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Annals of Mathematical Modeling
Published by Research and Social Study Institute
ISSN : -     EISSN : 27157822     DOI : https://doi.org/10.33292/amm
Core Subject : Science, Education,
Computer Science & IT Mathematics
Annals of Mathematical Modeling is a peer-reviewed open-access journal that publishes educational research articles in mathematics education. Every submitted manuscript will be reviewed by at least two peer-reviewers using the double-blind review method. This journal is published biannually
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 25 Documents
 1   2   3 
Analytical Solution of Telegraph Equations by Variational Iteration Method Aisha Awais
Annals of Mathematical Modeling Vol. 2 No. 1 (2022)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.11

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.
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 (2022)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.14

Abstract

Predator-prey model is the study to show the interaction between prey and preda- tor. 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 stage- structured 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.
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 (2022)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.15

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.
Students' cognitive processes in understanding the application of derivatives Wahyu Widada; Dewi Herawaty; Wayan Gede; Khathibul Umam Zaid Nugroho; Abdurrobbil Falaq Dwi Anggoro; Shadaqnas Dewarif Tri Anggoro
Annals of Mathematical Modeling Vol. 2 No. 1 (2022)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.16

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.
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 (2022)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i1.17

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 ξη 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.
Mathematical analysis of SLIPR infectious model without vaccination: A case study of measles outbreaks Fuaada Mohd Siam; Hanis Nas
Annals of Mathematical Modeling Vol. 2 No. 2 (2022)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i2.18

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.
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 (2022)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i2.19

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.
The development and validation literacy scale for pre-service mathematics teachers Xiaofeng Lan; Ying Zhou
Annals of Mathematical Modeling Vol. 2 No. 2 (2022)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i2.20

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.
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 (2022)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i2.21

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.
Mathematics learning and teaching directed to process construction: reflection on the application of mathematical induction Yaqiong Li; Wenbin Xu; Yiwen Xu; Bao Liu
Annals of Mathematical Modeling Vol. 2 No. 2 (2022)
Publisher : Research and Social Study Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33292/amm.v2i2.23

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.

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