scholarly journals Sa skya Paṇḍita’s Classification of Arguments by Consequence Based on the Type of the Logical Reason: Editorial Conundrum and Mathematics for Commentators

2018 ◽  
Vol 46 (5) ◽  
pp. 845-887
Author(s):  
Pascale Hugon
2020 ◽  
Author(s):  
Fatimah Alshamari ◽  
Abdou Youssef

Document classification is a fundamental task for many applications, including document annotation, document understanding, and knowledge discovery. This is especially true in STEM fields where the growth rate of scientific publications is exponential, and where the need for document processing and understanding is essential to technological advancement. Classifying a new publication into a specific domain based on the content of the document is an expensive process in terms of cost and time. Therefore, there is a high demand for a reliable document classification system. In this paper, we focus on classification of mathematics documents, which consist of English text and mathematics formulas and symbols. The paper addresses two key questions. The first question is whether math-document classification performance is impacted by math expressions and symbols, either alone or in conjunction with the text contents of documents. Our investigations show that Text-Only embedding produces better classification results. The second question we address is the optimization of a deep learning (DL) model, the LSTM combined with one dimension CNN, for math document classification. We examine the model with several input representations, key design parameters and decision choices, and choices of the best input representation for math documents classification.


2021 ◽  
pp. 1-24
Author(s):  
Uma Natarajan ◽  
Aik Ling Tan ◽  
Tang Wee Teo

Abstract STEM education, when perceived as integrated learning that encompasses knowledge, skills and practices of Science, Technology, Engineering and Mathematics, points to a need to re-examine ways of classification of school subjects and learning. Consequently, dilemmas related to integrated STEM education arise. School leaders are faced with the task to organize teams to address issues such as the ownership of STEM, identity issues such as STEM teacher or teacher of STEM subjects, evaluation of STEM programs and resources to support STEM education. The unique characteristics of integrated disciplines demand leaders who understand the unique characteristics and demands of each discipline and to apply them to build a synergistic platform to magnify the similarities and harness the differences for learning. In this paper, we present an argument for STEM leadership to focus on building STEM teachers’ agency, identity and sense of belonging to a community. These three aspects are important for meaningful planning, enactment and sustainability of STEM programs since teachers’ beliefs, intentions, actions and empowerment are known to be instrumental in the success of many educational reforms.


With the tremendous growth in the areas of computing, statistics, and mathematics has led to the rise of the emerging field of expertise, named ‘Data Science’. This paper focuses on the comparative study and evaluation of the data science libraries used in Python Programming Languages, named ‘Matplotlib’ and ‘Seaborn’. The sole purpose of this paper is to identify areas and evaluate the strengths and weaknesses of these libraries with the implementation of code and identify the classification of the univariate and multivariate plotting of data concerned with patterns of data visualization and computational modelling of data in the form of processed information using techniques of big data and data mining


2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Zhao Li ◽  
Tianyong Han

The fractional perturbed Gerdjikov–Ivanov (pGI) equation plays a momentous role in nonlinear fiber optics, especially in the application of photonic crystal fibers. Constructing traveling wave solutions to this equation is a very challenging task in physics and mathematics. In the current article, our main purpose is to give the classifications of traveling wave solutions of the fractional pGI equation. These results can help physicists to further explain the complex fractional pGI equation.


Author(s):  
Tatyana A. Boronenko ◽  
Vera S. Fedotova

The authors of the article consider the issue of how future teachers of Computer Science and Mathematics are going to perceive the terminology of the digital world. The authors note that the terminological system “digital” arises as a result of digitalisation of all spheres of human activity. The results of the classification of digital terminology into thematic groups on the basis of decoding their lexical and semantic meaning are presented. The authors consider the issue of the most productive understanding of digital terminology based on the allocation of thematic groups "Space", "Time". “Form and Matter”, “Consumption”, “Technological Transformations”, “Human in the Digital World”. The authors review scientific works from different fields of science, they select phrases with the adjective “digital”. The authors create assignments to identify understanding of digital terminology. The authors determine special attention to the most accessible and complicated understanding of the lexical meaning of the thematic group, they compare the volumes of thematic groups. The novelty of the research lies in the definition of the lexical and semantic group of digital terminology. Topicality of the research lies in the need to expand the vocabulary of a teacher of Computer Science and Mathematics of digital terminology, to build a digital terminology system. The authors prove that the most capacious thematic group is the group “People in the Digital World”. The authors conclude that an assessment of the current level of mastering digital terminology by a Computer Science and Mathematics teacher is to reveal problems in the lexical interpretation of new words in schoolchildren.


Author(s):  
Liliane Xavier Neves ◽  
William Henrique Maximiano da Silva ◽  
Marcelo de Carvalho Borba ◽  
Beatriz Naitzki

Neste artigo será discutido o processo de classificação dos vídeos participantes da primeira edição do Festival de Vídeos Digitais e Educação Matemática visando a análise das tendências que giram em torno das produções submetidas ao evento. O I Festival foi criado como uma ação do projeto “Vídeos Digitais na licenciatura em Matemática a Distância” com o intuito de promover a produção colaborativa de vídeos, por professores e estudantes, que expressam ideias matemáticas, além de estabelecer um lócus para a interação entre estudantes do Ensino Superior e da Educação Básica. Em sua primeira edição foram submetidos 121 vídeos ao Festival. A abordagem metodológica adotada foi qualitativa, considerando o caráter descritivo da pesquisa, o interesse particular no processo, além da realização de uma análise indutiva dos dados. A classificação dos vídeos foi realizada a partir de sua observação repetitiva, precedida da descrição de eventos críticos, estes últimos relacionados aos recursos utilizados pelos estudantes para transmitir a mensagem mediante a produção de significados. Tais recursos são definidos como modos na Semiótica Social, abordagem teórica que fundamenta este estudo. A codificação emergente resultou em quatro grupos, nos quais os 121 vídeos estão inseridos, intitulados Vídeo narrativa, Videoaula, Vídeo artístico e Vlog. A organização dos vídeos em grupos fornece subsídios para uma discussão sobre as principais tendências do I Festival traçando interesses dos estudantes com relação às metodologias utilizadas para trabalhar conceitos matemáticos. Além disso, os resultados levam a uma discussão sobre a visão que os estudantes têm da Matemática.   Palavras-chave: Multimodalidade. Semiótica Social. Tecnologias Digitais.   Abstract In this article will be discussed the classification process of the videos participating in the first edition of the Festival of Digital Videos and Mathematics Education aiming to analyze the trends that revolve around of these productions. O I Festival was created as an action of the project “Digital videos in distance learning Mathematics” with the intention of promoting the collaborative production of videos by teachers and students, who express mathematical ideas, as well as establishing a locus for interaction between students of all levels of education. In its first edition were submitted 121 videos to the Festival. The methodological approach adopted was qualitative, considering the descriptive character of the research, the interest in the process, besides the accomplishment of an inductive analysis of the data. The classification of the videos was made from their repetitive observation preceded by the description of critical events, the latter related to the resources used by the students to transmit the message through the production of meanings. These resources are defined as Modes in Social Semiotics, the theoretical approach that underlies this study. The emerging coding resulted in four groups in which the videos are inserted, titled Narrative Video, Video lessons, Artistic Video and Vlog. The organization of the videos provides subsidies for a discussion about the main trends of the I Festival by tracing students’ interests in relation to the methodologies used to work on mathematical concepts. In addition, the results lead to a discussion about the students' view of Mathematics.   Keywords: Multimodality. Social Semiotics. Digital Technologies.  


2017 ◽  
Vol 55 (1) ◽  
pp. 189-210
Author(s):  
Usep Mohamad Ishaq ◽  
Wan Mohd Nor Wan Daud

Ibn al-Haytham (d. 1039) is a well known scholar for his contributions in natural and mathematical sciences. The research focuses on his works in sciences and mathematics and only a few studies carry out on his contribution on philosophy due to the lack of the primary sources. The only known surviving Ibn al-Haytham’s work on philosophy is Kitāb Thamarah al-ḥikmah. However, few studies have examined and explored this work. Based on this work, the present study tries to scrutinize Ibn al-Haytham’s epistemology and focused mainly on his classification of knowledge. The comparative study of Ibn al-Haytham’s classification of knowledge and that of al-Fārābī‘s, Ibn Ḥazm’s, Ṭūsī’s, and al-Ghāzālī  is also carried out. The result shows that Ibn al-Haytham has two mode of classifications: the ontological and epistemological. It is also obvious that Ibn al-Haytham tries to integrate Greek philosophy and sciences within the worldview of Islām. The results of the present study also suggests that the nexus between the concept of classification of knowledge and the concept of perfect man (al-insān al-tāmm) is obvious.[Ibn al-Haytham (w. 1039) adalah sarjana yang dikenal sumbangsihnya dalam ilmu-alam dan matematika. Penelitian-penelitian hingga saat ini cenderung difokuskan pada karya-karya sains dan matematikanya saja dan hanya sedikit dilakukan pada karya-karya filsafatnya karena kurangnya rujukan primer. Satu-satunya karya Ibn al-Haytham yang ada dalam bidang filsafat adalah Kitāb Thamarah al-Ḥikmah. Namun, studi yang dilakukan untuk meneliti dan mengeksplorasi karya ini sejauh ini amat kurang. Berdasarkan karyanya tersebut, kajian ini mencoba untuk meneliti dengan seksama epistemologi Ibn al-Haytham dan utamanya difokuskan pada klasifikasi ilmu pengetahuan. Studi perbandingan antara klasifikasi ilmu Ibn al-Haytham dengan al-Fārābī‘s, Ibn Ḥazm’s, Ṭūsī’s, and al-Ghāzālī juga dihadirkan. Hasil penelitian menunjukkan bahwa Ibn al-Haytham memiliki dua cara klasifikasi ilmu pengetahuan. Juga sangat nampak bahwa Ibn al-Haytham mencoba memadukan filsafat dan sains Yunani dalam pandangan alam Islam. Kajian ini juga menunjukkan bahwa terdapat hubungan yang jelas antara konsep klasifikasi ilmu pengetahuan dengan konsep manusia sempurna (al-insān al-tāmm)]


2021 ◽  
Vol 14 (9) ◽  
pp. 1399-1419
Author(s):  
Viktor A. Dalinger ◽  
◽  
Natalya A. Moiseeva ◽  
Tatyana A. Polyakova ◽  
◽  
...  

The article is devoted to the study of the development of interdisciplinary integration on the example of the disciplines «Computer Science» and «Mathematics» in training future engineers in the digitization era. It is considered the trends and directions for development of engineering education at the world level, among which a special role is given to the CDIO approach for implementing interdisciplinary training of future engineering personnel on the base of student-centered learning. It is revealed that information and mathematical modeling is the system-forming factor in the integration of knowledge in Computer Science and Mathematics. It is proposed a classification of IMM on the basis of which it is possible to create integrated educational and practical tasks with interdisciplinary content. In the experimental part of the research methods of questionnaire, survey, experiment are involved. In order to realize mutual integration of information and mathematical training the authors developed the scheme of implementation of the models in independent work of students throughout the entire training at ecosystem of technical university. It is defined student-centered learning technology and it is formulated the methodological recommendations for its implementation of the processes of mutual integration of the disciplines in the process of its teaching to students of engineering specialties of universities


2021 ◽  
Vol 34 (2) ◽  
pp. 63-79
Author(s):  
Vera Radović ◽  
Oliveira Mihajlović-de ◽  
Teodora Todović

The paper presents the results of the theoretical analysis of the scientific (original scientific papers, reviews, and short scientific papers) and professional papers investigating the problem of individualization in teaching, that were published in the Teaching Innovations journal from 1983, when the first issue of the journal was published, until the last published issue No. 4 in 2020. The aim of the research in this paper was to critically inspect how the problem of individualization in teaching was treated in the research papers published in the journal and to draw lessons about the conceptual and methodological approaches and implications for teaching practice in modern terms. The units for theoretical analysis were: the number of the relevant papers in relation to the total number of the papers by the year of publication of the journal, the type of the papers according to the current classification of papers published in the journal, theoretical aspects from which the authors consider the problem of individualization in teaching, and methodological approach. The results of the research show that during 33 years of publishing the Journal, 63 papers have been published that research the problem of individualization in teaching; the majority of the papers are professional papers; analytical approach prevails in the research (literature analysis and analysis of specific classes). The authors usually start from a general didactic approach, while methodological aspect is most common in the treatment of individualization in the Serbian language teaching and mathematics teaching. Based on the results of the analysis, some implications are pointed out from the aspect of development of student competencies and professional competencies of teachers.


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