• Journal of Educational Research in Mathematics
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• v.25 no.1
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• pp.95-111
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• 2015

The purpose of this study is to analyze cases on teaching solutions exploration of Wythoff's game through using the analogy for the gifted elementary students, to suggest useful teaching methods. Students recognized structural similarity among problems on the basis of relevance of conditions of problems. The discovery of structural similarity improves the ability to solve problems. Although 2 groups-NIM game with surface similarity is not helpful in solving Wythoff's game, Queen's move game with structural similarity makes it easier for students to solve Wythoff's game. Useful teaching methods to find solutions of Wythoff's game through using the analogy are as follow. Encoding process helps students make sense of the game. It is significant to help students realize how many stones are remained and how the location of Queen can be expressed by the ordered pair. Inferring process helps students find a solution of 2 groups-NIM game and Queen's move game. It is necessary to find a winning strategy through reversely solving method. Mapping process helps students discover surface similarity and structural similarity through identifying commonalities between the two games. It is crucial to recognize the relationship among the two games based on the teaching in the Encoding process. Application process encourages students to find a solution of Wythoff's game. It is more important to find a solution by using the structural similarity of the Queen's move game rather than reversely solving method.

• Journal of Korea Game Society
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• v.7 no.3
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• pp.23-30
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• 2007

Game balance is an very important factor for game design, it is necessary factor to make game more fun. Most of game companies have been using their own balance method for successful game development. An efficient balance method always can't guarantee successful game development but it is true for game developer to need standard balance method for efficient game development. Fighting system between characters is mainly implemented in genre including action. Direct balance factors for fighting between characters are their characteristics and attack patterns. In this paper, We identify direct balance factors for game including fighting system between characters and propose mathematical method for it.

• Communications of Mathematical Education
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• v.33 no.2
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• pp.67-84
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• 2019

The purpose of this study is to investigate the effectiveness of intensive inquiry activity through intensive camp for 2 hours and 3 days in summer vacation and 100 hours of classes from March to December 2018 by selecting 2 middle school students using OKMINDMAP for creative education. It is the result. The teacher was the assistant, and the research problem was selected by two students themselves, and the variation of the fractal dimension was investigated and the Chaos game was shown to be possible in the modified Sierpinski triangle.

• Proceedings of the Korean Society of Computer Information Conference
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• 2023.07a
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• pp.397-398
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• 2023

본 논문은 음성인식 기술을 활용한 게임과 교육 분야의 연계성에 대한 연구를 제시한다. 음성인식 게임은 사용자의 음성 명령을 인식하고 상호작용을 가능하게 함으로써 학습자의 참여와 흥미를 유발한다. 관련 연구들은 음성인식 게임이 언어 학습, 수학 학습, 학습 장애 학생 지원 등 다양한 교육 분야에서 효과적으로 활용될 수 있다는 것을 보여준다. 음성인식 게임은 교육 환경에서의 음성인식 기술의 잠재력을 제시하며, 추가 연구가 필요하다는 결론을 도출한다.

• Communications of Mathematical Education
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• v.36 no.3
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• pp.439-467
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• 2022

The future society requires not only knowledge but also various competencies, including creativity, cooperative spirit and integrated thinking. This research develops a program for integrating mathematics and information science to enhance important mathematical competencies such as problem-solving and communication. This program does not require much prior knowledge, can be motivated using everyday language and easy-to-access tools, and is based on creative problem-solving activities with multilateral cooperation. The usefulness and rigor of mathematics are emphasized as the number of participants increases in the activities, and theoretical principles stem from the matrix theory over finite fields. Moreover, the activity highlights a connection with error-correcting codes, an important topic in information science. We expect that the real-world contexts of this program contribute to enhancing mathematical communication competence and providing an opportunity to experience the values of mathematics and that this program to be accessible to teachers since coding is not included.

• The KIPS Transactions:PartC
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• v.18C no.2
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• pp.97-102
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• 2011

Since the game theory provides a theoretical ground to distribute a shared resource between demanding users in a fair and efficient manner, it has been used for the bandwidth allocation problem in a network. However, the bandwidth allocation schemes with different game theory assign different amount of bandwidth in the same operational environments. However, only the mathematical framework is adopted when a bandwidth allocation scheme is devised without quantitatively comparing the results when they applied to the bandwidth allocation problem. Thus, in this paper, we compare the characteristics of the bandwidth allocation schemes using the bankrupt game theory and the bargaining game theory when they applied to the situation where nodes are competing for the bandwidth in a network. Based on the numerical results, we suggest the future research direction.

• Journal of Korea Game Society
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• v.17 no.1
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• pp.7-16
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• 2017

The 3D game graphic technology has become an important factor in the contents field with the game contents development. In particular, game character technology provides a realistic technique and visual pleasure, as well as an intermediate step in the immersion of the game in which the game might create an optical illusion that enables the player to enjoy heroic adventure in the game. The high expression level of characters in 3D games is a key factor in the development process, with details and carefulness of the character setting work [3]. In this paper, we propose a character representative technique applied to mobile games using mathematical model of radiosity energy, spectral radiance model, and ray tracing model method using 3D unity game engine with sensible AI algorithm for game implementation. As a practical application to the game contents, it was found that the projection of the surface in the rendering process and the game simulation might change according to the lighting condition of the game content environment, so that the high quality of game characters was simulated.

• Journal of the Korean Institute of Intelligent Systems
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• v.14 no.3
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• pp.253-261
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• 2004

Game theory is mathematical analysis developed to study involved in making decisions. In 1928, Von Neumann proved that every two-person, zero-sum game with finitely many pure strategies for each player is deterministic. As well, in the early 50's, Nash presented another concept as the basis for a generalization of Von Neumann's theorem. Another central achievement of game theory is the introduction of evolutionary game theory, by which agents can play optimal strategies in the absence of rationality. Not the rationality but through the process of Darwinian selection, a population of agents can evolve to an Evolutionary Stable Strategy (ESS) introduced by Maynard Smith. Keeping pace with these game theoretical studies, the first computer simulation of co-evolution was tried out by Hillis in 1991. Moreover, Kauffman proposed NK model to analyze co-evolutionary dynamics between different species. He showed how co-evolutionary phenomenon reaches static states and that these states are Nash equilibrium or ESS introduced in game theory. Since the studies about co-evolutionary phenomenon were started, however many other researchers have developed co-evolutionary algorithms, in this paper we propose Game theory based Co-Evolutionary Algorithm (GCEA) and confirm that this algorithm can be a solution of evolutionary problems by searching the ESS.To evaluate newly designed GCEA approach, we solve several test Multi-objective Optimization Problems (MOPs). From the results of these evaluations, we confirm that evolutionary game can be embodied by co-evolutionary algorithm and analyze optimization performance of GCEA by comparing experimental results using GCEA with the results using other evolutionary optimization algorithms.

• Journal for History of Mathematics
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• v.22 no.3
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• pp.153-170
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• 2009

Zoltan, P. Dienes is a famous researcher and practitioner who has tried to teach mathematical structures to children for about 50 years. Even though his ideas of teaching mathematics and materials including MAB have been well known in Korea, they are only a part of his achievement he has developed for his whole life. So this article is designed for taking an overview of his whole life and achievement and getting some implications for today's mathematics education. In this article, his life story could be divided by five periods in terms of a scholastic career and his research achievement could be reorganized with respect to five theses: psychology of learning mathematics, mathematical curriculum, teacher education, games and material for mathematical learning. As a result, it is found that there is a deep connection between his personal life and his scholastic career.

• Education of Primary School Mathematics
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• v.14 no.1
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• pp.57-67
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• 2011

The purpose of this study is to discuss the way and the purpose of presenting math puzzles in classroom. Firstly, the characteristics of math puzzles are discussed and the various uses of math puzzles are looked for. Secondly, The author illustrates models of classroom teaching with puzzles. Thirdly, The author discusses what subjects of mathematics could be dealt with in the math puzzle classroom. Finally, The author indicates that the teaching with math puzzles give chance of feeling 'mathematical composure' not only to students but also to teachers.