• International Journal of Computer Science & Network Security
• /
• v.24 no.1
• /
• pp.1-8
• /
• 2024

In contemporary education, the rapid advancement of digital technologies elevates demands for integrating the latest tools into the learning process. Mathematical analysis, as a discipline, benefits from computer mathematics in distance education, enhancing practical aspects and enabling individualized learning. This article addresses the integration of the Maple computer mathematics system into higher education, specifically in teaching "Mathematical Analysis." Emphasizing its role in distance learning, computer mathematics optimizes the educational environment, reducing the time required for knowledge acquisition. The article showcases the application of Maple in finding extremum points and introduces an educational software simulator, enabling students to practice the method. The simulator, developed within Maple, facilitates self-checking and enhances the study of functions. Conclusions drawn from the study highlight the positive impact of these tools on distance education, affirming Maple's role in enhancing professional training and information culture among higher education students.

• The Pure and Applied Mathematics
• /
• v.19 no.4
• /
• pp.363-381
• /
• 2012

Shortfall risk is considered by taking some exposed risks because the superhedging price is too expensive to be used in practice. Minimizing shortfall risk can be reduced to the problem of finding a randomized test ${\psi}$ in the static problem. The optimization problem can be solved via the classical Neyman-Pearson theory, and can be also explained in terms of hypothesis testing. We introduce the classical Neyman-Pearson lemma expressed in terms of mathematics and see how it is applied to shortfall risk in finance.

• Proceedings of the Korean Operations and Management Science Society Conference
• /
• 2000.10a
• /
• pp.149-152
• /
• 2000

The chartered bus scheduling is to determine the allocation of buses to customer service requests. For the scheduling, we first represent the scheduling problem using a graph and develop a mathematical model. Second, we develop an algorithm for the scheduling problem including heuristic methods. We tested the performance of the algorithm on instances with real data. As a result, the total empty load driving time is reduced over 10% comparing with that of current practice at the company

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 1993.06a
• /
• pp.1238-1241
• /
• 1993

A fuzzy mathematical model is presented that can be applied to support the inspection of organizations by an internal or external evaluation group. The model offers the opportunity to deal with the situation of common practice in which such evaluations are considered as a time series rather than single events. A hypothetical but realistic example is given to illustrate the computational procedure involved.

• The Pure and Applied Mathematics
• /
• v.15 no.3
• /
• pp.229-243
• /
• 2008

This paper is intended to clarify and verify two representation algorithms computing representations of elements of free groups generated by two linear fractional transformations. Moreover in practice some parts of the two algorithms are modified for computational efficiency. In particular the justification of the algorithms has been rigorously done by showing how both algorithms work correctly and efficiently according to inputs with some properties of the two linear fractional transformations.

• Proceedings of the Acoustical Society of Korea Conference
• /
• 1994.06a
• /
• pp.758-763
• /
• 1994

The work discusses the problems of modelling of the process of acoustic signal generation in machines. We have pointed out that in the task of minimizing of both moise and vibration, the key problem is identification of sources and paths of propagation, both in terms of their location and of definition of their characteristic features. Properly conducted identification makes possible the use of relatively simple mathematical models and this fact is particularly important for a broad application of the proposed methods in practice.

• Communications of Mathematical Education
• /
• v.34 no.2
• /
• pp.41-68
• /
• 2020

The purpose of this study is to analyze the cognition of per-service teachers, who experienced a teacher education process for developing their discursive competency, about relations between class plan and class practice as well as discursive competency required in class process. For this purpose, 15 pre-service teachers participated in the course of mathematics teaching theory for developing discursive competency and their final projects including the process of analysing their own teaching discourse after actually teaching middle or high school students were collected as data and analyzed. Results show that they realized that there were differences between class plan and class practice after having experienced unexpected teaching and learning situations, recognized the importance of discursive competency learned from the course, and reflected on their discursive competency in conjunction with their classes. These results imply that the course contributed to pre-service teachers' cognitions of the existential possibility of discursive competency. which helps to develop a teaching method combining teachers' knowledge and practice, the importance of discursive competency, and the need for developing it. The course also provided practical ideas about a teacher education program to develop prospective teachers' discursive competency

• School Mathematics
• /
• v.16 no.4
• /
• pp.709-726
• /
• 2014

The purpose of the study was to pay attention to the studies of P. Cobb which have actively been quoted in the international research of mathematics education for the last three decades and to look at the result and effect of his research. In particular, we in-depth studied theories and the methods of the study which he has tried to reduce the gap in the theory and practice and investigated effects of his research to the Korean societies of mathematics education. Cobb made special effort to integrate radical constructivism and social constructivism and used emergent theory and symbolic interactionism as theoretical background of the study. Also he analyzed the mathematics classroom in individual and social perspectives based on the interpretive frames of social norm, sociomathematical norm and classroom-mathematical practices then dealt with equity and identity of the students. Because Cobb contributed significantly to the development of practical theory using design experiment as the method of studies, we presented the definition, characteristics, principles, processes and practices of the design experiment. We anticipate that his ways of research would be used as means of unifying the theory and the practice in school.

• School Mathematics
• /
• v.17 no.1
• /
• pp.47-63
• /
• 2015

In this study, we will develope and apply the education program for mathematical creativity, with the open-ended problems about development figure. The purpose of this study is to categorize the elements of the mathematical creativity in consideration of the real class, and is to design a education program that reflects this. To do this, from 2006 through 2014, by targeting 205 gifted students in the sixth grade until eighth grade of Busan, Gyeongnam, Gyeongbuk were carried out in class. Also in this study, we will examine the process and the results of its application. As a result, students' outcomes and behavioral reactions brought about a qualitative development of the program, and students became aware of the participants in the development of the program. These results suggest the aim of developing a education program for mathematical creativity, as well as the effectiveness of this education program.

• Journal of Elementary Mathematics Education in Korea
• /
• v.5 no.1
• /
• pp.77-98
• /
• 2001

This study has a purpose to find out how the problem posing activity by presenting the problem situation effects to the mathematical problem solving ability. It was applied in two classes(Experimental group-35, Controlled group-37) of the fourth grade at ‘D’ Elementary school in Bang Jin Chung nam and 40 Elementary school teachers working in Dang Jin. The presenting types of problem situation are the picture type, the language type, the complex type(picture type+ language type), the free type. And then let them have the problem posing activity. Also, We applied both the teaching-teaming plan and practice question designed by ourself. The results of teaching and learning activities according to the type of problem situation presentation are as follows; We found out that the learning activity of the mathematical problem posing was helpful to the students in the development of the mathematical problem solving ability. Also, We found out that the mathematical problem posing made the students positively change their attitude and their own methods for mathematical problem solving.