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Annals of Mathematical Modeling
ISSN : 72157822     EISSN : 72157822     DOI : 10.33292
Core Subject : Science, Education,
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.
Articles 24 Documents
A productive exposition for the thermal post buckling problem of orthotropic circular plates by using relevant admissible function for lateral displacement Anju V Nair; Abdul Rahman Mohd Kasim; Mohd Zuki Salleh
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.v1i2.37

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 β, 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 Muhammad Sabaruddin Ahmad Jamali; Zuhaila Ismail
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.v1i2.26

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.
Numerical evaluation for two-dimensional integral using higher order Gaussian quadrature Suzarina Ahmed Sukri; Yeak Su Hoe; Taufiq Khairi Ahmad Khairuddin
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.v2i1.70

Abstract

Presented in this paper is a computational approach that uses higher order Gaussian quadrature to improve the accuracy of the evaluation of an integral. The transformation from space (standard Gaussian) to st space (higher order Gaussian) were shown throughout this paper. Not even that, the efficacy of this higher order Gaussian quadrature were tested by implementing and comparing it with standard Gaussian quadrature over the same integral. Results shown that the evaluation of an integral by using higher order Gaussian quadrature provide accurate and converge results compared to an integral using standard Gaussian quadrature.
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 : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | 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.
Mathematics Learning and Teaching Directed to Process Construction Li Yaqiong; Wenbin Xu; Xu Yiwen; Liu Bao
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.v2i2.99

Abstract

The Theory of Meaningful Learning shows that: to achieve the best learning effect, new knowledge should establish a non-arbitrary and substantial relationship with the existing knowledge in the learner’s cognitive structure, and the focus of the construction of the learning process is to combine the relationship between learning and teaching factors. Therefore, through the description of the application process of "Mathematics Induction", this article draws practical reflection: the process of mathematics learning requires learners to pay attention to real experience, independent thinking, and learning reflection, which inspires teachers to pay attention to in teaching: through creating appropriate problem situation and using appropriate teaching resources, they should pay attention to the time sequence of teaching, and guide students appropriately to take the initiative in discovering learning. In this process, students are guided to actively sort out, integrate and apply knowledge. Through a reasonable learning process experience, students can construct knowledge structure in an orderly manner, improve the quality of thinking, improve the ability to analyze and solve problems, and realize the pedagogical significance of subject teaching.
Analytical solution of telegraph equations by variational iteration method Aisha Awais
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.v2i1.64

Abstract

In this paper, the variational iteration method (VIM) is utilized for the solution of telegraph equations, which emerge in the propagation of electrical signals along a broadcast line. The suggested method is progressively effective and simpler to deal with as contrast with the decomposition method. Numerical outcomes demonstrate the effectiveness and exactness of the proposed VIM.
Effectiveness of problem posing and investigation in terms of problem solving abilities, motivation and achievement in mathematics Arifah Muzayyanah; Dhoriva Urwatul Wutsqa
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.v1i2.27

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.
The development and validation literacy scale for pre-service mathematics teachers Ying Zhou; Xiaofeng Lan
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.v2i2.88

Abstract

The 21st century is an era in which education determines the future of society. The relevant theoretical research on core literacy is mainly carried out around students, and the research on the core literacy of pre-service mathematics teachers in ethnic areas has not yet begun. By consulting literature and existing mature questionnaires, combined with pre-service mathematics teachers' characteristics in ethnic areas, a "core literacy scale of pre-service mathematics teachers in ethnic areas" was compiled. Taking 412 pre-service mathematics teachers in Guangxi, China as the research object, using SPSS22.0 and AMOS24.0 to carry out project analysis, exploratory factor analysis, and confirmatory factor analysis on the data, the scale was revised accordingly, and the formal scale contains knowledge There are 3 dimensions of, ability, character, and the corresponding 9 factors. The scale compiled has good reliability and validity. It can be used as an effective tool to measure the core literacy of pre-service mathematics teachers in ethnic areas, and it also provides a basis for in-depth research on the current situation and strategies of training the core literacy of pre-service mathematics teachers in ethnic areas.
Pengaruh problem-based learning berbasis etnomatematika Rejang Lebong terhadap kemampuan berpikir kritis siswa SMA Sarwoedi Sarwoedi; Wahyu Widada; Dewi Herawaty
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.v1i1.39

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%.
Stability analysis of predator-prey model with stage-structured and the effect of harvesting Noorehan Yaacob; Faridah Mustapha
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.v2i1.65

Abstract

Abstract Predator-prey model is the study to show the interaction between prey and predator. A stage-structured model is introduced where the mature and immature of the species is considered. Also, the effect of harvesting is taken into account for sustainable development. The model in this paper is explained by using the ordinary differential equations to show the dynamic behavior of the predator and prey. Hence, the predator-prey model with stagestructured in prey with the effect of harvesting in predator is considered in this paper. In analyzing the model, the stability of the equilibrium point is obtained and described by using the properties of eigenvalues and Routh-Hurwitz criteria. Finally, numerical simulations are given to verify the analytical results with the help of graphical illustrations.

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