• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.567-581
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• 2010

The basic direction of mathematical education for a 21st century is focused on helping student to understand mathematics and develop their problem solving abilities, mathematical dispositions and mathematical thinking. Elementary mathematics teachers should help students make sense of mathematics, confident of their ability, and make learning environment comfortable for students to participate in. The best way is to provide chances to play a game for students, considering educational value of game and new directions for mathematical education. Therefore I would like to develop an mathematical game to conform mathematical ideas, and apply it, as well as strengthen students' mathematical disposition such as confidence, flexibility, interest and curiosity to improve quality of mathematical education. If students are helped to be interested in mathematics through mathematical games, they regard mathematics as interesting and challengeable subject to let themselves think many ways.

• Journal of Korea Game Society
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• v.21 no.4
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• pp.109-116
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• 2021

In this paper, we considered that recently 3D game characters have been almost alike realistic expression because of a great mathematical computation and efficient techniques on GPU hardware. We presented the rendering technique and analysis for 3D game characters to simulate and render mathematical approach model from recent researches to perform the game engine for the surface reflection of lighting model. We compare our approach with the existing variant rendering techniques here using Open GL shader language on game engine. The experimental result will be provided the view-dependent visual appearance of variant and effective modeling characters for realistic expression using existing methods on the GPU for effective simulations and rendering process. Since there are many operations that are used redundantly while performing mathematical operations, the necessary functions and requirements have been to compute in advance.

• Bulletin of the Korean Mathematical Society
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• v.56 no.6
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• pp.1497-1510
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• 2019

In this paper we compute the stopping times in the game Rock-Paper-Scissors. By exploiting the recurrence relation we compute the mean values of stopping times. On the other hand, by constructing a transition matrix for a Markov chain associated with the game, we get also the distribution of the stopping times and thereby we compute the mean stopping times again. Then we show that the mean stopping times increase exponentially fast as the number of the participants increases.

• Journal of Korea Multimedia Society
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• v.21 no.12
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• pp.1504-1512
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• 2018

The purpose of this study is to design and apply a simple game that can visually experience basic concepts of game mathematics in order to teach game mathematics effectively. To do this, simple games linked with game mathematical theory are to be developed by utilizing the functions provided by Unity so that students could actively learn game mathematics. To demonstrate the plausibility of this approach, "Bouncing Ball Game" was developed to understand the concept of periodicity of trigonometric functions. As a result, students were able to effectively learn how mathematical concepts related to ball movements applied to the game.

• Journal for History of Mathematics
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• v.25 no.4
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• pp.101-119
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• 2012

The removal of the Go Stones is a game that anyone can play through simple rules. It is not only an interesting game but also a mathematical game that requires comprehensive knowledge of several mathematical theories. Through analyzing the rules and theories of this game, students can get a new mathematical perspective and recognize something that they didn't realize as important before. Furthermore, this game is given to students as a mathematical problem unconsciously. This helps them get a mathematical approach to understanding the actual concept of the problem as well as the basic principle of the problem.

• 한국게임학회지
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• v.8 no.1
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• pp.32-38
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• 2011

The help or guide sentences of educational math games which use mathematical statements need to represent graphical forms for the learners of the game generation whose cognitive style is graphic first. In this paper, we proposed an object-based visual representation method for mathematical statements. It has object-based description rules to use graphical symbols and mathematical symbols with text words. It is easy to describe or to understand accurately mathematical meaning and is also fast for learners to read for understanding. The proposed method is good for learners of the game generation to get the help as scaffolding for learning math by educational games.

• Journal of Educational Research in Mathematics
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• v.10 no.2
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• pp.199-214
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• 2000

The constructivism is an important stream of the recent trends of mathematics education. In order for students to construct their knowledge for themselves, above all, it should be a prerequisite that they participate in actively, Using games helps students to participate in learning mathematics actively. I think, up to now, mathematics teachers use games mainly for motivation and it does not connect to true learning mathematics through using games. So, the purposes of this study are developing the mathematical games connecting to mathematical contents closely, designing the teaching models to connect game activities to learning mathematics, and developing several teaching plans using games to mathematics class. In this study, I propose what conditions 'good' game should have, classify games as practice game, concept learning game, and strategy game, and develop 43 games from 1 to 6 grade. And I design the teaching models depending on the game types and develop the teaching plans.

• Communications of the Korean Mathematical Society
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• v.27 no.2
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• pp.425-430
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• 2012

In this paper, we will prove a social equilibrium existence theorem of a generalized Nash game with affine constraint correspondences which is comparable with Nash's equilibrium existence theorem in several aspects.

• Journal of the Chungcheong Mathematical Society
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• v.24 no.2
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• pp.213-219
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• 2011

In this paper, we will prove an equilibrium existence theorem of a non-compact acyclic strategic game with affine constraint correspondences which is comparable with equilibrium existence theorems due to Debreu, Nash, Kim-Kum, and Lu in several aspects.

• Journal of Educational Research in Mathematics
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• v.26 no.1
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• pp.143-157
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• 2016

This study aims to find out the feasibility and effectiveness of mathematical games as a way to provide primary pre-service teachers with doing mathematics. The game had induced the active participation of elementary pre-service teachers. Through transforming the game, the teachers have been able to experience of mathematical problem posing and generating mathematical representation. Based on this, we discuss the role of mathematical games as a method of pre-service teacher education.