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Annals of Mathematical Modeling
Published by Research and Social Study Institute
ISSN : 72157822     EISSN : 72157822     DOI : 10.33292
Core Subject : Science, Education,
Computer Science & IT Mathematics
nnals 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 - Matematika Komputer
Articles 24 Documents
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Peningkatan minat belajar matematika dengan menerapkan model pembelajaran kooperatif tipe problem-based learning Agung Widayat
Annals of Mathematical Modeling Vol 1, No 1 (2019)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | 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%.
A review on the fluid structure interaction of circular plates using numerical methods Anju V Nair; Abdul Rahman Mohd Kasim; Mohd Zuki Salleh
Annals of Mathematical Modeling Vol 2, No 2 (2020)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i2.89

Abstract

Fluid structure interaction is a nonlinear multi physics phenomenon that have wide range of applications in science and engineering fields. This article presents the development of numerical methods to solve the fluid structure interaction problem deals with the vibration analysis of plate structures in contact with fluid. The modeling of fluid and structure are essential to study the fluid structure interaction problems. The development of suitable mathematical models and their validation are discussed herewith.
Error analysis for grade IX students in completing the materials of quadratic equation Ika Firmaningsih Dian Prima Sari; Jailani Jailani
Annals of Mathematical Modeling Vol 1, No 2 (2019)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | 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%).
Effects of Blum’s phase based instruction on the mathematical modelling abilities among year 5 pupils Harsharanjit Kaur; Kwan Eu Leong
Annals of Mathematical Modeling Vol 2, No 1 (2020)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.67

Abstract

Skills required by pupils for the 21st century differ from what was required twenty years back. The results of the 21st century concentrates on the abilities and knowledge pupils must learn to be successful in college, life and work. In order to do this, pupils should be taught to master critical thinking skills. The effective way is by including modelling in their syllabus. In mathematics learning, mathematical modelling deals with modelling and application in mathematics teaching, characterising pupils’ modelling abilities and application of modelling activities toward building their competencies. In this study, seventy fifth grade pupils from a school in Selangor, Malaysia, were chosen as the participants. Quantitative approach was used in this study. These pupils were selected using convenience sampling procedure. Open ended tasks based on some real-world problems were given to the pupils. Their answers were assessed using a rubric score table. The scores ranged from 1 to 3 and there was explanation in each score to give marks to their answers. descriptive statistics and Analysis of Covariance (Ancova) were used for answering the research questions. The findings showed that the pupils in the experimental group performed very well in their modelling task whereas pupils in the control group could not perform well in the modelling task.
Keefektifan teams games tournament dan make a macth dalam meningkatkan hasil belajar matematika Anita Nurwidia; Samsi Haryanto; Mulyoto Mulyoto
Annals of Mathematical Modeling Vol 1, No 1 (2019)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | 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
Mathematical analysis of SLIPR infectious model without vaccination: A case study of measles outbreaks Fuaada Mohd Siam; Hanis Nasir
Annals of Mathematical Modeling Vol 2, No 2 (2020)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i2.73

Abstract

A five-compartment epidemiological model is analyzed to illustrate the dynamics of infectious diseases. In this model, the population is compartmented into susceptible, latent, infected, post-infection, and recovered. The model is a system of ordinary differential equations, where the stability is analyzed using Routh’s stability criterion. Two equilibrium points; disease-free and endemic equilibrium are stable but depends on the basic reproduction number. Derivation of the basic reproduction number is given using the next-generation method. This study ended by providing a case study of measles outbreaks before the effective implementation of the vaccine. The analysis of data fitting is done by using the Simulated Annealing minimization routine and the error value is 0.0406.
Unsteady MHD free convective flow past a vertical plate: An automated solution approach Nor Raihan Mohmad Asimoni; Nurul Farahain Mohammad; Abdul Rahman Mohd Kasim
Annals of Mathematical Modeling Vol 1, No 2 (2019)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | 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.
Students' cognitive processes in understanding the application of derivatives Wahyu Widada; Dewi Herawaty; Wayan Gede; Khatibul Umam Zaid Nugroho; Abdurrobbil Falaq Dwi Anggoro; Shadaqnas Dewarif Tri Anggoro
Annals of Mathematical Modeling Vol 2, No 1 (2020)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.69

Abstract

Derivatives are one of the objects of calculus that is difficult for students to learn. The purpose of this study was to describe the cognitive processes of students in understanding the application of derivatives. This is a qualitative research involving one subject with the initials L. The main instrument of this research is the researcher who is guided by an assignment sheet and an interview guide. Data collection was carried out through task-based interviews. To get complete and accurate data recorded through audiovisual. Data were analyzed descriptively through genetic decomposition based on APOS (action-process-object-schema) theory. The results of this study are that L can coordinate the process-object of all the properties of a given function, with adjacent or overlapping intervals in all h domains so that a mature scheme of function graph sketches is formed. So that an accurate function graph sketch is obtained. The conclusion is that L's cognitive process of applying derivatives is at a high level. It's a trance level.
Pengaruh kedisiplinan, perhatian orang tua dan jumlah saudara terhadap prestasi belajar matematika Eko Budiono
Annals of Mathematical Modeling Vol 1, No 1 (2019)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | 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%.
The understanding abilities of real number concepts for primary school student Khathibul Umam Zaid Nugroho; Saleh Haji
Annals of Mathematical Modeling Vol 2, No 2 (2020)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i2.86

Abstract

The purpose of this study was to determine the characteristics of relational elementary students in understanding the concept of real numbers. This research is an exploration of the research subject. The subjects of this study were students of MIN 2 Bengkulu Selatan. There is one realistic student in this research. The researcher is the main instrument in this research which is supported by an interview guide and an assignment sheet on the concept of real numbers. The data were analyzed qualitatively. The results of this study are that students with relational abilities can combine separate pieces of information to produce the completion of a task. Therefore it is suggested to teachers and researchers of mathematics education to explore students' mathematical cognitive processes before determining the learning strategies to be carried out.

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