Pub Date : 2021-05-11DOI: 10.2991/ASSEHR.K.210508.109
A. Palinussa, T. Dias, D. A. Ngilawajan
The purpose of this study is to compare two treatments, namely the realistic mathematics education approach (RME) and problem-based learning (PBL) towards students' mathematical problem-solving abilities. To obtain complete information about the comparison of the two models, we also used the non-treatment group as the control class. This research approach is quantitative using quasi-experimental methods. The design of this study is a nonequivalent comparison group design involving 243 students of SMA Negeri 14 Maluku, Indonesia, in the 2019/2020 academic year. The results showed that there were differences in students' problem abilities with the high, medium, and low Precondition Mathematics Abilities (PMA) categories. There is an interaction effect between RME, PBL, and conventional learning models with PMA on students' mathematical problem abilities.
本研究的目的是比较现实数学教育方法(RME)和基于问题的学习(PBL)两种方法对学生数学解决能力的影响。为了获得两种模型比较的完整信息，我们还将非治疗组作为对照类。本研究采用准实验方法进行定量研究。本研究采用非等效对照组设计，研究对象为2019/2020学年印尼马鲁古SMA Negeri 14 Maluku的243名学生。结果表明，学生的问题能力在高、中、低前提数学能力(PMA)类别上存在差异。RME、PBL和传统学习模式对学生的数学问题能力有交互作用。
{"title":"The Effect of Realistic Mathematics Education and Problem Based Learning Model on Mathematics Problem Solving Ability in Terms of Precondition Mathematics Abilities","authors":"A. Palinussa, T. Dias, D. A. Ngilawajan","doi":"10.2991/ASSEHR.K.210508.109","DOIUrl":"https://doi.org/10.2991/ASSEHR.K.210508.109","url":null,"abstract":"The purpose of this study is to compare two treatments, namely the realistic mathematics education approach (RME) and problem-based learning (PBL) towards students' mathematical problem-solving abilities. To obtain complete information about the comparison of the two models, we also used the non-treatment group as the control class. This research approach is quantitative using quasi-experimental methods. The design of this study is a nonequivalent comparison group design involving 243 students of SMA Negeri 14 Maluku, Indonesia, in the 2019/2020 academic year. The results showed that there were differences in students' problem abilities with the high, medium, and low Precondition Mathematics Abilities (PMA) categories. There is an interaction effect between RME, PBL, and conventional learning models with PMA on students' mathematical problem abilities.","PeriodicalId":251100,"journal":{"name":"Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129311116","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}
Pub Date : 2021-05-11DOI: 10.2991/ASSEHR.K.210508.083
A. M. Muftirridha, A. Alghofari, N. Hidayat
In this paper, we introduce the concept of left almost hyperring together with a partial relation order such that satisfies some conditions. This structure is called by ordered left almsot hyperring (LA-hyperring). Further, we study some useful contiditons for ordered LA-hyperring to become an ordered hyperring. Also, we notice the notion of hyperideal, bi-hyperideal, and quasi-hyperideal of ordered LA-hyperring and their properties are investigated.
{"title":"Ordered Left Almost Hyperring","authors":"A. M. Muftirridha, A. Alghofari, N. Hidayat","doi":"10.2991/ASSEHR.K.210508.083","DOIUrl":"https://doi.org/10.2991/ASSEHR.K.210508.083","url":null,"abstract":"In this paper, we introduce the concept of left almost hyperring together with a partial relation order such that satisfies some conditions. This structure is called by ordered left almsot hyperring (LA-hyperring). Further, we study some useful contiditons for ordered LA-hyperring to become an ordered hyperring. Also, we notice the notion of hyperideal, bi-hyperideal, and quasi-hyperideal of ordered LA-hyperring and their properties are investigated.","PeriodicalId":251100,"journal":{"name":"Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125561115","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}
Pub Date : 2021-05-11DOI: 10.2991/ASSEHR.K.210508.088
Sri Imelda Edo, Wahyuni Fanggi Tasik, Y. Kamlasi
Mathematics is an important subject for understanding almost every subject whether science and technology, medicine, the economy, or business and finance. Previous research shows that many agricultural students have deficient mathematical skills for their future profession after their education. They also indicated that there is often a weak link between mathematics teaching in vocational education and the labour market. Fisheries agribusiness students did not really seem to understand the importance of learning mathematics and they claimed that learning mathematics means doing with formula, memorize algorithm, calculate and manipulate without understanding. While several researchers found that students working with an integrated mathematics education have more motivation, they learn better, and understand and remember more, when it’s related to their reality. Therefore, this research aimed to see the effect of learning by doing in mathematics for students’ achievement and motivation. All of 47 first semester students in fisheries agribusiness study program participate in this research. Pretest-posttest experiment compiles with survey research was chosen as the research methods to reach the goal. Paired sample t-test showed Asymp. Sig. (2-tailed) = 0,057 (p > 0.05) means that learning mathematics by doing can improve students achievement. Moreover, 75% students have high motivation, 20% average motivation and 5% have low motivation.
{"title":"Learning by Doing in Mathematics Class of Fisheries Agribusiness Student in Agriculture Polytechnics Kupang","authors":"Sri Imelda Edo, Wahyuni Fanggi Tasik, Y. Kamlasi","doi":"10.2991/ASSEHR.K.210508.088","DOIUrl":"https://doi.org/10.2991/ASSEHR.K.210508.088","url":null,"abstract":"Mathematics is an important subject for understanding almost every subject whether science and technology, medicine, the economy, or business and finance. Previous research shows that many agricultural students have deficient mathematical skills for their future profession after their education. They also indicated that there is often a weak link between mathematics teaching in vocational education and the labour market. Fisheries agribusiness students did not really seem to understand the importance of learning mathematics and they claimed that learning mathematics means doing with formula, memorize algorithm, calculate and manipulate without understanding. While several researchers found that students working with an integrated mathematics education have more motivation, they learn better, and understand and remember more, when it’s related to their reality. Therefore, this research aimed to see the effect of learning by doing in mathematics for students’ achievement and motivation. All of 47 first semester students in fisheries agribusiness study program participate in this research. Pretest-posttest experiment compiles with survey research was chosen as the research methods to reach the goal. Paired sample t-test showed Asymp. Sig. (2-tailed) = 0,057 (p > 0.05) means that learning mathematics by doing can improve students achievement. Moreover, 75% students have high motivation, 20% average motivation and 5% have low motivation.","PeriodicalId":251100,"journal":{"name":"Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)","volume":"100 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115670203","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}
Pub Date : 2021-05-11DOI: 10.2991/ASSEHR.K.210508.043
K. Dirgantoro, R. Soesanto
During pandemic, learning has transitioned into online learning. This causes Universitas Pelita Harapan (UPH) students in Faculty of Education must be repatriated to their regions and undergo half semester of differential calculus learning in online mode. Therefore, it makes aspects of self-regulated learning (SRL) and motivation are important to be highlighted. Focus of this research is to see how SRL is formed as a result of learning transitions based on their motivations. The research samples use students from Mathematics, Physics, and Chemistry Education study programs who undergo an online learning transition. Likert scale questionnaires are used as instruments related to motivation and SRL. The research uses mixed methods approach which is analysed quantitatively and qualitatively. It shows that there is no difference in students’ SRL from Mathematics and non-Mathematics Education study programs based on their motivations and there is no interaction between the study program and motivation in determining SRL. Quantitative results are strengthened by descriptive qualitative exposure through indicator and open-ended questions analysis on SRL instrument. The conclusion shows that students in Mathematics and non-Mathematics Education, both from high and low motivation groups, feel the need to develop their SRL during difficult situations in interpreting differential calculus learning provided by lecturers.
{"title":"The Impact of Pandemic Dynamics in Differential Calculus Course: An Overview of Students’ Self-Regulated Learning Based on Motivation","authors":"K. Dirgantoro, R. Soesanto","doi":"10.2991/ASSEHR.K.210508.043","DOIUrl":"https://doi.org/10.2991/ASSEHR.K.210508.043","url":null,"abstract":"During pandemic, learning has transitioned into online learning. This causes Universitas Pelita Harapan (UPH) students in Faculty of Education must be repatriated to their regions and undergo half semester of differential calculus learning in online mode. Therefore, it makes aspects of self-regulated learning (SRL) and motivation are important to be highlighted. Focus of this research is to see how SRL is formed as a result of learning transitions based on their motivations. The research samples use students from Mathematics, Physics, and Chemistry Education study programs who undergo an online learning transition. Likert scale questionnaires are used as instruments related to motivation and SRL. The research uses mixed methods approach which is analysed quantitatively and qualitatively. It shows that there is no difference in students’ SRL from Mathematics and non-Mathematics Education study programs based on their motivations and there is no interaction between the study program and motivation in determining SRL. Quantitative results are strengthened by descriptive qualitative exposure through indicator and open-ended questions analysis on SRL instrument. The conclusion shows that students in Mathematics and non-Mathematics Education, both from high and low motivation groups, feel the need to develop their SRL during difficult situations in interpreting differential calculus learning provided by lecturers.","PeriodicalId":251100,"journal":{"name":"Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121163689","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}
Pub Date : 2021-05-11DOI: 10.2991/ASSEHR.K.210508.070
Annisa Martina
The global cases of COVID-19 pandemic extensively increase as in Indonesia as the first two confirmed (positive) cases were reported in 2nd of March 2020 and followed by the first mortality case in 9 days afterwards, 11th of March 2020. In latest situation, the last data collection by author in 5th of November 2020 14,348 died and 425,796 COVID-19 confirmed cases were recorded. Therefore, in this study the author will construct a Multivariate Markov-Chain Model to estimate the increase in COVID-19 patients for confirmed, recovered, and died cases. Multivariate Markov chain is popular model for forecasting by observing current state in various applications. This model is compatible with 3 data sequences (patient types) defined as recovered patient, confirmed, and died with 6 conditions (zero, least, less, fair, ample, and massive). As the result, this study shows transition probability matrix with 3x3 dimension where each element containing 6x6 conditions. The highest transition probability value for the increment of COVID-19 cases in Indonesia on March 11 to November 5, 2020, occurred in a transition from confirmed to confirmed patient with conditions from ample to ample, which had the highest probability value 0.8571 and the highest frequency 78 times.
{"title":"Analysis the Increment of COVID-19 Cases in Indonesia with One of Multivariate Markov Chain Model Parameter","authors":"Annisa Martina","doi":"10.2991/ASSEHR.K.210508.070","DOIUrl":"https://doi.org/10.2991/ASSEHR.K.210508.070","url":null,"abstract":"The global cases of COVID-19 pandemic extensively increase as in Indonesia as the first two confirmed (positive) cases were reported in 2nd of March 2020 and followed by the first mortality case in 9 days afterwards, 11th of March 2020. In latest situation, the last data collection by author in 5th of November 2020 14,348 died and 425,796 COVID-19 confirmed cases were recorded. Therefore, in this study the author will construct a Multivariate Markov-Chain Model to estimate the increase in COVID-19 patients for confirmed, recovered, and died cases. Multivariate Markov chain is popular model for forecasting by observing current state in various applications. This model is compatible with 3 data sequences (patient types) defined as recovered patient, confirmed, and died with 6 conditions (zero, least, less, fair, ample, and massive). As the result, this study shows transition probability matrix with 3x3 dimension where each element containing 6x6 conditions. The highest transition probability value for the increment of COVID-19 cases in Indonesia on March 11 to November 5, 2020, occurred in a transition from confirmed to confirmed patient with conditions from ample to ample, which had the highest probability value 0.8571 and the highest frequency 78 times.","PeriodicalId":251100,"journal":{"name":"Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131064549","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}
Pub Date : 2021-05-11DOI: 10.2991/ASSEHR.K.210508.050
Mia Siti Khumaeroh, A. Firdaus
Many countries in the world, especially Indonesia, are still experiencing an increase number of Covid-19 cases despite the government has implemented many policies, such as an appeal for self-prevention, physical distancing, quarantine and large-scale social restrictions (LSSR) in several areas. Besides the health sector, this change in behavior or activity also has a major impact on other sectors such as education, tourism, economy etc. Herd Immunity, where a group in the population is given a treatment so that their body will be resistant to the virus, becomes another alternative to end this Covid-19 pandemic. In this study, we analyzed a mathematical model of corona virus transmission by involving the herd immunity factor. There are two schemes: (1) by using vaccines and (2) by allowing the virus to spread in the population and the result is the infected population have the immunity. The simulation results show that the use of vaccines can drastically reduce the number of infected individuals. On the other hand, the absence of virus transmission control can increase the number of exposed and infected individuals. However, in terms of time, this scheme will make Covid-19 cases decrease faster than other schemes.
{"title":"Analysis of Herd Immunity on the Mathematical Model of Covid-19 Transmission","authors":"Mia Siti Khumaeroh, A. Firdaus","doi":"10.2991/ASSEHR.K.210508.050","DOIUrl":"https://doi.org/10.2991/ASSEHR.K.210508.050","url":null,"abstract":"Many countries in the world, especially Indonesia, are still experiencing an increase number of Covid-19 cases despite the government has implemented many policies, such as an appeal for self-prevention, physical distancing, quarantine and large-scale social restrictions (LSSR) in several areas. Besides the health sector, this change in behavior or activity also has a major impact on other sectors such as education, tourism, economy etc. Herd Immunity, where a group in the population is given a treatment so that their body will be resistant to the virus, becomes another alternative to end this Covid-19 pandemic. In this study, we analyzed a mathematical model of corona virus transmission by involving the herd immunity factor. There are two schemes: (1) by using vaccines and (2) by allowing the virus to spread in the population and the result is the infected population have the immunity. The simulation results show that the use of vaccines can drastically reduce the number of infected individuals. On the other hand, the absence of virus transmission control can increase the number of exposed and infected individuals. However, in terms of time, this scheme will make Covid-19 cases decrease faster than other schemes.","PeriodicalId":251100,"journal":{"name":"Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133224282","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}
Pub Date : 2021-05-11DOI: 10.2991/ASSEHR.K.210508.098
Muhtarulloh Fahrudin, Atia Nuraini
This paper discusses the optimal solution for specific types of optimization problems called fuzzy transportation problems using pentagonal fuzzy numbers. Cost value, supply, and the demand for fuzzy transport issues are taken as fuzzy numbers pentagonal. Pentagonal fuzzy numbers are converted to crisp values using functions recommended for new rankings. The purpose of this study is to compare new ranking methods with old rankings as well as Vogel’s Approximation Method (VAM) and Max Min Voge’l Approximation Method (MM-VAM) in finding optimal solutions to fuzzy transportation problems. From the results of the study, it was obtained that the new ranking method with VAM method gets the smallest transportation cost. Press Proceedings article template has many predefined paragraph styles for you to use/apply as you write your paper. To format your abstract, use the Microsoft Word template style: [Abstract]. Each paper must include an abstract. Begin the abstract with the title “Abstract” in bold font, followed by a paragraph with normal 10-point font. Do not cite references in the abstract. Please do not place or cite tables and figures in the abstract either.
本文用五边形模糊数讨论了模糊运输问题的最优解。将模糊运输问题的成本价值、供给和需求作为五边形模糊数。五角形模糊数字转换为清晰的值使用函数推荐新的排名。本研究的目的是比较新的排序方法和旧的排序方法，以及Vogel近似法(VAM)和Max - Min Voge 'l近似法(MM-VAM)在寻找模糊运输问题最优解方面的效果。研究结果表明，采用VAM方法的新排序方法的运输成本最小。Press Proceedings文章模板有许多预定义的段落样式供您在撰写论文时使用/应用。要格式化您的摘要，请使用Microsoft Word模板样式:[摘要]。每篇论文必须包括摘要。摘要以“摘要”开头，用粗体，然后用10号字体写一段话。不要在摘要中引用参考文献。请不要在摘要中放置或引用表格和数字。
{"title":"Performance Evaluation of New Ranking Function Methods with Current Ranking Functions Using VAM and MM-VAM","authors":"Muhtarulloh Fahrudin, Atia Nuraini","doi":"10.2991/ASSEHR.K.210508.098","DOIUrl":"https://doi.org/10.2991/ASSEHR.K.210508.098","url":null,"abstract":"This paper discusses the optimal solution for specific types of optimization problems called fuzzy transportation problems using pentagonal fuzzy numbers. Cost value, supply, and the demand for fuzzy transport issues are taken as fuzzy numbers pentagonal. Pentagonal fuzzy numbers are converted to crisp values using functions recommended for new rankings. The purpose of this study is to compare new ranking methods with old rankings as well as Vogel’s Approximation Method (VAM) and Max Min Voge’l Approximation Method (MM-VAM) in finding optimal solutions to fuzzy transportation problems. From the results of the study, it was obtained that the new ranking method with VAM method gets the smallest transportation cost. Press Proceedings article template has many predefined paragraph styles for you to use/apply as you write your paper. To format your abstract, use the Microsoft Word template style: [Abstract]. Each paper must include an abstract. Begin the abstract with the title “Abstract” in bold font, followed by a paragraph with normal 10-point font. Do not cite references in the abstract. Please do not place or cite tables and figures in the abstract either.","PeriodicalId":251100,"journal":{"name":"Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116187372","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}
Pub Date : 2021-05-11DOI: 10.2991/ASSEHR.K.210508.067
D. A. Oktafiana, H. Tobing, Y. Mariani, E. Marlinda, Ismaini, L. Asri, Darmawijoyo, Somakim
This paper was to describe primary and junior high school students' perceptions of the fraction concept through their representations. The subject of this research was the 5 grade and 7-grade students. This research revealed that students who studied varying images could be used to construct the concept of fractions. In contrast, using a single image could lead to a misconception of the fraction.
{"title":"The Missing Link Between the Fraction Concept and Its Representation","authors":"D. A. Oktafiana, H. Tobing, Y. Mariani, E. Marlinda, Ismaini, L. Asri, Darmawijoyo, Somakim","doi":"10.2991/ASSEHR.K.210508.067","DOIUrl":"https://doi.org/10.2991/ASSEHR.K.210508.067","url":null,"abstract":"This paper was to describe primary and junior high school students' perceptions of the fraction concept through their representations. The subject of this research was the 5 grade and 7-grade students. This research revealed that students who studied varying images could be used to construct the concept of fractions. In contrast, using a single image could lead to a misconception of the fraction.","PeriodicalId":251100,"journal":{"name":"Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127020801","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}
Pub Date : 1900-01-01DOI: 10.2991/ASSEHR.K.210508.038
N. Karima, I. Magdalena
In this paper, we study the pollutant transport phenomenon using an advection-diffusion equation. To solve the model numerically, we apply the finite difference method. Here we use the second, fourth, and sixth-order explicit finite difference schemes. To validate our numerical models, we compare the numerical results with the existing analytical solution. Further, we conclude that the methods can best approximate the exact solution when using a small Courant number and spatial grid partition. Amongst the three finite difference methods, we observe that the fourth-order FTCS is the best method to simulate the pollutant transport phenomena.
{"title":"The 2nd, 4th, and 6th-Order Finite Difference Schemes for Pollutant Transport Equation","authors":"N. Karima, I. Magdalena","doi":"10.2991/ASSEHR.K.210508.038","DOIUrl":"https://doi.org/10.2991/ASSEHR.K.210508.038","url":null,"abstract":"In this paper, we study the pollutant transport phenomenon using an advection-diffusion equation. To solve the model numerically, we apply the finite difference method. Here we use the second, fourth, and sixth-order explicit finite difference schemes. To validate our numerical models, we compare the numerical results with the existing analytical solution. Further, we conclude that the methods can best approximate the exact solution when using a small Courant number and spatial grid partition. Amongst the three finite difference methods, we observe that the fourth-order FTCS is the best method to simulate the pollutant transport phenomena.","PeriodicalId":251100,"journal":{"name":"Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131229663","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}
{"title":"Ethnomathematics","authors":"Rozie Fachrur, Wulandari Rika, Ningsih Puji Rahayu","doi":"10.1007/springerreference_77921","DOIUrl":"https://doi.org/10.1007/springerreference_77921","url":null,"abstract":"","PeriodicalId":251100,"journal":{"name":"Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115692674","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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