• Journal of the Korean School Mathematics Society
• /
• v.14 no.3
• /
• pp.355-375
• /
• 2011

This paper was designed for the purpose of helping the functional comprehension on the concept of a circumcenter and an incenter of triangle and offering the help for teaching-learning process on their definitions. We analysed the characteristic of the definition on a circumcenter and an incenter of triangle and studied the context, mean and purpose on the definition. The definition focusing on the construction is the definition stressed on the consistency of the concept through the fact that it is possible to draw figure of the concept. And this definition is the thing that consider the extend of the concept from triangle to polygon. Meanwhile this definition can be confused because the concept is not connected with the terminology. The definition focusing on the meaning is easy to memorize the concept because the concept is connected with the terminology but is difficult to search for the concept truth. And this definition is the thing that has the grounds on the occurrence but is taught in a made-knowledge. The definition focusing on both the construction and meaning is the definition that the starting point is vague in the logical proof process. We hope that the results are used to improve the understanding the concept of a circumcenter and an incenter of triangle in the field of mathematical education.

• Journal of the Korean School Mathematics Society
• /
• v.22 no.4
• /
• pp.369-393
• /
• 2019

The purpose of this study is to find the commonality between process-focused assessment and existing performance evaluation and to find out whether the process-focused assessment is effective for the development of the character of school mathematics. By analyzing the previous research, this study defined the meaning of process-focused assessment as an evaluation that can improve students' growth and quality of class through immediate feedback by introducing various performance tasks and evaluation methods. The character of school mathematics refers to personality factors that are easily expressed and cultivated during math classes. Therefore, this study presented examples of the feasibility of process-focused assessment focusing on geometry and vector subjects and examined the effectiveness of mathematics and character development through process-based evaluation. Four course-based assessments (math experiments, logic, proof, and communication) aimed at cultivating the character of school mathematics were conducted from March to June 2019 for the third year of high school. The index was measured. Analysis of the results using the corresponding variable t-test showed that the process-based evaluation in this study had a significant effect on the character of school mathematics development.

• Communications of Mathematical Education
• /
• v.23 no.1
• /
• pp.85-108
• /
• 2009

The purposes of the study were to develop instructional materials based on Freudenthal's guided reinvention principle for teaching proofs and to investigate how the teaching method based on guided reinvention principle affects on 8th grade students' ability to write proofs and learning attitude toward proofs. Teaching based on guided reinvention principle placed emphasis on providing students opportunities to make a mathematical statement and prove the statement by themselves throughout various activities such as exploring, conjecturing, and testing the conjectures. The study found that students who studied proving with instructional materials developed by guided reinvention principle showed statistically higher mean scores on the posttest than students who studied by a traditional teaching method depending onteacher's explanation. Especially, on the posttest item which requested to prove a whole statement without presenting a picture corresponding to the statement, a big difference among students' responses was found. Many more students in the traditional group did not provide any response on the item. According to the results of the questionnaire regarding students' learning attitudes, the group who studied proving by guided reinvention principle indicated relatively more positive attitudes toward learning proofs than the counterparts.

• Journal of the Korea Academia-Industrial cooperation Society
• /
• v.15 no.5
• /
• pp.2769-2777
• /
• 2014

This research herein aims to assist maximizing performance of introduced systems by managing the acceptance factor of uTradeHub that is easily overlooked in the system installation process by trading companies aiming to install uTradeHub system in future by conducting the two following things: i) grasping factors affecting system usefulness and user satisfaction derived from uTradeHub acceptance factor, and ii) analyzing the effect relationship of system usefulness on user satisfaction at an inspection level of system usefulness and user satisfaction, since the uTradeHub system introduced for mid- and small-sized trading companies in export and import works in mid-2008. Proof analysis was conducted by using SPSS 19.0 statistic package on data of 112 effective responses collected through questionnaire surveys, whose results are as follows. First, the uTradeHub acceptance factors having a significant effect on system usefulness are relative advantage, easy of use, task adaptedness, support of CEO, maturity of IT infrastructures, and degree of education/training. Second, the uTradeHub acceptance factors having an effect on user satisfaction are relative advantages, task adaptedness, support of CEO, maturity of IT infrastructures, and degree of education/training. Third, system usefulness showed a significant effect on user satisfaction.

• Journal of Korean Philosophical Society
• /
• v.148
• /
• pp.101-128
• /
• 2018

While there are various opinions about the relationship of Schiller's thought and Kant's, it is undeniable that Schiller owes much to Kant. What distinguished Schiller from other Weimar thinkers at his time, such as Goethe, Herder and Wieland, was that unlike them Schiller accepted Kant's project of critical philosophy. In fact, Schiller did not just accept it, but tried to interpret and formulate anew the relation of beauty and morality and some other aesthetical-ethical ideals on the basis of the new philosophy. Schiller's famous project of 'aesthetic education of mankind' itself is the product of such an endeavor. In this work we follow the history of Schiller's acceptance of Kant's critical philosophy and ruminate over its implications. And then, we'll show that Schiller's 'beautiful soul' in Grace and Dignity (1793), which is often suggested to be a proof of Schiller's conflict with Kant, was understood on the basis of Kant's moral theory. In this part of the work, we compare Schiller's ideal of the 'beautiful soul' and Shaftesbury's ethical thought, which is often presumed to be its background. From this comparison we'll be able to see that there is a considerable disparity, despite apparent similarities, between Schiller's and Shaftesbury's ethical ideals, which is due to their respective philosophical sources, that is neo-platonic metaphysics and Kant's critical philosophy.

• Communications of Mathematical Education
• /
• v.37 no.1
• /
• pp.65-84
• /
• 2023

The method of Lagrange multipliers, one of the most fundamental algorithms for solving equality constrained optimization problems, has been widely used in basic mathematics for artificial intelligence (AI), linear algebra, optimization theory, and control theory. This method is an important tool that connects calculus and linear algebra. It is actively used in artificial intelligence algorithms including principal component analysis (PCA). Therefore, it is desired that instructors motivate students who first encounter this method in college calculus. In this paper, we provide an integrated perspective for instructors to teach the method of Lagrange multipliers effectively. First, we provide visualization materials and Python-based code, helping to understand the principle of this method. Second, we give a full explanation on the relation between Lagrange multiplier and eigenvalues of a matrix. Third, we give the proof of the first-order optimality condition, which is a fundamental of the method of Lagrange multipliers, and briefly introduce the generalized version of it in optimization. Finally, we give an example of PCA analysis on a real data. These materials can be utilized in class for teaching of the method of Lagrange multipliers.

• The Mathematical Education
• /
• v.61 no.2
• /
• pp.287-303
• /
• 2022

The purpose of this study is to draw implications for the improvement in the CSAT by analyzing structures and tasks in the Abitur. To this end, it analyzes the mathematics test system with a focus on the basic and advanced level examination systems, the operator, the using technology, and mathematical formulas. And the characteristics of tasks in the 2021 Abitur were analyzed. As a result of the analysis, first, Germany evaluates whether students have the competency emphasized in the curriculum at Abitur. Second, Germany, which emphasizes the proper use of technology, utilizes both tasks that use technology and those that do not in the Abitur. Third, the Abitur consists of most of the tasks using promised operators and uses various types of operators to present various types of questions to evaluate competence. Fourth, the Abitur includes not only simple structured items consisting of 2-3 subtasks but also tasks dealing in depth with a single situation centered on a big idea. Finally, mathematical justification and proof play an important role in the Abitur. Based on this, some specific measures for improving the CSAT were suggested.

• Trans-
• /
• v.2
• /
• pp.1-38
• /
• 2017

Dance, as an art which expresses thoughts and emotions by movement human, is included in work that its copyright has to be protected, choreographers who are creators and dancers who are performing can exercise their rights included in copyright laws. However, artists who work in the dancing scene have lack of awareness about copyrights and the application level is low. The purpose of this thesis is to look into the current status and issues about dance copyright and to discuss activation plans and effectiveness plans for dance copyrights. The main point is to check into the level of awareness for dance copyrights with choreographers, dancers and students majoring in dance who are in charge of the art of dancing, to present issues about the necessity of the dance copyrights protection plans by analyzing interviews-in-depth and to prepare the dance copyrights protection plans which are concretely realistic. For the research methods, first, I looked into ideas and contents about copyrights through a document research and then, wanted to prepare theoretical background by reviewing actual cases of performing art copyrights related to dance. Next, I carried out surveys about awareness of copyrights with students majoring in dance, choreographers and dancers then carried out analysis of actual proof. Also, I chose three famous dancers who are actively performing in the current dancing scene and did interviews-in-depth about dance copyrights then carried out a recording analysis. I tried to complement the analysis by discussing deeper which I couldn't deal with in the previous surveys and to contemplate awareness activation of dance copyrights and plans. As a result of the research, the level of the awareness about dance copyrights through age, major, education and career was very low. The level of awareness was almost same compared to the previous research 10 years ago. 'Music', which can be an element of copyright issue in dance, was the highest in rate, and dance was recognized as an art which is combined with various elements as a combination work. The way of protection for works of choreography and performance only used data preservation and contracts and didn't register copyrights or record in dace notation. Majority of responders answered that they couldn't have any education about copyrights while they were recognizing the necessity of education and management for copyrights. The analysis of interviews-in-depth was also matched to the result of the previous surveys and a deeper discussion about the status of dance copyrights and issues was carried out. The plans of effectiveness for dance copyrights through the result of previous research are as followings. First, an advanced education is necessary above all to increase the awareness and application of copyrights in dancing scene. Long-term education like study curriculums and short-term education like special courses and seminars should be combined, and education about copyrights for dance groups, choreographers, dancers and students majoring in dance should keep on going. Second, revision of performing art works is necessary for the activation of dance copyrights, and establishing a dance copyright association to manage copyrights systematically and training dance copyright experts are necessary as well. Third, as the way of copyright protection for choreographers and dancers, an establishment for relation gain and loss about copyrights is necessary when creating dance works and performing, and registration of dance works should be activated. Also, the dancing scene should sign contracts for choreography and performance and this contract culture should be activated, and it should systematically preserve and manage choreography and performance records through basic ways. Hereby, it is considered to prepare a foundation to foster the awareness of dance copyrights and activate dance copyrights.

• Journal of the Korean association of regional geographers
• /
• v.20 no.1
• /
• pp.49-69
• /
• 2014

The theory of creative city can be seen as one that reflects a relationship between recent change of economic environment and socio-spatial reconstruction in the so-called 'cultural turn' to deindustrialization. This paper considers approaching methods to knowledge-based economy or cultural economy as a context of development of theory of creative city, and suggests types of conceptualization of creative city. Then it reviews creative perspectives which can be found in recent domestic and oversea research trends on creative city, especially relating its nature with neoliberalism. Finally this paper discusses critically the concept of creative class as a social constitution of creativity or creative economy, and that of creative city as its spatial constitution. The concept of creative class can be criticized in terms of ambiguity of the concept of class, class-biased and economy-privileged idea, market valorization of culture, individualization against community, normalization of flexible labor market, and uncertainty of economic success of creative city. The concept of creative city can be criticized in terms of limitation of interests to city, ignorance of national and global dimensions, decontextual normative vision, legitimation of neoliberal city, lack of proof of causality between creative class and economic success, polarization of within and between cities.

• Journal of Distribution Science
• /
• v.4 no.1
• /
• pp.141-160
• /
• 2006

The esthetic center skips over the dimension of simply theoretical knowledge by the specialization, segmentation, and gentrification and the importance of the technical education which introduced into the spot experienceis raising its head. And the esthetic center's importance which copes with the environment changing actively is being cognized. The franchisee system of esthetic shows that while the domestic market is opened, the appearance of foreign famous brand-centered is increasing rapidly. According to this kind of trend, every kind of mediums will not stop the classified ad of franchisee and it will be recognized as the promising sector. Especially, the situation of franchisee is that franchisors and franchisees in the limited relationship and just plan the growth, so the success possibly can be very high. The diffusion of franchisee system and the study about the franchisee are developed on the diverse view points. But still now, the study is just formed from the enterprise's success and the franchisors view point, the study about the franchisees dimension is very small. But it is also very important to exam the decision factors of franchisees success because the franchisors result of franchisee system will come out with franchisee performance totally. In this paper, it will actually proof if the decisive factors that exert influence on the franchisee performance in the franchisee dimension, exert influence on the franchisee performance in substance; and exam what kind of relationship the franchisee performance have with the franchisors and recontract intention. According to this, we can draw out the rest decision factors of improving the franchisee performance, and also show the strategic implication of franchisee efficient marketing.