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Published by Research and Social Study Institute
ISSN : 72157822     EISSN : 72157822     DOI : 10.26486
Core Subject : Education,
Mathematics
Focus and Scope Annals of Mathematical Modeling integrates authoritative reports on current mathematical, articles cover a wide range of topics, including mathematical analyses, probability, statistics, cybernetics, algebra, geometry, mathematical physics, wave propagation, stochastic processes, boundary value problems, linear operators, and number and function theory. The journal is a valuable resource for pure and applied mathematicians, statisticians, systems theorists and analysts, and information scientists.
Arjuna Subject : Matematika - Statistik dan Probabilitas
Articles 10 Documents
 1 
A PRODUCTIVE EXPOSITION FOR THE THERMAL POST BUCKLING PROBLEM OF ORTHOTROPIC CIRCULAR PLATES BY USING RELEVANT ADMISSIBLE FUNCTION FOR LATERAL DISPLACEMENT Nair, Anju V; Mohd Kasim, Abdul Rahman; Salleh, Mohd Zuki
Annals of Mathematical Modeling Vol 1, No 2 (2019)
Publisher : Annals of Mathematical Modeling

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (499.874 KB) | DOI: 10.33292/amm.v1i2.37

Abstract

A suitable mathematical formulation is used to study the thermal post buckling problem of orthotropic circular plates is presented herein. The total energy equation is reduced by assuming algebraic function for lateral displacement w. The radial tension per unit length is calculated by substituting the value of orthotropic parameter under simply supported and clamped boundary conditions. The thermal post buckling load carrying capacity of the plate is evaluated using integrated average for various values of orthotropic parameter ?, and the numerical results obtained from the present investigation are compared with the results obtained from the known literatures. The results obtained for both cases are concurs well with reference values and the numerical results using integrated average shows more accurate values for the post buckling load.
GENERALIZED POWER LAW MODEL OF BLOOD FLOW IN A STENOSED BIFURCATED ARTERY Ahmad Jamali, Muhammad Sabaruddin; Ismail, Zuhaila
Annals of Mathematical Modeling Vol 1, No 2 (2019)
Publisher : Annals of Mathematical Modeling

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (963.812 KB) | DOI: 10.33292/amm.v1i2.26

Abstract

Stenosis is a blockage caused by atherosclerosis literally lead to serious circulatory complaints, by narrowing the vessel wall and causing an alternation in the flow structure which consequently reduced the fluid flow passing to the other organs and tissues. This study, the geometry of the bifurcated is considered with presence of stenosis at mother and daughter artery. The blood vessel is modelled as a two-dimensional (2D) rigid wall since the wall of a disease artery is reported to be less compliant. The blood will be assumed as incompressible, laminar, steady and characterized as the generalized power-law model. Simulation result is obtained by using COMSOL Multiphysics 5.2, a software based on the FEM to solve the problem. Results concerning the effect of different blood rheology and severity of stenosis on the streamlines pattern are discussed.
MODEL PEMBELAJARAN COOPERATIF LEARNING TIPE STAD DALAM PELAJARAN MATEMATIKA UNTUK MENINGKATAN MOTIVASI DAN PRESTASI BELAJAR Hayati, Hayati
Annals of Mathematical Modeling Vol 1, No 1 (2019)
Publisher : Annals of Mathematical Modeling

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (223.895 KB) | DOI: 10.33292/amm.v1i1.31

Abstract

Penelitian ini bertujuan untuk mengetahui efektifitas model pembelajaran Kooperatif Tipe Student Teams Achievement Divisions (Stad) dalam meningkatkan motivasi dan prestasi belajar matematika di SDN Niten Tahun pelajaran 2017/2018. Jenis penelitian ini adalah penelitian Tindakan Kelas (PTK). Hasil penelitian menunjukkan bahwa peningkatan motivasi belajar peserta didik terhadap mata pelajaran matematika terlihat dari meningkatnya skor, dari 95 % siklus I ke 100% siklus II. Peningkatan prestasi belajar terlihat dari hasil post tes yaitu nilai rata-rata di atas KKM 75, pada siklus I 86,6 dan siklus II 82,45. Ketuntasan pada siklus I 90 % dan pada siklus II 80 %.Proses pembelajaran matematika dengan melalui penerapan model pembelajaran kooperatif learning tipe  STAD terbukti dapat meningkatkan motivasi belajar,dan prestasi belajar peserta didik kelas VI SD Negeri Niten tahun Pelajaran 2017/2018. Cooperative learning model type STAD in mathematics lesson to improve learning motivation and learning achievement AbstractThis study aims to determine the effectiveness of cooperative learning model type Student Teams Achievement Divisions (STAD) in improving motivation and achievement of mathematics learning at SDN Niten 2017/2018 academic year. The type of this research is Classroom Action Research (PTK). The results show that the application of cooperative learning model type STAD can improve motivation and learning achievement in mathematics learning. The learning motivationimprovement is seen from theincrease of students? scores, from 95% cycle I to 100% cycle II. The learning achievement improvement is seen from the post test result with mean valueabove the minimum passing grade 75, at cycle I is 86,6 and cycle II is 82,45. The completeness in cycle I is 90% and in cycle II is 80%. The application of cooperative learning model Type STAD in mathematics learning has been proven to increase learning motivation and learning achievement of sixth grade students of SD Negeri Niten 2017/2018 academic year.
EFFECTIVENESS OF PROBLEM POSING AND INVESTIGATION IN TERMS OF PROBLEM SOLVING ABILITIES, MOTIVATION AND ACHIEVEMENT IN MATHEMATICS Muzayyanah, Arifah; Wutsqa, Dhoriva Urwatul
Annals of Mathematical Modeling Vol 1, No 2 (2019)
Publisher : Annals of Mathematical Modeling

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (335.347 KB) | DOI: 10.33292/amm.v1i2.27

Abstract

The study aims at describing the comparison between the Problem-Posing Approach and the Investigation Approach in terms of effectiveness from the perspective of Mathematical Problem-Solving Skills, mathematical motivation and Mathematical Learning Achievements. The nature of the study is a quasi-experimental research. During the conduct of the study, the overall number of populations was 206 students from Grade VII of the State 2 Junior High School Gamping. The samples within the study were selected randomly from the population namely 32 students from Grade VII A and 34 students from Grade VII B. Then, the instrument that had been administered within the conduct of the study was the Mathematical Problem-Solving Skills Test, the Mathematical Learning Achievement Test and the Mathematical Learning Motivation Questionnaire. After the data had been gathered, the overall data were analysed by using the one-sample t-test, the T2 Hotteling?s Test and the independent sample t-test. The results of the study show that the learning process by means of Investigation Approach has been more effective in comparison to Problem-Posing Approach from the perspective of Mathematical Problem-Solving Skills and Mathematical Learning Achievement but, on the other hand, the results of the study also show that the learning process by means of Problem-Posing Approach has been more effective in comparison to Investigation Approach from the perspective of Mathematical Learning Motivation for the Grade VII students of the State 2 Junior High School Gamping.
PENGARUH PROBLEM-BASED LEARNING BERBASIS ETNOMATEMATIKA REJANG LEBONG TERHADAP KEMAMPUAN BERPIKIR KRITIS SISWA SMA Sarwoedi, Sarwoedi; Widada, Wahyu; Herawaty, Dewi
Annals of Mathematical Modeling Vol 1, No 1 (2019)
Publisher : Annals of Mathematical Modeling

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (158.81 KB) | DOI: 10.33292/amm.v1i1.39

Abstract

Penelitian ini bertujuan untuk mengetahui pengaruh problem based learning (PBL) berbasis etnomatematika Rejang Lebong terhadap Kemampuan Berpikir Kritis dan Pemecahan Masalah Siswa SMA Negeri Rejang Lebong. Penelitian ini adalah penelitian eksperimen semu. Populasi dalam penelitian ini adalah seluruh siswa kelas X SMA negeri 10 Lejang Lebong dengan sampel 4 kelas. Instrumen yang dalam penelitian ini adalah tes kemampuan berpikir kritis. Dari hasil penelitian dapat disimpulkan bahwa terdapat pengaruh  kemampuan awal siswa, model pembelajaran dan orientasi materi trigonometri secara bersama-sama terhadap kemampuan berpikir kritis yaitu dengan pengaruh sebesar 61,6%.
PENINGKATAN MINAT BELAJAR MATEMATIKA DENGAN MENERAPKAN MODEL PEMBELAJARAN KOOPERATIF TIPE PROBLEM-BASED LEARNING Widayat, Agung
Annals of Mathematical Modeling Vol 1, No 1 (2019)
Publisher : Annals of Mathematical Modeling

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (189.857 KB) | DOI: 10.33292/amm.v1i1.28

Abstract

Tujuan penelitian ini adalah (1) Mendeskripsikan minat belajar Matematika para peserta didik  yang diajar dengan model pembelajaran kooperatif tipe Problem Based Learning di MAN Kebumen 2 kelas XII IPA, (2) Mendeskripsikan penerapan model pembelajaran kooperatif tipe Problem Based Learning  yang benar/tepat dalam pembelajaran Matematika para peserta didik kelas XII IPA MAN Kebumen 2 yang dapat meningkatkan minat belajar (3) mendeskripsikan kelebihan dan kelemahan model pembelajaran kooperatif Problem Based Learning dalam meningkatkan minat belajar siswa kelas XII IPA MAN 2 Kebumen, (4) mendeskripsikan hasil analisis efektivitas penerapan pendekatan model pembelajaran kooperatif Problem Based Learning dalam meningkatkan minat belajar matematika siswa kelas XII IPA  MAN 2 Kebumen. Jenis penelitian ini adalah penelitian tindakan kelas sebanyak dua siklus. Setiap siklus terdiri dari perencanaan, pelaksanaan, pengamatan, dan refleksi. Subyek dari penelitian ini adalah siswa kelas XII IPA -2 MAN 2 Kebumen tahun 2017/2018. Data yang diperoleh dari instrumen minat belajar dan data observasi di kelas. Hasil penelitian menunjukkan, bahwa penerapan pembelajaran kooperatif Problem Based Learning dapat meningkatkan minat belajar matematika. Minat belajar yang dicapai  siswa meningkat, pada siklus I 20,59% meningkat pada siklus II menjadi  79,41%.  Enhancement of learning mathematics with applying cooperative learning model type problem based learning Abstract The purpose of this study are (1) Describe the interest in learning Mathematics of the learners who are taught by cooperative learning model type Problem Based Learning in MAN Kebumen 2 class XII IPA, (2) Describe the application of cooperative learning model of Problem Based Learning type correct / correct in learning Mathematics of students of class XII IPA MAN Kebumen 2 that can increase learning interest (3) describe the advantages and weaknesses of cooperative learning model Problem Based Learning in improving students' interest in class XII IPA MAN 2 Kebumen, (4) describe the results of analysis of effectiveness of application of model approach cooperative learning Problem Based Learning in increasing interest in learning mathematics class XII IPA MAN 2 Kebumen. This type of research is a classroom action research of two cycles. Each cycle consists of planning, execution, observation, and reflection. The subjects of this study are students of class XII IPA -2 MAN 2 Kebumen 2017/2018. Data obtained from learning interest instruments and observational data in the classroom. The results showed that the application of cooperative learning Problem Based Learning can increase interest in learning mathematics. Student learning achievement increased, in cycle I 20,59% increase in cycle II to 79,41%.
ERROR ANALYSIS FOR GRADE IX STUDENTS IN COMPLETING THE MATERIALS OF QUADRATIC EQUATION Sari, Ika Firmaningsih Dian Prima; Jailani, Jailani
Annals of Mathematical Modeling Vol 1, No 2 (2019)
Publisher : Annals of Mathematical Modeling

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (283.099 KB) | DOI: 10.33292/amm.v1i2.38

Abstract

The objective of the study is to discover: (1) types of errors that the students have committed; (2) the obstacles that the students have dealt with; and (3) the size of the errors that the students have committed. The nature of the study is qualitative and quantitative research. Then, within the conduct of the study, the research site was the Angkasa Adisucipto Junior High School located in Janti Street, Adisucipto Air Base, Caturtunggal, Depok, Yogyakarta. The subjects within the study were the students from Grade IX A, Grade IX B and Grade IX C from the Angkasa Adiscucipto Junior High School Yogyakarta. The data were gathered by using test administration, questionnaire distribution and documentation study. Then, the instruments that had been implemented within the conduct of the study were the essay test instrument and the questionnaire. The results of the study show that the errors that the Grade IX students from Angkasa Adisucipto Junior High School in completing the materials of Quadratic Equation from the perspective of conceptual understanding are namely: (1) the students have not correctly formulated the mathematical concepts by using the appropriate symbol or language; (2) the students have committed errors in composing the theorem or formula (whereas it has not been demand-ed in the test items); (3) the students have committed errors in composing the ABC formula when they are completing the test items; and (4) the students have not composed the theorem or the formula for completing the test items. Then, the five biggest obstacles in learning the materials of Quadratic Equation are namely: (1) classroom (64.06%); (2) students? capacity (46.25%); (3) material delivery (30.07%); (4) students? attitude and interest toward the materials of Quadratic Equation (29.24%); and (5) students? motivation (25.78%).
KEEFEKTIFAN TEAMS GAMES TOURNAMENT DAN MAKE A MACTH DALAM MENINGKATKAN HASIL BELAJAR MATEMATIKA Nurwidia, Anita; Haryanto, Samsi; Mulyoto, Mulyoto
Annals of Mathematical Modeling Vol 1, No 1 (2019)
Publisher : Annals of Mathematical Modeling

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (190.225 KB) | DOI: 10.33292/amm.v1i1.29

Abstract

Tujuan penelitian ini adalah (1) Untuk mengetahui perbedaan pengaruh penerapan model Teams Games Tournament dan Make A Macth terhadap hasil belajar Matematika; (2) Untuk mengetahui perbedaan pengaruh siswa yang memiliki aktivitas tinggi dengan siswa yang memiliki aktivitas rendah terhadap hasil belajar Matematika; dan (3) Untuk mengetahui interaksi pengaruh model Teams Games Tournament dan Make A Macth dengan aktivitas belajar tinggi dan rendah terhadap hasil belajar Matematika. Penelitian ini merupakan penelitian ekspererimen. Teknik pengumpulan data menggunakan kuesioner dan soal tes pilihan ganda. Analisis data yang digunakan adalah analisis varians dua jalan. Hasil penelitian menunjukkan: (1) Terdapat perbedaan pengaruh model Teams Games Tournament dan Make A Macth terhadap hasil belajar Matematika (2) Terdapat perbedaan pengaruh siswa yang memiliki aktivitas tinggi dan rendah terhadap hasil belajar Matematika. (3) Tidak terdapat interaksi pengaruh model Teams Games Tournament dan Make A Macth dengan aktivitas belajar tinggi dan rendah terhadap hasil belajar Matematika. The methode of effectivenses teams games tournament and make a match to encourage the result of mathematics seem fromactivities study  AbstractThe purpose of this study are (1) To know whether there were the differences of influences of the Teams Games Tournament  and Make A Match  methods for the result study of mathematics; (2) To know whether there were the differences the influences the activities study were high and low for the result study of mathematics; and (3) To know whether there were the influences of interaction Teams Games Tournament and Make A Match methods also the activities study were high and low for the result study of mathematics . This research is a eksperiment research. Data collection techniques used questionnaires and multiple choice test questions. Data analysis used is anava two way. The results showed: (1) there were the differences of influences methods for Teams Games Tournament and Make A Match. The learning methods Make A Match more good to improve the result study of mathematics then learning methods Teams Games Tournament. (2) there were the differences of students? influences that had high activities with low activities on the result study of mathematics. Based on the analyse result, the high students? activities more good to improve the result study of mathematics then the low students; activities (3) there were not the interaction of the influences learning methods Teams Games Tournament and Make A Match with the activities study on the result study of mathematics
UNSTEADY MHD FREE CONVECTIVE FLOW PAST A VERTICAL PLATE: AN AUTOMATED SOLUTION APPROACH Mohmad Asimoni, Nor Raihan; Mohammad, Nurul Farahain; Kasim, Abdul Rahman Mohd
Annals of Mathematical Modeling Vol 1, No 2 (2019)
Publisher : Annals of Mathematical Modeling

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (388.231 KB) | DOI: 10.33292/amm.v1i2.32

Abstract

The case of unsteady two-dimensional laminar free convection flow over a vertical plate by an incompressible viscous fluid is analysed in the presence of uniform magnetic field perpendicular to the flow. The governing equations in a vector form are transformed into non-dimensional form. Then, the dimensionless equations are solved using automated solution technique which is FEniCS. The effects of magnetic parameter on the velocity and temperature profiles are obtained and discussed in this paper.
PENGARUH KEDISIPLINAN, PERHATIAN ORANG TUA DAN JUMLAH SAUDARA TERHADAP PRESTASI BELAJAR MATEMATIKA Budiono, Eko
Annals of Mathematical Modeling Vol 1, No 1 (2019)
Publisher : Annals of Mathematical Modeling

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (181.909 KB) | DOI: 10.33292/amm.v1i1.30

Abstract

Penelitian bertujuan untuk mengetahui : (1) pengaruh kedisiplinan siswa terhadap prestasi belajar Matematika, (2)  pengaruh perhatian orang tua terhadap prestasi belajar matematika, (3) pengaruh jumlah saudara terhadap prestasi belajar matematika siswa, (4) pengaruh kedisiplinan, perhatian orang tua dan jumlah saudara terhadap prestasi belajar matematika siswa kelas XII SMK Taman Karya  Kabupaten Purworejo Penelitian ini menggunakan pendekatan kuantitatif. Populasi adalah siswa kelas XII SMK TKM Teknik Tamansiswa di Kabupaten Purworejo berjumlah 360 siswa. Sampel diambil dengan teknik proportional random sampling dan terpilih sampel 158 siswa. Pengumpulan data menggunakan angket, sebelumnya dilakukan uji validitas dan reliabilitas. Analisis data menggunakan analisis deskriptif, pengujian prasyarat analisis. Pengujian hipotesis menggunakan teknik product moment dan regresi linier. Hasil penelitian (1) terdapat pengaruh positif yang signifikan antara variabel kedisiplinan siswa terhadap prestasi belajar matematika pada siswa SMK TKM Teknik Tamansiswa Purworejo. (2) terdapat pengaruh positif yang signifikan antara perhatian orang tua terhadap prestasi belajar matematika pada siswa SMK TKM Teknik Tamansiswa Purworejo. (3) terdapat negatif yang signifikan antara jumlah saudara terhadap prestasi belajar matematika pada siswa SMK TKM Teknik Tamansiswa Purworejo (4) terdapat pengaruh positif yang signifikan antara kedisplinan siswa perhatian orang tua dan jumlah saudara terhadap prestasi belajar matematika pada siswa SMK TKM Teknik Tamansiswa Purworejo. Besarnya todal sumbangan efektif variabel bebas adalah 65,5 % meliputi kedisiplinan siswa 43,7 %, perhatian orang tua 32,3 % dan jumlah saudara -10,5 %. Sumbangan relatif kedisiplinan siswa 66,7 %, perhatian orang tua 49,3 % dan jumlah saudara ? 16,0 % sehingga total adalah 100 %. Influence of discipline, parent's attention and number of brothers on mathematics learning achievement AbstractThe study aims to determine: (1) the influence of student discipline on Mathematics learning achievement, (2) the influence of parental attention on mathematics learning achievement, (3) the influence of the number of siblings on student mathematics learning achievement, (4) the influence of discipline, parental attention and the number of siblings towards mathematics learning achievement of students of class XII SMK Taman Karya Purworejo Regency This study used a quantitative approach. The population is students of class XII Tamansiswa Technical TKM Vocational School in Purworejo Regency, amounting to 360 students. Samples were taken by proportional random sampling technique and selected samples of 158 students. Data collection uses questionnaires, previously tested the validity and reliability. Data analysis used descriptive analysis, analysis prerequisite testing. Hypothesis testing uses product moment techniques and linear regression. The results of the study (1) there is a significant positive effect between the students' disciplinary variables on mathematics learning achievement in the Vocational School students of Tamansiswa Purworejo Technical TKM. (2) there is a significant positive effect between parental attention to mathematics learning achievement on SMK students of Tamansiswa Purworejo Technical TKM. (3) there is a significant negative between the number of siblings towards mathematics learning achievement in Tamansiswa Purworejo Vocational School TKM students (4) there is a significant positive influence between students 'discipline of parents' attention and number of siblings on mathematics learning achievement in Tamansiswa Purworejo Vocational School TKM students. The magnitude of the effective contribution of the independent variable is 65.5% including student discipline 43.7%, the attention of parents 32.3% and the number of siblings -10.5%. The relative discipline of students contributed 66.7%, the attention of parents was 49.3% and the number of siblings - 16.0% so the total was 100%.

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