Bulletin of Applied Mathematics and Mathematics Education
BAMME welcomes high-quality manuscripts resulted from a research project in the scope of applied mathematics and mathematics education, which includes, but is not limited to the following topics: Analysis and applied analysis, algebra and applied algebra, logic, geometry, differential equations, dynamical system, fuzzy system, etc. Graph theory, combinatorics, number theory, coding theory, cryptography, etc. Mathematical modeling in economics, physics, biology, medicine, engineering, control theory and automation, optimization, operational research, neural network, data science, machine learning, etc. Applied statistics and probability, finance mathematics, biostatistics, actuary, etc. RME-based mathematics education. Development studies in mathematics education. Mathematics Ability, includes the following abilities: reasoning, connection, communication, representation, and problem solving. Ethnomathematics, the results of research on the relationship between mathematics and culture practiced by members of cultural groups who share experiences and practices similar to mathematics that can be in a unique form. Application of ICT in mathematical learning and the design, development, and evaluation of the implementation or application of learning media.
Articles
50 Documents
Identification of cross-equatorial northerly surge (CENS) relationship to very heavy rain events in Jakarta
Lestari, Tri Anggun;
Athallah, M. Syauqi B.;
Haryanto, Yosafat D.
Bulletin of Applied Mathematics and Mathematics Education Vol. 3 No. 1 (2023)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v3i1.7340
CENS is a meteorological phenomenon in the form of surface wind flow originating from the South China Sea (SCS), very strongly across the equator. CENS is closely related to the increase in average rainfall in parts of Indonesia. There has been very heavy rainfall on January 18, 2022 in the Jakarta area which resulted in flooding. Therefore, this study focuses on seeing if there is a CENS relationship that is factor in increasing rainfall in the Jakarta area on January 18, 2022. The results showed that the NCS began to form on January 16-17, 2022 with a Siberian High of 1040.6 hPa and the propagation of cold air masses from Asia to the south which was an indicator of CENS. The next day, the CENS phenomenon began to occur, characterized by meridional wind speeds in the 105˚- 115˚BT region of less than -5 m/s. This phenomenon triggers the strengthening of the northeast Asian monsoon flow so that the area south of the equator, including Jakarta, gets a large moisture transport from the SCS. This causes the potential for the formation of high convective clouds to trigger very heavy rain and cause flooding in the Jakarta area on January 18, 2022.
The influence of mathematical disposition and gender on the numerical ability of Grade X students of SMAN 1 Bae Kudus
Mutiara, Sela;
Wahyuni, Fina Tri
Bulletin of Applied Mathematics and Mathematics Education Vol. 3 No. 1 (2023)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v3i1.7709
The background of this study is the lack of mathematical disposition of students and different genders towards the numerical abilities of class X students of SMAN 1 Bae Kudus. This study aims to (1) determine the influence of mathematical disposition on the numerical abilities of class X students of SMAN 1 Bae Kudus; (2) knowing the influence of gender on the numerical ability of class X students of SMAN 1 Bae Kudus; (3) knowing the influence of mathematical and gender dispositions together on the numerical abilities of class X students of SMAN 1 Bae Kudus. The types and approaches of research used are correlation and quantitative. This study was conducted in class XE8 involving 32 students. The results showed that: (1) there was a positive and significant influence of mathematical disposition on numerical ability with a significant contribution of 0.000 < from 0.05, (2) there was no positive and significant influence of gender on numerical ability because the significance value was 0.975 > 0.05, and (3) there is a positive influence and the significant mathematical disposition and gender together to the numerical ability of significance values of 0.000 < 0.05 and a percentage of 61.1%.
Hall current effects on a fully developed combined convection flow in a vertical channel: A study of heat transfer
Bala, A. Jyothi
Bulletin of Applied Mathematics and Mathematics Education Vol. 3 No. 2 (2023)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v3i2.7975
This paper the effect of magnetic field on free and forced convection flow between two vertical parallel plates is studied. The flow is assumed to be steady and fully developed. The vertical walls are kept at different uniform temperatures. The expression for velocity and bulk temperature are obtained in magnetic and in non-magnetic cases. Hall current effect plays a significant role in determining the flow pattern of an incompressible, viscous, conducting fluid under the influence of an external magnetic field. The effects of magnetic parameter or Hartmann number M, ratio of wall temperature differences (rT), ratio of Grashoff number and Reynolds number , the pressure gradient and the hall parameter (m) is studied numerically on velocity and bulk temperature.
Investigating the 8th-grade Afghan students’ mathematics status and skills using the cognitive diagnostic model
Wafa, Mohammad Nasim
Bulletin of Applied Mathematics and Mathematics Education Vol. 3 No. 1 (2023)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v3i1.8964
Cognitive diagnostic models (CDMs) are multidimensional multivariate verification flow models with complex structure. In this research, these models were used to investigate the status of eighth grade high school students in mathematics using the TIMMS questionnaire. The cognitive diagnostic test based on 13 attributes including 32 questions was conducted on a sample of 274 students who were selected based on the multi-stage cluster sampling method among the students of Firuzkoh city. IRT and RESMA models were used to determine the psychometric properties of the questions. Data analysis using DINA and DINO models in cognitive diagnostic modeling of mathematics showed that 13 attributes explain the mathematical performance of eighth-grade students. The result shows that Afghan students have a weak mastery level in most attributes compared to 45 other countries (the countries that were included in the TIMMS questionnaire) also general results show that the examinees perform better in the field of numbers (0.49), while they perform worse in data and chance (0.12). Moreover, there exists some difference in estimating item parameters under the DINA and DINO models, such as Item 3 and Item 27. One possible explanation is that the DINA model is completely compensatory while the DINO model is fully non-compensatory. Similar to the results under the DINA model, the SEs of guessing parameters are lower than those of slipping parameters under the DINO model.
The zero-sum discrete-time feedback linear quadratic dynamic game: From two-player case to multi-player case
Musthofa, Muhammad Wakhid;
Engwerda, Jacob
Bulletin of Applied Mathematics and Mathematics Education Vol. 4 No. 1 (2024)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v4i1.9351
The two-person zero-sum discrete-time feedback linear quadratic dynamic game is considered. A method that provides a saddle-point for the zero-sum discrete dynamic game is developed to derive a necessary and sufficient condition under which the game has a feedback saddle-point solution. Existence solutions, which are described in terms of a sequence of nonnegative definite algebraic Riccati matrices, are constructed. Next, a generalization of such a game to a multi-player case is studied. Using the results in a two-person case, the characterization of a feedback saddle-point solution for the multi-player game is derived.
A mathematical model of meningitis with antibiotic effects
Ginting, Rini Sania br;
Adi, Yudi Ari
Bulletin of Applied Mathematics and Mathematics Education Vol. 3 No. 1 (2023)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v3i1.9475
The mathematical model in this study is a SCIR-type meningitis disease spread model, namely susceptible (S), carrier (C), infected (I), and recovery (R). In the model used, there are two equilibrium points, namely the disease-free equilibrium point and the endemic equilibrium point. The conditions and stability of the equilibrium point are determined by the basic reproduction number, which is the value that determines whether or not the spread of meningitis infection in a population. The results of this study show that the stability of the disease-free equilibrium point and the endemic equilibrium point are locally asymptotically stable and by using the Lyapunov Function method it is found that the disease-free equilibrium point will be globally stable when, while the endemic equilibrium point will be globally stable when numerical simulations perform to support the theoretical results.
Reviewing curriculum towards ASIIN international accreditation using analytical hierarchy process
Mulyanto, Angga Dwi;
Suheriyanto, Dwi;
Jannah, Akyunnul;
Kusumadewi, Tarranita;
Harini, Sri;
Susanti, Elly
Bulletin of Applied Mathematics and Mathematics Education Vol. 3 No. 1 (2023)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v3i1.9551
This research focuses on studying the curriculum of three study programs at the Faculty of Science and Technology, namely Biology, Informatics Engineering and Architectural Engineering. The purpose of this research is to see how ready the curriculum of the 3 study programs is to be submitted as ASIIN international accreditation material. The method used to measure curriculum readiness is using AHP. The results of this study are that from 3 study programs that have been assessed using AHP, the study program that is most ready for its curriculum is Informatics Engineering with a readiness of 73.4%, followed by Architectural Engineering, and after that Biology.
Support Vector Regression optimization with Particle Swam Optimization algorithm for predicting the gold prices
Selviani, Novi;
Purwadi, Joko
Bulletin of Applied Mathematics and Mathematics Education Vol. 3 No. 2 (2023)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v3i2.9561
This paper discusses about how to predict the gold prices from 1 January 2021 to 31 January 2023. The method used in this study is the Support Vector Regression (SVR) technique, method that was developed from the support vector machine which is used as regression approach to predict future event. From the past study already know that SVR had limitation in achieving good performance because of its sensitivity to parameters. To overcome the SVR performance problems, an optimization algorithm is proposed in this study. The PSO algorithm is applied in this study to optimize the parameters of the SVR method. The results showed that the prediction of the SVR model obtained an MSE value of 0.0035744. While in the SVR model with the PSO algorithm, the MSE value is 0.0033058.
Evaluating interactive e-module for contextual teaching and learning linear equation in one variable
Rachmawati, Lina;
Rusmining, Rusmining
Bulletin of Applied Mathematics and Mathematics Education Vol. 3 No. 2 (2023)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v3i2.9825
This research is motivated by the lack of teaching materials used in the mathematics learning process. On the other hand, students still struggle to solve story problems related to contextual issues. Therefore, this research aims to develop a product in the form of an interactive E-Module based on Contextual Teaching and Learning (CTL) for 7th-grade students and to evaluate the validity and practicality of the product. This type of research is developmental research using the ADDIE research model (Analyze, Design, Development, Implementation, & Evaluation). The results of the research show that the assessment of the interactive E-Module obtained an average score of 3.68 by subject matter experts with a category of very valid and an average of 3.6 by media experts with a category of very valid. Meanwhile, for student responses, it obtained a percentage of 90.72% in the small-scale trial with very practical criteria and a percentage of 85.95% with very practical criteria in the large-scale trial. Based on these results, it can be concluded that the interactive e-module based on CTL is strongly valid and very practical, making it suitable for use in learning.
Identification of fingerprint image with Minkowski distance algorithm approach
Tulloh, Wisnu Catur Rachmad;
Wijayanti, Dian Eka
Bulletin of Applied Mathematics and Mathematics Education Vol. 3 No. 2 (2023)
Publisher : Universitas Ahmad Dahlan
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DOI: 10.12928/bamme.v3i2.9949
In the digital era, fingerprint identification plays a critical role in information technology administration. Various studies have been conducted to improve the fingerprint identification process, but there are still cases of identification failures that are fatal. This research discusses fingerprint identification with the Minkowski distance method. The data of fingerprints are taken from Mathematics students and the Kaggle site. Data analysis includes the steps of image retrieval, dimensioning, conversion to grayscale, pattern matching, and accuracy measurement. Results show an improvement in data accuracy with a structured approach to data capture and preprocessing. Results from primary data obtained an accuracy of 56.67% while from secondary data obtained an accuracy of 93%.