• Title/Summary/Keyword: NIM game

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A Case Analysis of Inference of Mathematical Gifted Students in the NIM Game (NIM 게임에서 수학 영재의 필승전략에 대한 추론 사례)

  • Park, Dal-Won
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.405-422
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    • 2017
  • Nim games were divided into three stages : one file, two files and three files game, and inquiry activities were conducted for middle school mathematically gifted students. In the first stage, students easily found a winning strategy through deductive reasoning. In the second stage, students found a winning strategy with deductive reasoning or inductive reasoning, but found an error in inductive reasoning. In the third stage, no students found a winning strategy with deductive reasoning and errors were found in the induction reasoning process. It is found that the tendency to unconditionally generalize the pattern that is formed in the finite number of cases is the cause of the error. As a result of visually presenting the binary boxes to students, students were able to easily identify the pattern of victory and defeat, recognize the winning strategy through game activities, and some students could reach a stage of justifying the winning strategy.

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A Study on the Cases of the Problem Posing which the Mathematically Gifted Students Made in the NIM Game (수학영재들이 NIM 게임 과제에서 만든 문제 만들기 사례 분석)

  • Song, Sang-Hun;Chong, Yeong-Ok;Yim, Jae-Hoon;Shin, Eun-Ju;Lee, Hyang-Hoon
    • Journal of Educational Research in Mathematics
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    • v.17 no.1
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    • pp.51-66
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    • 2007
  • The purpose of this study is to analyse the cases of the posed problems while the mathematically gifted students are playing the NIM game. The findings of a qualitative case study have led to the conclusions as follows. Most of all mathematically gifted students in the elementary school are not intend to suggest the solutions of the posed problem unless the teacher or the 'problem is requested. But a higher level of promising children were changing each data components of a problem in a consistent way and restructuring the problems while controlling their cognitive process. This is compared to that a relatively lower level of promising children tends to modify one or two data components instantly without trying to look at the whole structure. And we gave 2 suggestions to teach the mathematically gifted students in the problem posing.

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A Case Study on Teaching Solutions Exploration of Wythoff's Game through Using the Analogy for the Elementary Gifted Class (초등학교 영재학급에서 유추를 활용한 위도프 게임의 해법 탐구 지도 방법)

  • Bae, Sin Young;Song, Sang Hun
    • 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.

Case Analysis on the Signification Model of Three Signs in a Mathematically Gifted Student's Abstraction Process (수학 영재의 추상화 학습에서 기호의 의미 작용 과정 사례 분석)

  • Song, Sang-Hun;Shin, Eun-Ju
    • School Mathematics
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    • v.9 no.1
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    • pp.161-180
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    • 2007
  • The purpose of this study is to analyse how a mathematically gifted student constructs a nested signification model of three signs, while he abstracts the solution of a given NIM game. The findings of a qualitative case study have led to conclusions as follows. In general, we know that most of mathematically gifted students(within top 0.01%) in the elementary school might be excellent in constructing representamen and interpretant But it depends on the cases. While a student, one of best, is making the meaning of object in general level of abstraction, he also has a difficulty in rising from general level to formal level. When he made the interpretant in general level with researcher's advice, he was able to rise formal level and constructed a nested signification model of three signs. We suggested 3 considerations to teach the mathematically gifted students in elementary school level.

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Relationships between Children's Aggression and the Variables as Individual, Family, and School Adjustment (아동의 개인, 가족 변인 및 학교적응과 공격성의 관계)

  • Lee, Kyung-Nim
    • Korean Journal of Human Ecology
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    • v.15 no.1
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    • pp.31-44
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    • 2006
  • This study examined relationships between children's aggression and the variables such as individual, family, and school adjustment. For this study, individual variables included age, self-esteem, and game-addiction tendency. Family variables included mother's controlling parenting, child-abuse, parents' marital conflict. As for school adjustment, teacher relations, peer relations, classroom and rule adjustment in school were examined. The sample consisted of 642 children of the fifth and sixth grade in Busan. Statistics and methods used for data analysis included frequency, percentage, Cronbach's alpha, factor analysis, two-way Anova, Pearson's correlation, and Hierarchical Regression. Several major results were found from the analysis: First, boys' aggression was higher than girls'. But no age difference was found in children's aggression. Second, game-addiction tendency had a positive correlation with children's aggression. In addition, self-esteem had a negative correlation with boys' aggression. Third, mother's controlling parenting had a positive correlation with children's aggression. Child abuse had a positive correlation with boys' aggression, and parents' marital conflict with girls' aggression. Fourth, teacher relations, peer relations, classroom and rule adjustment in school had a negative correlation with boys' aggression. In addition, rule adjustment in school had a negative correlation with girls' aggression. Fifth, game-addiction tendency, rule adjustment in school, self-esteem, mother's controlling parenting and teacher relations in school were important variables predicting boys' aggression. On the other hand, game-addiction tendency and rule adjustment in school were important variables predicting girls' aggression.

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An Artificial Adaptation Model by Means of the Endoparasitic Evolution Process (내부기생충의 진화과정을 모방한 인공적응 모형)

  • Kim, Yeo-Keun;Lee, Hyo-Young;Kim, Jae-Yun
    • Journal of Korean Institute of Industrial Engineers
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    • v.27 no.3
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    • pp.239-249
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    • 2001
  • Competitive coevolution models, often called host-parasite models, are searching models that imitate the biological coevolution that is a series of reciprocal changes in two competing species. The models are known to be an effective method of solving complex and dynamic problems such as game problems, neural network design problems and constraint satisfaction problems. However, previous models consider only ectoparasites that live on the outside of the host when designing the models, not considering endoparasites that live on the inside of the host. This has a limitation to exploiting some information. In this paper, we develop an artificial adaptation model simulating the process in which hosts coevolve with both ectoparasites and endoparasites. In the model, the endoparasites play important roles as follows. By means of them, we can keep the history on results of previous competition between hosts and parasites, and use endogeneous fitness, not exogeneous. Extensive experiments are carried out to show the coevolution phenomenon and to verify the performance of the proposed model. Nim game problems and neural network problems are used as test-bed problems. The results are reported in this paper.

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The Control of Character's Behavior by Using FSM-Based Probability Estimation in Games (게임에서 FSM-기반 확률 추정을 이용한 캐릭터의 행동제어)

  • Kim, Hyung-Il;Yoon, Hyun-Nim
    • Journal of Korea Multimedia Society
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    • v.8 no.9
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    • pp.1269-1281
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    • 2005
  • The control of character's behavior in games is determined by game designers. One of the popular method used in the control of character's behaviors is rule-based. The rule-based control of behavior makes the flow of play simple and boring. In this paper, we propose an efficient method of controling character's behaviors which can generate various actions of characters by using probability estimation applied to the character's behaviors.

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Study of the Theatrical History in Chungnam Yesan (충남 예산 연극사 연구)

  • Do, Jung-Nim;Lee, Seung-Won
    • Journal of Korea Entertainment Industry Association
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    • v.13 no.4
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    • pp.107-117
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    • 2019
  • This paper establishes and propagates the value of the play through the study of the transition process of the yesan play from 1920 to the present, presents an alternative through the unique theatricality of the region and aims to activate it. The theater divided the theater into Yecheon, Chungnam Theater Festival, and Youth Theater Festival, which are currently active, and focused on Yedang International Performing Arts Festival, which is the only one in Yesan. The details of the performance due to the loss of data were not specified as much as possible, but the contents of the yesan play before 1990 were reviewed using the eupji and Myeonji. It also starts with a lack of diversity in plays in the developing direction of Yesan. Children's plays should be dismissed for simple commercial purposes, or the value of traditional Korean plays should be compared to Western ones, to promote the development of local plays through the natural characteristics and the basis of traditional culture, and to sustain the continuity of extreme economic performance and performances through the development of repertoires. Infrastructure deployment can be cited. The in flow of specialized actors and the use of art administrators creates a stable theater environment and activates the reeducation of local actors to promote theatrical imagination. It is also an urgent task to develop a new theatrical form by introducing experimental theatrical methods of young artists in the overseas performance business of theater troupe Yechon. Finally, Yedang International Performing Arts Festival should be characterized and differentiated from other festivals.