• Journal of the Korean Mathematical Society
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• v.32 no.2
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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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• v.28 no.1
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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.

• The Journal of Korean Philosophical History
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• no.28
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• pp.387-415
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• 2010

This article examines Zhu Xi(朱熹)'s theory of I-Qing(易經) present in Yi Xue Qi Meng. Zhu Xi aims to establish a novel Confucian theory of I-Qing, examining the study of I-Qing in Han Dynasity and the Taoist theory of I-Qing. To this end, he embraces Shao Yong(邵雍)'s theory of Xian Tian. Adapting the notion of Xian Tian(先天) as developed by Shao, he completes the Image-Number(象數) Theory of Hetu-Luoshu(河圖洛書). While discussing Hetu Luoshu, Zhu Xi argues that the Image and Number are not merely a form of prognostication, but a medium that reveals the principles of the nature and the sagely ways of mind. In addition, by studing I-Zhuan(易傳) in authoring Yi Xue Qi Meng, Zhu Xi maintains that the notions of Image and Number as he understands were to be approved by Confucius. This leads to the unification of Sho Yong's Tai-Ji(太極), Zou Dun Yi(周 敦頤)'s Tai-Ji, and Tai-Ji in Hetu. Through this work, Zhu Xi attempts to construct a systematic philosophy that straddles ontology and value theory, while identifying Li (理) with Xiang (象) and Shu (數). The Image-Number Theory of Hetu-Luoshu has replaced numerous theories of Image and Number at the time of Zhu Xi. Based on this theory, he restores the method of divination as presented in Xi CI Zhuan(繫辭傳). By successfully applying his theory of Image and Number to interpreting a number of recorded examples of divination during the Spring and Autumn period and the Warring States period, Zhu Xi demonstrates that his theory is not only an abstract metaphysical theory, but also can function as an adaptable method of divination.

• The Mathematical Education
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• v.50 no.2
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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.

• Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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• 2006.11a
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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.

• The Mathematical Education
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• v.42 no.4
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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.

• Education of Primary School Mathematics
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• v.4 no.1
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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.

• Journal for History of Mathematics
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• v.27 no.3
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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.

• Journal of the Korean Home Economics Association
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• v.38 no.6
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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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• v.13 no.4
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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.