Fields Of Mathematics Research Articles

Exploring Machine Learning Techniques for Predictive Analytics in Computational Mathematics

The machine learning (ML) called predictive analytics has become a useful tool in computer mathematics. It lets you make models that can predict what will happen in the future based on data from the past. This paper looks at several machine learning (ML) methods used in predictive analytics within the field of computational mathematics. It focuses on how they work, what they can be used for, and how well they work. We look at regression analysis, neural networks, decision trees, support vector machines (SVM), and ensemble methods in depth, looking at both their theoretical bases and how they are used in real life. It is possible to understand how factors are related using regression analysis, which includes both linear and polynomial regressions. However, because it is so simple, it may not be able to be used for complicated, non-linear situations. Because they are based on biological systems, neural networks are very good at making predictions, especially when dealing with big datasets with lots of complex patterns. But their training process uses a lot of computers and a lot of skill to keep it from overfitting. Decision trees work well for classification and regression tasks because they are simple and easy to understand, but they can become unstable when small changes happen in the data. Because they are based on strong theory, support vector machines work best in spaces with a lot of dimensions and are especially good at solving classification problems. Some methods, like random forests and gradient boosting, use more than one model to make predictions more accurate and reliable. However, they can use a lot of resources and be hard to tune. This paper gives a full picture of what's going on in predictive analytics for computational mathematics by comparing the pros and cons of each method. The new information is meant to help academics and practitioners choose the right machine learning methods for their specific predictive modeling needs. This will eventually help the field of computational mathematics by making predictive analytics more accurate and efficient.

Spatial Ability of Students in Solving Unit Cube Problem

This study aims to expose the ability of high school students in solving field problems three. The intended third field is the cube. This article uses a qualitative approach with in-depth interviews was conducted for 4 weeks. Data collection techniques in this study consisted of observation, interviews, tests and documentation. The interview guidelines and test in the form of planes three which aim to determine visual spatial abilities have been validated by 2 experts in the fields of mathematics and mathematics education. The research subjects were 11th grade students majoring in Science at SMAN 3 Blitar who had taken subject matter in Planes three. Based on the analysis, it can be concluded that in solving the cube problem in accordance with the spatial abilities of the subject there are several stages: the observation of the image, imagining, relating to the term from other concepts and solving the problem.

Construction of Soliton Solutions of Time-Fractional Caudrey–Dodd–Gibbon–Sawada–Kotera Equation with Painlevé Analysis in Plasma Physics

Fractional calculus with symmetric kernels is a fast-growing field of mathematics with many applications in all branches of science and engineering, notably electromagnetic, biology, optics, viscoelasticity, fluid mechanics, electrochemistry, and signals processing. With the use of the Sardar sub-equation and the Bernoulli sub-ODE methods, new trigonometric and hyperbolic solutions to the time-fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation have been constructed in this paper. Notably, the definition of our fractional derivative is based on the Jumarie’s modified Riemann–Liouville derivative, which offers a strong basis for our mathematical explorations. This equation is widely utilized to report a variety of fascinating physical events in the domains of classical mechanics, plasma physics, fluid dynamics, heat transfer, and acoustics. It is presumed that the acquired outcomes have not been documented in earlier research. Numerous standard wave profiles, such as kink, smooth bell-shaped and anti-bell-shaped soliton, W-shaped, M-shaped, multi-wave, periodic, bright singular and dark singular soliton, and combined dark and bright soliton, are illustrated in order to thoroughly analyze the wave nature of the solutions. Painlevé analysis of the proposed study is also part of this work. To illustrate how the fractional derivative affects the precise solutions of the equation via 2D and 3D plots.

Learning Theories and teaching Mathematics online: The Case of the Hellenic Open University

The utilization of pedagogical principles and learning theories is essential for improving the quality of education provided in online learning environments. In the field of mathematics, the utilization of the appropriate pedagogical approaches and techniques should be based on grounded and practically established theories. The Hellenic Open University (HOU) has been at the forefront of distance education in Greece, providing students with the opportunity to study a variety of scientific subjects remotely. This study aimed to investigate the extent to which learning theories are utilized by instructors/tutors in mathematics courses of HOU. The research methodology followed the qualitative approach of a case study. Semi-structured interviews were conducted with ten participants (instructors/tutors and instructional design experts). The results revealed that the utilization of pedagogical approaches and techniques based on learning theories was not consistent nor widespread. The findings emphasize the importance of providing training and support to instructors/tutors of HOU as well as clear guidelines integrating pedagogical approaches and learning theories into the learning material, the educational activities and the course structure.

Numerical approximation of parabolic singularly perturbed problems with large spatial delay and turning point

PurposeSingular perturbation turning point problems (SP-TPPs) involving parabolic convection–diffusion Partial Differential Equations (PDEs) with large spatial delay are studied in this paper. These type of equations are important in various fields of mathematics and sciences such as computational neuroscience and require specialized techniques for their numerical analysis.Design/methodology/approachWe design a numerical method comprising a hybrid finite difference scheme on a layer-adapted mesh for the spatial discretization and an implicit-Euler scheme on a uniform mesh in the temporal variable. A combination of the central difference scheme and the simple upwind scheme is used as the hybrid scheme.FindingsConsistency, stability and convergence are investigated for the proposed scheme. It is established that the present approach has parameter-uniform convergence of OΔτ+K−2(lnK)2, where Δτ and K denote the step size in the time direction and number of mesh-intervals in the space direction.Originality/valueParabolic SP-TPPs exhibiting twin boundary layers with large spatial delay have not been studied earlier in the literature. The presence of delay portrays an interior layer in the considered problem’s solution in addition to twin boundary layers. Numerical illustrations are provided to demonstrate the theoretical estimates.

Efektivitas Algoritma Kruskal dalam Mengoptimalkan Jalur Terpendek pada Jaringan Intranet

This research takes a case study at the Communication and Information Service, Bondowoso Regency, which is one of the media for conveying information and connecting interactive communication between the government and the community. In the process of conveying information to the public, they utilize information technology, the Intranet Network. The problem found was that there were obstacles in ineffective cable installation. This relates to non-optimality in determining the shortest path between two points in an intranet network, and how to determine the correct wiring position, so that the amount used is minimal but can still function optimally and be connected to all computers. To overcome the problems above, in this research the Kruskal Algorithm will be applied which is one of the network optimization methods in Graph Theory. Graph Theory is one of fields in Mathematics that studies the relationships between objects and how these objects interact with each other. Meanwhile, the Kruskal algorithm is an algorithm used to find the shortest path between two points in a graph. It is hoped that this research can optimize the amount of cabling used in designing intranet network topologies so that we can design optimal intranet routes with minimal costs.

Lorenz Attractors: Exploring its properties and the application value of chaos theories

Since Lorenz published Deterministic Nonperiodic Flow in 1963, Lorenz attractors and their equations have occupied an important position in the fields of mathematics, physics, meteorology and so on. Lorenz attractors reveal the aperiodic behavior and sensitivity to initial conditions in deterministic systems, which have attracted great attention in the scientific community. This paper deeply analyzes its characteristics, formation mechanism and performance in chaotic systems, and shows that it produces aperiodic behavior patterns in deterministic systems and is extremely sensitive to small changes in initial conditions, providing a new perspective for understanding the complexity and diversity of nature. Lorenz attractors are widely used in chaos theory, providing tools for chaos research and ideas for solving practical problems. It has shown its application potential in the field of meteorological prediction. It is expected to stimulate researchers interest in Lorenz attractors and chaos phenomena, promote the in-depth application and development of chaos theory in more fields, continue to reveal the mysteries of nature, and lead a new chapter in scientific exploration.

Pengaruh Metode Pembelajaran Two Stay Two Stray Terhadap Kemampuan Berpikir Kritis Matematika

This research endeavor seeks to examine the impact of the Two Stay Two Stray learning approach on critical thinking skills in the field of mathematics. The research adopts an experimental model employing a Post-Test Only Control Group Design research design. The research sample consists of two classes, namely the experimental class utilizing the Two Stay Two Stray learning method, and the control class employing the Think Pair Share learning method, with each class consisting of 20 students from MTs Ashnawiyah and MTs Gunung Putri. Data is collected through an objective essay-based test, which has been validated on 20 students outside the sample, through assessments of validity, reliability, and question difficulty levels. Pre-requisite tests for data analysis include a normality test using the Liliefors Test and a homogeneity test using the Fisher Test, yielding a result of 2.046. Hypothesis testing is conducted via the t-test, resulting in a tcount > ttable, thus leading to the rejection of H0. The research findings indicate a significant influence of the Two Stay Two Stray learning method on critical thinking skills in mathematics. Hence, this instructional approach can be considered as an alternative for educators to foster an active, effective, and engaging learning environment

TRANSAKSI CRYPTOCURRENCY DITINJAU DALAM PERSPEKTIF HUKUM POSITIF DAN HUKUM ISLAM

The Globalization system has had a huge impact on modern society, especially in the fields of science, technology, information and communication, all of which are developing rapidly. The most famous currency is Bitcoin or cryptocurrency. Because there are now no clear boundaries and no recognition of the existence of cryptocurrencies in Indonesia, these cryptocurrencies are facing a number of polemics regarding their use throughout the world, including in that country. The debate over whether Bitcoin is halal or haram in Islam continues among scholars who study the Koran, hadith, ijma and other Islamic books. One important area of expertise in the world of information security is cryptography. Today, professionals in the fields of computer science and mathematics discovered a new application of encryption that could improve the quality of life of local communities: the buying and selling of digital currencies known as cryptocurrencies. Digital currencies that are not subject to government regulation are known as cryptocurrencies; this does not include official cash. This cryptocurrency is the forerunner to the creation of digital currency which is now known as Bitcoin currency, which can be used like other types of money. And the result of the discussion is that whether scholars allow cryptocurrency or not. This research uses a qualitative method where this method focuses on in-depth observation. Therefore, the use of qualitative methods in this research can produce a study of a phenomenon that is more comprehensive with literature research. Based on the background information provided previously, the author identifies problems that require further investigation. Among other things, what is the meaning of cryptocurrency in the current understanding and context and what is Islamic law regarding the use of cryptocurrency as a transaction tool.

Mathuiz-B Android-Based Application Program to Overcome Dissimilarity in Mathematics Fields of Sabilurrosyad Islamic Junior High School Students

Sabilurrosyad Islamic Middle School is a junior high school in the village of Karangbesuki. The geography school is located on the edge of Malang City and far away from the center of Malang City. Students entering junior high school are big children from local public elementary school graduates. Sabilurrosyad Islamic Middle School is the school that found its students with diverse ability different academics. _ Problems faced _ partner is different competence academic field mathematics in students new Sabilurrosyad Islamic Middle School. Based on the results analysis situation and SWOT analysis, the team devoted the public to the solution by creating and giving application edugames (MATHUIZ-B) that can used by schools. For participants assigned to educate new order capabilities, cognitive students can be uniform with standard junior high school level. The method of this community activity begins with preparation, making the Mathuiz-B application, outreach to teachers and principals of Sabilurrosyad Middle School, and Submission of the application so that service partners can use it. On activities devotion public, team devotion will provide an application manual book and a book regarding successful strategies for learning mathematics for entering junior high school.

Study of some graph theoretical parameters for the structures of anticancer drugs

Eigenvalues have great importance in the field of mathematics, and their relevance extends beyond this area to include several other disciplines such as economics, chemistry, and numerous fields. According to our study, eigenvalues are utilized in chemistry to express a chemical compound’s numerous physical properties as well as its energy form. It is important to get a comprehensive understanding of the interrelationship underlying mathematics and chemistry. The anti-bonding phase is correlated with positive eigenvalues, whereas the bonding level is connected with negative eigenvalues. Additionally, the non-bonded level corresponds to eigenvalues of zero. This study focuses on the analysis of various structures of anticancer drugs, specifically examining their characteristic polynomials, eigenvalues of the adjacency matrix, matching number and nullity. Consequently, the selected structures of the aforementioned anticancer drugs exhibit stability since they are composed of closed-shell molecules, characterized by a nullity value of zero.

Empowering Women in Biomedical Engineering: A Departmental Pathway to Inclusion and Support

ABSTRACT The underrepresentation of women in science, technology, engineering, and mathematics (STEM) fields, including biomedical engineering, remains a persistent challenge and emphasizes the need for initiatives that attract and retain more women in the field. Such initiatives should address this gender imbalance and aim to harness the diverse perspectives and talents of all genders. Women in engineering face unique challenges due to the field’s male-dominated nature. Gender bias, stereotypes, and family-unfriendly expectations can significantly affect women’s experiences, hindering their opportunities for recognition and career advancement. A 2021 survey of the Biomedical Engineering Department and Graduate Group at the University of California Davis revealed that women and marginalized individuals experience a different sense of belonging compared with their white male counterparts, frequently encounter challenges related to implicit bias, microaggressions, and a lack of adequate support, mentorship, and opportunities for professional development. Here, we describe and reflect on the efforts by the Biomedical Engineering Health, Equity, and Wellness Committee to begin to address these challenges. We launched the Women+ in Biomedical Engineering Lunch Series, which provides a platform for women, marginalized individuals, and their allies to come together, connect, and share experiences. The lunch series aims to facilitate open dialogue, mentorship, and support and promote networking opportunities to bridge the gender gap in the field. The initial meetings in the Spring quarter of 2023 focused on key topics such as mentoring, mental health and stress management, and the effect of legislation on women’s professional lives. By providing a safe space for discussion, sharing experiences, and addressing these topics, the lunch series aims to break down barriers and build networks, foster a supportive environment, and empower women to thrive in biomedical engineering.

Unveiling Effective CSCL Constructs for STEM Education in Malaysia and Indonesia

The acquisition of knowledge and skills in the fields of Science, Technology, Engineering, and Mathematics (STEM) plays a crucial role in fostering the development of future innovators. These subjects are critical for creating future thinkers. Additionally, it is important to note that there are a lot of job openings in the STEM fields, and this trend is expected to keep growing. However, students don’t seem to be as motivated to study in STEM fields or work in STEM fields. One teaching method that is becoming more popular is computer-supported collaborative learning (CSCL). This is because it can have a big effect on how people learn, especially in STEM subjects. It is very important to set up a CSCL learning environment for STEM schooling right away. However, that there isn’t a good framework and there aren’t many widely used design methods in this area. Without a question, there is a strong need to learn more about design methodologies in the areas of collaborative and technology-enhanced learning to come up with simple methods for CSCL. Because of this, the goal of this study is to investigate the conceptual parts of CSCL methods in STEM education. This will be used to make CSCL educational methods that are good especially for STEM education. STEM academics in Malaysia and Indonesia were surveyed using questionnaires to find the most important parts of CSCL strategies in STEM education, and the results were analysed using the Fuzzy Delphi Method. The results give us a list of CSCL settings used in schools, which can be used as a guide for creating and using CSCL strategies in STEM education.

Empowering Diversity: Policies for Gender Equality in Stem Education and Workforce Progression in North Macedonia

Abstract The enduring global issue of women's underrepresentation in science, technology, engineering, and mathematics (STEM) fields carries significant implications for both societal advancement and economic growth. Despite the rise in women's enrollment in higher education, the persistent gender pay gap can be attributed in part to their limited presence in STEM domains, which tend to offer higher-paying career prospects. This study scrutinizes the impact of national policies on gender imbalances in STEM, focusing on the case of North Macedonia. It assesses existing measures and programs while proposing recommendations to foster gender parity in STEM both national and local scales. Employing a mixed research methodology, the study incorporates desktop research, statistical analysis of gender distribution in STEM fields, policy evaluations of national frameworks, and primary data collection through interviews and surveys.

A Systematic Literature Review of Project-Based Learning on English Writing Skills

Project-based learning (PjBL) is a student-centred approach focusing on experiential learning. The approach has been widely used in the field of sciences and mathematics but not in social sciences, particularly in English writing skills. As PjBL gains popularity as one of the 21st century teaching and learning approaches, there is a need to identify the trends, key authors, significant countries, and findings related to PjBL in writing. This paper presents a systematic literature review (SLR) conducted on 17 articles from the year 2018 to 2023 from the Scopus database following the PRISMA guideline. The study focused on PjBL and English writing, employing a systematic literature review to analyse trends, countries, authors, and journals. The analysis reveals dynamic trends of PjBL in the writing field. While the publication output fluctuated over the years, Indonesia emerged as a major contributor, signifying a global interest. A diverse distribution of articles across journals and countries underscores the global impact of PjBL, with notable contributions from Malaysia, China, and Russia. This paper synthesises the key themes from the literature review, emphasising the improvement in writing skills through PjBL and its challenges. The findings underscore PjBL's potential in transforming English writing education, emphasising the importance of addressing challenges for effective integration. The study contributes to the literature through a systematic analysis, providing insights into the trends and recommendations in PjBL in English writing research. Further research should delve into refining PjBL methodologies to maximize its innovative potential in English writing instruction.

White Racial Framing and White Supremacy Culture in STEM Education: Experiences of Students with Minoritized Identities of Sexuality and/or Gender

Whiteness is prevalent in higher education and therefore permeates science, technology, engineering, and mathematics (STEM) fields. While research shows STEM’s long history of exclusion and marginalization in higher education (Ong et al., 2011), there has been limited research on the ways students with minoritized identities of sexuality and/or gender (MIOSG) in STEM interact with systems of dominance, such as whiteness. Using white supremacy culture (Okun, 2021; Okun Jones, 2001) and the white racial frame (Feagin, 2010) as sensitizing concepts, this paper explores how students with MIoSG are situated in relation to systems of whiteness and white racial dominance in STEM learning spaces. Our findings included three emergent categories: color-evasiveness, desiring diversity in STEM, and the simultaneous invisibility and hypervisibility of Black, Indigenous, and People of Color (BIPOC) in STEM. Findings illuminated the complex ways BIPOC and white students with MIoSG experienced and thought about whiteness and white supremacy in STEM. Data point to the need for intentional anti-racist research, policy, and practice in STEM learning spaces.

Structural Impediments Impacting Early-Career Women of Color STEM Faculty Careers

Women of Color faculty continue to experience many challenges in their careers, especially in the science, technology, engineering, and mathematics (STEM) fields. As such, more research is needed that considers structural issues inhibiting their success. Using structuration theory and critical race feminism as a conceptual framework, we conducted semi-structured interviews with 19 faculty and administrators in STEM departments at higher education institutions to investigate their perceptions of structural impediments impacting early-career Women of Color STEM faculty careers. Our findings revealed the need to establish policies that are clear, documented, and transparent. Additionally, incremental approaches to tenure and promotion evaluations should be reconsidered, especially when this approach may position Women of Color faculty to appear as if they are underperforming, when the opposite may be true. Furthermore, as higher education institutions endeavor to diversify the professoriate, this study is significant in enabling institutions and STEM departments to be aware of systemic issues confronting them to make significant inroads in retaining and advancing Women of Color faculty in these disciplines.

Applications of dynamical systems in physics

Dynamical systems are crucial for defining our comprehension of the physical world, offering a robust structure for examining and representing intricate occurrences. The exploration of dynamical systems in physics traces back to the initial developments of classical mechanics by Newton and Lagrange. Over time, this framework has developed and grown to encompass a broad array of physical phenomena, ranging from the movement of astronomical objects to the actions of subatomic particles. The close relationship between dynamical systems and physical principles has inspired the study and improvement of this mathematical field. This paper delves into the diverse applications of dynamical systems in physics, emphasizing the research background, methodology, main discoveries, and wider ramifications. This study tries to offer a thorough summary of the diverse impacts of dynamical systems on the area of physics by combining several research papers. By utilizing dynamical systems, researchers have gained a deeper understanding of the fundamental order that governs complex dynamics, paving the way for improved predictions, innovative technologies, and a deeper understanding of the underlying principles that govern the universe.

STEM Pathway and College Progression: The Link Between Engineering CTE and Postsecondary Outcomes for Students With Learning Disabilities

Despite growing calls to increase diversity in science, technology, engineering, and mathematics (STEM) fields, students with learning disabilities (SWLDs) remain underrepresented in STEM at the postsecondary level. Considering this call for increased diversity as a means to expand and strengthen STEM success, we used the High School Longitudinal Study of 2009 to explore how participation in engineering career and technical education (E-CTE) links to postsecondary educational outcomes for SWLDs. Particularly, we examined how E-CTE participation relates to postsecondary remedial course taking, enrollment in a 4-year postsecondary institution, and declaration of a STEM major. Results from school fixed-effects estimations suggest that each credit of E-CTE earned is associated with fewer remedial college courses, a higher likelihood of enrolling in a 4-year as opposed to sub-baccalaureate institution, and increased odds of declaring a STEM major. To conclude, we discuss the implications of our findings for both policymakers and practitioners.

Enhancing Spatial Ability: A New Integrated Hybrid Training Approach for Engineering and Architecture Students

Spatial ability (SA) is the mental ability to create, maintain, and manipulate abstract visual representations. Studies have shown that SA is a strong predictor of success in the fields of science, technology, engineering, and mathematics (STEM). More recently, attention has extended to the field of architecture, a discipline where spatial thinking skills are fundamental, yet students in this field have not been extensively examined in terms of their spatial abilities. Therefore, SA skills are essential for students in engineering and architecture during their initial academic phases. This research was conducted within an interdisciplinary academic college and describes in detail a new integrated and hybrid training program that is part of a recent mixed-methods study. This program was built to effectively enhance the SA of first-year undergraduate students in a cost-effective manner, using a multi-method teaching strategy. The training program spanned more than 20 h across four sessions. This article focuses on the training methodology, encompassing four key phases, and serves as a complementary article to the one that was just published separately, describing the effectiveness of this intervention program as measured using SA standard tests. Notably, in certain scenarios, these phases were combined rather than being standalone independent modules. The traditional teaching method (TTM) lays the foundation for SA knowledge via lectures and collaborative interactions. Subsequently, computer-based learning (CBL), using tools such as SketchUp and GeoGebra, facilitates in-depth virtual geometric exploration. Augmented reality (AR) training offers an immersive learning experience, allowing students to interact with 3D objects in real-world environments. Finally, the building real model (BRM) phase transforms 2D designs into tangible 3D structures. This study highlights the comprehensive training approach, emphasizing the robust learning environment facilitated by integrating these phases as part of the full mixed-methods research. The suggested integrated training program was qualitatively explored through post-intervention evaluations to understand participants’ experiences and perceptions.