• Communications of Mathematical Education
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• v.35 no.1
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• pp.119-136
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• 2021

We performed the research and education programs using engineering tools such as Mathematica, Microsoft Excel and GeoGebra for the students in mathematics mentorship program of the institute of science education for the gifted. We used the engineering tools to solve the problems and found the rules by observing the solutions. Then we generalized the rules to theorems by proving the rules. Mathematica, the professional mathematical computation program, was used to calculate and find the length of the repeating portion of the repeating decimal. Microsoft Excel, the spreadsheet software, was used to investigate the Beatty sequences. Also GeoGebra, the dynamic geometric software, was used to investigate the Voronoi diagram and develop the Voronoi game. Using GeoGebra, we designed the Voronoi game plate for the game. In this program, using engineering tools improved the mathematical creativity and the logical thinking of the gifted students in mathematics mentorship program.

• 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.

• Education of Primary School Mathematics
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• v.14 no.3
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• pp.303-316
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• 2011

The purpose of this study was to analyze a first grader's number sense in playing the searching complement of ten game. For this purpose, the researcher conducted the game with a first-year student and analyzed her number sense based on conversations in playing games. The results obtained in this study were as follows: First, the student had a very big interested in the game and it was easily converted into additional situations. Second, she fully understood the rules of the game and made the complement of the given number. However, she was not good at making complement of twelve. Third, she made new rules like using three or four cards. She easily made the number 10 with two cards, but she didn't easily understand how to make 10 with more than three cards.

• Journal of Korea Game Society
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• v.13 no.6
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• pp.95-110
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• 2013

Current up-to-date courses of study put emphasis on raising creative students. However, the cramming methods of teaching mathematics in the school seems far from the creativity and the number of students who feels mathematics difficult is increasing. To overcome this situation, the government proposed 'the mathematics education using storytelling', which leads to lots of developments of mathematics using serious game in many areas. However most of the current serious games couldn't do away with the deductive framework of mathematics, which makes it impossible to achieve the purpose of raising creative students. This is because existing mathematics serious games have not deeply contemplated many aspects such as the purpose and theories of teaching and teaching mathematics. Therefore, in order to overcome the limitations of cramming methods in existing mathematics educations, this research proposes the new method of developing serious game contents for elementary geometry that is useful to improve mathematical intuition, based on RME, the theory of teaching/learning mathematics.

• Journal of Korea Game Society
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• v.19 no.6
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• pp.5-14
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• 2019

In this paper, we propose a modeling and simulation of group behavioral movement of pedestrians using Agent based and Cellular Automata model in intelligent game environment. The social behaviors of the crowds are complex and important, and based on this, the prototype game-model was implemented to show the crowd interaction on AB and CA in the game environment. Our experiment revealed the promise of group behaviour as a cost-efficient, yet accurate platform for researching crowd behaviour in risk situations with real models.

• Journal of Korea Game Society
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• v.7 no.2
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• pp.53-60
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• 2007

This paper proposes the knowledge structure of an extended script for advertisement style game embodiment. This approach is able to allow for developing game and advertisement module. Research to reconsider contradictory awareness about existent game have been evolving from game education system, advertisement style game and simulation game for training and so on. In this paper, a situation hierarchy structure which allows the designer for simulating high-level specifications of game structure. And we describes with mathematical structure for proposed situation structure. Game unfolding utilizes with causality. Game reflects situation of a spatiotemporal real world. For this goal, we applied extended script to game world. Advertisement style module progresses by method to provide company's advertisement to user while game is gone. The advantage of proposed method are able to allows for novice to effectively insert banner image, video and so on into advertisement module. The proposed method was implemented in the "Shooting BaDuk" among games.

• Honam Mathematical Journal
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• v.35 no.3
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• pp.389-394
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• 2013

It is an interesting problem to study fixed points of an element in the holonomy group of an affine manifold. We compute the limit of a sequence of projective transformations and verify relations between fixed points and kernels.

• Journal of the Chungcheong Mathematical Society
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• v.13 no.1
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• pp.13-20
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• 2000

The purpose of this paper is to give a new existence theorem of a generalized weight Nash equilibrium for generalized multiobjective games by using the quasi-variational inequality due to Yuan.

• Journal of the Chungcheong Mathematical Society
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• v.19 no.1
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• pp.19-26
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• 2006

In this paper, using the fixed point theorem for acyclic factorizable multifunctions, we shall prove an existence theorem of general best proximity pairs and equilibrium pairs for free generalized games.

• Honam Mathematical Journal
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• v.32 no.1
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• pp.53-60
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• 2010

The concept of discrete curvature is a discretization of the curvature. Many literatures introduce discrete curvatures derived from arc length of circular arcs. We propose a new concept of discrete curvature of a polygon at each vertex, which is derived from area of fan shapes. We estimate the error of the discrete curvature and compare the discrete curvature with old one.