• Journal of Educational Research in Mathematics
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• v.14 no.3
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• pp.221-237
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• 2004

This research analyzed mathematical discourse of the students in an RME-based differential equations course at a university in order to investigate the social transformation of the students' conceptual model of differential equations. The analysis focused on the change in the students' use of conceptual metaphor for differential equations and pedagogical factors promoting the change. The analysis shows that discrete and quantitative conceptual model was prevalent in the beginning of the semester However, continuous and qualitative conceptual model emerged through the negotiation of mathematical meaning based on the inquiry of context problems. The participation in the project class has a positive impact on the extension of the students' conceptual model of differential equations and increases the fluency of the students' problem solving in differential equations. Moreover, this paper provides a discussion to identify the pedagogical factors Involved with the transformation of the students' conceptual model. The discussion highlights the sociocultural aspect of teaching and learning of mathematics and provides implications to improve teaching of mathematics in school.

• Education of Primary School Mathematics
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• v.19 no.1
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• pp.19-30
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• 2016

This study examined pre-service teachers' pedagogical content knowledge of fraction division in a context where they were asked to write a story problem for a symbolic expression illustrating a whole number divided by a proper fraction. Problem-posing is an important instructional strategy with the potential to create meaningful contexts for learning mathematical concepts, especially when real-world applications are intended. In this study, story problems written by 135 elementary pre-service teachers were analyzed with respect to mathematical correctness. error types, and division models. Patterns and tendencies in elementary pre-service teachers' knowledge of fraction division were identified. Implicaitons for teaching and teacher education are discussed.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.625-642
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• 2009

In the school mathematics the concept of tangent is introduced in several steps in suitable contexts. Students are required to reflect and revise their concepts of tangent in order to apply the improved concept to wider range of contexts. In this paper we consider the tangent as the optimal linear approximation to a curve at a given point and make three discussions on pedagogical aspects of it. First, it provides a method of finding roots of real numbers which can be used as an application of tangent. This may help students improve their affective variables such as interest, attitude, motivation about the learning of tangent. Second, this concept reflects the modern point of view of tangent, the linear approximation of nonlinear problems. Third, it gives precise meaning of two tangent lines appearing two sides of a cusp point of a curve.

• Communications of Mathematical Education
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• v.33 no.3
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• pp.255-273
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• 2019

In order to help students to understand the essence of prime concepts, this study looked at the history of prime concept development and analyzed how to introduce the concept of textbooks. In ancient Greece, primes were multiplicative atoms. At that time, the unit was not a number, but the development of decimal representations led to the integration of the unit into the number, which raised the issue of primality of 1. Based on the uniqueness of factorization into prime factor, 1 was excluded from the prime, and after that, the concept of prime of the atomic context and the irreducible concept of the divisor context are established. The history of the development of prime concepts clearly reveals that the fact that prime is the multiplicative atom is the essence of the concept. As a result of analyzing the textbooks, the textbook has problems of not introducing the concept essence by introducing the concept of prime into a shaped perspectives or using game, and the problem that the transition to analytic concept definition is radical after the introduction of the concept. Based on the results of the analysis, we have provided several pedagogical implications for helping to focus on a conceptual aspect of prime number.

• International Journal of Computer Science & Network Security
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• v.22 no.6
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• pp.25-32
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• 2022

The hypothesis of the study of the article is that the use of elements of artificial intelligence will increase the effectiveness of the educational process of the university if: a set of pedagogical conditions for the construction and use of an expert system with elements of artificial intelligence in the educational process of the university is revealed; a model for preparing a future teacher of vocational training for the use of elements of artificial intelligence has been developed; a special course has been developed that contributes to the implementation of the professional orientation of education. In accordance with this, the following tasks were studied in the article: An analysis of scientific and methodological research in the field of the current state, prospects for the development and use of elements of artificial intelligence in the preparation of a future teacher of vocational training and to determine the dynamics of the introduction of intelligent expert systems in education; A set of pedagogical conditions for the construction and use of an expert system with elements of artificial intelligence in the educational process of a university is revealed; It is substantiated to develop a model for preparing a teacher of vocational training to use elements of artificial intelligence.

• Communications of Mathematical Education
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• v.37 no.1
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• pp.47-64
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• 2023

The current elementary mathematics curriculum does not include intensive quantity. However, other subjects also deal with intensive quantity. In order to find a solution to this problem from a pedagogical point of view, the curriculum of mathematics, science, social studies, and elementary textbooks were compared and analyzed, focusing on intensive quantity. As a result of the analysis, the learning contents of intensive quantity were not explicitly presented or the term was not used in the elementary mathematics curriculum. However, intensive quantity was used as a material of activity and word problems in elementary mathematics textbooks. In science and social studies, it was also found that the learning order and content did not match, such as calculating the intensive quantity. For effective learning, it is necessary to consider presenting intensive quantity in elementary mathematics, and to be careful in the composition of learning order and content.

• International Journal of Computer Science & Network Security
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• v.22 no.7
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• pp.213-219
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• 2022

Building Ukraine as an independent, sovereign state requires the education of a citizen-patriot, able to live and work in a democracy, ensure the unity of Ukraine, feel constant responsibility for themselves, their people, country, seek to make a real contribution to the reform process. Modern modernization of the education system requires the search for new information and communication technologies that can ensure the formation of a citizen with an active civic position, which involves not only students mastering the rights and responsibilities of citizens, convincing them of the feasibility of democratic transformation of society, patriotic qualities and feelings, but also the identification of motivated civic actions. The pandemic and hostilities have led to significant changes in the field of education around the world, they have caused educational problems in Ukraine. At the beginning of the quarantine in the spring of 2020, all educational institutions in the emergency mode switched to distance learning. Intensive use of information and communication technologies in the life of modern society has led to a rethinking of the content of education and training of future professionals: the main role is played not so much by the information itself as the ability to work with it, critically comprehend and produce new knowledge; the main thing is not the amount of information, but its quality; information is needed for further practical application and transformation into knowledge, and the ability to work with information becomes one of the important competencies of the modern specialist in the new transformation of society: from information to the knowledge society. In this context, one of the main forms of training is distance learning, which is able to respond to the challenges of society. The main methodological positions that are taken into account in the construction of the structure and dynamics of the formation of civic responsibility of the individual during the use of information and communication technologies are highlighted. The structure of civil responsibility as a holistic system of information and communication technologies is outlined, which includes three subsystems that characterize the natural, social and systemic qualities of citizenship, interconnected hierarchically and synergistically.The constituent elements of the structural part of the model of civic culture of the individual are analyzed.

• International Journal of Computer Science & Network Security
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• v.22 no.10
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• pp.17-24
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• 2022

The article proves that the main goal of informatization of higher education institutions in the EU countries is to improve the quality of education of future specialists by introducing digital educational resources into the education process. The main tasks of informatization of education are defined. Digital educational resources are interpreted as a set of data in digital form that is applicable for use in the learning process; it is an information source containing graphic, text, digital, speech, music, video, photo and other information aimed at implementing the goals and objectives of modern education; educational resources on the Internet, electronic textbooks, educational programs, electronic libraries, etc. The creation of digital educational resources is defined as one of the main directions of informatization of all forms and levels of Education. Types of digital educational resources by educational functions are considered. The factors that determine the effectiveness of using digital educational resources in the educational process are identified. The use of digital educational resources in the training of future specialists in the EU countries is considered in detail. European countries note that digital educational resources in professional use allow you to implement a fundamentally new approach to teaching and education, which is based on broad communication, free exchange of opinions, ideas, information of participants in a joint project, on a completely natural desire to learn new things, expand their horizons; is based on real research methods (scientific or creative laboratories), allowing you to learn the laws of nature, the basics of techniques, technology, social phenomena in their dynamics, in the process of solving vital problems, features of various types of creativity in the process of joint activities of a group of participants; promotes the acquisition by teachers of various related skills that can be very useful in their professional activities, including the skills of using computer equipment and various digital technologies.

• Korean Management Science Review
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• v.19 no.2
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• pp.41-58
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• 2002

New attempt has been made on Management Science (MS) education since the end of 1990s. The most distinctive feature of the new attempt is using spreadsheet program like Excel as a teaching tool for MS course. The spreadsheet program gives an excellent tool for modeling and solvina MS problems. In order to improve the pedagogical effect through using the spreadsheet program for MS course, new teaching model based on spreadsheet encompassing new course contents, effective instruction method, and examination method is needed. For this purpose, professors teaching MS should share their own teaching experiences and methods. So this paper explains remarkable functions of Excel and how to use them for the MS tools. This paper also stresses the importance of team project and case study to improve the effect of MS education through the use of Excel and presents some tips on MS education.

• Journal of the Korean Institute of Educational Facilities
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• v.5 no.4
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• pp.39-45
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• 1998

In this information-oriented society, the ability to manage and process the rapidly increasing amount of information has become an absolute requirement. Students of today must prepare for the challenges of the upcoming 21st century through developing skills in computers and by nurturing a creative mind and the aptitude to resolve problems. In terms of its pedagogical function and range and applicability, multimedia will surpass all other tools of education, owing to its flexibility and openness. This study provides actual case examples of the construction and utilization of the multimedia environment and proposes factors that must be considered in the construction of the multimedia environment.