{"title":"ANALISIS DINAMIKA PENYEBARAN COVID-19 DENGAN LAJU INSIDEN NONLINEAR","authors":"Nurul Qorima Putri, P. Sianturi","doi":"10.30743/MES.V6I2.3358","DOIUrl":"https://doi.org/10.30743/MES.V6I2.3358","url":null,"abstract":"This research is focused on discussing the SEIQRS epidemic model for the spread of the COVID-19 disease with a nonlinear incidence rate. From the result of analysis of the SEIQR model obtained two equilibrium point these are diseases free equilibrium points and endemic equilibrium point. Then, the analysis of the completion behavior is done by using eigenvalues and stability around equilibrium point, the obtained result of the diseases free equilibrium point has two stability traits are saddle point, and stable. The stability diseases free equilibrium will be stable when R0 1, if R0 1 then the equilibrium point is not stable (saddle point) and conversely the positive endemic equilibrium point will be spiral stable. In numerical analysis, it is done by varying the parameter values and using the fourth order runge-kutta approach.","PeriodicalId":303412,"journal":{"name":"MES: Journal of Mathematics Education and Science","volume":"381 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133043995","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}
M. A. Prayoga, Desi Safitri, Fauzia Fahmi, Muhammad Hayyanul Damanik
{"title":"Model Pembelajaran Kooperatif Tipe Student Teams Achievement Division Untuk Mengetahuin Perbedaan Kemampuan Pemecahan Masalah dan Motivasi Belajar Siswa","authors":"M. A. Prayoga, Desi Safitri, Fauzia Fahmi, Muhammad Hayyanul Damanik","doi":"10.30743/MES.V6I2.3096","DOIUrl":"https://doi.org/10.30743/MES.V6I2.3096","url":null,"abstract":"Abstrak. Pemecahan masalah matematika merupakan salah satu tujuan penting dalam pembelajaran matematika bahkan proses pemecahan masalah matematika merupakan jantungnya matematika. Penelitian ini merupakan penelitian eksperimen dengan jenis penelitiannya adalah quasi eksperimen (eksperimen semu) sebab kelas yang digunakan telah terbentuk sebelumnya. 1) Adanya perbedaan kemampuan pemecahan masalah matematis siswa yang diajarkan menggunakan model pembelajaran Kooperatif tipe STAD dengansiswa yang diajar menggunakan model pembelajaran Ekspositori pada materi turunan fungsi aljabar kelas XI SMA Negeri 1 Secanggang. 2) Terdapat perbedaan motivasi belajar siswa yang diajarkan menggunakan model pembelajaran Koopertif tipe STAD dengan siswa yang diajar menggunakan model pembelajaran Ekspositori pada materi turunan fungsi aljabar kelas XI SMA Negeri 1 Secanggang. 3) Terdapat perbedaan kemampuan pemecahan masalah matematis dan motivasi belajar siswa yang diajarkan menggunakan model pembelajaran Koopertif tipe STAD dengan siswa yang diajar menggunakan model pembelajaran Ekspositori pada materi turunan fungsi aljabar kelas XI SMA Negeri 1 Secanggang Kata Kunci: Model Pembelajaran Kooperatif, Student Teams Achievement Division (STAD), Kemampuan Pemecahan Masalah, Motivasi Belajar, Pembelajaran Matematika Abstract. Mathematical problem solving is one of the important goals in learning mathematics even the process of solving math problems is at the heart of mathematics. This research is an experimental research with the type of research is quasi-experimental (quasi-experimental) because the class used has been formed beforehand. 1) There is a difference in the mathematical problem solving abilities of students who are taught using the STAD cooperative learning model with students who are taught using the Expository learning model in the derivative material of algebraic functions in class XI SMA Negeri 1 Secanggang. 2) There is a difference in the learning motivation of students who are taught using the STAD Coopertive learning model with students who are taught using the Expository learning model on the derivative material of algebraic functions in class XI SMA Negeri 1 Secanggang. 3) There are differences in mathematical problem solving abilities and student learning motivation who are taught using the STAD Coopertive learning model with students who are taught using the Expository learning model in the derivative material of algebraic functions in class XI SMA Negeri 1 Secanggang Keywords: Cooperative Learning Model, Student Teams Achievement Division (STAD), Problem Solving Ability, Learning Motivation, Mathematics Learning","PeriodicalId":303412,"journal":{"name":"MES: Journal of Mathematics Education and Science","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116408857","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":"MINIMASI MAKESPAN PADA PERSOALAN PENJADWALAN ORDERED FLOWSHOP MENGGUNAKAN PSO","authors":"Rizki Habibi, A. Panjaitan, M. firdaus","doi":"10.30743/MES.V6I2.3728","DOIUrl":"https://doi.org/10.30743/MES.V6I2.3728","url":null,"abstract":"The production scheduling problem is in the kind of flowshop with n jobs and m machines, to get the order of the schedule for allocating operations of the jobs to the available machines so as to get the minimum total time for completion of all job or commonly called makespan. This study uses an optimization technique approach with the PSO algorithm to get minimum makespan on the ordered flowhop scheduling problem. The performance of the scheduling algorithm presented is evaluated by testing on a benchmark data set of 240 variations in the combination number of jobs and machines. The minimum measure is obtained as a result of scheduling with PSO, whose process stops at a certain iteration when in the last 10 iterations there is no change in the value of a better makespan. The performance of the PSO algorithm is efficient at regular flow scheduling with the use of the most iterations of 19 iterations and the longest execution time of 28.42 seconds or less than half a minute, namely scheduling instances with the largest number of machines and jobs. In this research, only the analysis of the resulting minimal forward and the time of execution was carried out. Further research can be extended by not only measuring the minimum makespan, such as measuring total flowtime, total tardiness, and others.","PeriodicalId":303412,"journal":{"name":"MES: Journal of Mathematics Education and Science","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128893487","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":"IMPLEMENTASI MODEL DISCOVERY LEARNING DALAM UPAYA MENINGKATKAN AKTIVITAS DAN HASIL BELAJAR SISWA","authors":"Jafri Haryadi, Santi Pratiwi","doi":"10.30743/MES.V6I2.3730","DOIUrl":"https://doi.org/10.30743/MES.V6I2.3730","url":null,"abstract":"This study aims to determine the increase in active activity and student learning outcomes through discovery learning models in the physics learning process. This study applies a classroom action research model that is implemented to correct some weak aspects of previous learning through a process of reflection. The object of this research is the students of SMA Negeri 2 Perbaungan class X, amounting to 30 people. The results indicated that there had been a significant increase in student activity and learning completeness. In the first cycle, the percentage of student activity was 46.30% and the percentage of student learning completeness was 40%. As for the second cycle, it was found that the average student activity was 77.67% and the percentage of student learning completeness was 86.67%. This shows that the activities that have been carried out in each cycle II do not need to be corrected and declared successful.","PeriodicalId":303412,"journal":{"name":"MES: Journal of Mathematics Education and Science","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123169906","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}
Anggi Anatasia Kinanti, F. Firmansyah, H. Mawengkang
{"title":"Perbedaan Peningkatan Kemampuan Komunikasi dan Self Efficacy Siswa SMP Menggunakan Model Pembelajaran Berbasis Masalah dan Contextual Teaching and Learning (CTL)","authors":"Anggi Anatasia Kinanti, F. Firmansyah, H. Mawengkang","doi":"10.30743/MES.V6I2.3706","DOIUrl":"https://doi.org/10.30743/MES.V6I2.3706","url":null,"abstract":"Penelitian ini bertujuan untuk mengetahui perbedaan peningkatan kemampuan komunikasi dan self efficacy siswa terhadap materi pokok Lingkaran sebelum dan sesudah diajarkan menggunakan model pembelajaran berbasis masalah dan contextual teaching and learning (CTL) dikelas VIII SMP Negeri 17 Medan. Populasi penelitian adalah seluruh siswa kelas VIII yang berjumlah 315 orang. Dari populasi ini ditetapkan 70 siswa sebagai sampel yakni kelas VIII-5 dan VIII-6. Metode penelitian ini adalah metode eksperimen. Tes yang digunakan adalah pretes dan posttes pada meteri pokok Lingkaran masing-masing 5 soal untuk mengukur kemampuan komunikasi menggunakan angket untuk mengukur kemampuan self efficacy. Pengumpulan data dilakukan melalui tes. Nilai gain diperoleh dari rumus Meltzer dengan hasil : untuk kelas eksperimen 1 nilai gain minimum = 0,32 dan maksimum = 0,96, sedangkan untuk kelas eksperimen 2 nilai gain minimum = 0,16 dan maksimum = 0,63. Dari hasil penelitian disimpulkan bahwa (1) terdapat perbedaan signifikan dalam peningkatan kemampuan komunikasi siswa antara yang pembelajarannya menggunakan model pembelajaran berbasis masalah dan contextual teaching and learning (CTL), (2) terdapat perbedaan signifikan dalam peningkatan kemampuan komunikasi dan sefl efficacy siswa pada level pengetahuan awal matematika tinggi, sedang dan rendah, (3) tidak terdapat interaksi antara pendekatan pembelajaran dan level pengetahuan awal matematika siswa terhadap peningkatan kemampuan komunikasi dan self efficacy.","PeriodicalId":303412,"journal":{"name":"MES: Journal of Mathematics Education and Science","volume":"128 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127086942","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":"PERANAN REPRESENTASI BERBANTUAN SOFTWARE MAPLE PADA PEMBELAJARAN MATA KULIAH KALKULUS","authors":"A. Panjaitan","doi":"10.30743/MES.V4I2.1288","DOIUrl":"https://doi.org/10.30743/MES.V4I2.1288","url":null,"abstract":"Abstract. Computers are essential tools for teaching, learning, and doing mathematics. Computers can visualize or represent mathematical ideas, organize and analyze data, and calculate effectively and accurately. Computers can help students conduct investigations through representations in various fields of mathematics such as geometry, calculus, statistics, algebra, measurements, and numbers. This paper discusses the role of Maple assisted representation in calculus learning. Representation is very supportive in increasing students' understanding of mathematical relations and concepts. There are three main functions of representation, namely complementing, constraining, and constructing. Complementing function is to complete the process and complete the information. The constraining function is to help students experience difficulties in a representation. The constructing function is to support constructing a deeper understanding of a concept. Students can get a deeper understanding if difficulties with only one representation. Maple software is a facility that is very supportive in making representations in learning mathematics as in calculus learning. By using Maple we can do numerical and symbolic calculations and perform graphical representations well. Maple can also effectively determine limits, derivatives, integrals, and a series of other functions and capabilities. With this Maple software capability, we can use it to improve students' understanding of calculus courses.Keywords: Representation, Computers, Maple, Calculus","PeriodicalId":303412,"journal":{"name":"MES: Journal of Mathematics Education and Science","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122178290","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":"PENGARUH MODEL PEMBELAJARAN KOOPERATIF TIPE THINK PAIR SHARE TERHADAP HASIL BELAJAR MAHASISWA PADA MATA KULIAH PENGANTAR DASAR MATEMATIKA-FKIP UMSU","authors":"Ismail Saleh Nasution","doi":"10.30743/MES.V4I2.1292","DOIUrl":"https://doi.org/10.30743/MES.V4I2.1292","url":null,"abstract":"Abstract. The purpose of this study is to find out the effect of cooperative learning type Think Pair Share on student learning outcomes in basic mathematics introductory courses at the FKIP PGMS UMSU Study Program. This study was a quasi-experimental study, using the one group pretest posttes only model, using one class as the study sample. The research instrument used in this study was a test / quiz in the form of 23 objective / multiple choice questions about set material and relationships contained in the basic mathematics introductory course. Based on the data obtained from the research results, there is an increase in the quality of learning in two stages, namely before the application of the Think Pair Share learning model and after the application of the Think Pair Share learning model. It can be seen that the values obtained by students at the post-test stage are superior and than before the application of the Think Pair Share learning model. The research hypothesis testing is related to how much influence the application of Think Pair Share learning models to improving student learning outcomes is done through statistical tests / t test. The result, obtained Tcount = 3.64. Then compared with Ttaraf at df = n-1, df = 42-1 = 41. With a real level of α of 0.05 is 2.02, if the price of Tcount is compared to T(table). It turns out Tcount > T(table) (3.64 > 2.02). This figure shows that the Think Pair Share learning model has a positive effect on the ability to understand the subject matter of Basic Mathematics Introduction for students of the FKIP UMSU PGSD Study Program.Keywords: Think Pair Share, Basic Introduction to Mathematics","PeriodicalId":303412,"journal":{"name":"MES: Journal of Mathematics Education and Science","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124190851","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":"UPAYA PENINGKATAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIKA MELALUI PENERAPAN MODEL PEMBELAJARAN KEPALA BERNOMOR STRUKTUR","authors":"Helma Mustika, Devi Mei Riska","doi":"10.30743/MES.V4I2.1290","DOIUrl":"https://doi.org/10.30743/MES.V4I2.1290","url":null,"abstract":"Abstract. This study aims to improve students' mathematical problem-solving abilities by applying the learning model with head numbered structure. This type of research is the Class Action Research (CAR). Data collection techniques used were tests and observations. The instruments used were the problem-solving ability test, observation sheet and data analysis techniques using the problem-solving indicator values. Based on the results of the problem-solving ability test that on indicator 1 that fulfills the completeness of learning in the first cycle 63%, and the second cycle 78%. Indicator 2 in cycle I 59%, and cycle 2 70%. Indicator 3 in cycle I as 52% and cycle II is 67%. Indicator 4 in cycle I 48%, and cycle II 63%. So it can be concluded that the students' mathematical problem-solving abilities increase through the application of the learning model with head numbered structure. Key words: Head Number Structure, Problem Solving ","PeriodicalId":303412,"journal":{"name":"MES: Journal of Mathematics Education and Science","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114853066","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":"PENERAPAN STRATEGI PEMBELAJARAN INTERAKTIF DENGAN TEKNIK PEMBELAJARAN KOLABORATIF SEND-A-PROBLEM TERHADAP KEMAMPUAN PEMECAHAN MASALAH MATEMATIS SISWA KELAS IX SMP","authors":"Beni Junedi, J. Juliana","doi":"10.30743/MES.V4I2.1289","DOIUrl":"https://doi.org/10.30743/MES.V4I2.1289","url":null,"abstract":"Abstract. Mathematical problem solving is a process that includes understanding problems, planning problem solving, solving problems and checking again. Writing this article aims to determine the mathematical problem solving abilities of students by applying interactive learning strategies with collaborative learning techniques a-problem and conventional learning. This study was a quasi-experimental study with a randomized subject design posttest only control group design. Data collection techniques in the form of essay tests by testing hypotheses using the t-test. The results of the hypothesis test concluded that mathematical problem solving ability with the application of interactive learning strategies with collaborative learning technique is a problem better than conventional learning.Keywords: Interactive Learning, Collaborative Techniques Send-a-Problem, Mathematical Problem Solving Ability","PeriodicalId":303412,"journal":{"name":"MES: Journal of Mathematics Education and Science","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130528678","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":"PENERAPAN MODEL PEMBELAJARAN THINK TALK WRITE (TTW) TERHADAP KEMAMPUAN KOMUNIKASI MATEMATIS SISWA","authors":"F. Ramadhani, Delima Septiani","doi":"10.30743/MES.V4I2.1295","DOIUrl":"https://doi.org/10.30743/MES.V4I2.1295","url":null,"abstract":"Abstract. The purpose of this study was to determine the mathematical communication skills of class VII students at Muhammadiyah Middle School in Pasir Penyu. This type of research is a Quasi Experiment with the design of Randomized Subject Posttest-Only Control Group Design. The data analysis technique in this test uses the t-test. Based on the calculation of the hypothesis test shows the significant value of the sample class is 0.003 <0.05. Based on these results, H0 is rejected and Ha is accepted. So it can be concluded that the mathematical communication skills of students using the think talk write learning model is better than the mathematical communication skills of students using conventional learning models in class VII in the middle school Muhammadiyah Pasir Penyu.Keywords: Mathematical Communication, Think Talk Write","PeriodicalId":303412,"journal":{"name":"MES: Journal of Mathematics Education and Science","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131563063","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}