Mathematical Study Research Articles

ANALISIS MODEL PENGGUNAAN DOMPET DIGITAL PADA KALANGAN MAHASISWA PROGRAM STUDI MATEMATIKA FMIPA UNIVERSITAS TANJUNGPURA

Due to changes in the payment system caused by technological advancements in Indonesia, Bank Indonesia developed the Indonesia Payment System Blueprint 2025. This formulation focuses on initiatives to create a robust ecosystem that will steer the growth of digital finance in Indonesia, which is the ultimate goal of Bank Indonesia's long-term policy orientation. Bank Indonesia established the National Non-Cash Movement to provide a safe, effective, and seamless payment system. The purpose of this study is to examine the model of digital wallet usage and interpret the use of digital wallets among mathematics students at FMIPA Tanjungpura University. The modeling process begins with selecting parameters and forming assumptions to produce a mathematical model in the form of differential equations, finding equilibrium points, and conducting simulations. Data were obtained from questionnaires about the use of digital wallets distributed to 137 mathematics students in 2019–2022. Interpretation of the model of digital wallet usage among students of the Mathematics Study Program FMIPA Tanjungpura University obtained a cash payment-free equilibrium point obtained as = (,,) = (20.550,0,0) and obtained that the population of students who have the potential to use digital wallets has increased and the population of students who use cash payments has also increased due to the factor of digital wallet balances that have run out and make payments in cash, resulting in a decrease in the population of students who have used digital wallets.

Worldwide predictors of science literacy in lower-secondary students: a TIMSS 2019 analysis

ABSTRACT In today's technologically advanced and environmentally challenging landscape, enhancing global scientific literacy is increasingly imperative. A solid grasp of scientific principles is vital for fostering innovation and achieving sustainable development worldwide. Utilizing data from the International Association for the Evaluation of Educational Achievement (IEA) Trends in International Mathematics and Science Study (TIMSS), this study inquiries into various factors impacting grade eight students' science literacy in the TIMSS 2019 assessment. Exploring student socioeconomic status, cultural background, attitudes towards science, school organisation, teacher experiences, and country-level variables, we aimed to identify predictive associations with science literacy. Additionally, we correlated TIMSS 2019 results with the United Nations Development Program's Human Development Index (HDI). Employing three-level Hierarchical Linear Modeling, we assessed which student, teacher, and country-level variables were linked to grade 8 science literacy. Results indicate that the students' socioeconomic resources and motivation/confidence in science positively influence science literacy. Conversely, a higher percentage of science items covered in national curricula was weakly associated with lower science literacy scores. Teachers reporting greater teaching limitations due to student needs showed negative correlations with science scores. At the country level, the HDI emerged as the strongest correlate with grade 8 science literacy. These findings underscore the multifaceted nature of science literacy and its interplay with various socio-cultural and educational factors on a global scale.

Analisis Kesalahan Mahasiswa Dalam Menyelesaikan Soal Pembuktian Teorema Binomial Pada Sifat Simetrik

This research was conducted to observe students' error in working on problems proving the binomial theorem on the symmetric properties of binomial coefficients. This type of research is qualitative research. This research uses a test method, namely by working on questions followed by interviews. This research involved students from the Tadris Mathematics Study Program at Al Falah As Sunniyah Kencong Jember University in the second semester of the 2023/2024 academic year with a total of 17 students. The 17 students were grouped into 3 cognitive abilities, namely high, medium and low cognitive. The subjects of this research consisted of three students with each student representing each cognitive ability group. The results of the research show that the types of language interpretation errors are made by subjects with high and moderate cognitive abilities, namely not writing the correct sentences when drawing conclusions. Conceptual errors were made by subjects with medium and low cognitive abilities in the form of errors in the proof steps. Procedural errors were made by subjects with moderate and low cognitive abilities, namely not having carried out complete calculations when applying the theorem in numerical form. Technical errors were made by subjects with low cognitive abilities, namely writing the same steps repeatedly. Errors in drawing conclusions were made by subjects with high, medium and low cognitive abilities. The three subjects considered the verification process to be complete. All errors are caused by a lack of understanding of the concept, carelessness in the proof process and not being careful in reading the questions.

A transdisciplinary study of a novice mathematics teacher’s instructional decision-making

A transdisciplinary study of a novice mathematics teacher’s instructional decision-making

Validation of Math Model Using Porous Media for Determining Alveolar CO 2 in Ventilated Patients.

To validate a mathematical model using porous media theory for alveolar CO2 determination in ventilated patients. Mathematical modeling study with prospective clinical validation to simulate CO2 exchange from bloodstream to airway entrance. ICU. Thirteen critically ill patients without chronic or acute lung disease. None. Model outcomes compared with patient data showed correlations for end-tidal CO2 (EtCO 2 ), area under the CO2 curve, and Pa CO2 of 0.918, 0.954, and 0.995. Determination coefficients ( R2 ) were 0.843, 0.910, and 0.990, indicating precision and predictive power. The mathematical model shows potential in pulmonary critical care. Although promising, practical application demands further validation, clinician training, and patient-specific adjustments. The path to clinical use will be iterative, involving validation and education.

Teacher-centered analysis with TIMSS and PIRLS data: weighting approaches, accuracy, and precision

This paper extends existing work on teacher weighting in student-centered surveys by looking into aspects of practical implementation of deriving and using weights for teacher-centered analysis in the Trends in International Mathematics and Science Study (TIMSS) and the Progress in International Reading Literacy Study (PIRLS). The formal conditions to compute teacher-centered weights are detailed, including mathematical equations. We provide a proposal on how to define the targeted populations as well as how to collect data that is needed to derive teacher-centered weights, yet currently unavailable. We also tackle the issue of teacher nonresponse by proposing a respective adjustment factor, as well as mentioning the challenge of multiple selection probabilities when teachers teach in multiple schools. The core part of the paper focuses on studying the level of accuracy that can be expected when estimating teacher population characteristics. We use TIMSS 2019 data and simulate likely scenarios regarding the variance in weights. The results show that (i) the different weighting scenarios lead to relatively similar estimates; however, the differences between the scenarios are sufficient to justify the recommendation to use correctly derived teacher weights; (ii) differences between estimated standard errors based on complex sampling and corresponding estimates based on simple random sampling are sufficiently consistent to support use of a procedure to estimate standard errors that accounts for both sample weights and the complex sampling design; (iii) sample sizes and variance in weights significantly limit estimate precision, so that total population estimates with sufficient precision are available in the majority of countries but subpopulation features are generally not sufficiently precise. To provide a critical evaluation of our results, we recommend implementation of the proposed method in one or more countries. This recommended study will permit examination of logistical considerations in implementation of required changes in data acquisition and will provide data to replicate the analysis with teacher-centered weights.

Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue

This paper presents a nonlinear reaction–diffusion-fluid system that simulates radiofrequency ablation within cardiac tissue. The model conveys the dynamic evolution of temperature and electric potential in both the fluid and solid regions, along with the evolution of velocity within the solid region. By formulating the system that describes the phenomena across the entire domain, encompassing both solid and fluid phases, we proceed to an analysis of well-posedness, considering a broad class of right-hand side terms. The system involves parameters such as heat conductivity, kinematic viscosity, and electrical conductivity, all of which exhibit nonlinearity contingent upon the temperature variable. The mathematical analysis extends to establishing the existence of a global solution, employing the Faedo–Galerkin method in a three-dimensional space. To enhance the practical applicability of our theoretical results, we complement our study with a series of numerical experiments. We implement the discrete system using the finite element method for spatial discretization and an Euler scheme for temporal discretization. Nonlinear parameters are linearized through decoupling systems, as introduced in our continuous analysis. These experiments are conducted to demonstrate and validate the theoretical findings we have established.

A COMPUTATIONAL AND FRACTIONAL MATHEMATICAL MODEL FOR ASSESSING HEPATITIS B WITH OPTIMAL THERAPY

This paper presents a mathematical study applied to Hepatitis B disease utilizing fractional calculus and numerical methods. We begin by discussing mathematical fundamentals, focusing on fractional calculus concepts and relevant numerical aspects for disease modeling. We then formulate the problem, describing a nonlinear fractional differential system that models hepatitis B virus (HBV) infection and its response to drug therapy. A detailed theoretical analysis explores system properties and biological implications. We provide a qualitative analysis of the model, discussing important dynamic behaviors such as stability and parameter sensitivity. Subsequently, numerical analysis is performed to validate the model and estimate unknown parameters from patient data. Our findings include significant insights into biological parameters and their impact on therapeutic response. We conclude that the proposed fractional-order model is effective, offering optimal therapeutic strategies for hepatitis B.

Analysis of the dynamic model of the impact of external economic shocks on inflationary processes

The past few decades by the emergence of such crises in the economic and social sphere of society, which resulted in economic supply shocks have been marked. Previously extremely rare, they have shifted the focus to the relevance of research on macroeconomic processes affected by shocks of this nature, not only in economic theory, but also in mathematical modelling. As a result of the analysis of already known macroeconomic models, it was revealed that the impact of external economic shocks on the main indicators of macroeconomics can have both negative and positive effects on economic growth. The purpose of the study is to build and analyze a dynamic optimization model, as well as recommendations for developing an optimal economic policy strategy. The article contains a description of the formulation and mathematical formalization of the macroeconomic task of levelling social damage from the impact of an external economic supply shock on the inflationary process and the unemployment rate. The connection between the two latter processes is established on the basis of the equation of the modified Phillips curve, supplemented by inflationary expectations, assuming a short-term perspective. The corresponding to this task economic and mathematical model is classified as an optimization model and represents the task of finding the conditional minimum of the loss functional. The article describes the qualitative analysis of this model, carried out using the methods of calculus of variations, formulas describing the dynamics of the above-mentioned macroeconomic indicators are obtained, a formula is derived for finding the level of inflation expectations at each moment of the time period under consideration. The obtained results of the mathematical model study are interpreted economically, while special attention is paid to the analysis of the impact of the external supply shock on these indicators.

IMPLEMENTATION OF THE DECISION TREE METHOD PREDICTING STUDENT GRADUATION ON TIME WITH C5.0 ALGORITHM

The percentage of students who graduate on time is one of the benchmarks for assessing a university's accreditation. To get good accreditation results, it is necessary to predict the graduation rate using a method so that students can anticipate delays in graduating. The C5.0 algorithm is a Decision Tree based algorithm which is a refinement of the ID3 and C4.5 algorithms created by Ross Quinlan in 1987. In this research, researchers analyzed several variables used in the input variables, there are several variables used, namely the SKS variable, Academic Leave, Student Status, Relationship/Communication with Family, Interests and Talents, Family Economics, Relationship/Communication with Lecturers, Number of Revisions, Final Assignment Material or Method. Meanwhile, in the target variable there is the Study Period. The aim of this research is to obtain the results of the implementation of graduation predictions for Strata 1 (S1) Mathematics Study Program students, Faculty of Science and Technology, UIN North Sumatra Medan using the C5.0 Decision Tree Algorithm. There are several steps taken, namely data preprocessing, data division, calculating information gain for the entire case, calculating information gain and entropy for each attribute. Calculate the total entropy and Gain value of each attribute, create a branch from each root node category, if the result of the branch becomes an internal node, the process is carried out until the attribute categories cannot be split. After carrying out the analysis, the accuracy rate was 82.81%. With a high level of accuracy, it can be developed into a rule that can provide predictions or input in making decisions about whether students will graduate on time

MEDIATING EFFECT OF STUDY HABITS ON THE RELATIONSHIP BETWEEN MATHEMATICAL READING COMPREHENSION AND PROBLEM-SOLVING SKILLS OF JUNIOR HIGH SCHOOL STUDENTS

This study aimed to determine whether study habits significantly mediate the relationship between mathematical reading comprehension and problem-solving of students in mathematics of Grade 8 students in the Division of Davao del Norte. A descriptive-correlational research design was used. The respondents of this research were 302 Grade 8 learners from four public secondary high schools in Davao del Norte. A stratified random sampling was utilized. This study used one adapted questionnaire and two researcher-made questionnaires. Mean, spearman rho, standard deviation, and bootstrapping were used as statistical tools. Results of the study revealed that mathematical reading comprehension is infrequently manifested, problem-solving skills of students is rarely manifested, while the study habits of the students are oftentimes manifested. The findings further revealed that the variables mathematical reading comprehension and problem-solving skills are significant with one another but infrequently manifested that they are not significant with study habits. Moreover, mathematical reading comprehension exhibits a direct significant effect on problem- solving skills but study habits do not significantly mediate the relationship between mathematical reading comprehension and the problem-solving skills of the students. The results conclude that mathematical reading comprehension is contributory factor to improve the problem-solving skills of the students. The researcher recommends that the school administrators provide an opportunity to the teachers in professional development programs to improve students’ mathematical reading comprehension and problem-solving skills. KEYWORDS: Mathematics education, problem-solving skills, mathematical reading comprehension, study habits, descriptive and correlational design, bootstrapping, Davao del Norte, Philippines

Dynamics of Neisseria gonorrhoeae transmission among female sex workers and clients: A mathematical modeling study

BackgroundThis study aimed to examine the transmission dynamics of Neisseria gonorrhoeae (NG) in heterosexual sex work networks (HSWNs) and the impact of variation in sexual behavior and interventions on NG epidemiology. MethodsThe study employed an individual-based mathematical model to simulate NG transmission dynamics in sexual networks involving female sex workers (FSWs) and their clients, primarily focusing on the Middle East and North Africa region. A deterministic model was also used to describe NG transmission from clients to their spouses. ResultsNG epidemiology in HSWNs displays two distinct patterns. In the common low-partner-number HSWNs, a significant proportion of NG incidence occurs among FSWs, with NG prevalence 13 times higher among FSWs than clients, and three times higher among clients than their spouses. Interventions substantially reduce incidence. Increasing condom use from 10 % to 50 % lowers NG prevalence among FSWs, clients, and their spouses from 12.2 % to 6.4 %, 1.2 % to 0.5 %, and 0.4 % to 0.2 %, respectively. Increasing symptomatic treatment coverage among FSWs from 0 % to 100 % decreases prevalence from 10.6 % to 4.5 %, 0.8 % to 0.4 %, and 0.3 % to 0.1 %, respectively. Increasing asymptomatic treatment coverage among FSWs from 0 % to 50 % decreases prevalence from 8.2 % to 0.4 %, 0.6 % to 0.1 %, and 0.2 % to 0.0 %, respectively, with very low prevalence when coverage exceeds 50 %. In high-partner-number HSWNs, prevalence among FSWs saturates at a high level, and the vast majority of incidence occurs among clients and their spouses, with a limited impact of incremental increases in interventions. ConclusionNG epidemiology in HSWNs is typically a "fragile epidemiology" that is responsive to a range of interventions even if the interventions are incremental, partially efficacious, and only applied to FSWs.

Critical Financial Education in the interdisciplinary context in Science and Mathematics studies

Critical Financial Education in the interdisciplinary context in Science and Mathematics studies

Classical solvability to the free boundary problem for a foam drainage equation. II. From the interface to the bottom

We study a nonlinear partial differential equation describing the evolution of a foam drainage in one dimensional case which was proposed by Goldfarb et al. in 1988 in order to investigate the flow of liquid through channels (Plateau borders) and nodes (intersections of four channels) between the bubbles, driven by gravity and capillarity. Its mathematical studies so far are mainly restricted within numerical and particular solutions; as for mathematical analysis of it there are only a few. We prove that the free boundary problem for the foam drainage equation in the region below an interface to the bottom in a foam column admits a unique global-in-time classical solution by the standard classical mathematical method, the maximum principle. Moreover, the existence of its steady solution and its stability are shown.

Classical solvability to the free boundary problem for a foam drainage equation. I. From the top to the interface

We study a nonlinear partial differential equation describing the evolution of a foam drainage in one dimensional case which was proposed by Goldfarb et al. [Izv. Akad. Nauk SSSR Mekh. Ghidk. Gaza 2, 103–108 (1988)] in order to investigate the flow of liquid through channels (Plateau borders) and nodes (intersections of four channels) between the bubbles, driven by gravity and capillarity. Its mathematical studies so far are mainly restricted within numerical and particular solutions; as for mathematical analysis of it there are only a few. We prove that the free boundary problem for the foam drainage equation in the region from the top to the interface in a foam column admits a unique global-in-time classical solution by the standard classical mathematical method, the maximum principle and the comparison theorem. Moreover, the existence of its steady solution and its stability are discussed.

The long-term effects of domestic and international tuberculosis service improvements on tuberculosis trends within the USA: a mathematical modelling study

For settings with low tuberculosis incidence, disease elimination is a long-term goal. We investigated pathways to tuberculosis pre-elimination (incidence <1·0 cases per 100 000 people) and elimination (incidence <0·1 cases per 100 000 people) in the USA, where incidence was estimated at 2·9 per 100 000 people in 2023. Using a mathematical modelling framework, we simulated how US tuberculosis incidence could be affected by changes in tuberculosis services in the countries of origin for future migrants to the USA, as well as changes in tuberculosis services inside the USA. To do so, we used a linked set of transmission dynamic models, calibrated to demographic and epidemiological data for each setting. We constructed intervention scenarios representing improvements in tuberculosis services internationally and within the USA, individually and in combination, plus a base-case scenario representing continuation of current services. We simulated health and economic outcomes until 2100, using a Bayesian approach to quantify uncertainty in these outcomes. Under the base-case scenario, US tuberculosis incidence was projected to decline to 1·8 cases per 100 000 (95% uncertainty interval [UI] 1·5-2·1) in the total population by 2050. Intervention scenarios produced substantial reductions in tuberculosis incidence, with the combination of all domestic and international interventions projected to achieve pre-elimination by 2033 (95% UI 2031-2037). Compared with the base-case scenario, this combination of interventions could avert 101 000 tuberculosis cases (95% UI 84 000-120 000) and 13 300 tuberculosis deaths (95% UI 10 500-16 300) in the USA from 2025 to 2050. Tuberculosis elimination was not projected before 2100. Strengthening tuberculosis services domestically, promoting the development of more effective technologies and interventions, and supporting tuberculosis programmes in countries with a high tuberculosis burden are key strategies for accelerating progress towards tuberculosis elimination in the USA. US Centers for Disease Control and Prevention.

Mathematical Study Simulating Hydroelectric Power as a Renewable Green Energy Alternative

Mathematical Study Simulating Hydroelectric Power as a Renewable Green Energy Alternative

Research on the Cultivation Strategy of Primary School Students' Mathematical Language Expression Ability

Learning mathematics is a process of learning mathematical language, which is the external manifestation of mathematical thinking, the carrier of mathematical knowledge and mathematical ideas and methods, and at the same time, mathematical knowledge also needs mathematical language as a medium to disseminate and communicate. In the study of mathematics, whether students can learn mathematics well is related to whether students have good mathematical language skills, but many studies can show that there are obvious deficiencies in the current mathematical language expression skills of primary school students. Therefore, teachers need to strengthen students' thinking training and good study habits, so as to further cultivate students' mathematical language expression ability and improve students' core literacy. To this end, this paper will elaborate on the concept and classification of mathematical language, as well as the cultivation strategies of primary school students' mathematical language expression ability.

Synergizing teacher collaboration to foster active learning strategies, student engagement and achievement in physics: a unified analysis across nine countries

This investigation explores the nexus between professional teacher collaboration, active learning methodologies, teaching promoting student engagement in physics classes and physics achievement. Leveraging Trends in International Mathematics and Science Study Advanced 2015 data from 1729 physics instructors across nine countries, it probes the extent to which collaborative practices among teachers influence their teaching to enhance active learning and engagement. Analytical techniques include Spearman correlations, confirmatory factor analysis, and structural equation modeling. Results reveal a robust model, confirmed by a Comparative Fit Index of 0.989 and Tucker–Lewis Index of 0.988, suggesting a good fit with the empirical data, alongside a Root Mean Square Error of Approximation of 0.053. The analysis demonstrates that teacher collaboration (‘Collab’) significantly predicts active learning (‘Active’) with a notable effect (β = 0.344, p < 0.001), which in turn significantly enhances student engagement (‘Engage’) (β = 0.438, p < 0.001). Additionally, ‘Engage’ is also directly influenced by ‘Collab’ (β = 0.174, p < 0.001). Although the relationship between ‘Collab’ and physics achievement (‘Physics’) is weaker, it remains significant (β = 0.063, p = 0.019). These findings support the enhancement of teacher collaboration as a catalyst for active learning and student engagement, which could indirectly foster improvements in physics achievement globally.

Identification of Dominant Factors Affecting Study Time and Waiting Time of Mathematics Undergraduate Using the Least Absolute Shrinkage And Selection Operator (LASSO)

Higher education is a level of education that is able to produce and prepare graduates so that college graduates are able to compete and are ready to face the world of work. The aim of this research is to determine the dominant factors that influence the study period and waiting time for undergraduates in Department of Mathmatics FST UIN Sumatera Utara Medan until they get their first job in less than 9 months. The Least Absolute Shrinkage And Selection Operator (LASSO) method was used in this research, where this method is expected to be able to provide high accuracy results in terms of determining the most dominant factors. From the results of calculations using the LASSO method, the three most dominant factors that greatly influence the study period and waiting time for undergraduates are working status (X3), organizational participation (X5), grade point average (X2), final assignment position (X2). By producing this most dominant factor, it is hoped that mathematics study programs will care more about their students by making major and minor improvements to future accreditation