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PEMODELAN MATEMATIKA PENYEBARAN POLUTAN UDARA DI KAWASAN PLTU MENGGUNAKAN METODE VOLUME HINGGA Masyhudi, Muhammad Ali; Fatahillah, Arif; Setiawan, Toto Bara
Kadikma Vol 9 No 3 (2018): Desember 2018
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v9i3.11651

Abstract

The existence of a Steam Power Plant greatly helps human electricity needs.The other side, the existence of the power plant activity has a negative impact on the environment. The use of coal fuel produces an air pollutant. The spread of air pollutants is influenced by interrelated variables. The existence of mathematical modeling as an applied science helps represent a problem from real world situations into mathematical language to find solutions to these problems. Mathematical modeling helps build a mathematical formula that describes the spread of air pollutants with actual conditions without ignoring important factors in the system. The analytical exact solution to the problem of spreading air pollutants is very difficult. Therefore, a numerical method approach is used in the form of a volume up method. In this research a mathematical model was built on the distribution of air pollutants based on momentum and mass quantity equations. Keywords: Mathematical Modeling, Air Pollutants, Finite Volume Method
ANALISIS ALIRAN UDARA PADA JEMBATAN SURAMADU DENGAN MENGGUNAKAN METODE VOLUME HINGGA Aprianto, Dody Dwi; Fatahillah, Arif; Setiawani, Susi
Kadikma Vol 5 No 3 (2014): Desember 2014
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v5i3.1380

Abstract

Abstract.This study was aimed to determine the air flow on the Suramadu bridge during extreme conditions. Computational Fluid Dynamics (CFD) is the science study of the flow fluida where air flow is one of them. The wind velocity data that will be examined in this study derived from the previous research. The other data, namely density, viscosity, gravity and pressure obtained from Wikipedia etc. The results of this study in the form of the mathematical model for air flow in the Suramadu bridge obtained using the vinite volume methods. The model was discretized by using upwind Quadratic Interpolation Convective Kinematics (QUICK) to obtain a matrix of size n x n that will be solved by using iterative cojugate gradient methods using MATLAB and Fluent programs. The resulth show that air velocity of Suramadu bridge is extreamly high. It dengerous for any vehicles through the bridge. Key Words: Mathematical Models, Finite Volume Methode, Computational Fluid Dynamics (CFD), Fluent, MATLAB, Discretization.
ANALISIS KESALAHAN SISWA DALAM MENYELESAIKAN SOAL CERITA MATEMATIKA BERDASARKAN TAHAPAN NEWMAN BESERTA BENTUK SCAFFOLDING YANG DIBERIKAN Fatahillah, Arif; Wati, Yuli Fajar; Susanto, Susanto
Kadikma Vol 8 No 1 (2017): April 2017
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v8i1.5229

Abstract

Abstract. This research aims to analyze students error types in solving contextual mathematics problem based on Newman’s error analysis and scaffolding form that’s given to the eight students of Darul Hikmah Junior High School Jember. Instruments that were used in this research are contextual mathematical problem, interview guide, scaffolding guide, and validation sheet. The coeficient validity test is 4,81 and the coeficient validity interview guide is 4,75, so that the criteria of validity research instrumen is valid. Error types student’s according to Newman consists of reading error, comprehension error, transformation error, process skill error, and encoding error. Based on students’ errors, the highest error percentage is comprehension error that's 70,01%, and the lowest error percentage is reading error that’s 20,77%. Generally, the cause of students’ errors is they are not accustomed to solve contextual problems. Scaffolding is a form of help that’s given by the teacher to the students to overcome students’ difficulties when doing a task that can’t be finished by students. Scaffolding that was used in this research refers to Anghileri’s scaffolding level. In scaffolding level 1 (Enviromental Provisions), scaffolding that’s given to students is preparing the learning environment by explaining a little material about Arithmetic Operation Sub Subject of Fraction and giving contextual mathematical problem. Scaffolding that’s given to students with reading error and comprehension error is at level 2 that are reviewing, restructuring, and explaining. Scaffolding that’s given to students with transformation error at level 2 that are reviewing, restructuring, and explaining and level 3 that’s developing conceptual thinking. Scaffolding that’s given to students with process skill error is at level 2 that are reviewing, restructuring, and explaining. Scaffolding that’s given to students with encoding error is at level 2 that are reviewing. Key Words: Newman’s Error Analysis, Scaffolding, and Arithmetic Operation Sub Subject of Fraction
ANALISIS SIRKULASI UDARA PADA TANAMAN KOPI BERDASARKAN POLA TANAM GRAF PRISMA DAN TINGKAT KEMIRINGAN BATANG MENGGUNAKAN METODE VOLUME HINGGA P, Moch. Avel Romanza; Dafik, D; Fatahillah, Arif
Kadikma Vol 6 No 2 (2015): Agustus 2015
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v6i2.1984

Abstract

Abstract. Coffee bean is one of the superior agricultural products in Indonesia. One of the factors that affect the productivity is the cropping pattern of coffee plants. A well organized cropping pattern will make a well organized air circulation which affects the productivity of coffee beans. In this research, a model of air circulation is built based on prism graph for the cropping pattern and solved by using Finite Volume Method (FVM). The model simulation process is done by using MATLAB and FLUENT software. The model is built according to the slope of stem and the temperature of coffee plantation. The temporary result of the research shows that prism graph cropping pattern results good air circulation and also gives good effect to the air circulation around the coffee plantation. The same thing happens to the effect of the slope of stem, the more upright the coffee plant is, the better air circulation and vice versa. Key Words : Coffee plants, air circulation, prism graph, Finite Volume Method (FVM)
PROFIL BERPIKIR SISWA PESERTA OLIMPIADE MATEMATIKA DALAM MENYELESAIKAN MASALAH ALJABAR Latifah, Izza Wardatul; Susanto, S; Sugiarti, Titik; Fatahillah, Arif; Murtikusuma, Randi Pratama
Kadikma Vol 9 No 2 (2018): Agustus 2018
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v9i2.10159

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Abstract. This study aims to describe the profile of generalization thinking, simplifying problems, and analytic thinking of mathematical olympiad students in solving algebraic problems. The research subjects were 4 mathematical olympiad students at SMPN 2 Jember. Tests and interviews are used to collect data. Based on the analysis of the data, the results of the study show that the mathematical olympiad students can solve the given problems using non-procedural methods. They prefer to use a more effective and efficient way. In process of simplifying problems, the students can represent problems into mathematical models using algebraic forms. In making mathematical models, the students use variables as a form of example. In this study, there are still students who use symbols as variables that showing those students are still at the stage of iconic thinking according to J.Bruner's learning theory. In the analytical thinking process students are able to solve problems using the methods they obtain from the results of their analysis of the given problems. In the generalization thinking process students can find and apply existing rules or patterns to solve the given problem, even though there are still students who have not received the material. They are able to solve problems using reasonal and logical thinking. Keywords: Mathematical Olympiad, Generalization, Simplifying Problems, Analityc Thinking.
PENGEMBANGAN MEDIA PEMBELAJARAN INTERAKTIF ONLINE MENGGUNAKAN KelasKita BERBANTUAN SOFTWARE GEOGEBRA PADA MATERI PERSAMAAN KUADRAT Fatoni, Muhamad Faizal; Dafik, Dafik; Fatahillah, Arif
Kadikma Vol 8 No 2 (2017): Agustus 2017
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v8i2.6070

Abstract

Abstract. This research aims to develop an online interactive learning media use assisted KelasKita software Geogebra on quadratic equations. Learning media developed is KelasKita-assisted software Geogebra. This research trial underway in SMP 7 Jember on grade VIII h. This is the kind of research the research development. This research using model Thiagarajan consisting of 4 stages are: 1) the stage of definition 2) stage design of 3) development stage 4) deployment phase. The results of the development on the research of the kevalidan of the analysis of test validation sheets from 3 correlation coefficients obtained validator the validator I of 0.97 0.94 registration validator II, and III of 0.91 validator from the validators valid category earned third with very high interpretation, test the practicality of the analysis of the percentage of the question form students obtained the percentage of 95% by category, and test the effectiveness of the analysis of the value of the test results of the study with a percentage of 94.7% of 38 students scored above the KKM with effective results. Based on the results of these learning media development shows that online interactive learning media use Geogebra software assisted KelasKita meets validity, practicality, effectiveness so that it is said to be worthy of use in learning. Interactive results between teachers and students in KelasKita shows the percentage of students who follow 47.36% for the method graph quadratic equations, and 42.1% to complete the perfect squares method of 38 students. Keywords : Development, Media, KelasKita, Geogebra, Quadratic Equation
PROSES BERPIKIR SISWA TUNA GRAHITA SEDANG DALAM MENYELESAIKAN SOAL CERITA MATEMATIKA BERDASARKAN TAHAPAN PIAGET DI SMPLB-C TPA BALUNG Lestari, Harin Tripuji; Susanto, Susanto; Fatahillah, Arif
Kadikma Vol 8 No 3 (2017): Desember 2017
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v8i3.6971

Abstract

Abstract. The purpose of this research is to describe seventh grade medium mental retardation students' thinking process in solving mathematics problem of addition and subtraction of algebraic form similar rate. The type of research was a descriptive study with qualitative approach. Instruments that were used in this research are contextual mathematical problem, interview guidelines, and validation sheet. The coeficient of validation instrument test is 4,59 and the coeficient of validation instrument interview guidelines is 4,40. Methods of data collection in this research are test and interview. The reseach subject is two medium mental retardation students' in SMPLB-C TPA Balung. Thinking process were analyzed in this reseach based on thinking process indicator in Piaget's step. Based of this research was subjects had difficulty in understanding, remembering, and solving the problem. This is because the level of medium mental retardation intelligence to low i.e. between 40-54, so the subject had disequilibrium, assimilation or accommodation, equilibrium, and back to disequilibrium. Keywords: Piaget's thinking process, medium mental retardation, addition and subtraction of algebraic form similar rate problem.
ANALISIS PEMAHAMAN MATEMATIS SISWA KELAS VIII B SMP NEGERI 8 JEMBER BERDASARKAN POLYA DENGAN PEMBERIAN SCAFFOLDING POKOK BAHASAN KUBUS DAN BALOK Safitri, Fihrin Luqiyya; Susanto, Susanto; Fatahillah, Arif
Kadikma Vol 8 No 2 (2017): Agustus 2017
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v8i2.6825

Abstract

Abstract. The ability of mathematical understanding is one of the purposes in learning activity. By giving understanding that the materials that have been taught to the students is not only as memorizing, but it is more as the students’ understanding in mathematical conceptual, especially in lesson Cube and Cuboids. The ability of understanding is categorized as three levels, they are high, medium, and low understanding. The research shows that of 35 students grouped based on the level the ability understanding mathematical students in accordance with test results obtained with 22 students to the ability of understanding high, 11 students to the ability of understanding and 2 students to the ability of understanding low. The student with high understanding has 4 types, while student who with​ medium level has 2 types, and student with low understanding has only 1 type. Scaffolding that is given to the students is based on the scaffolding characteristics by Roehler and Cantlon, in the stage of mechanical understanding is in characteristics inviting student participation and offering explanations, in the stage of inductive understanding is in characteristics inviting student participation and verifying and clarifying understandings, in the stage of rational understanding is in characteristics inviting student participation and modeling of desired behaviors, while in the stage of intuitive understanding is in characteristics inviting student participation, offering explanations and inviting student to contribute clues. The result of analysis using scaffolding method is the students are more able to understand accurately, but this method is not effective to be used because it spends much time in learning process, so this method will be more effective if it is used outside the learning process or it can be developed by using peer teaching. Keywords : Mathematics, Understanding, Scaffolding
ANALISIS BUKU SISWA MATEMATIKA KURIKULUM 2013 UNTUK KELAS X BERDASARKAN RUMUSAN KURIKULUM 2013 Widyaharti, Maulina Syamsu; Trapsilasiwi, Dinawati; Fatahillah, Arif
Kadikma Vol 6 No 2 (2015): Agustus 2015
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v6i2.1994

Abstract

Abstract: In 2013, there were changes of curriculum in Indonesia. The name of new curriculum is 2013 curriculum. The difference of 2013 curriculum is the student book has been provided by The Goverment. Analysis on student book is needed for reviewing the suitability of student book by 2013 curriculum formulation. Analysis was done based on four criteria, that are competence, material, scientific approach and authentic assessment. Research instrument was form of questions that consist of : 11 competence questions, 11 material questions, 10 scientific approach questions, and 8 authentic assessment questions. Analysis result showed the persentage of competence suitability is 80,49% (good categories), for the persentage of material suitability is 81,06% (good categories), for the persentage of scientific approach suitability is 95,83% (very well categories), and the persentage of authentic assessment suitability is 88,80% (very well categories). Keywords: analysis, 2013 curriculum, student book.
ANALISIS MODEL MATEMATIKA PENYEBARAN ASAP PADA KEBAKARAN RUMAH Rahman, Mohammad Fadli; Fatahillah, Arif; Dafik, D; Kristiana, Arika Indah
Kadikma Vol 5 No 1 (2014): April 2014
Publisher : Department of Mathematics Education , University of Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/kdma.v5i1.1148

Abstract

Abstract. The house fire will produce smoke and hot gas. When we are trapped inside the house fire, we need a secured evacuation path to escape. In this research talk about mathematical model analysis on the spread of house fire by using a finite volume method. Researcher will study the simulation of smoke and hot gas by utilising a mathematical model. We will also model the spread of hot smoke equations based on momentum and energy models. We used Matlab to analyse the spread of smoke and hot gas and use Fluent software to have a graphic animation. The result of simulation with Matlab and Fluent are chart, tables, and images spread of smoke and hot gas. The result shows that te spread of the smoke and hot gas depends on the epicentrum of fire. Key Words: finite volume method, house fire, mathematical model
Co-Authors Adelia Putri Liowardani Ahmad Syaiful Rizal, Ahmad Syaiful Aiyunin, Qurrota Amirullah, Iqbal Anka Monalisa, Lioni Antonius Cahya Prihandoko Arif Wicaksono Arif Wicaksono Arika Indah Kristiana Arnasyitha Yulianti Soelistya Ayu Lestari,, Lisa Azza Liarista Anggraini Brahmanto, Juanda D. Dafik Devi Permatasari Didin Trisnani, Didin Dinawati Trapsilasiwi Diona Amelia, Diona Dody Dwi Aprianto Elsa Yuli Kurniawati Ervin Eka Riastutik, Ervin Eka Excelsa Suli Wildhatul Jannah Faruq, Fathulloh Fatimah, Laila Nurul Fatoni, Muhamad Faizal Fauziyah, Faridah Flavia Aurelia Hidajat, Flavia Aurelia Girlda Elynikie B, Girlda Elynikie Hobri Irsalina Dwi Puspitasari Joni Susanto, Joni Kamalia Fikri Kusumaningtyas, Nastiti Latifah, Izza Wardatul Lestari, Harin Tripuji Lioni Anka Monalisa, Lioni Anka Liowardani, Adelia Putri Lusia Dewi Minarti Lusia Dewi Minarti Madinda, Diah Putri Maharani, Dewi Masyhudi, Muhammad Ali Maulina Syamsu Widyaharti, Maulina Syamsu Maya Margaretha, Puspita Millatuz Zahroh, Millatuz Moch. Avel Romanza P, Moch. Avel Romanza Mochammad Ulin Nuha Mohammad Fadli Rahman Nafisa Afwa Sania Nisa, Choirotun Niswatul Imsiyah Nisyak, Robiatun Novian Nur Fatihah Nur Alfiyantiningsih Nurcholif Diah Sri Lestari Permatasari, Putri Ayu Pradista, Vyke Triawilly Prisma Brilliana Priyanti, Nanda Rahma Purwati, Ratna Puspitasari, Irsalina Dwi Putra, Andhi Septian Hadi Putri, Chika Ramadhanty Twine Ayu Q Qoriatul Qothrunnada, Isni R. Azmil Musthafa, R. Azmil Rafiantika Megahnia Prihandini Randi Pratama Murtikusuma Randi Pratama Murtikusuma Ridho Alfarisi Ridho Alfarisi, Ridho Robiatul Adawiyah S Slamin S Suharto S Sunardi S Susanto Saddam Hussen Saddam Hussen Safira Izza Ghafrina Safira Izza Ghafrina Safitri, Fihrin Luqiyya Septiyan Roby Pratama, Septiyan Roby Setiawan, Renal Heldi Setiawan, Susi Setiawan, Toto’ Bara Setyowati, Henny sholihin, akhmad Siska Aprilia Hardiyanti Siska Binastuti Slamet Hariyadi Soleh Chudin Sufirman Sufirman Suharto Suharto Susanto Susanto Susi Setiawani Susi Setiawani Swasono Rahardjo Theriq Azis Al Husein Titik Sugiarti Titin Kartini Toto Bara Setiawan Trapsilasiswi, Dinawati Umi Azizah Anwar Vahad Agil Liyandri Viantasari, Erwinda Vutikatul Nur Rohmah Wati, Yuli Fajar WIHARDJO, EDY Wiharjo, Edy Yafi, M. Ali Yuli Kurniawati, Elsa Zainul Arifin