• 대한수학회지
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• 제32권2호
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• pp.171-181
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• 1995

Nielsen coincidence theory is concerned with the estimation of a lower bound for the number of coincidences of two maps $f,g: X \longrightarrow Y$. For this purpose the so-called Nielsen number N(f,g) is introduced, which is a lower bound for the number of coincidences ([1]). The relative Nielsen number N(f : X,A) in the fixed point theory is introduced in [3], which is a lower bound for the number of fixed points for all maps in the relative homotopy class of f:(X,A) $\longrightarrow$ (X,A), and its estimation is given in [5].

• East Asian mathematical journal
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• 제28권1호
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• pp.101-107
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• 2012

For each dimension exceeds 1, determining the number of multi-dimensional partitions of a positive integer is an open question in combinatorial number theory. For n ${\leq}$ 14 and d ${\geq}$ 1 we derive a formula for the function ${\wp}_d(n)$ where ${\wp}_d(n)$ denotes the number of partitions of n arranged on a d-dimensional space. We also give an another definition of the d-dimensional partitions using the union of finite number of divisor sets of integers.

• 한국철학논집
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• 제28호
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• pp.387-415
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• 2010

이 논문은 향후 조선유학자들의 『역학계몽』의 수용양상을 연구하기 위한 선행연구로서 『역학계몽』에 나타난 주자역학의 특징을 고찰한 것이다. 주로 『역학계몽』 원전을 분석하여 주자가 『역학계몽』을 지은 문제의식은 무엇이며, 그러한 문제를 풀어가는 논리와 사유의 특색은 무엇인가를 논의한 것이다. 주자의 문제의식은 당시 한대역학, 도교역학, 의리역학 등을 망라하여 새로이 계통이 있는 유가역학을 건립하려는데 있었다. 주자(朱子)는 문제해결을 위한 이론모델로 소강절(邵康節)의 선천학을 수용하고, 그의 선천개념을 변용하여 하락상수론을 제시한다. 하락을 자연의 이치가 담긴 역의 근원이자 성인의 심법과 일치하는 것으로 보아, 상수가 단순히 술수가 아니라, 자연의 이치와 성인의 심법을 드러내는 매체임을 밝힌다. 또한 십익의 내용들을 『역학계몽』의 주요탐구 대상으로 삼음으로써 그가 추구하는 상수가 이미 공자가 승인한 내용임을 정당화한다. 그리하여 하도의 중(中,태극), 소강절 선천학의 태극, 주렴계 태극도설의 태극을 하나로 회통시킴으로써 상·수·리가 일체가 되며, 우주론과 존재론, 수양론을 포괄하는 체계를 세우고자 하였다고 본다. 마치 리(理)와 기(氣)가 불리부잡(不雜不離)의 관계에 있듯, 상수와 리의 관계 역시 상호 밀착된 것이다. 이와 같이 상수를 이치를 드러내는 매개로 보는 주자의 하락상수론은 당대의 번쇄한 상수론을 대체하여 「계사전」에 입각한 새로운 점법을 정비하고, 그에 의거하여 춘추전국시대의 점친 사례를 고증함으로써, 그의 상수론이 추상적 이론에 그치는 것이 아니라 구체적 점법으로 적용가능함을 보여준다. 주자이후 중국학계에서 직접 『역학계몽』자체를 연구한 경우는 많지 않아, 조선에서 『역학계몽』관련 저작이 30편을 상회하는 것과는 대조적이다. 향후 조선유학자들의 『역학계몽』연구를 탐색하는 것은 조선역학의 특색을 밝히는 하나의 통로가 될 것이다.

• 한국수학교육학회지시리즈A:수학교육
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• 제50권2호
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• pp.135-148
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• 2011

We can say that the history of mathematics is the history on the development of the number system. The number starts from Natural number and is constructed to Integer number and Rational number. The Rational number is not the complete number analytically so that Real number is completed by the idea of the nested interval method. Real number is completed analytically, however, is not by algebra, so the algebraically completed type of the rational number, through the way that similar to the process of completing real number, is Complex number. The purpose of this study is to show the most appropriate way for the development of the human being thinking about the teaching and leaning of Complex number. To do this, We have to consider the proof of the existence of Complex number, the background of the introduction of Complex number and the background knowledge that the teachers to teach Complex number should have. Also, this study analyzes the knowledge to be taught of Complex number based on the anthropological theory of didactics and finally presents the teaching method of Complex number based on this theory.

• 한국해양공학회:학술대회논문집
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• 한국해양공학회 2006년 창립20주년기념 정기학술대회 및 국제워크샵
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• pp.127-134
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• 2006

Based on a weakly non-Gaussian theory the occurrence probability of freak waves is formulated in terms of the number of waves in a time series and the surface elevation kurtosis. Finite kurtosis gives rise to a significant enhancement of freak wave generation in comparison with the linear narrow banded wave theory. For fixed number of waves, the estimated amplification ratio of freak wave occurrence due to the deviation from the Gaussian theory is 50% - 300%. The results of the theory are compared with laboratory and field data.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권4호
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• pp.481-501
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• 2003

The main purpose of this work is to propose programs of algebra courses for the department of mathematics education of teacher training universities. Set Theory, Linear Algebra, Number Theory, Abstract Algebra I, Abstract Algebra II, and Philosophy of Mathematics for School Teachers are discussed in this article.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제4권1호
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• pp.43-49
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• 2000

The purpose of this paper is to address the theory of counting and the development of number concepts. Leslie Steffe and his colleagues developed the theory of children's counting types using the teaching experiment. As the results of their research, they published two books： "Children's counting types" (Steffe, von Glasersfeld, Richards, '||'&'||' Cobb, 1983) and "Construction of arithmetic meanings and strategies" (Steffe, Cobb, ＆ von Glasersfeld, 1988). They classified children's counting types into five categories： Perceptual Counting Stage, Figural Counting Stages, Initial Number Sequence Stage, Tacitly Nested Number Sequence Stage, and Explicitly Nested Number Sequence Stage. The meaning of this theory is added in the last part of this paper. this paper.

• 한국수학사학회지
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• 제27권3호
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• pp.183-195
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• 2014

In mathematics a prime number is the natural number that has no positive factors other than 1 and itself. As natural numbers greater than 1 can be factored characterized by prime numbers, identities of a culture could be understood if its cultural phenomena are analyzed through cultural prime numbers(CPN). It is not easy to resolve cultural phenomena into CPN and analyze them through CPN due to complexities of culture. Though it is difficult, however, it is not impossible. For CPN keeps relative independence in the context of history and thought. We call 2, 3 and 5 as CPN: 2 is representative of Yin and Yang theory, 3 of Three Principles theory, and 5 of Five Elements theory. We argue that the Ten Celestial Stems and the Twelve Earthly Branches, the core principles in the oriental tradition, could be factored by the CPN. Analyzing Sil-Hah Woo's arguments, we discuss that the CNP 3 achieved more qualitative valuation than the others in Korean culture.

• 대한가정학회지
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• 제38권6호
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• pp.71-79
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• 2000

The purpose of this study was to investigate the relationship between preschoolers'theory of mind and parenting style. The mothers of 66 3- and 4-year-olds were given questionnaires eliciting information about parenting style, SES, number of younger and older siblings, the time child spends with mother. Three variables were positively correlated with theory of mind: age, number of older siblings, and affective parenting style. The time spent with mother was negatively correlated with theory of mind. Factors most strongly affecting theory of mind were child's age and mother's affective parenting style. The resets are consistent with recent research showing that parenting style may be important for theory of mind understanding.

• Child Health Nursing Research
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• 제13권4호
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• pp.427-435
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• 2007

Purpose: This study presents the findings of various research on human intelligence and Multiple Intelligence Theory and suggested the implications of Multiple Intelligence Theory-based approach to the nursing education for the ill children. Method: Research objectives were accomplished by conducting a literature review. The main areas of the literature review included the Multiple Intelligence Theory, and it's application case for the children with learning disorder. Results: Dissatisfaction with traditional IQ tests has led to the development of a number of alternative theories, all of which suggest that intelligence is the result of a number of independent abilities that uniquely contribute to human performance. Among them, Multiple Intelligences Theory led to break intelligence down into at least eight different components: logical, linguistic, spatial, musical, kinesthetic, naturalist, intra-personal and interpersonal intelligences. In addition, Multiple Intelligence Theory and it's application case believes that every topic can be effectively taught and achieved using six entry points framework. Conclusions: The educational implications of Multiple Intelligence Theory in view of the health education and education in the children's hospital school should be considered for the ill children2's better education in a hospital setting.