Jurnal Riset Pendidikan Matematika最新文献

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Pengembangan Media Pembelajaran Articulate Storyline untuk Pemahaman Konsep Materi Turunan Siswa di SMA 开发衔接故事情节学习媒体,帮助高中学生理解衍生材料的概念
Jurnal Riset Pendidikan Matematika Pub Date : 2024-02-15 DOI: 10.21831/jrpm.v10i2.71066
La Ode Ahmad Jazuli, Arvyaty Arvyaty, Hasnawaty Hasnawaty, Muhamad Fadel Ibrahim
{"title":"Pengembangan Media Pembelajaran Articulate Storyline untuk Pemahaman Konsep Materi Turunan Siswa di SMA","authors":"La Ode Ahmad Jazuli, Arvyaty Arvyaty, Hasnawaty Hasnawaty, Muhamad Fadel Ibrahim","doi":"10.21831/jrpm.v10i2.71066","DOIUrl":"https://doi.org/10.21831/jrpm.v10i2.71066","url":null,"abstract":"The ability to understand mathematical concepts of students who are still relatively low requires a handling in the form of learning in accordance with student characteristics and learning material. This can be done by presenting learning media facilitated by teachers as scientific products resulting from the design and development of multimedia programs for Articulate Storyline interaction. This study aims to: (1) describe the process and produce valid and practical Articulate Storyline learning media products; (2) examine the practicality of learning implementation using Articulate Storyline learning media products (3) examine students' ability to understand mathematical concepts in derivative material that follows Articulate Storyline learning assisted learning. This research uses development methods with ADDIE procedural models: Analysis, Design, Development, Implementation, and Evaluation. The study involved 32 students of grade XI Science 2 SMA Negeri 2 Konawe Selatan using test sheet instruments, questionnaires, and validation. The results of research on the development of learning media based on Articulate Storyline were obtained valid and very feasible based on the assessment of material experts with an overall average score of 92% and media experts obtained an overall average score of 89%. Assessment of the practicality of learning media obtained an average score of 82% which is included in the very practical category. The results of the practicality analysis obtained practical categories based on student and teacher responses through the implementation of learning. The test score results stated that the average comprehension ability of students with derivative concepts was 84 and was said to be very high by being taught using Articulate Storyline-based learning media","PeriodicalId":31272,"journal":{"name":"Jurnal Riset Pendidikan Matematika","volume":"146 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140456152","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}
引用次数: 0
Penerapan Logika Fuzzy dalam Menentukan Tingkat Kerawanan Longsor di Suatu Wilayah 模糊逻辑在确定山体滑坡程度时的应用
Jurnal Riset Pendidikan Matematika Pub Date : 2023-07-20 DOI: 10.29313/jrm.v3i1.1737
Wilda Ismarnita, Respitawulan
{"title":"Penerapan Logika Fuzzy dalam Menentukan Tingkat Kerawanan Longsor di Suatu Wilayah","authors":"Wilda Ismarnita, Respitawulan","doi":"10.29313/jrm.v3i1.1737","DOIUrl":"https://doi.org/10.29313/jrm.v3i1.1737","url":null,"abstract":"Abstract. FFuzzy Mamdani is one part of the Fuzzy Inference System. In this study the Fuzzy Mamdani method was applied to determine the level of landslide vulnerability in a certain area by taking input variables from rainfall, slope, soil height, and soil type. The Fuzzy Mamdani method has four stages to obtain the output variable. The first step is to determine the Fuzzy set of each input and output variable. The second step is the application of the implication function using the MIN function. The third step is the composition of the rules using the MAX function. The fourth step is to change the output from Fuzzy numbers to firm numbers or defuzzification. The defuzzification method that we used is the centroid method. The results of the study showed that all areas in the sample cases are included in landslide-prone areas. \u0000Abstrak. Fuzzy Mamdani adalah salah satu bagian dari Fuzzy Inference System. Pada penelitian ini metode Fuzzy Mamdani diterapkan untuk menentukan tingkat kerawanan longsor pada suatu daerah tertentu dengan mengambil variabel input dari curah hujan, kemiringan lereng, ketinggian tanah, dan jenis tanah. Metode Fuzzy Mamdani mempunyai empat tahapan untuk mendapatkan variabel output, yaitu langkah pertama menentukan himpunan Fuzzy dari masing-masing variabel input dan output. Langkah kedua yaitu aplikasi fungsi implikasi dengan fungsi MIN. Langkah ketiga yaitu komposisi aturan dengan fungsi MAX. Langkah keempat yaitu mengubah output dari bilangan Fuzzy ke bilangan tegas atau defuzzifikasi, metode defuzzifikasi yang digunakan adalah metode centroid. Hasil penelitian menunjukkan semua wilayah dalam contoh kasus masuk kedalam wilayah yang rawan longsor.","PeriodicalId":31272,"journal":{"name":"Jurnal Riset Pendidikan Matematika","volume":"12 3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90390978","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}
引用次数: 0
Penerapan Metode Cubic Spline Interpolation untuk Menentukan Peluang Kematian pada Tabel Mortalita
Jurnal Riset Pendidikan Matematika Pub Date : 2023-07-20 DOI: 10.29313/jrm.v3i1.1735
S. Sofiyani, Yurika Permanasari
{"title":"Penerapan Metode Cubic Spline Interpolation untuk Menentukan Peluang Kematian pada Tabel Mortalita","authors":"S. Sofiyani, Yurika Permanasari","doi":"10.29313/jrm.v3i1.1735","DOIUrl":"https://doi.org/10.29313/jrm.v3i1.1735","url":null,"abstract":"Abstract. The mortality table is statistical data from a population that states the probability that someone will die. With the modeling of the mortality table, the probability of someone dying can be known. The mortality table can be estimated by a method, one of which is the Cubic spline Interpolation method to estimate the probability of death for Indonesian people in general. The approximate value of the probability of death for a person at a certain age is obtained from the Cubic spline interpolation followed by the Spline smoothing process. Cubic interpolation is used to estimate the probability value between the values of a person's age at death. The Cubic spline interpolation solution uses a system of linear equations because the cubic function runs from  to 1, in this case according to the 2011 mortality table,  moves from 0 years old to 111 years old. The solution to a system of linear equations using Gaussian elimination produces a tridiagonal matrix to find out the points as unknown coefficients. The estimated value using the Cubic spline Interpolation method was tested using the MAPE method to determine the accuracy of the approximation value. \u0000Abstrak. Tabel mortalita merupakan data statistik dari suatu penduduk yang menyatakan peluang seseorang meninggal. Dengan adanya pemodelan tabel mortalita maka dapat diketahui peluang seseorang meninggal. Tabel mortalita dapat ditaksir oleh sebuah metode, salah satunya dengan metode Cubic spline Interpolation untuk menaksir peluang kematian masyarakat Indonesia secara umum. Nilai pendekatan peluang kematian sesorang pada umur tertentu diperoleh dari interpolasi Cubic spline  yang dilanjutkan dengan proses smoothing Spline. Interpolasi kubik digunakan untuk menaksir nilai peluang diantara nilai-nilai rentang umur kematian seseorang. Penyelesaian interpolasi Cubic spline menggunakan sistem persamaan linier karena fungsi kubik berjalan dari  hingga , dalam hal ini sesuai dengan Tabel mortalita 2011, bergerak dari usia  tahun hingga usia 111 tahun. Solusi sistem persamaan linier menggunakan eliminasi Gauss menghasilkan matrik tridiagonal untuk mengetahui titik-titik sebagai koefisien yang belum diketahui. Nilai hasil taksiran menggunakan metode Cubic spline Interpolation diujikan menggunakan metode MAPE untuk mengetahui akurasi nilai pendekatan.","PeriodicalId":31272,"journal":{"name":"Jurnal Riset Pendidikan Matematika","volume":"232 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86692941","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}
引用次数: 0
Implementasi Metode Topsis dalam Seleksi Penerimaan Dana Bantuan Masyarakat Topsis方法实施在社会救济资金选择
Jurnal Riset Pendidikan Matematika Pub Date : 2023-07-19 DOI: 10.29313/jrm.v3i1.1733
Hilwa Gifty Salsabila, Didi Suhaedi
{"title":"Implementasi Metode Topsis dalam Seleksi Penerimaan Dana Bantuan Masyarakat","authors":"Hilwa Gifty Salsabila, Didi Suhaedi","doi":"10.29313/jrm.v3i1.1733","DOIUrl":"https://doi.org/10.29313/jrm.v3i1.1733","url":null,"abstract":"Abstract. One of the economic conditions in society is poverty. Poverty is the inability of a person to meet his basic needs, namely clothing, food and shelter. Therefore, the government's role is needed to help people who are lacking so they can live their lives. The only assistance provided by the government is the Assistance Fund for the underprivileged. In practice, the distribution of aid funds in the community is not always on target. This also happened in one of the villages, namely Sindang village. The aim of the research is to assist in the selection stage of receiving aid funds with the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS) method. The TOPSIS method is one of the methods in a decision support system. The use of the TOPSIS method is to obtain more objective and precise results. The calculation of the TOPSIS method at the stage of selecting grant recipients was carried out using Microsoft Excel software. The results obtained are in the form of a list of recipients of aid funds based on preference values. The order is based on the highest preference value. The top sequence is people who are entitled to receive aid funds, while those at the bottom do not or are less eligible to receive aid funds. \u0000Abstrak. Salah satu kondisi perekonomian di masyarakat adalah kemiskinan. Kemiskinan merupakan ketidakmampuan seseorang dalam memenuhi kebutuhan dasarnya, yaitu sandang, pangan, dan papan. Oleh karena itu, dibutuhkan peran pemerintah untuk membantu warga yang kekurangan agar dapat melangsungkan kehidupannya. Bantuan yang diberikan pemerintah salah-satunya adalah Dana Bantuan untuk masyarakat yang kurang mampu. Pada praktiknya penyaluran dana bantuan di masyarakat tidak selalu tepatan sasaran. Hal tersebut juga terjadi di salah satu desa, yaitu desa Sindang. Tujuan penelitian ialah membantu tahapan seleksi penerimaan dana bantuan dengan metode Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). Metode TOPSIS merupakan salah satu metode dalam sistem pendukung keputusan. Digunakannya metode TOPSIS ialah untuk mendapatkan hasil yang lebih objektif dan tepat. Perhitungan metode TOPSIS pada tahapan seleksi penerima dana bantuan dilakukan menggunakan software Microsoft Excel. Diperoleh hasil berupa urutan daftar penerima dana bantuan berdasarkan nilai preferensi. Urutan didasarkan pada nilai preferensi tertinggi. Urutan teratas adalah masyarakat yang berhak menerima dana bantuan, sedangkan yang paling bawah tidak atau kurang layak menerima dana bantuan.","PeriodicalId":31272,"journal":{"name":"Jurnal Riset Pendidikan Matematika","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83132375","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}
引用次数: 0
Peramalan Jumlah Penumpang Kereta Api Eksekutif di Pulau Jawa Menggunakan Model SARIMA
Jurnal Riset Pendidikan Matematika Pub Date : 2023-07-19 DOI: 10.29313/jrm.v3i1.1747
Laras Luthfiyyah Ibrahim, Eti Kurniati
{"title":"Peramalan Jumlah Penumpang Kereta Api Eksekutif di Pulau Jawa Menggunakan Model SARIMA","authors":"Laras Luthfiyyah Ibrahim, Eti Kurniati","doi":"10.29313/jrm.v3i1.1747","DOIUrl":"https://doi.org/10.29313/jrm.v3i1.1747","url":null,"abstract":"Abstract. The number of fluctuating train passengers will especially increase during the Eid al-Fitr, Christmas and New Year holidays. At such times passengers will exceed the available capacity. To provide the best service, it is necessary to know the number of passengers in the future. So that the company can provide according to needs. With this research, it aims to create a model that will be used to predict the number of train passengers on the island of Java in 2023. The method used is Seasonal ARIMA or it can be called SARIMA. This method is a method for a forecast that is seasonal. The results obtained from the model formed are SARIMA(1,0,1)(1,1,0)12. With the forecasting results, namely the number of train passengers on Java Island with the MSE obtained 119.17. From the MSE obtained, forecasting can be said to be accurate. \u0000Abstrak. Jumlah penumpang kereta api berfluktuasi terutama akan meningkat di saat hari raya Idul Fitri, natal dan tahun baru. Di saat seperti itu penumpang akan melebihi kapasitas yang tersedia. PT.KAI dalam meningkatkan kualitas pelayanannya, memerlukan pengetahuan jumlah penumpang di masa yang akan datang. Sehingga perusahaan bisa menyediakan sesuai dengan kebutuhan. Tujuan penelitian ini untuk membuat pemodelan yang akan digunakan untuk meramalkan jumlah penumpang kereta api di Pulau Jawa pada tahun 2023. Metode yang digunakan yaitu  Seasonal ARIMA atau bisa disebut SARIMA. Metode ini merupakan metode untuk sebuah peramalan yang bersifat musiman. Hasil yang diperoleh dari model yang terbentuk yaitu SARIMA(1,0,1)(1,1,0)12. Dengan hasil peramalan yaitu jumlah penumpang kereta api di Pulau jawa pada bulan Maret menjelang hari raya Idul Fitri yaitu sebesar 4470 jiwa.","PeriodicalId":31272,"journal":{"name":"Jurnal Riset Pendidikan Matematika","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85506441","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}
引用次数: 1
Penerapan Model CAPM dan Arbitrage Pricing Theory dalam Menghitung Return Indeks Saham IDX30
Jurnal Riset Pendidikan Matematika Pub Date : 2023-07-18 DOI: 10.29313/jrm.v3i1.1736
Suciana Fratama, Eti Kurniati
{"title":"Penerapan Model CAPM dan Arbitrage Pricing Theory dalam Menghitung Return Indeks Saham IDX30","authors":"Suciana Fratama, Eti Kurniati","doi":"10.29313/jrm.v3i1.1736","DOIUrl":"https://doi.org/10.29313/jrm.v3i1.1736","url":null,"abstract":"Abstract. Investors in investing will be faced with uncertainty. If an investor takes a risk, then he will also expect a return that is proportional to the risk he will take too. Efforts to reduce the risk that will be faced by investors is by diversifying to create a portfolio. Investors in investing expect high returns with small risks from the portfolio they form. Investors must find a way to get a return that is not far from the Expected Return with a small risk. Models that can be used to calculate the Expected Return include the Capital Asset Pricing Model (CAPM) and the Arbitrage Pricing Theory (APT). The CAPM model and the APT model have differences, namely in the CAPM model the risk factor considered is systematic market risk while the APT model includes several macroeconomic factor variables. The purpose of this study is to apply the CAPM model and the APT model in calculating IDX30 stock returns for the period January 2020 – December 2021. This study also calculates the mean deviation of the Mean Absolute Deviation (MAD) between the CAPM and APT models. The results of this study showed that the MAD CAPM value was 0.00955 and the MAD APT value was 0.01369. \u0000Abstrak. Investor dalam melakukan investasi akan berhadapan dengan ketidakpastian. Jika seorang investor mengambil suatu risiko, maka dia juga akan mengharapkan return yang sebanding dengan risiko yang akan dia ambil juga. Upaya untuk mengurangi risiko yang akan dihadapi oleh investor yaitu dengan melakukan diversifikasi membuat suatu portofolio. Investor dalam melakukan investasi mengharapkan return yang tinggi dengan risiko yang kecil dari portofolio yang dibentuknya. Investor harus mendapatkan cara untuk mendapatkan return yang tidak jauh dari return yang diharapkannya (Expected Return) dengan risiko yang kecil. Model yang bisa digunakan dalam menghitung Expected Return diantaranya Capital Asset Pricing Model (CAPM)  dan  Arbitrage Pricing Theory (APT).  Model CAPM dan model APT ini memiliki perbedaan yaitu pada model CAPM faktor risiko yang dipertimbangkan adalah risiko sistematis pasar sedangkan model APT memasukkan beberapa variabel faktor makroekonomi. Tujuan dari penelitian ini yaitu untuk menerapkan model CAPM dan model APT dalam menghitung return saham IDX30 periode Januari 2020 – Desember 2021. Penelitian ini juga menghitung rata - rata penyimpangan Mean Absolute Deviation (MAD) antara model CAPM dan APT. Hasil penelitian ini nilai MAD CAPM sebesar 0.00955 dan nilai MAD APT sebesar 0.01369.","PeriodicalId":31272,"journal":{"name":"Jurnal Riset Pendidikan Matematika","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88313480","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}
引用次数: 0
Penerapan Model Regresi dalam Menentukan Pengaruh Pendapatan Perkapita dan Jumlah Penduduk terhadap Konsumsi Masyarakat 决定人均收入和人口数量对社会消费的影响的回归模式的应用
Jurnal Riset Pendidikan Matematika Pub Date : 2023-07-18 DOI: 10.29313/jrm.v3i1.1732
Adi Mulyono, Onoy Rohaeni
{"title":"Penerapan Model Regresi dalam Menentukan Pengaruh Pendapatan Perkapita dan Jumlah Penduduk terhadap Konsumsi Masyarakat","authors":"Adi Mulyono, Onoy Rohaeni","doi":"10.29313/jrm.v3i1.1732","DOIUrl":"https://doi.org/10.29313/jrm.v3i1.1732","url":null,"abstract":"Abstract. Bandung city is the capital city of West Java province. Household consumption in the city of Bandung has decreased in 2020. The decline in public consumption in the city of Bandung was driven by a decrease in people's purchasing power due to a decrease in income as a result of the occurrence of Covid throughout the world. The pandemic resulted in many people experiencing illness and some of those who were sick died. In addition, some lost their jobs, resulting in a decrease in the level of capita income of the people of Bandung. This is expected to affect the amount of consumption in the city of Bandung. The purpose of this study was to determine the effect of capita income and population on consumption. The method used is multiple linear regression analysis, then the results obtained are variable capita income and number of residents have a positive effect on consumption. \u0000Abstrak. Kota Bandung merupakan ibu kota provinsi Jawa Barat. Konsumsi rumah tangga di kota Bandung mengalami penurunan di tahun 2020. Penurunan konsumsi masyarakat di kota Bandung didorong oleh adanya penurunan daya beli masyarakat akibat penurunan pendapatan sebagai efek dari terjadinya Covid di seluruh dunia. Pandemi mengakibatkan banyak masyarakat yang mengalami sakit dan sebagian dari yang sakit meninggal dunia. Selain itu sebagian kehilangan pekerjaannya sehingga mengakibatkan penurunan tingkat pendapatan perkapita masyarakat kota Bandung. Hal ini diduga akan mempengaruhi jumlah konsumsi masyarakat kota Bandung. Tujuan dari penelitian ini adalah untuk menentukan pengaruh pendapatan perkapita dan jumlah penduduk terhadap konsumsi. Metode yang digunakan adalah analisis regresi linier berganda, kemudian hasil yang diperoleh adalah variabel pendapatan perkapita dan jumlah pernduduk memiliki pengaruh positif terhadap konsumsi.","PeriodicalId":31272,"journal":{"name":"Jurnal Riset Pendidikan Matematika","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87448768","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}
引用次数: 0
Fungsi Transposisi Modulo untuk Mencari Nada pada Komposisi Akor dalam Musik Blues 模位功能是在和弦的蓝调中寻找音高
Jurnal Riset Pendidikan Matematika Pub Date : 2023-07-18 DOI: 10.29313/jrm.v3i1.1746
Fakhri Murfid Pratama, Icih Sukarsih
{"title":"Fungsi Transposisi Modulo untuk Mencari Nada pada Komposisi Akor dalam Musik Blues","authors":"Fakhri Murfid Pratama, Icih Sukarsih","doi":"10.29313/jrm.v3i1.1746","DOIUrl":"https://doi.org/10.29313/jrm.v3i1.1746","url":null,"abstract":"Abstract. Many people were not aware that mathematics is often used to solve problems in their daily life. It can solve various problem which may connected to one's hobby, such as  music. Many did not realize that music is related to mathematics. One of the music theory that is closely related to mathematics is the use of numerical notation. One of the important aspect of music theory is chords, which is a group if notes that produce harmonious sound when played simultaneously. There are many variations of chords, especially in blues songs. To determine the composition of the chord itself, the major scale of the chord was used, and the scales of the 12 existing notes transformed into integer using Integer Model of Pitch. In this research, the modulo transposition function was used to find a scale with 12 different basic tones. Modulo arithmetic was also used in this study to transpose several notes in chord compositions. The scales that have been transposed then was used to translate chord compositions in blues songs. \u0000Abstrak.Pada kehidupan sehari – hari banyak yang tidak sadar bahwa ilmu matematika sering digunakan untuk menyelesaikan masalah. Salah satu penyelesaian masalah tersebut adalah penyelasaian terhadap hobi yang sering dijumpai di masyarakat umum yaitu bermusik. Banyak yang tidak menduga bahwa musik berhubungan dengan matematika. Salah satu ilmu bermusik yang berkaitan erat dengan matematika adalah penggunaan notasi angka. Selain notasi angka adapun akor yang merupakan dari nada – nada yang apabila dimainkan secara bersamaan akan menghasilkan suara yang harmonis. Akor sendiri memiliki banyak variasi sehingga komposisi di dalam akor bisa dikatakan sangat bervariasi terutama dalam lagu beraliran blues. Musik beraliran blues menggunakan akor yang bervariasi dalam satu lagunya. Untuk menentukan komposisi akor sendiri digunakan tangga nada mayor dari nama akor tersbut sehingga harus dicari semua tangga nada dari 12 nada yang ada. Dalam penelitian ini fungsi transposisi modulo digunakan untuk mencari tangga nada dengan 12 nada dasar yang berbeda dengan menggunkan Integer Model of pitch. Aritmetika modulo pun digunakan dalam penelitian ini untuk mentrasposisi beberapa nada yang ada komposisi akor. Tangga nada sudah ditransposisi selanjutnya digunakan untuk menerjemahkan komposisi akor dalam lagu blues yang akan dijadikan sebagai objek penelitian.","PeriodicalId":31272,"journal":{"name":"Jurnal Riset Pendidikan Matematika","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78257799","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}
引用次数: 0
Penerapan Metode EOQ untuk Optimalisasi Pengendalian Jumlah Persediaan Obat di Puskesmas 采用EOQ方法最佳控制诊所药量的方法
Jurnal Riset Pendidikan Matematika Pub Date : 2023-07-17 DOI: 10.29313/jrm.v3i1.1748
Usti Amaliah, M. Fajar
{"title":"Penerapan Metode EOQ untuk Optimalisasi Pengendalian Jumlah Persediaan Obat di Puskesmas","authors":"Usti Amaliah, M. Fajar","doi":"10.29313/jrm.v3i1.1748","DOIUrl":"https://doi.org/10.29313/jrm.v3i1.1748","url":null,"abstract":"Abstract. The amount of drug supplies at the Puskesmas cannot be estimated accurately due to different diagnoses and types of diseases suffered by patients every day. This condition is a problem because there could be a shortage of drug stock so that there are patients who do not get the drug or excess drug stock, causing financial losses. The purpose of this study was to determine the optimal number of drug orders at the UPTD Babakan Sari Health Center with minimal absorption of funds. The method used is the ABC (Always Better Control) analysis and the EOQ (Economic Order Quantity) method. ABC analysis is used to determine the level of absorption of funds based on the investment value of the drug, while the EOQ method is used to obtain the optimal number of drug orders. POM QM For Windows software is a tool to simplify calculations. Based on the results of grouping using ABC analysis of 38 types of drugs, there are 6 types of drugs included in group A, 9 types of group B, and 23 types of group C. The results obtained by applying the EOQ method are the values for the optimal number of drug orders. \u0000Abstrak. Jumlah persediaan obat di Puskesmas tidak dapat diperkirakan secara akurat karena adanya perbedaan diagnosa dan jenis penyakit yang diderita oleh pasien setiap harinya yang berbeda-beda. Kondisi  ini menjadi permasalahan karena bisa saja terjadi kekurangan stok obat sehingga ada pasin yang tidak mendapatkan obat atau kelebihan stok obat sehingga menyebabkan kerugian secara finansial. Tujuan dari penelitian ini adalah untuk mengetahui jumlah pemesanan obat yang optimal di UPTD Puskesmas Babakan Sari dengan penyerapan dana yang minimal. Metode yang digunakan adalah analisis ABC (Always Better Control) dan metode EOQ (Economic Order Quantity). Analisis ABC digunakan untuk menentukan tingkat penyerapan dana berdasarkan nilai investasi obat, sedangkan metode EOQ digunakan untuk mendapatkan jumlah pemesanan obat yang optimal. Software POM QM For Windows merupakan alat bantu untuk mempermudah perhitungan. Berdasarkan hasil pengelompokkan menggunakan analisis ABC dari 38 jenis obat terdapat 6 jenis obat yang termasuk kelompok A, 9 jenis kelompok B, dan 23 jenis kelompok C. Hasil yang diperoleh dengan penerapan metode EOQ merupakan nilai jumlah pemesanan obat yang optimal.","PeriodicalId":31272,"journal":{"name":"Jurnal Riset Pendidikan Matematika","volume":"6 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81108608","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}
引用次数: 0
Model SEIR Penyebaran Covid-19 dengan Parameter Penggunaan Masker Kesehatan dan Vaksinasi 西珥模型的Covid-19使用卫生和疫苗接种参数
Jurnal Riset Pendidikan Matematika Pub Date : 2023-07-17 DOI: 10.29313/jrm.v3i1.1731
Shahnaz Afia, Y. Ramdani
{"title":"Model SEIR Penyebaran Covid-19 dengan Parameter Penggunaan Masker Kesehatan dan Vaksinasi","authors":"Shahnaz Afia, Y. Ramdani","doi":"10.29313/jrm.v3i1.1731","DOIUrl":"https://doi.org/10.29313/jrm.v3i1.1731","url":null,"abstract":"Abstract. In Mathematics, research on the spread of a disease can be carried out by establishing an epidemiological model. One type of epidemiological model is the SEIR model. In this study, the SEIR model was developed to determine the effect of mask wearing and vaccination on the spread of Covid-19. The entire population was divided into six compartments, mask wearing and non mask wearing susceptible compartments, exposed compartment, mask wearing and non mask wearing infected compartments, and recovered compartment. The model for the spread of Covid-19 was formed by compiling a compartment diagram for the spread of Covid-19 disease with the parameters of mask wearing and vaccination first. Then, disease-free equilibrium point, endemic equilibrium point, and Basic Reproduction Number are determined. After that, numerical simulation was carried out. The results of this study indicate that the disease-free equilibrium point is locally asymptotically stable when the Basic Reproduction Number is less than one. Meanwhile, the endemic equilibrium point is locally asymptotically stable when the Basic Reproduction Number is larger than one. In addition, this study also shows that mask wearing and vaccinations reduce the value of  Basic Reproduction Number. \u0000Abstrak. Dalam bidang Matematika, penelitian mengenai penyebaran penyakit dapat dilakukan dengan membentuk model epidemiologi. Salah satu jenis model epidemiologi adalah model SEIR. Pada penelitian ini, model SEIR dikembangkan untuk mengetahui pengaruh penggunaan masker kesehatan dan vaksinasi terhadap penyebaran penyakit Covid-19. Keseluruhan populasi dibagi menjadi enam kompartemen, yaitu kompartemen rentan yang tidak menggunakan masker kesehatan, kompartemen rentan yang menggunakan masker kesehatan, kompartemen terpapar, kompartemen terinfeksi yang tidak menggunakan masker kesehatan, kompartemen terinfeksi yang menggunakan masker kesehatan, dan kompartemen sembuh. Model penyebaran Covid-19 dibentuk dengan menyusun diagram kompartemen penyebaran penyakit Covid-19 dengan parameter penggunaan masker kesehatan dan vaksinasi terlebih dahulu. Setelah model Matematika terbentuk, dilakukan penentuan titik ekuilibrium bebas penyakit, titik ekuilibrium endemik, dan Basic Reproduction Number. Kemudian, dilakukan simulasi numerik. Hasil dari penelitian ini menunjukkan bahwa titik ekuilibrium bebas penyakit bersifat stabil asimtotik lokal saat nilai basic reproduction kurang dari satu. Sementara itu, titik ekuilibrium endemik bersifat stabil asimtotik lokal saat nilai Basic Reproduction Number lebih dari satu. Selain itu, penelitian ini juga menunjukkan bahwa penggunaan masker kesehatan dan vaksinasi berperan dalam penurunan nilai Basic Reproduction Number.","PeriodicalId":31272,"journal":{"name":"Jurnal Riset Pendidikan Matematika","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76054459","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}
引用次数: 0
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