Teaching Mathematics Based on Graphic Management in Problem Solving Topics

Problem solving is a very important skill in mathematics that students need to master. These skills require logical thinking, deep understanding, mastery of concepts and making connections with existing knowledge. This study aimed to determine the effectiveness of graphic management -based mathematics teaching in problem-solving topics. This study uses a qualitative research approach with a case study design involving one study participant. Participants of the study were randomly selected among year 3 students with a moderate level of Mathematics proficiency. To collect data, graphic management of “Four Corners and A Diamond” and semi -structured interview sessions were conducted. Data collection from graphics management was analyzed descriptively and these interviews were analyzed inductively to obtain specific themes based on the transcripts. Findings of the study show that with this graphic management, students can organize information from questions in the form of appropriate graphics and facilitate their understanding. The implication of this study is that students can solve mathematical problems through the arrangement of information correctly based on the graphic management of "Four Corners and A Diamond". This study can also encourage teachers to use graphic management in helping students to solve non-routine mathematics problems more conceptually.

Disentangling direct from indirect relationships in association networks

Networks are vital tools for understanding and modeling interactions in complex systems in science and engineering, and direct and indirect interactions are pervasive in all types of networks. However, quantitatively disentangling direct and indirect relationships in networks remains a formidable task. Here, we present a framework, called iDIRECT (Inference of Direct and Indirect Relationships with Effective Copula-based Transitivity), for quantitatively inferring direct dependencies in association networks. Using copula-based transitivity, iDIRECT eliminates/ameliorates several challenging mathematical problems, including ill-conditioning, self-looping, and interaction strength overflow. With simulation data as benchmark examples, iDIRECT showed high prediction accuracies. Application of iDIRECT to reconstruct gene regulatory networks in Escherichia coli also revealed considerably higher prediction power than the best-performing approaches in the DREAM5 (Dialogue on Reverse Engineering Assessment and Methods project, #5) Network Inference Challenge. In addition, applying iDIRECT to highly diverse grassland soil microbial communities in response to climate warming showed that the iDIRECT-processed networks were significantly different from the original networks, with considerably fewer nodes, links, and connectivity, but higher relative modularity. Further analysis revealed that the iDIRECT-processed network was more complex under warming than the control and more robust to both random and target species removal (P < 0.001). As a general approach, iDIRECT has great advantages for network inference, and it should be widely applicable to infer direct relationships in association networks across diverse disciplines in science and engineering.

Elementary school students’ mathematical connection in problem-posing activities

The ability of mathematical connections possessed by students can be seen from the ability of students to compile math problems. This study aims to determine the type of mathematical connection made by elementary school students in problem-posing activities. The research was conducted using a qualitative descriptive method. The participants were 34 fifth grade students (male =16 female =18) of one of the public elementary schools in Mataram, West Nusa Tenggara. Data were collected from the results of student work and interviews. The analysis was carried out qualitatively according to the indicators of the complexity of the problem through problem posing learning. The results showed that there were four types of mathematical problems and their relatedness that occurred in student problem-posing activities, including (1) unsolvable math problems, (2) incorrectly solved math problems, (3) neglected math problems contextual information, and (4) mathematical problems that have complexity and relevance. Based on these results, it can be recommended for further research to determine strategies to improve students' mathematical connections in problem-posing activities.

EXPLORATION OF TRI HITA KARANA ORIENTED LOCAL CULTURE AS A LEARNING RESOURCE FOR FRACTIONS

The use of appropriate learning resources has the potential to improve students' ability in solving mathematical problems. This study aims to determine the local culture that is oriented towards Tri Hita Karana which can be used as a learning resource for fractions in an effort to improve students' problem solving abilities. This type of research is exploratory with the research subject of the teacher who teaches the fifth grade students of Elementary School Number 1 Bhaktiseraga Singaraja. Data on aspects of local culture that are oriented towards Tri Hita Karana which can be used as a learning resource for fractions were collected by means of questionnaires and interviews. The results showed that the aspects of local culture oriented to Tri Hita Karana that could be used for learning fractions were the mecaru ceremony, tumpek wariga, odalan, ngayah. These learning resources can be used for material integration or math problems.

Supply Chain Networking Models Under Fuzzy Uncertainty

In decision-making model, the techniques of numerical analysis have been widely adopted. It is rare for someone to solve a linear program by hand — except perhaps in a class-room. Large-scale simulations would be all but impossible without the aid of a computer. For many people, numerical techniques have superseded analytic techniques as a tool for solving mathematical problems. This paper proposed Generalized LUExponential Trapezoidal Fuzzy Number and their ranking based on numerical integration. In this ranking method, the values are calculated with left and right spreads at some 𝜶 −level of generalized LU-exponential trapezoidal fuzzy numbers and Weddle‘s rule for numerical integration. To illustrate the proposed methods, a fuzzy four dimensional transportation problem (FDTP) is proposed and solved. This ranking approach is very simple and useful for the real life inequality based decision making problems.

First International Seminar on Physical Infrastructure (1st ISPI)

The First International Seminar on Physical Infrastructure (1st ISPI) was an academic and scientific event organized by the Road Infrastructure Research Group and the Road Infrastructure Research Seedbed of the Universidad Francisco de Paula Santander, San José de Cúcuta, Colombia; the 1st ISPI was held from October 13 to 15, 2021 The purpose of the 1st ISPI was to allow the academic and scientific community, researchers, professors, professionals, and students, to share results and research proposals in the areas of Engineering, Mathematics, and Physics; during the 1st ISPI is presented 29 research work, of which 6 were plenary lectures from Spain, Brazil, Venezuela, and Colombia, and 23 talks, on different topics that allowed to the participants the to learn about the current state of the Physical Infrastructure, the Mathematical Modeling, the Physical and Numerical Modeling, the Physicochemical Phenomena in Engineering, the Advances in Materials Science and Engineering, the Simulation of Physical- Mathematical Problems in Engineering, and the Teaching and Research Techniques in Science and Engineering. The website of the conference is available at https://foristom.org/1ispi. On behalf of the organizing committee of the 1st ISPI, we are extremely thankful to all authors and participants for providing their valuable contributions to this Proceedings volume as well as the reviewers for their constructive recommendations and criticism aiding to improve the presented articles. Likewise, we like to thank the Universidad Francisco de Paula Santander, and the Foundation of Researchers in Materials Science and Technology, for all the support technical and logistical received. Likewise, the organizing committee 1st ISPI thanks all who attended this edition of the event, and we are very proud to have carried out this event successfully that allowing the generation and effective transfer of new knowledge regarding the topics addressed during the event; we will be waiting for you at the 2nd ISPI in 2022. Finally, the editor hopes that those interested in the area of physical infrastructure can enjoy this reading, of the volume of the Journal of Physics: Conference Series (JPCS), which reflects a wide variety of current issues. List of Organizing Committee, Photos are available in this pdf.

E-Learning of Mathematics- A New Trend of Learning in 21st Century During Covid-19 Pandemic

The goal of this study is to highlight current breakthroughs in digital technology research in the subject of mathematics education. The Covid-19 outbreak in 2020 turned both private and public life on its head. Higher education institutions all across the world were forced to switch their teaching and learning online on very short notice. As a result, many types of software like Google Meet, MS teams, Zoom and WebEx, etc. have been developed to help teachers and students communicate more effectively. Problem-solving is a characteristic of mathematical activity and an essential component of the development of mathematical and analytical skills. The capacity to answer a broad variety of complicated mathematical problems is a major goal of mathematics education and learning. However, the process of problem-solving in online mode has not received the attention it deserves, because many professors are uncomfortable with it. As a result, problemsolving as a method and skill is not taught as an intrinsic component of the mathematics learning process by instructors. Qualitative methodology is a technique used for this study. The purpose of this study is to reveal the roles and significance of mathematics teaching and learning via the use of technology applications (E-learning). Keywords: Mathematics, COVID-19, E-learning, Education