4,422 results
Search Results
2. Genetic algorithms for wavenumber selection in forensic differentiation of paper by linear discriminant analysis
- Author
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Choong Yeun Liong, Abdul Aziz Jemain, Khairul Osman, and Loong Chuen Lee
- Subjects
business.industry ,Wavenumber ,Pattern recognition ,Artificial intelligence ,business ,Linear discriminant analysis ,Selection (genetic algorithm) ,Mathematics - Abstract
Selection of the most significant variables, i.e. the wavenumber, from an infrared (IR) spectrum is always difficult to be achieved. In this preliminary paper, the feasibility of genetic algorithms (GA) in identifying most informative wavenumbers from 150 IR spectra of papers was investigated. The list of selected wavenumbers was then employed in Linear Discriminant Analysis (LDA). GA procedure was repeated 30 times to get different lists of variables. Then the performances of LDA models were estimated via leave-one-out cross-validation. A total of six to eight wavenumbers were identified to be valuable variables in the GA procedures. All the 30 LDA models achieve correct classification rates between 97.3% to 100.0%. Therefore the GA-LDA model could be a suitable tool for differentiating white papers that appeared to be highly similar in their IR fingerprints.
- Published
- 2016
3. Effects of scatter-correction pre-processing methods and spectral derivative algorithms on forensic classification of paper
- Author
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Abdul Aziz Jemain, Loong Chuen Lee, Choong Yeun Liong, and Khairul Osman
- Subjects
Visual examination ,Multiplicative function ,Principal component analysis ,Spectral data ,Standard normal variate ,Cluster analysis ,Algorithm ,Scatter correction ,Mathematics ,Processing methods - Abstract
Infrared (IR) spectral data are always influenced by undesired random and systematic variations. As such, pre-processing of spectral data is normally required before chemometric modeling. Two most widely used pre-processing techniques, i.e. scatter-correction methods and spectral derivatives, were used to pre-process 150 IR spectral data of paper. The algorithms investigated in this preliminary study are Standard Normal Variate (SNV), Multiplicative Scatter Correction (MSC), Savitzky-Golay (SG) and Gap-Segment (GS). The visual examination of the clustering among three studied varieties of paper, i.e. IK Yellow, One Paper and Save Pack, is accomplished via Principal Component Analysis (PCA). Overall, separation of the three varieties of paper is greatly enhanced after pre-processing. The most significant improvement is obtained with pre-processing via 1st derivative using SG algorithms.
- Published
- 2016
4. Application of Kuratowski's closure operator in Python program.
- Author
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Prabu, M. Vivek and Rahini, M.
- Subjects
PYTHON programming language ,MATHEMATICIANS ,TOPOLOGY ,AXIOMS ,MATHEMATICS - Abstract
In the current scenario Programming in Python plays a vital role in research arena as it preserves much of the man power. Converting the research work into the format of coding helps any researcher across the globe as it serves as a ready reckoner. Topology is one of the main branches of Mathematics. A Polish Mathematician named Kazimierz Kuratowski defined essential axioms in Topology with the aid of a closure operator named after him. In this paper, we have developed a Python program to find the closure and interior for the subsets of the given set. We will be using dictionary in Python with each subset as the key and the respective closure as its value. Subsequently we will be finding int(cl(A)), cl(int(A)), int(cl(int(A))), cl(int(cl(A))), for any subset A of the given set. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
5. Visualization of students' performance from digital learning media using Self-Organizing Map (SOM).
- Author
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Tibyani, Tibyani, Anam, Syaiful, Wardhani, Ni Wayan Surya, and Hartono, Pitoyo
- Subjects
- *
DIGITAL learning , *SELF-organizing maps , *DIGITAL storytelling , *COGNITIVE styles , *DIGITAL technology , *ONLINE education , *MATHEMATICS - Abstract
In recent years, with the increase of online learning platforms, obtaining learning behavior data from students, are becoming easy. However, analyzing the data to extract meaningful information remains challenging due to the data volume and complexity. Here, we apply Self-organizing Maps (SOM) to visualize the learning characteristics of many elementary students over many online assignments in mathematics class. As a case study, this research used the data log of MONSAKUN, a digital learning environment that focuses on exercising arithmetic using story-based questions by using a problem-posing approach with the integration of mathematical sentences. Our primary objective is to give intuitive understanding to the teachers regarding the students' performance that subsequently allows the teachers to generate meaningful advices. Here, SOM generates a two-dimensional map that preserved the topological order of high-dimensional learning characteristics data, in which students with similar learning characteristics are located close to each other, while students with significantly different characteristics are distanced from each other. We are interested especially in locating low-performing students, as they are the most important to be given advice by the teachers. By locating the low-performing students and other students in their vicinity on the map, the teacher may be able to use other students as references for improving the low-performing students' performances. The idea is to mimic the learning characteristics of the students designated as references. Due to the learning characteristics similarity, the low-performing students do not need to make drastic changes in their learning styles. It can be expected that by iterating this process over many assignments, the students' performances will gradually be improved. In this paper, we utilized a digital learning platform MONSAKUN, for learning arithmetic used in Japan. In this paper, we present our preliminary results in the form a learning-visualization of characteristics students of analytical and advisory tools and described our future goals for building a more flexible and general tool that can be deployed in Indonesia. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
6. Handwritten math equation solver using machine learning.
- Author
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Gotlur, Karuna, Nampally, Lakshmi Prasad, Chundru, Nirgun Sai, Thanneedi, Sai Naga Pavan Gandhi, and Teki, Teja Haravind
- Subjects
MACHINE learning ,PATTERN recognition systems ,DIGITAL technology ,MATHEMATICS ,TOUCH screens ,LINEAR systems ,MENTAL arithmetic ,HANDWRITING recognition (Computer science) ,ARITHMETIC - Abstract
In the digital era, most of the human work is now been performed using the computer system. The computer's capacity to detect and understand meaningful Handwriting input from sources such as touch screens, pictures, paper documents, and other sources is referred to as handwriting character recognition. The diversity in people's handwriting style increases the complexity of handwritten characters. Also, grading academic answer sheets manually and providing an unbiased genuine grade is a challenging task. The aim of the work is to create handwriting character recognition system that will be used to read handwriting notes and solve mathematical equations. The ultimate goal is to show that neural networks can solve equations from a handwritten source effectively. In this paper, we present a web application-based equation solver that uses a camera image of an equation to display the solution. The program has the ability to solve simple arithmetic equations (addition, subtraction, multiplication) and up to two systems of linear equation variables handwritten or typed in a computer font. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
7. Mathematics as a tool for critical citizenship: The case of the Philippine national elections 2022.
- Author
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Briones, Jeric C., de Jesus, Vitus Paul L., Miro, Eden Delight P., Toledo, Nhoriel I., and Vistro-Yu, Catherine P.
- Subjects
- *
CITIZENSHIP , *ELECTIONS , *MATHEMATICS education , *COUNTING , *MATHEMATICS , *CITIZENS - Abstract
This paper showcases an example of how mathematics was utilized to debunk a suspected anomaly in election returns in the aftermath of the Philippine national elections last May 2022. Initial results of the automated elections yielded numbers that the public deemed suspicious. In response to a call for experts' opinions on the matter, we processed and analyzed large samples of preprocessed data to which we have been given access. Using data analytics techniques, we examined transmission arrivals of election returns and compared them against the total votes transmitted, with the analysis performed at different aggregation levels. Our analyses showed that the seemingly suspicious numbers can be explained by examining the distributions of the transmission arrivals of election returns and analyzing those distributions using different levels of aggregation. From the perspective of critical mathematics education (CME) particularly, focusing on mathematics for critical citizenship, we highlight the importance of mathematics to help fight disinformation and spread of unfounded rumors. The paper concludes with recommendations for enriching students' mathematical experiences that could pave the way for a responsive and engaged citizenry in our country. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
8. A model for HIV/AIDS pandemic with optimal control
- Author
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Amiru Sule and Farah Aini Abdullah
- Subjects
Mathematical optimization ,business.industry ,Stability (learning theory) ,Human immunodeficiency virus (HIV) ,Disease free ,Disease ,Contributed Oral Papers ,Optimal control ,medicine.disease ,medicine.disease_cause ,Virology ,Immune deficiency syndrome ,Acquired immunodeficiency syndrome (AIDS) ,Pandemic ,medicine ,business ,Mathematics - Abstract
Human immunodeficiency virus and acquired immune deficiency syndrome (HIV/AIDS) is pandemic. It has affected nearly 60 million people since the detection of the disease in 1981 to date. In this paper basic deterministic HIV/AIDS model with mass action incidence function are developed. Stability analysis is carried out. And the disease free equilibrium of the basic model was found to be locally asymptotically stable whenever the threshold parameter (RO) value is less than one, and unstable otherwise. The model is extended by introducing two optimal control strategies namely, CD4 counts and treatment for the infective using optimal control theory. Numerical simulation was carried out in order to illustrate the analytic results.
- Published
- 2020
9. Soft B compactness in soft tritopological spaces.
- Author
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Devi, T. and Bharathi, S.
- Subjects
SOFT sets ,TOPOLOGICAL spaces ,TOPOLOGY ,MATHEMATICS - Abstract
The soft set is a concept which is considered as a common mathematical tool to deal the unpredictability in all the fields that deals mathematics. The problems that trouble the theoretical approaches are solved using soft set. The soft topology is formulated using soft sets. Based on variable values, soft topology induces topology. Using soft topological spaces soft tritopological spaces are framed. This research paper deals some new definitions of trio open soft b cover, trio compact soft b. Also investigates trio compact soft b spaces properties in soft tritopological spaces. In further studies the outcome of this research paper can be done on soft tritopological spaces. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
10. Subordination properties of analytic function defined by new linear operator.
- Author
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Hameed, Ismael I. and Juma, Abdul Rahman S.
- Subjects
- *
LINEAR operators , *DIFFERENTIAL operators , *ANALYTIC functions , *INTEGRAL operators , *MATHEMATICS - Abstract
In this paper, a new operator was defined μ m , k j. v f (w)) : A → A. Associated with Hadamard product of the Komatu Integral operator [MATH] and the Dziok-Srivastava operator [MATH]. And done use the method of differential subordination to derive certain properties of the differential operator μ m , k j. v f (w)). And aim of this paper is to use the relation (α 1 k + 1) μ m , k j + 1 , v f (w) = w (μ m , k j , v f (w)) ' + α 1 k (μ m , k j , v f (w)) [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
11. On δ-ß-Separateness and strongly δ-ß-Connectedness and their applications.
- Author
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Awad, Ghufran Ibrahim and AL-Jumaili, Alaa M. F.
- Subjects
AXIOMS ,MATHEMATICS ,COMPACT spaces (Topology) - Abstract
The objective of the present paper is to study and investigate new notion of separated sets namely, δ-ß-Separated sets by using δ-ß- open sets. Moreover, with this notion we introduce new classes of connected spaces which are called strongly δ-ß-connected spaces and study some essential properties concerning of δ-ß- connected spaces. Several characterizations and fundamental properties concerning of such these classes of connected spaces with some δ-ß- Separtion axioms and compact spaces are obtained. The behavior of δ-ß- connected spaces with respect to several types of well-known mappings is discussed. Also, the digital spaces in the context of these new concepts are examined. Mathematics Subject Classification: 54B05, 54B10 ,54C10 ,54D18,90D42. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
12. Secure domination for some special graphs.
- Author
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Sangeetha, S. and Kaviya, G.
- Subjects
GRAPH theory ,DOMINATING set ,MATHEMATICS - Abstract
Graph theory is a branch of mathematics which is quit rich and interesting. The study of domination is one of the fastest growing area in graph. There are different types of domination such as connected domination, independent domination, total domination, paired domination, secure domination , etc. "The secure dominating set S of a graph G is a dominating set with the property that each vertex u∈V\ S is adjacent to a vertex v∈S such that (S\ v) Uu is a dominating set. The minimum cardinality of such a set is called the secure domination number and denoted by γ
s (G)". In this paper we discuss about the secure domination for some special graphs. [ABSTRACT FROM AUTHOR]- Published
- 2022
- Full Text
- View/download PDF
13. Teacher training advancements to enhance student's attention and quantitative skills.
- Author
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Suneha and Kumra, Neha
- Subjects
TEACHER training ,MATHEMATICS teachers ,MATHEMATICS students ,TRUST ,CONCEPT learning ,MATHEMATICS - Abstract
A teacher, who is the provider of the proven educational knowledge, should be adequately competent in terms of expertise, trust, dedication, positive attitude, effective communication and patient listening. All these attributes can surely be inculcated in pupil teacher but only if the training is provided with maximum commitment, with specified objectives, taking into account the needs of todays' educational scenario and the needs of students. This paper emphasize on the system of training being provided to pre-service Mathematics' teachers, to develop their teaching skills. It includes the use of some creative teaching concepts to increase the interest, level of satisfaction and the outcome of their targeted Mathematics' students. Several studies, researches have shown that the students, who have been studying Mathematics since their childhood, are unable to perform simple calculations and are unable to solve simple numerical problem of their everyday life. This study will conclude with some suggestive facts that pre-service trainees should be trained in a way that other than the prescribed curriculum/syllabus, they should spend time to improve quantitative skills using some innovative techniques in regular class practice. As an example, the inventive methodology will also be discussed. And the second highlight will be the the emphasis on continual and rigorous assessment of the trainees during teaching practice, so that they can resolve the dearth and can go ahead with a handful of approaches to serve the purpose of fruitful teaching and learning. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
14. Model for the formation of students' interest in STEM through geometry learning based on visual spatial abilities using augmented reality technology.
- Author
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Adnan, Nurul Anis Syuhada, Osman, Sharifah, Kumar, Jeya Amantha, Jambari, Hanifah, and Talib, Corrienna Abdul
- Subjects
STUDENT interests ,VISUAL learning ,SPATIAL ability ,AUGMENTED reality ,EDUCATIONAL technology ,COMPUTER assisted instruction ,GEOMETRY ,MATHEMATICS - Abstract
STEM education is one of the primary priorities in the Malaysian Education Blueprint (PPPM) 2013-2025, in line with the relevance of STEM at the global level. In keeping with the educational needs of 21st-century learning, the use of technology in education is also highly encouraged. Unfortunately, the Malaysian government's goal of producing one million experts in Science, Technology, Engineering, and Mathematics (STEM) by 2020 was not met because the 60:40 STEM: non-STEM policy failed to meet the goal. Students' interest in different STEM disciplines has been linked to their interest in integrated STEM in previous studies. Students' lack of interest in STEM fields appears to have an impact on their low mathematics achievement at the international assessment level, including in the field of geometry. Geometry is one of the most important branches of mathematics, and spatial thinking goes hand in hand with it. This paper presents the results of a critical review as well as a brief overview of ongoing research targeted at developing a model for the formation of interest among secondary school students in STEM through geometry learning based on augmented reality (AR) technology and visual-spatial abilities. The first part of the paper provides an in-depth review of these matters based on rather limited resources. The review revealed various difficulties and limitations in piquing students' interest in STEM and mathematics. The second part describes research being conducted by the researchers to examine the implementation of using AR in geometry learning based on visual-spatial abilities. For the pilot and main stages of the study, pre-and post-test, observations, and semi-structured interviews will be conducted. The data will be analysed quantitatively and qualitatively, and the theory of change approach will be applied. The findings will be used to develop a model for the formation of interests among students as a result of geometry learning. The model aims to provide some relevant information for technology-assisted mathematics instruction, and it aligns with national STEM policy goals of increasing the number of students selecting STEM disciplines in secondary and higher education. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
15. The effect of the theorem prover Isabelle.
- Author
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Iwama, Fumiya and Takahashi, Tadashi
- Subjects
EUCLIDEAN geometry ,MATHEMATICS - Abstract
Isabelle/HOL is a generic proof assistant. Using an Isabelle/HOL requires insight into procedures as well as into the concepts involved. In addition, the way computer manages the procedures can affect mathematical concepts. We can clearly understand mathematical concepts and can minimize the burden of operation opportunities. "Foundations of Geometry" is a book of mathematics written by Hilbert in 1899. The book is famous as the most rigorous study of the axiom system of Euclidean geometry by axioms and formalism. The purpose of this paper is to complement the axiom system by theorizing a part of the problems in this book. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
16. Optimization of oil extraction from vateria indica seeds by solvent extraction process using response surface method
- Author
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K. Raju, Sushanth H. Gowda, B. Pavana Kumara, and Joel Dmello
- Subjects
Solvent ,Biodiesel ,Vegetable oil ,biology ,Biodiesel production ,Extraction (chemistry) ,Vateria indica ,Response surface methodology ,Raw material ,biology.organism_classification ,Pulp and paper industry ,Mathematics - Abstract
Vateria Indica is a multipurpose tree that is much used locally in India. It provides food, medicine and a range of other commodities. It is often planted along avenues in India. The use of vegetable oil as feedstock for biodiesel production is divisive as an outcome of the challenges of a food-fuel catastrophe linked with the use of fit to be eaten oils for biodiesel making. The present study is focused on the extraction of oil from vateria Indica seed using a solvent extraction method, evaluation of optimal conditions for oil extraction. A Box-Behnken design of response surface methodology (RSM) with 15 experimental runs is used to study the optimum environment for the withdrawal, and the variables of interest are effective solvent/seed ratio 1 ml/gm, 1.25 ml/gm and 1.5 ml/gm. extraction temperature 60°C, 65°C, 70°C, and extraction time 3 hr, 4 hr, 5 hr. From the current study it is observed that the optimized oil yield using the solvent extraction is found to be 22.85% at temperature of 66.6°C, extraction time of 4.41 hour keeping the solvent to seed ratio of 1.353 ml/g after adopting response optimization technique.
- Published
- 2019
17. Parametric b-2 metric space and fixed point results.
- Author
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Sharma, Ria and Chauhan, Surjeet Singh
- Subjects
COINCIDENCE theory ,MATHEMATICS - Abstract
The aim of this paper is to present the concept of a parametric b-2 Metric space, which is a nonlinear version of the parametric b-metric, as well as to establish several fixed point theorems in these spaces. Before extending the finding of O. Ege and I. Karaca [Azerbaijan Journal of Mathematics, 7(1), 2017] to parametric b-2 metric spaces, some basic definitions and notions of parametric b-2 metric space are provided. We also present an example to show how our findings are applicable. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
18. Mathematics teachers' perception on mathematical proof.
- Author
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Hartono, Yusuf, Kurniadi, Elika, and Pratiwi, Weni Dwi
- Subjects
MATHEMATICS teachers ,MATHEMATICAL ability ,MATHEMATICAL proofs ,MATHEMATICS - Abstract
This paper aims to describe mathematics teachers' perception of mathematical proof. Proving in mathematics for the teacher is crucial as the foundation of developing students' skills in generating correct proof to some conjectures which require good mathematical reasoning. It has been highlighted in some works of literature that mathematical reasoning which is closely related to proving in mathematics also contributes to the development of a chosen set of 21st-century skills. A total number 152 of Indonesian in-service mathematics teachers were given a survey concerning their perception of mathematical proving. The description of the result consists of five important categories including the process of mathematical proof, thinking ability in mathematical proof, appropriate school level in learning proof, topic, and understanding in a mathematical proof. It is found that Indonesian in-service mathematics teachers had a positive attitude towards mathematical proof as a teaching approach in their classrooms, as the opportunity for students to improve helped students improve their thinking ability. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
19. Superordinate Knowledge Based Comprehensive Subset of Conceptual Knowledge for Practical Mathematical-Computational Scenarios.
- Author
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Rückemann, Claus-Peter
- Subjects
YEAR ,WORKFLOW software - Abstract
The results presented in this paper are based on the research conducted during the last years. Many multi-disciplinary and practical mathematical-computational data and application solutions require to exploit holistically complex scenarios. In many cases, data and algorithms as well as workflows have to be created and tackled individually. The goal of this research is to create an innovative, comprehensive tool base of conceptual knowledge in mathematical-computational application scenarios for arbitrary knowledge context in any media. The solution should be complementary to the commonly available knowledge and features and should fulfill a range of further criteria, especially for a coherent system of knowledge, multi-disciplinary, and data-centric. The result should allow to create and refer to facetted knowledge focussed on mathematical-computational scenarios. The paper presents the results of an implementation based on the fundamental methodology of superordinate knowledge. The solution is targeting mathematical-computational application scenarios and has been used for many practical implementations over more than three decades. The resulting comprehensive subset of conceptual knowledge reference divisions, which was created from this long-term research, is available and first published with this paper. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
20. PS- Regular Sets in Generalized Topology.
- Author
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Ukidve, Seema
- Subjects
TOPOLOGICAL spaces ,GENERALIZED spaces ,TOPOLOGY ,BETWEENNESS relations (Mathematics) ,MATHEMATICS - Abstract
In general topology, repeated applications of interior and closure operators give rise to several different new classes of sets. Someof them aregeneralized formof open setswhile few others are the so-called regular sets. These classes are foundto have applications not only inmathematics but even in diversefields outside the realm of mathematics [1–3]. Due to this, investigations of these sets have gainedmomentum in the recent days. Császár has already provided an umbrella study for generalized open sets in his latest papers [4–7]. In this paper, we introduce and study a new class of sets, called PS-regular sets, using semi-interior and semi-closure operators. Initially, we define them for a broader class, that is, for generalized topological spaces and discuss their various properties. Interrelationship of PS-regular setswith other existing classes such as semiopen sets, regular open sets, t-sets, α*-sets, B-sets, and C-sets has been studied. A characterization of semiconnectedness is also provided using PS-regular sets. Moreover, ξ-regular sets, where ξ∈ {α, β, π, σ}, of a generalized topological space are studied using PS-regular sets. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
21. Exploring light polarization with interactive computational modelling.
- Author
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Neves, Rui Gomes
- Subjects
- *
OPTICAL polarization , *INTERACTIVE learning , *MATHEMATICAL physics , *COGNITIVE dissonance , *LEARNING , *MATHEMATICS - Abstract
In physics and mathematics educational environments, meaningful learning paths should be balanced interactive explorations of the different epistemological and cognitive phases of the modelling cycle. Our approach in this context involves sequences of interactive engagement learning activities with computational modelling that explore the different kinds of modelling, progressively introduce scientific computation, generate, and resolve cognitive conflicts in the understanding of physics and mathematics, and comparatively analyze complementary mathematical model representations. In this work we present a learning sequence about light polarization for intermediate science, technology, engineering, and mathematics (STEM) university courses during which students can create and explore in the computer relevant mathematical physics models and animations that help and complement the learning processes in theoretical lectures and problem-solving paper and pen activities. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
22. Structure of numerical mathematics in math study programmes.
- Author
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Zuzana, Václavíková and Ondřej, Kolouch
- Subjects
- *
MATHEMATICAL programming , *CONCEPT learning , *PROGRAMMING languages , *TEACHING experience , *INSTRUCTIONAL innovations , *MATHEMATICS - Abstract
The field of numerical mathematics is one of the basic mathematical areas of training of future mathematicians. It plays an important role in the sense of connecting theoretical knowledge with practice. At the same time, it is one of the courses that specifically applies students' computer knowledge in solving mathematical problems. As a number of mathematical software and programming languages are emerging with the rise of IT technology, the question arises as to how to build the concept of teaching numerical mathematics. Models that have been used for a long time are already proving to be non-functional and significant innovation is needed. The paper will describe the structure of teaching numerical mathematics at the University of Ostrava, its innovations and teaching experience. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
23. Students' abilities in mathematical representation to solve mathematics problems.
- Author
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Utami, Nurul Audhifa, Sa'dijah, Cholis, and Chandra, Tjang Daniel
- Subjects
- *
MATHEMATICAL ability , *PROBLEM solving , *CRITICAL thinking , *GEOMETRIC connections , *MATHEMATICS , *MATHEMATICAL notation , *SECONDARY schools - Abstract
Mathematical representation is one of the fundamental abilities used in mathematics to build the connection between abstract ideas and logical thinking to understand and solve mathematics problems. The level of student representation ability will affect the way students convey the idea of solving mathematics problems. This shows how important this ability is in mathematics. But in fact, the ability of mathematical representation is felt to be less comprehensively mastered. This is indicated by the large number of students having difficulty conveying their ideas in solving mathematics problems. This paper describes students' abilities in mathematical representation to solve math problems. The indicators for mathematical representation ability in this research are classified as verbal representation (written text), visual representation (picture, diagram, graph, or table), and symbolise representation (mathematical statement, numerical/algebra symbol, mathematical notation). The subject of this research was 8-grade students of one of the junior secondary schools at Bukittinggi. The results showed that 22 out of 34 students have difficulty in conveying their ideas to solve math problems, while the rest feel quite good about it. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
24. High school mathematics learning philosophy based.
- Author
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Somakim, Darmawijoyo, and Usrol, Meirizal
- Subjects
- *
PHILOSOPHY of mathematics , *HIGH schools , *MATHEMATICS , *HIGH school students , *TEACHING aids - Abstract
This paper aims to examine the learning of mathematics using philosophy-based teaching materials for high school students. Philosophy-based teaching materials are in the form of Student Activity Sheets (LKPD) consisting of LKPD based on Anthology, LKPD based on Epistemology, and LKPD based on Axiology. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
25. Results of development research for rearranging mathematics learning after the Covid-19 pandemic.
- Author
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Lusiana and Kesumawati, Nila
- Subjects
- *
COVID-19 pandemic , *MATHEMATICS software , *RESEARCH & development , *MATHEMATICS education , *MATHEMATICS students , *MATHEMATICS - Abstract
The goal of this study is to outline the outcomes of analysis on the creation of useful math learning resources during the COVID-19 pandemic. The issue is that goods from the creation of math learning resources are required to counteract an acceleration in learning following the COVID-19 epidemic. Many of the results of development research, however, are only kept as study materials and are only preserved in Study Program documents or on Google Drive. The study was conducted utilizing the survey methodology, questionnaire data collection strategies, and development research outcomes papers completed by students of the Mathematics Education Study Program FKIP UPGRI Palembang during the COVID-19 epidemic. strategies for analyzing quantitatively described data. The outcomes of the development research take the form of products for math learning devices, with PBL/PBM, RME, CTL, and mathematics software being the most widely utilized learning models and methods. E-modules, LKPD/LKS, learning media in the form of video, and PPT are the most common product kinds. Algebra, Geometry, Calculus, trigonometry, statistics, and Arithmetic are among the mathematics topics covered throughout the development. The development's validity yields a product quality of 87.19%, while its practicality comes in at 85.48% and its potential impact is at 83.48%. According to the development research's findings, it should be given some thought if mathematics instruction is to be changed following the COVID-19 pandemic. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
26. Pocket money project : Supporting student understanding percent.
- Author
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Sagita, Laela, Putri, Ratu Ilma Indah, Zulkardi, Prahmana, Rully Charitas Indra, and Sugiman
- Subjects
- *
EDUCATIONAL finance , *FINANCIAL literacy , *STUDENT projects , *INTEREST rates , *MATHEMATICS education , *MATHEMATICS - Abstract
This paper aimed to describe the implications mathematics education in finance. Calculation of interest rates, discounts, profits, taxes, GDP growth requires basic arithmetic skills such as percentages. By imbuing financial literacy in math learning, not only do students know firsthand the use of percent in financial situations, but they are also increasingly knowledgeable about finance. Financial literacy in our study spans three dimensions: content, context, and process. By using the proportion and equation approach as well as two types of construction, namely the bar model and the circle model, we present the learning situation of monthly salary allocation table. Through this situation, students are expected to be able to construct fractional material and financial knowledge on salary and income content. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
27. Creative thinking skills of 7th grade junior high school students in solving the development of PISA-like mathematics problems questions related Wisata Sungai Musi context.
- Author
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Shafa, Shalshabilla, Zulkardi, and Putri, Ratu Ilma Indra
- Subjects
- *
JUNIOR high school students , *CREATIVE thinking , *MATHEMATICS , *STUDENT development - Abstract
This paper aims to develop a valid and practice the development of PISA-Like Mathematics Problems and produce a potential effect on creative thinking skills of 7th grade junior high school students in solving the development of PISA-Like Mathematics Problems in the context of Palembang tourism. This research is type of qualitative research. The result of this research is the development of PISA-Like Mathematics Problems with the characteristics of creative thinking skills using Merdeka curriculum, which in the curriculum is related to number material. In content using Quantity content. In context using a social context, namely "Wisata Sungai Musi". In terms of difficulty level categorized as application level. To conclude, the development of PISA-Like Mathematics Problems can teach students to learn mathematics and at the same time introduce students to the culture and tourism of Palembang. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
28. Game-based learning approach on students' motivation in mathematics learning: A systematic review of literature.
- Author
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Sari, Shinta, Elniati, Sri, Martin, Sri Novia, and Rusyda, Nurul Afifah
- Subjects
- *
GAMIFICATION , *ACADEMIC motivation , *MATHEMATICS , *MATHEMATICS education , *LEARNING , *GOAL (Psychology) - Abstract
The effectiveness of Game-based Learning (GBL) in fostering students' motivation to learn mathematics is examined in this systematic review. Nine related papers published between 2018 and 2022 were found after an extensive search of the electronic databases of ERIC. A systematic review methodology was used to analyze the studies, and the results were then synthesized and summarized. None of the research in this review found evidence of a negative impact of GBL on students' motivation to learn mathematics; instead, all studies found evidence of a positive impact. It benefits students' motivation for several reasons, including the engaging and dynamic learning environment, the quick feedback and rewards, and the demanding and goal-oriented learning experience that games may give. The game's design, degree of difficulty, student autonomy, use of feedback and rewards, and other factors play significant roles in determining how effective GBL is at encouraging students' motivation to learn mathematics. However, this effectiveness is not guaranteed. The design and implementation of GBL in the mathematics classroom should consider these elements seriously. Generally, the results of this review point to GBL as a potentially successful strategy for increasing students' motivation to learn mathematics. Game-based Learning (GBL) is a strategy educators should consider employing to engage students and increase their interest in and love of mathematics. However, the game's design and other elements that may affect it must be carefully considered. More research is required to completely comprehend GBL's potential in mathematics education and develop efficient implementation methods. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
29. Critical thinking through learning models based on Edmodo eliciting activities.
- Author
-
Susilawati, Wati and Sugilar, Hamdan
- Subjects
- *
CRITICAL thinking , *MATHEMATICAL ability testing , *DIGITAL technology , *MATHEMATICS , *MATHEMATICAL ability , *JUNIOR high schools , *TWO-way analysis of variance ,CRITICAL thinking ability testing - Abstract
COVID-19 pandemic requires professional teachers to use digital technology, but some students experience obstacles in technology so that it has an impact on their low critical thinking abilities. This paper aims to analyze mathematical critical thinking abilities between students who carry out learning models eliciting activities assisted by Edmodo and conventionally assisted by WhatsApp based on prior knowledge of mathematics. The research method used a quasi-experimental, non-equivalent pretest-posttest control group design. The sample was selected through a homogeneity test from 4 parallel classes of one junior high school in Bandung Indonesia, two classes were selected, namely class VIII A as the experimental class and VIII D as the control class. The instrument uses an initial mathematical ability test and critical thinking abilities. Data analysis uses: Two-way ANOVA test. Findings: There is a difference in the improvement of mathematical critical thinking abilities between experimental class and control class students. There are differences in the achievement of mathematical critical thinking abilities based on prior knowledge of mathematics in the smart, medium and weak categories. Learning models eliciting activities assisted by Edmodo can facilitate the process of construction, interaction and reflection so as to improve students' critical thinking abilities. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
30. A counter example to Steinberg conjecture.
- Author
-
Jansirani, N., Rama, R., and Dare, V. R.
- Subjects
LOGICAL prediction ,GRAPH theory ,PLANAR graphs ,MATHEMATICS - Abstract
In Graph theory, colouring is the best and most well-considered amplitude. The four-colour problem has contributed to great change in the world of mathematics. Graph colouring has become an essential of interest in graph theory. This often includes its disparate theoretical conclusions, its unconcluded issues and its several utilizations. Throughout this paper, the Conjecture Steinberg is studied with a counter example. Conjecture Steinberg states that "Each planar graph except cycles of length four or five is 3-colourable". Whereas an example by which there exists a planar graph with four or five cycle is 3-colourable is encountered for the Steinberg conjecture. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
31. Optimisation of microwave-assisted processing in production of pineapple jam
- Author
-
Norazlin Abdullah, Nur Aisyah Mohd Ismail, and Norhayati Muhammad
- Subjects
Water activity ,Soluble solids ,Direct heating ,Pulp and paper industry ,Microwave assisted ,Mathematics - Abstract
Pineapples are available all year round since they are unseasonal fruits. Due to the continuous harvesting of the fruit, the retailers and farmers had to find a solution such as the processing of pineapple into jam, to treat the unsuccessfully sold pineapples. The direct heating of pineapple puree during the production of pineapple jam can cause over degradation of quality of the fresh pineapple. Thus, this study aims to optimise the microwave-assisted processing conditions for producing pineapple jam which could reduce water activity and meets minimum requirement for pH and total soluble solids contents of fruit jam. The power and time of the microwave processing were chosen as the factors, while the water activity, pH and total soluble solids (TSS) content of the pineapple jam were determined as responses to be optimised. The microwave treatment on the pineapple jam was able to give significant effect on the water activity and TSS content of the pineapple jam. The optimum power and time for the microwav...
- Published
- 2017
32. Integer Properties of a Composition of Exponential Generating Functions.
- Author
-
Kruchinin, Dmitry V., Shablya, Yuriy V., Evsutin, Oleg O., and Shelupanov, Alexander A.
- Subjects
INTEGERS ,MATHEMATICS ,EXPONENTIAL generating functions ,POWER series ,PRIME numbers - Abstract
In this paper, we study a composition of exponential generating functions. We obtain new properties of this composition, which allow to distinguish prime numbers from composite numbers. Using the results of the paper we get the known properties of the Bell numbers (Touchard's Congruence for k = 0). [ABSTRACT FROM AUTHOR]
- Published
- 2017
- Full Text
- View/download PDF
33. On a subclass of meromorphic functions associated with convolution operators.
- Author
-
Jasem, Ibtihal Nasif and Juma, Abdul Rahman S.
- Subjects
- *
UNIVALENT functions , *MEROMORPHIC functions , *MATHEMATICS - Abstract
In this paper proposed, a novel subclass of meromorphic univalent functions has been introduced and defined. 풥(a, ℷ, A, B, μ) using convolution operator in U*. We have obtained some properties, like, coefficient inequality, growth and distortion bounds, radii of starlikeness and convexity, linear combination, closure theorems and extreme points. Mathematics Subject Classification: Primary 30C45 [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
34. The effect of paired learning on students' performance in year 6 mathematics HOTS items.
- Author
-
Yahaya, Mohd Mursyidi and Sulaiman, Hajar
- Subjects
- *
LEARNING , *ACADEMIC motivation , *MATHEMATICS students , *MATHEMATICS , *TEACHING methods , *STUDENTS - Abstract
Students' pattern of learning that does not involve active thinking will make it difficult for them to master the elements of higher order thinking skills (HOTS) in mathematics. Therefore, more effective learning methods need to be implemented to help students deal with this problem. This paper presents the results of a study after a cooperative method through paired learning was conducted on a selection of Year 6 students for the subject of Mathematics. The purpose of the study was to see the effectiveness of paired learning methods in the teaching and learning process of mathematics that apply the elements of HOTS. A total of twenty-eight Year 6 students from a school in Penang were selected as the sample for this study. Students' performance was tested before and after treatment to see if there was a difference between their performances. After that, a questionnaire was given to see the level of students' motivation and identify the factors contributing to their difficulties in mastering HOTS. From the results of this study, all students (100%) have shown an improved performance in the post-test. The mean scores from the questionnaire responses also indicated that students had a positive perception of the paired learning method. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
35. Analyzing contributing factors to online learning difficulties among mathematics students during Covid-19 pandemic using fuzzy DEMATEL.
- Author
-
Mohd Idris, Nur Ezzati Nafisah Binti, Mohd Hadi, Nurul Huda Binti, and Sulaiman, Nor Hashimah
- Subjects
- *
COVID-19 pandemic , *ONLINE education , *MATHEMATICS students , *MATHEMATICS , *VIRAL transmission , *TIME management , *FUZZY mathematics - Abstract
Prior to the COVID-19 pandemic, majority of universities in Malaysia commonly implement the teaching and learning practices on physical face to face basis. However, the pandemic had drastically changed the norm of the teaching and learning practices into online teaching and learning as one of the measures to curb the spread of the virus among the community. The drastic move had greatly affected the academic communities particularly the students. Some of the possible factors influencing online learning difficulties faced by the students include poor internet accessibility, lack of self-motivation, lack of active interaction with lecturers and peers, lack of conducive learning environment and poor time management. In this paper, the technique of Fuzzy DEMATEL is employed in analyzing the level of influence and relationships of the aforementioned factors in contributing to learning difficulties particularly among fifty mathematic students at a public university in Shah Alam, Selangor, Malaysia. The cause-and-effect analysis that take into consideration the interactions or interrelationships between factors discovered that poor internet accessibility was classified in the cause group whereas the remaining factors which are lack of self-motivation, lack of active interaction with lecturers and peers, lack of conducive learning environment and poor time management were in the effect group. The results indicate that poor internet accessibility has the highest degree of relation in terms of influencing other factors. Based on the prominence value, the lack of self-motivation turns out to be the leading factor contributing to online learning difficulties. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
36. Development of a linear algebra website for teaching and learning.
- Author
-
Halim, Suhaila Abd, Hadi, Normi Abdul, and Hamdan, Nur Izzati
- Subjects
- *
LEARNING Management System , *DIGITAL technology , *INTERACTIVE learning , *WEB development , *MATHEMATICS , *CLASSROOM environment - Abstract
Teaching and Learning Mathematics in the 21st centuries highly related to the digital technology used in the classroom. Mathematics is the best practice in the standard teaching and learning (T&L) process where the teacher and student physically attend the class. There is where the interaction and discussion on subject matter happened. However, due to the COVID-19, the practice needs to be changed drastically in which both sides of teacher and student are not allowed to have a physical class to avoid any contact. The learning process must proceed and adapt well to the current situation. A Learning Management system must be developed as a platform to digitally organize educational material. Due to that, this paper aims to illustrate the development of a website that is beneficial in T&L Mathematics courses. The content of the mathematics course chosen is Linear Algebra. There are various learning management systems, but the one that customizes the purpose and requirement of our class content can be developed by ourselves. Google offers a good package where google sites can be easily set up for that purpose. The content is arranged according to based on topics. In addition, the interactive learning environment is also embedded in developing the system to attract the student's attention during class hours. Live chat is also provided for the student to ask questions at their convenience time. Developing a customized learning management system can be an alternative for teachers to provide a digital environment to their students so that the process of T&L can be continued. Our website has been introduced to students, and their feedback is recorded. The result shows that students show positive responses while describing the website [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
37. Viscosity of color masterbatches and its influence on WPC production
- Author
-
Dipl.-Ing. Sven Wolf
- Subjects
Engineering drawing ,Viscosity ,Rheology ,Color changes ,Production (economics) ,Extrusion ,Pulp and paper industry ,Mathematics - Abstract
Color masterbatches are widely used in WPC production. As long as no product changes in terms of color will occur, the rheological behavior of color master batches as well as their influence on actual production conditions seems negligible. However, at short production runs or frequent color changes on the same product (within one shift), the rheological influence of color masterbatches to the WPC formulation is significant. Change of recorded production parameters are often observed and can also lead to production problems up to production stops. This presentation shows rheological analysis on color masterbatches, their influence to WPC formulations as well as their influence on WPC production in direct extrusion. Furthermore, possible strategies are discussed at the end.
- Published
- 2016
38. Kaolin Quality Prediction from Samples: A Bayesian Network Approach
- Author
-
T. Rivas, J. M. Matías, J. Taboada, C. Ordóñez, George Maroulis, and Theodore E. Simos
- Subjects
Mathematical model ,business.industry ,media_common.quotation_subject ,Bayesian probability ,Bayesian network ,Paper quality ,computer.software_genre ,Machine learning ,Expert system ,Support vector machine ,Quality (business) ,Artificial intelligence ,business ,computer ,Interpretability ,media_common ,Mathematics - Abstract
We describe the results of an expert system applied to the evaluation of samples of kaolin for industrial use in paper or ceramic manufacture. Different machine learning techniques—classification trees, support vector machines and Bayesian networks—were applied with the aim of evaluating and comparing their interpretability and prediction capacities. The predictive capacity of these models for the samples analyzed was highly satisfactory, both for ceramic quality and paper quality. However, Bayesian networks generally proved to be the most useful technique for our study, as this approach combines good predictive capacity with excellent interpretability of the kaolin quality structure, as it graphically represents relationships between variables and facilitates what‐if analyses.
- Published
- 2009
39. Technology-based mathematics leaning: What should be considered to design holographic digital learning media?
- Author
-
Nasution, Andrea Arifsyah, Armanto, Dian, and Elfitra
- Subjects
DIGITAL learning ,MATHEMATICS ,DIGITAL media ,MATHEMATICS education ,HOLOGRAPHY - Abstract
This paper attempts to provide information about designing digital holographic learning media especially in teaching and learning mathematics at University. To be detail, this study was conducted to provide educators at university information towards things need to be considered in designing such instrument. In this case, we depict several activities in making holograms to deliver mathematical insights for students for Calculus course. The study was carried out through developmental steps ADDIE, such as Analysis, Design, Development, Implementation, and Evaluation. This study was conducted at Mathematics Education Program, Medan State University, especially for students who enrolled Calculus course. The activities were described explicitly in each phase. The results of this study show that it takes time to make holographic digital media in teaching and learning process of mathematics, including university. In this case, there are several aspects that need to be considered in designing the media, such as (1) the learning topics; (2) contents; (3) object video/animation; (4) hologram application. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
40. A new generalization of Edelstein-Suzuki type fixed point theorem with applications.
- Author
-
Khantwal, Deepak, Aneja, Surbhi, and Joshi, B. C.
- Subjects
GENERALIZATION ,MATHEMATICS - Abstract
The aim of this paper is to present a result on the existence of fixed points for a system of mappings which generalizes the results of Edelstein (J. London Math. Soc. 37 (1962), 7479), Suzuki (Nonlinear Anal. 71 (2009), 11, 53135317.), Matkowski (Bull.Acad.Polon.Physics. 21 (1973), 323324) and many others. As an application, we establish a result on the existence of common fixed points for two systems of mappings, which supports our main finding. In addition, we also have an example to validate our main finding. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
41. Mathematics curriculum for intellectual disabilities schools in Indonesia and abroad: Literature review.
- Author
-
Muchyidin, Arif, Priatna, Nanang, Dahlan, Jarnawi Afgani, Marfuah, Marfuah, Pahmi, Samsul, Aisyah, Aisyah, Zulkarnain, Zulkarnain, Rohati, Rohati, and Kusmanto, Hadi
- Subjects
- *
CHILDREN with intellectual disabilities , *INTELLECTUAL disabilities , *CHILDREN with disabilities , *EDUCATION of children with disabilities , *LITERATURE reviews , *MATHEMATICS , *WORD problems (Mathematics) - Abstract
Education for children with special needs, especially with mild intellectual disabilities, has not received much attention from researchers and practitioners. The education of intellectual disabilities children also has the same right to develop according to the needs of the times as regular children's education in general. The changing and evolving needs of the times should also be followed by changes in the curriculum used, considering that one of the learning goals in special schools for intellectual disabilities children is to make the children who can live independently. In special schools for intellectual disabilities children in Indonesia, mathematics learning is combined with other lessons to discuss specific themes in everyday life. Based on an extensive literature search on the mathematics curriculum in special schools for intellectual disabilities children, this paper aims to review the literature involving two things: (1) mathematics education curriculum in special schools for intellectual disabilities children in Indonesia, and (2) mathematics curriculum in special education in Australia and Singapore. A view is also provided. This paper concludes that: (1) learning in special schools for intellectual disabilities children in Indonesia uses thematic learning where mathematics learning is focused on its usefulness in everyday life, (2) numeracy is the focus of education in Australia, not least for intellectual disabilities children, and learning Mathematics for mild intellectual disabilities children in Singapore includes the concepts of numbers, spaces, arithmetic procedures, problem solving and measurement. [ABSTRACT FROM AUTHOR]
- Published
- 2022
- Full Text
- View/download PDF
42. Chernoff product formula for C0-semigroups on L∞
- Author
-
Diana Monica Stoica and Ludovic Dan Lemle
- Subjects
Combinatorics ,Pure mathematics ,Exponential formula ,Computer Science::Discrete Mathematics ,Product (mathematics) ,Short paper ,Linear operators ,Mathematics - Abstract
The main purpose of this short paper is to present the Chernoff product formula from which we derive the exponential formula and the Lie-Trotter formula for C0-semigroups of linear operators on L∞.
- Published
- 2012
43. On the existence of evolution semigroups on L∞
- Author
-
Diana Monica Stoica and Ludovic Dan Lemle
- Subjects
Discrete mathematics ,Pure mathematics ,Exponential growth ,Semigroup ,Short paper ,Process (computing) ,Banach space ,Special classes of semigroups ,Group theory ,Mathematics - Abstract
The main purpose of this short paper is to introduce the evolution semigroup associated with an evolutionary process with exponential growth on L∞.
- Published
- 2012
44. Kato’s Type Inequality for Symmetric Diffusion Operators
- Author
-
Ludovic Dan Lemle, Flavius Lucian Pater, Adela Berdie, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, and Zacharias Anastassi
- Subjects
Pure mathematics ,Inequality ,Mathematics::Number Theory ,media_common.quotation_subject ,Mathematical analysis ,Short paper ,Mathematics::Analysis of PDEs ,Microlocal analysis ,Type inequality ,Operator theory ,Fourier integral operator ,Mathematical Operators ,Mathematics::K-Theory and Homology ,Diffusion (business) ,media_common ,Mathematics - Abstract
In this short paper, we present a Kato’s type inequality for symmetric diffusion operators.
- Published
- 2011
45. On the Topics of “Mathematical Optimization in Modern Medicine and Engineering” Symposium 2019.
- Author
-
Pater, Flavius, Herban, Sorin, and Rosu, Serban
- Subjects
MATHEMATICAL optimization ,APPLIED mathematics ,MATHEMATICAL analysis ,ENGINEERING ,MATHEMATICS ,MATHEMATICAL economics ,NORMED rings - Published
- 2020
- Full Text
- View/download PDF
46. Building bridges through mathematics.
- Author
-
Balmaceda, Jose Maria P., Kusnandar, Dadan, Yundari, Yundari, and Noviani, Evi
- Subjects
INDUSTRY 4.0 ,NATURAL disasters ,MATHEMATICS ,ENVIRONMENTAL health ,INTERNATIONAL organization - Abstract
In this rapidly changing world, mathematicians are increasingly being relied upon to provide insightful analysis, theory and tools to address current and emerging problems. These problems include highly complex issues such as vulnerability to natural disasters, economic uncertainties, and environmental and health hazards. These are among the many pressing challenges to our region that require multi- and trans-disciplinary approaches. In addition, the advent of the Fourth Industrial Revolution, marked by data-driven technology and economy, and the pervasiveness of social media, are changing the landscape of academia. As we develop our research capabilities and improve instruction at all levels, a deeper engagement with different sectors and stakeholders becomes imperative. We need to strengthen connections with individuals and institutions, both within and beyond our discipline and respective communities. By building these bridges, we widen our influence, expand our horizons, increase our relevance, and collectively, achieve more. In this paper, I will reflect on these connections including the role of national mathematical societies and international organizations such as the Southeast Asian Mathematical Society and the International Mathematical Union. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF
47. L[sup 1]-Uniqueness of Weak Solution for One-Dimensional mass Transport Equation
- Author
-
Ludovic Dan Lemle, Tudor Bi^nzar, Flavius Pater, Theodore E. Simos, George Psihoyios, and Ch. Tsitouras
- Subjects
Mass transport ,Numerical analysis ,Weak solution ,Short paper ,Mathematical analysis ,Heat transfer ,Uniqueness ,Convection–diffusion equation ,Mathematics - Abstract
In this short paper we present a necessary and sufficient condition for that the one‐dimensional mass transport equation has one unique L1 weak solution.
- Published
- 2009
48. E-assessment of mathematics courses using the Halomda platform.
- Author
-
Slobodsky, Philip and Durcheva, Mariana
- Subjects
- *
STUDENT assignments , *MATHEMATICS , *EDUCATIONAL outcomes - Abstract
The mode of assessment is one of the most important factors influencing learning as it affects how students organize their time and what subjects they focus on. It is well known fact that students may exhibit different abilities in different forms of assessment. In this paper, we show how e-assessment with the Halomda educational platform can enhance students' learning experiences. In addition, we present how technology-assisted math education can help students study at home and in the classroom, as well as support teachers in their routine work of checking student assignments. Results from teaching courses with Halomda demonstrate not only high student learning outcomes on the final exam, but also a good correlation between exam marks and weekly assignment marks. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
49. Some results of representation for lie algebras.
- Author
-
Sadeq, Hayder and Majeed, Taghreed
- Subjects
- *
REPRESENTATIONS of algebras , *VECTOR algebra , *LINEAR operators , *VECTOR spaces , *BILINEAR forms , *LIE groups , *LIE algebras , *MATHEMATICS , *TENSOR products - Abstract
Lie algebras appeared in mathematics at the end of the 19th century in connection with the study of Lie groups. A Lie algebra is a vector space over some field together with a bilinear multiplication is called the bracket which satisfies two simple properties: skew symmetric and Jacobi identity. The universal property of tensor product for representations of Lie algebras is a supporting conjugate of tensor product, which guarantees obtaining a linear map from a bilinear map. The main objective of the paper is to obtain results in representations for Lie algebra through the new structure consisting of four and five representations, by action of representation for Lie algebra. As well as obtaining new generalizations using dual action of representation for Lie algebra. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
50. The cone of experience: Role of ICT in mathematics teaching in Pesantren.
- Author
-
Hendriyanto, Agus, Martadiputra, Bambang A. P., Suryadi, Didi, Sahara, Sani, and Siswanto, Rizki D.
- Subjects
- *
LEARNING , *MATHEMATICS , *PHENOMENOLOGY , *TEACHING aids , *SCHOOL environment , *TRIANGULATION - Abstract
Nowadays, the need of ICT as a learning aid has potential role at the global scope. However, it sounds contradicts with the teaching and learning habit of the boarding schools or pesantren environment. It is an educational institution with strong and large cultural products, but reluctant to see the urgency of ICT implementation. This article aimed to examine students' learning experiences in mathematics at the role of ICT. The study was conducted using a qualitative approach with phenomenological methods. Research data were obtained through interviews and observations. Furthermore, triangulation of sources and triangulation of theory using Dale's classification or "the Cone of Experience" was carried out with regard to student learning experiences. The results showed that at this place: 1) the learning experience symbolically dominated the implementation of mathematics learning; 2) the iconic and enjoyable learning experience was only experienced by some students; 3) ICT had an important role in creating a symbolic, iconic, and enjoyable learning experience for students. This study provides strategic recommendations on how it can adapt the positive impact of ICT to support the learning process. While it deems impossible to stem the flow of ICT developments, this paper can serve as a reminder and a form of wake-up call to keep up with the demands and developments of the times. When ICT integration has not been implemented in mathematics learning, teachers should be able to create concrete learning experiences for students. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
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