Digital Ecosystem OntoMath: Mathematical Knowledge Analytics and Management

Елизаров, А. М.; Kirillovich, Alexander; Lipachev, Evgeny K.; Nevzorova, Olga

doi:10.1007/978-3-319-57135-5_3

Cited by 26 publications

(9 citation statements)

References 24 publications

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“…ere is no direct relationship between mathematical modeling activities and the development of mathematical knowledge system, so the teaching of mathematical modeling activities shall not focus on specific knowledge and content [17]. During mathematics teaching, the time of mathematical modeling activities can be reasonably arranged according to the actual needs to ensure that the number of class hours exceeds 4. e original intention of compiling the textbook is to improve students' mathematical level.…”

Section: Mathematical Modelingmentioning

confidence: 99%

Construction of Mathematical Modeling for Teaching Evaluation Index System Based on the Delphi AHP Method

Zhang¹

2022

Scientific Programming

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China plays an important role in the global basic education of mathematics. Moreover, China has a lot of educational experience and methods and trains many excellent talents in the field of mathematics. However, there are still various disadvantages in the process of mathematics teaching. The traditional exam-oriented education makes the talent thought of mathematics education lack openness. Teachers also focus on difficult problems, partial questions, and exam questions during teaching. When teaching, teachers cannot contact students' daily life, which has low value. Mathematics teaching methods are too rigid and lack attraction. Most teachers focus on contents in textbooks while students cannot understand the value of mathematics in learning. This results in the decline of most students' interest in mathematics courses. To solve this problem, mathematical modeling teaching is put forward. China has a short application time in this field, and mathematical modeling is complex and systematic. When dealing with mathematical modeling problems, we must be able to skillfully use the basic knowledge learned and also involve the knowledge of other disciplines, so we must realize the integration of the knowledge of various disciplines. In addition, mathematical modeling teaching attaches great importance to students' communication ability, mathematical interpretation ability, and teamwork ability. Teachers can improve students' ability; however, our teachers' abilities in mathematical modeling teaching are uneven and there are no relevant standards. Therefore, it is necessary to establish an evaluation index system to accurately judge teachers' abilities. Based on this, this study uses the Delphi AHP method to construct the evaluation index system and selects four criteria level indexes and 12 index level indexes to judge teachers' mathematical modeling teaching ability.

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Section: Mathematical Modelingmentioning

confidence: 99%

Construction of Mathematical Modeling for Teaching Evaluation Index System Based on the Delphi AHP Method

Zhang¹

2022

Scientific Programming

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“…However, the lack of integrated data from domestic publications often does not allow the implementation of these developments in full. Some foreign and domestic resources related to the topic under study can be noted: Digital Library of Mathematical Functions (dlmf.nist.gov); EMIS (www.emis.de); MacTutor History of Mathematics archive (turnbull.mcs.st-and.ac.uk); MathDiss database (mathdiss.mathguide.de); SciGuide (http://www.prometeus.nsc.ru/sciguide/); NIST Digital Library of Mathematical Functions (https://dlmf.nist.gov/); the European Mathematical Information Service (https://www.emis.de/); ELibM -Electronic Library of Mathematics; Zentralblatt MATH (https://zbmath.org); All-Russian portal Math-Net.Ru (http://www.mathnet.ru/index.phtml?&option_lang=eng); EqWorld (http://eqworld.ipmnet.ru/indexr.htm); OntoMathPro [20,21].…”

Section: Examples Of Representing Mathematical Knowledge In a Digital Environmentmentioning

confidence: 99%

The Role and Challenges of the Digitalization Process in the Preservation and Development of Scientific Schools

Ataeva

Serebryakov

Tuchkova

2021

Preprint

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The problem of preserving knowledge in the digital space arose in the middle of the last century and is gradually aggravated with the increase in the flow of digital information. The scientific community is faced with new challenges related to the speed of dissemination of information and scientific ideas. Classical scientific schools, which were the basis of university education, have undergone changes in connection with distance learning and the idea of openness of science as part of the common values of society. Against the background of increasing information noise, the search for reliable data is becoming an independent activity. The period of accumulation of digitized information is being replaced by the accumulation of knowledge in an integrated form, in the form of structured data. However, the increase in the number of information resources does not improve the quality of the information provided. One of the tasks of the scientific community is to provide an expert assessment of the accumulated digital knowledge. This assessment should be based on the authority of scientific schools. The paper discusses the problem of supporting information images of traditional scientific schools and their development in the digital space. On the example of the integration of mathematical knowledge, the tasks and ways of their solution in the process of assessing and preserving digitized knowledge are formulated. A variant of specialized author indexes and thesauri of mathematical schools is proposed. The content of the digital library LibMeta and the Russian Mathematical Encyclopedia edited by I.M. Vinogradov.

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“…При проектировании цифровой библиотеки Lobachevskii-DML использова-лись результаты по управлению математическими знаниями, полученные нами ранее, а также разработанные методы структурного и семантического анализа математических документов [7][8][9][10][11][12][13]. …”

Section: рис 2 поиск по формульным фрагментамunclassified

“…В [10,11] описана цифровая экосистема OntoMath, состоящая из онтологий, инструментов текстовой анали-тики и приложений, предназначенная для управления математическими знани-ями. Семантическое аннотирование математических текстов базируется на онто-логии, построенной в рамках проекта Mocassin, и онтологии профессиональной математики OntoMathPRO [12].…”

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“…Важным приложением, разработанным на ос-нове этих онтологий, является специальная программная платформа для подго-товки математического набора связанных данных для публикации в облаке LOD. Другим важным инструментом служит семантический сервис поиска по матема-тическим формулам [11]. Еще одно приложение экосистемы OntoMath -реко-мендательная система для коллекций физико-математических документов, поз-воляющая, в частности, построить список «близких» документов для заданного документа на основе объектов (см.…”

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