• The Mathematical Education
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• v.45 no.4 s.115
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• pp.481-491
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• 2006

Diffy is a simple mathematical puzzle that provides elementary-school students with subtraction practice. The idea appears to have originated in the late nineteenth century with E. Ducci of Itali. Thirty years ago Professor J. Copley of the University of Houston introduced the diffy game to teachers in elementary schools and it widely spreaded out. During the diffy activity we naturally guess many interesting conjectures. First, does diffy always end? Second, does the head of diffy always exist? Third, for an arbitrary given natural number n, is there any possible method to find the diffy with the given length n? In this study I give the necessary and sufficient condition for the existence of the head of diffy. Using this condition I classify all possible heads of diffy and provide an algorithm to find the diffy with any given length n. With this algorithm I find four natural numbers with diffy length 200. To ensure my numbers are correct, I make a diffy program for Mathematica and check they are correct. I suggest the diffy game is good for enlarging the mathematical thinking to all graded students, especially gifted and talented students, It will produce rational consideration and synthetic judgement.

• Education of Primary School Mathematics
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• v.3 no.2
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• pp.133-142
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• 1999

When the game is used in mathematics loaming, students take pleasure of game in themselves and communicate through interaction with other students naturally. It is important because the game is activity for intellectual growth and social development. Also students have had affirmative attitude about mathematics by Emu. The communication in mathematics loaming helps that linking informal and intuitive thinking of students with abstract and basic mathematical language and that it also helps changing from the dependent situation to teacher to the self-directive teaming of students. The purpose of this thesis is to effect on extension of mathematical communication ability to the second grade of elementary school students by applying of computational-strategy games. It has conclusion as follows. Application of computational-strategy games had effected on extension of mathematical communication ability importantly. When students have mathematical communication through computational-strategy games, at the beginning, the words which students used was long, incorrect, and unnecessary words. But at the later, students became to use clear, correct concise words as they connect their routine language with mathematical symbol. Therefore we can make sure that mathematical communication ability of the second grade students' is extended by applying of computational-strategy games.

• Education of Primary School Mathematics
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• v.21 no.3
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• pp.261-272
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• 2018

In the current era of mathematics education, constructivism is a core theory of learning. For teachers, understanding and applying constructivism to their teaching practices are crucial for student centered teaching. However, some mathematics educators understand Constructivism in a different way. For example, some future teachers view Constructivism as making mathematics 'fun' by creating game without considering conceptual understanding. In this paper, the original articles of Constructivism were revisited and investigated to understand and to search for their meanings. Also several types and sources of Constructivism were identified; Radical Constructivism, Vygotsky's social-cultural theory of development, Social Constructionism, and Social Constructivism. This paper investigated arguments of the several types of Constructivism and discussed their implications for mathematics teaching.

• Journal of Korea Water Resources Association
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• v.43 no.1
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• pp.95-104
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• 2010

The tap water supply in Korea mainly depends on the surface water. However, the advanced water purification process becomes a necessity due to the deterioration of surface water quality and the risk of accidental spill. High cost of water treatment and public concerns make the decision makers turn to riverbank filtration as an alternative to the surface water. Riverbank filtration has been employed for water supply in many developed countries for more than 150 years. In Korea, riverbank filtration has drawn attention since 1990s as a supply source having potential to stably meet the ever-increasing water demand. Some cities located in the Nakdong River Basin are currently supplying water through riverbank filtration. This work studies the site suitability analysis for riverbank filtration using game theory. Theory of games, which is a branch of applied mathematics used in social sciences (most notably economics), biology, engineering and computer science, was applied to candidate locations for the selection of riverbank filtration site. We proposed a policy game model as a new method adopting a probabilistic approach. The model developed turned out to be an effective tool for site selection.

• Journal of the Korea Society of Computer and Information
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• v.13 no.1
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• pp.81-88
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• 2008

In the game balancing. it is so difficult to choose suitable arms among various actions, or arms and to accurately calculate to which level we adjust the balance. The fuzzy method can be properly used in a particular environment which cannot be correctly processed in mathematics or in lessening the time-consuming problems during the accurate number crunching. Because a variety of actions, relations with opponents. previous battle experiences etc. are not easy to be reflected in every occasion, the fuzzy method could be useful in these cases. When the balancing is needed. the data which have been played to that Point are processed by the fuzzy function and calculated to adapt intensity to each action. The ability of characters is regulated in this process. To demonstrate the efficiency of this method. I would like to make clear the excellence of fuzzy method through the following five experiments; a case with invariable ability adjustment, a case adjusted by a randomly chosen action, a case with the strongest weapon selection. a case with the weakest weapon selection and a case with the fuzzy method application.

• Digital Contents
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• no.12 s.115
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• pp.48-59
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• 2002

정보통신부가 주최하고 한국소프트웨어진흥원과 한국데이터베이스진흥센터가 공동으로 주관하는 디지털콘텐츠대상의 4/4분기 수상작에 대한 시상식이 지난달 11일 정보통신부 14층 회의실에서 열렸다. 수상작은 디지털영상 부문에 옥토그라프의 '로보솔져', 온라인게임 부문 조이온 '임진록 온라인 거상'과 이야기의 'I.M.온라인', 교육용 콘텐츠 부문에 에듀팜의 '오리수학농장', 무선콘텐츠 부문에 대헌정보의 'GOGO!!배틀체스' 5개 작품이 선정됐다. 수상기업에는 국내ㆍ외 전시회 참가비용이 지원되고 정통부가 추진하는 해외진출 지원사업 참여 때 우대된다. 또 수상작 가운데 우수작을 뽑아 연말에 열리는 디지털콘텐츠 전문 전시회인 '디지털 콘텐츠 페어' 행사 때 국무총리상 등을 수여한다.

• Journal for History of Mathematics
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• v.31 no.3
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• pp.151-166
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• 2018

The rule of the game of Chomp is simple and the existence of a winning strategy can easily be proved. However, the existence tells us nothing about what strategies are winning in reality. Like in Chess or Baduk, many researchers studied the winning moves using computer programs, but no general patterns for the winning actions have not been found. In the paper, we aim to construct practical winning strategies based on backward induction. To do this we develop how to analyze Chomp and prove and find the winning strategies of the simple games of Chomp.

• Journal for History of Mathematics
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• v.33 no.3
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• pp.167-177
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• 2020

Cooperative behavior may seem contrary to the notion of natural selection and adaptation, but is widely observed in nature, from the genetic level to the organism. The origin and persistence of cooperative behavior has long been a mystery to scientists studying evolution and ecology. One of the important research topics in the field of evolutionary ecology and behavioral ecology is to find out why cooperation is maintained over time. In this paper we take a historical overview of mathematical models representing cooperative relationships from the perspective of mathematical biology, which studies population dynamics between interacting biological groups, and analyze the mathematical characteristics and meanings of these cooperative models.

• The Mathematical Education
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• v.25 no.2
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• pp.1-11
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• 1987

호주 정부는 1988년이 유럽인의 호주 이민 200주년이 되는 것을 기념하여 대대적인 행사를 추진하고 있으며 이 행사의 일환으로 1988년 7월 9일 부터 21일 까지 "제29회 국제수학경시대회"를 개최할 예정이다. 이 대회의 주최측에서는 우리나라에도 중ㆍ고등학생의 참가를 요청하였다. 필자들은 이 대회에 우리나라 대표를 파견할 경우를 대비하여 그 동안 IMO에 관한 여러가지의 정보를 조사한 바 대회 참가 여부에 대하여 다음과 같은 결론을 얻었다. 1. 참가의 필요성 (1) 중ㆍ고등 학생들에게 수학에 관한 관심을 높히고, 나아가서는 모든 국민에게 과학적인 사고의 향상을 기대한다. (2) 궁극적으로 수학을 위시한 기초 과학, 응용 과학에 대한 전반적인 관심도가 높아져서 수학자 및 과학자의 저변 확대를 기대할 수 있고, 특히 수리적인 사고력이 뛰어난 사람을 조기에 찾아내어 2000년대의 과학 선진국 건설에 중추적인 역할을 맡을 인력자원을 확보할 수 있다. (3) 현재 중ㆍ고등학교 수학 교육이 계산 위주, 암기 위주로 되어 있고, 학력 고사를 위시하여 많은 시험이 객관적으로 사고력 배양이 고려되지 않고 있다. IMO 참가자를 선발하기 위하여 거국적인 경시 대회를 개최한다면 자연히 이를 대비한 주관식 문제를 접할 기회를 가지게 되고, 따라서 수학 교육의 목적중의 하나인 사고력 배양을 기대할 수 있다. (4) 우리 국민의 조직적인 사고력과 과학적인 두뇌를 세계적으로 자랑할 수 있는 좋은 기회이다. (5) 자라나는 새싹들에게 국제 대회의 기회를 주므로써 장차 우리나라의 수학 수준을 국제적으로 높힐 수 있는 기틀을 마련한다. 2. 우리나라 학생이 IMO에 참가하여 우수한 성적을 거둘수 있는지 여부 (1) 절대적으로 있다. 참가하는 첫 해부터 상위권에 들어갈 것이다. 우리의 중ㆍ고등학교 수학 수준이 세계 평균보다 약간 높다. 그리고 몇 년의 경륜을 쌓는다면 세계 1, 2위에 도전 할 수 있다. 이것은 올림픽이나 아시아 게임에 기울이는 비용의 몇 만분의 일을 가지고, 그 보다 훨씬 높은 수준의 국력을 과시할 수 있는 기회이다. (2)매년 그 성적이 올라가리라 생각한다. 예로서 우리와 비교하여 형편없는 국력을 가진 몽고가 8년간 꼴찌를 하다 1894년 대회에서 참가국 33개국 중에서 10위를 차지하였다. 미국은 참가 첫 해부터 2위를 하였고, 11년 동안 1위 2번, 2위 4번을 하였으며, 매번 5위 이내에 머물렀다. (3) 월남은 그 나라의 사정때문인지 자주 참가하지 못하였다. 그러나 참가할 때마다 항상 상위권에 속하였다. 이것은 월남 국민들의 수학에 관한 관심도를 나타낸다고 본다. 우리 국민도 월남 국민에 못지 않으리라 생각한다. 3. 한국수학교육학회가 주관하여 뛰어난 학생을 선발 할 수 있는지 여부 (1) 있다. (2)한국수학경시대회 (KMO) 위원회를 한국수학교육학회 산하에 구성하여 KMO를 주관하게 하고, 또 국내의 여러 수학경시대회에서 우수한 성적을 나타낸 학생중에서 일정한 인원(50명 정도)을 선발하여 특별히 선정된 훈련팀으로 하여금 조직적인 훈련을 시킨다면 된다. 4. 기타 (1) 과거 어떠한 형태로든 국제 대회에 참가한 경력은 전혀 없다. (2) 1960년대에 서울대학교 공과대학 학생회에서 주최한 수학경시대회가 있었으나 보잘것이 없었고, 현재에도 각 시도별 또는 대학주관의 경시대회가 있으나 거국적인 호응을 받지 못했다. 물론 국제 대회에 참석시키는 것은 엄두도 내지 않았다.

• Communications of Mathematical Education
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• v.37 no.1
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• pp.85-104
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• 2023

The purpose of this study is to analyze the types of mathematics journals of elementary school students and to understand how they change in mathematics journals as the grade goes up, and to obtain implications in mathematics education. To this end, 170 of the 222 parish mathematics data submitted to the "Math Journal Contest" were analyzed with the consent of both minors and their parents. As for the framework for analyzing math journal types, 12 types were derived through independent analysis between three researchers. The research results showed that first, the type of math journal written by elementary school students is a variety of journals, such as observation, problem making, concept organization, and review. In addition, as a learning area, it was found that math journal showed a noticeable increase in experimental observation, problem making, and concept journal as the grades progressed, while a small number of idea journal and explanatory journals appeared. However, game (winning) strategy building and types declined. It can be seen that this is evolving from a type that requires activity-oriented or simple descriptions to a type that actively applies mathematical concepts. As such, there are 12-type of math journals, but it is necessary to actively use the teaching materials in writing that can be freely expressed in the school setting.