was carried out did not show any relationship between the length of study and the student's comprehensive score. From the analysis of the data through correlation analysis, it was obtained -0.278 which indicated that the relationship between the length of study and the compression value had a negative score and had weak relationship strength. Based on the third hypothesis test that has been carried out there is no relationship between the Grade Point Average (GPA) and the length of study with the student's comprehensive score.
{"title":"HUBUNGAN INDEKS PRESTASI KOMULATIF (IPK) DAN LAMA STUDI TERHADAP NILAI UJIAN KOMPREHENSIF MAHASISWA PROGRAM STUDI PENDIDIKAN MATEMATIKA","authors":"Tasnim Rahmat, G. Medika","doi":"10.15548/mej.v7i1.5720","DOIUrl":"https://doi.org/10.15548/mej.v7i1.5720","url":null,"abstract":"This study aims to see whether there is a relationship between the Grade Point Average (GPA) and length of study to comprehensive exam scores. This research is descriptive quantitative research. The population of this research is graduated students of the mathematics education study program at IAIN Bukittinggi for the last 4 years; students who have graduated in 2018, 2019, 2020, 2021, consisting of 353 people. The sample was 15% of 353 people (53 people). The data analysis technique was statistical analysis in which the step started by firstly carrying out the prerequisite analysis test. Next, the hypothesis test is carried out. The results showed that the results of the first correlation test that had been carried out had a relationship between the Grade Point Average and the student's comprehensive score. From data analysis through correlation analysis, it obtained 0.318 with a coefficient of determination of 10.112%. It means that there is a relationship between the Grade Point Average and the student's comprehensive score. This shows that the relationship between GPA and the compressive score is positive even though it is weak. The second correlation test which was carried out did not show any relationship between the length of study and the student's comprehensive score. From the analysis of the data through correlation analysis, it was obtained -0.278 which indicated that the relationship between the length of study and the compression value had a negative score and had weak relationship strength. Based on the third hypothesis test that has been carried out there is no relationship between the Grade Point Average (GPA) and the length of study with the student's comprehensive score.","PeriodicalId":231880,"journal":{"name":"Math Educa Journal","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115124451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ainil Hafizhi Nasution, Fibri Rakhmawati, Rima Aprilia
Many factors can cause poverty such as low income, health, education and the powerlessness or inability of certain people to be able to participate in development in their country. Education is one of the most influential aspects, especially for the development of human resources. Poverty can also be measured by the ability of the community to meet their basic needs or needs in the form of food and non-food. This study aims to determine how big the impact or influence of each independent variable on the dependent variable using panel data regression method consisting of cross section and time series. The panel data regression method with a fixed effect approach to the individual effects model has a result of R2 of 99,63% where the per capita expenditure variables for basic needs and school dropout rates are factors that have a significant effect on poverty in North Sumatra Province and the p-value results from the partial test (t-test) expeniture per capita for basic needs is 4,841 > 1,984 and the dropout rate is 3,733 > 1,984.
{"title":"ANALISIS PENGARUH PENGELUARAN PERKAPITA KEBUTUHAN DASAR DAN PENDIDIKAN TERHADAP KEMISKINAN DI PROVINSI SUMATERA UTARA","authors":"Ainil Hafizhi Nasution, Fibri Rakhmawati, Rima Aprilia","doi":"10.15548/mej.v7i1.4344","DOIUrl":"https://doi.org/10.15548/mej.v7i1.4344","url":null,"abstract":"Many factors can cause poverty such as low income, health, education and the powerlessness or inability of certain people to be able to participate in development in their country. Education is one of the most influential aspects, especially for the development of human resources. Poverty can also be measured by the ability of the community to meet their basic needs or needs in the form of food and non-food. This study aims to determine how big the impact or influence of each independent variable on the dependent variable using panel data regression method consisting of cross section and time series. The panel data regression method with a fixed effect approach to the individual effects model has a result of R2 of 99,63% where the per capita expenditure variables for basic needs and school dropout rates are factors that have a significant effect on poverty in North Sumatra Province and the p-value results from the partial test (t-test) expeniture per capita for basic needs is 4,841 > 1,984 and the dropout rate is 3,733 > 1,984.","PeriodicalId":231880,"journal":{"name":"Math Educa Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130555764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper the number of humans infected with cholera was controlled under the uncertainty in cholera model parameters. The aim of this research is to design an adaptive control so that the number of infected humans decreases. To achieve this goal, an adaptive controller was proposed to a deterministic model for the transmission of cholera involving five state variables (susceptible humans, infected humans, quarantined humans, recovered humans, and bacterial concentration) and one input control variable, i.e, the proportion of quarantined humans. A control law was designed such that the number of infected humans was decreased tracking the given reference function. The tracking error convergence were analyzed by employing the Lyapunov theorem. The performance of the proposed controller was evaluated through numerical simulations. The results show that the adaptive controller designed to the model ensures the tracking error convergence such that the number of infected humans has declined.
{"title":"KONTROL ADAPTIF PADA MODEL PENYEBARAN KOLERA DENGAN ADANYA KETIDAKPASTIAN PARAMETER","authors":"Regina Wahyudyah Sonata Ayu, H. Aulia","doi":"10.15548/mej.v5i2.2546","DOIUrl":"https://doi.org/10.15548/mej.v5i2.2546","url":null,"abstract":"In this paper the number of humans infected with cholera was controlled under the uncertainty in cholera model parameters. The aim of this research is to design an adaptive control so that the number of infected humans decreases. To achieve this goal, an adaptive controller was proposed to a deterministic model for the transmission of cholera involving five state variables (susceptible humans, infected humans, quarantined humans, recovered humans, and bacterial concentration) and one input control variable, i.e, the proportion of quarantined humans. A control law was designed such that the number of infected humans was decreased tracking the given reference function. The tracking error convergence were analyzed by employing the Lyapunov theorem. The performance of the proposed controller was evaluated through numerical simulations. The results show that the adaptive controller designed to the model ensures the tracking error convergence such that the number of infected humans has declined.","PeriodicalId":231880,"journal":{"name":"Math Educa Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130050377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Rahmawati Rahmawati, N. Nurjannah, Ade Novia Rahma, Zukrianto Zukrianto
The price of gold and the inflation rate are some of the right indicators to analyze the development of sharia rahn mortgage financing distribution. This study aims to determine the amount of rahn financing distribution based on the average gold price of pawnshops and Indonesia's inflation rate in 2018-2019. In this study, Sugeno's fuzzy inference system (FIS) method was used to determine the amount of Rahn's financing distribution. The steps used in the FIS Sugeno method are the formation of fuzzy sets, application of implication and affirmation functions (defuzzification). Based on the FIS Sugeno method, the results of the calculation of the total distribution of rahn financing of PT. Pegadaian (Persero) Branch Syariah Subrantas Pekanbaru in January 2018 was obtained at 252.642.105 with an accuracy value of 89.44%.
{"title":"PENERAPAN FUZZY INFERENCE SYSTEM SUGENO DALAM MENENTUKAN PENYALURAN PEMBIAYAAN RAHN","authors":"Rahmawati Rahmawati, N. Nurjannah, Ade Novia Rahma, Zukrianto Zukrianto","doi":"10.15548/mej.v5i2.2547","DOIUrl":"https://doi.org/10.15548/mej.v5i2.2547","url":null,"abstract":"The price of gold and the inflation rate are some of the right indicators to analyze the development of sharia rahn mortgage financing distribution. This study aims to determine the amount of rahn financing distribution based on the average gold price of pawnshops and Indonesia's inflation rate in 2018-2019. In this study, Sugeno's fuzzy inference system (FIS) method was used to determine the amount of Rahn's financing distribution. The steps used in the FIS Sugeno method are the formation of fuzzy sets, application of implication and affirmation functions (defuzzification). Based on the FIS Sugeno method, the results of the calculation of the total distribution of rahn financing of PT. Pegadaian (Persero) Branch Syariah Subrantas Pekanbaru in January 2018 was obtained at 252.642.105 with an accuracy value of 89.44%.","PeriodicalId":231880,"journal":{"name":"Math Educa Journal","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130478599","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Maria Martini Aba, Nia Kurniaty Rukman, A. Fatmawati
The Ministry of Education and Culture (2016) states that one of the learning objectives in the 2013 curriculum is to develop creative activities that involve imagination, intuition, and discovery by developing divergent, original thinking, curiosity, making predictions and guesses, and experimenting. The fact that the creative thinking ability of Indonesian students is still low is shown in the results of the Program for International Student Assessment (PISA) in mathematical ability, placing Indonesia at 62 out of 70 countries (OECD, 2016). The provision of problem-posing model questions is expected to stimulate students to think creatively by generating new ideas or ideas to develop existing information and finally students begin to propose new problems according to their understanding of the mathematical concepts being studied. The purpose of this study was to describe students' mathematical creative thinking ability seen from the indicators of creative thinking abilities, namely fluency, flexibility and novelty in solving problem posing question. The research method used is a survey method with the research subject being class VIIIG SMPN 1 Malang. The results obtained, the average score of the fluency indicator is 14.81 or 87.10% in the high category, the average score of the flexibility indicator is 4.64 or 51.61% in the low category, and the novelty indicator is 1.16 or 6, 45% with low category. This shows that the creative thinking ability of students in solving problem-posing questions is low.
{"title":"KEMAMPUAN BERPIKIR KREATIF MATEMATIS SISWA SMP DALAM MENYELESAIKAN SOAL PROBLEM POSING","authors":"Maria Martini Aba, Nia Kurniaty Rukman, A. Fatmawati","doi":"10.15548/mej.v5i2.3056","DOIUrl":"https://doi.org/10.15548/mej.v5i2.3056","url":null,"abstract":"The Ministry of Education and Culture (2016) states that one of the learning objectives in the 2013 curriculum is to develop creative activities that involve imagination, intuition, and discovery by developing divergent, original thinking, curiosity, making predictions and guesses, and experimenting. The fact that the creative thinking ability of Indonesian students is still low is shown in the results of the Program for International Student Assessment (PISA) in mathematical ability, placing Indonesia at 62 out of 70 countries (OECD, 2016). The provision of problem-posing model questions is expected to stimulate students to think creatively by generating new ideas or ideas to develop existing information and finally students begin to propose new problems according to their understanding of the mathematical concepts being studied. The purpose of this study was to describe students' mathematical creative thinking ability seen from the indicators of creative thinking abilities, namely fluency, flexibility and novelty in solving problem posing question. The research method used is a survey method with the research subject being class VIIIG SMPN 1 Malang. The results obtained, the average score of the fluency indicator is 14.81 or 87.10% in the high category, the average score of the flexibility indicator is 4.64 or 51.61% in the low category, and the novelty indicator is 1.16 or 6, 45% with low category. This shows that the creative thinking ability of students in solving problem-posing questions is low.","PeriodicalId":231880,"journal":{"name":"Math Educa Journal","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121312996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This research discusses the mathematical of Tuberculosis disease with reinfection, where there are individuals who are reinfected after undergoing treatment and are declared recover. The mathematical model used is the SEIRE model which is then searched for the equilibrium point, the basic reproduction number ( ), the stability of the equilibrium point and searched the parameter that most influences the increase in the basic reproduction number so that it is emphasized to reduce the transmission of Tuberculosis. The results showed that the SEIRE model is a mathematical model have two equilibrium points (desease free equilibrium and desease endemic equilibrium where both equilibrium poits are locallyn stable in a constant population based on the value of each parameter used. In the SEIRE model, there are four parameters that affect the basic reproduction number, so that must be suppressed to reduce their transmission. The four parameters are transmission rate ( ), infection rate ( ), infection rate ( ), and reinfection rate ( ).
{"title":"ANALISIS SENSITIVITAS PENYEBARAN PENYAKIT TUBERKULOSIS DENGAN REINFEKSI","authors":"Dian Grace Ludji","doi":"10.15548/mej.v5i2.2551","DOIUrl":"https://doi.org/10.15548/mej.v5i2.2551","url":null,"abstract":"This research discusses the mathematical of Tuberculosis disease with reinfection, where there are individuals who are reinfected after undergoing treatment and are declared recover. The mathematical model used is the SEIRE model which is then searched for the equilibrium point, the basic reproduction number ( ), the stability of the equilibrium point and searched the parameter that most influences the increase in the basic reproduction number so that it is emphasized to reduce the transmission of Tuberculosis. The results showed that the SEIRE model is a mathematical model have two equilibrium points (desease free equilibrium and desease endemic equilibrium where both equilibrium poits are locallyn stable in a constant population based on the value of each parameter used. In the SEIRE model, there are four parameters that affect the basic reproduction number, so that must be suppressed to reduce their transmission. The four parameters are transmission rate ( ), infection rate ( ), infection rate ( ), and reinfection rate ( ).","PeriodicalId":231880,"journal":{"name":"Math Educa Journal","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128606027","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This study aims to determine the mathematical concepts applied to Javanese gamelan musical instruments. The type of research used in this research is qualitative research with an ethnographic approach, namely describing Javanese gamelan musical instruments as a medium for learning Mathematics. Data obtained through interviews, observation, and documentation. The instrument in this study consisted of the main instrument, namely the researcher himself and auxiliary instruments in the form of interview guidelines, observation sheets, and documentation tools. The data validity technique used is method triangulation and source triangulation. The results of this study indicate that there are mathematical concepts that are applied to Javanese gamelan musical instruments such as one-dimensional geometry, namely the concept of lines, parallel lines and right angles, two-dimensional geometry, namely square, rectangle, circle, trapezoid, and triangle. three in the form of a tube, a sphere, and a truncated cone. With the existence of mathematical concepts in Javanese gamelan musical instruments, it is very possible for mathematics learning media to be designed using Javanese gamelan ethnomathematics so that mathematics contributes to the preservation of the nation's culture.
{"title":"ETNOMATEMATIKA PADA ALAT MUSIK GAMELAN JAWA","authors":"Supriyono Supriyono, Agil Faisal Saputra, Wharyanti Ika Purwaningsih","doi":"10.15548/MEJ.V5I2.2763","DOIUrl":"https://doi.org/10.15548/MEJ.V5I2.2763","url":null,"abstract":"This study aims to determine the mathematical concepts applied to Javanese gamelan musical instruments. The type of research used in this research is qualitative research with an ethnographic approach, namely describing Javanese gamelan musical instruments as a medium for learning Mathematics. Data obtained through interviews, observation, and documentation. The instrument in this study consisted of the main instrument, namely the researcher himself and auxiliary instruments in the form of interview guidelines, observation sheets, and documentation tools. The data validity technique used is method triangulation and source triangulation. The results of this study indicate that there are mathematical concepts that are applied to Javanese gamelan musical instruments such as one-dimensional geometry, namely the concept of lines, parallel lines and right angles, two-dimensional geometry, namely square, rectangle, circle, trapezoid, and triangle. three in the form of a tube, a sphere, and a truncated cone. With the existence of mathematical concepts in Javanese gamelan musical instruments, it is very possible for mathematics learning media to be designed using Javanese gamelan ethnomathematics so that mathematics contributes to the preservation of the nation's culture.","PeriodicalId":231880,"journal":{"name":"Math Educa Journal","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130841259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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