• Communications of Mathematical Education
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• v.12
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• pp.377-386
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• 2001

역사의 시작은 어디인지 아득하지만 일반적으로 문헌을 통한 과학적인 신뢰성을 갖게 되는 실질적인 방법이 원칙이다. 하지만 이런 연구가 거의 전무한 우리 수학의 뿌리에 대한 연구는 문헌 연구가 그 기반을 이룰 것이다. 따라서 본 연구자는 우리 역사의 뿌리를 수학적 관점에서 한 분야로서 여러 기존의 문헌을 중심으로 특히 사학 연구를 활용하여 수학의 뿌리를 찾으려고 하며, 민족 신화(단군신화) 이전의 경전인 천부경(天符經)의 사상을 기초로 한 동양 사상과 철학의 배경으로 그 위상을 세우고자 한다. 결코 우리 민족의 우수성과 고난의 시절에서 많은 상황적 변화로서 와전되어 있는 부분도 있지만 이를 해석한 여러 문헌을 논리적으로 체계화하려는데 초점을 두고 있다. 주로 신라 시대의 석학인 최치원 선생에 의해 천부경 81자의 한자로 구성되어 해석한 사실에 주목해야한다. 특히 한민족의 언어가 아닌 한자로 우리의 언어와 사상이 기록되어 있고, 이 민족의 침입으로 인한 민족 문화의 말살이 걸림돌이 되고 있다. 그럼에도 불구하고 현재에 어려움을 인식하고 연구가 수행되었음을 부인할 수 없다. 따라서 본 연구는 우리 민족 수학의 뿌리를 찾아 민족의 수학사를 인식하는 계기를 주고, 자주적인 민족 정서의 수학 교육에 첫 걸음을 내딛는데 연구의 필요성과 목적이 있다.

• Communications of Mathematical Education
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• v.28 no.3
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• pp.321-338
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• 2014

In this paper, we introduce the history and the present status of the Mathematics Genealogy Project (MGP). The cases of David Hilbert and the first author were used to show how it works. As an example, we explain how to gain useful information such as the granting year of mathematics Ph. D degree holders, the title of dissertation, advisors and descendants from the MGP website. Through a survey of three different groups in MGP on 20~30 significant Korean mathematicians, we found that Korean records in the academic genealogy project are missing or poorly presented in the database of the MGP website. In conclusion, we found a way to improve the situation and provide instructions to submit our information to MGP. We expect our effort can help Korean mathematics and mathematicians to become better exposed to the world. It will help others to understand both the modern history and the future prospect of Korean mathematics.

• The Science & Technology
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• v.31 no.4 s.347
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• pp.32-34
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• 1998

수학은 고대 ㆍ근대 ㆍ현대에 이어지는 문명의 발달과 함께 성장하고 탈바꿈해 왔다. 그리스 기하학은 고대수학으로 수. 양. 함수 등은 근대수학으로 그리고 현대엔 연산작용 등의 수학적 구조로 변천해 왔다. '0의 발견'으로 새로운 세계를 연 수학은 기록용이던 숫자가 계산용으로 바뀌었으며 0은 컴퓨터의 발명에 이르기까지 인류사회에 큰 영향을 미쳤다.

• The Science & Technology
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• v.31 no.5 s.348
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• pp.25-27
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• 1998

근세에 들어오면서 과학은 산업. 정치의 전반적인 문제와 얽히고 그 영향으로 물리학. 수학이 발달하게 된 계기가 마련되었다. 수학연구는 16세기가 끝나면서 그 당시의 과학 ,기술적 요청에 따라 이탈리아 .독일 등 유럽에서 활발히 움직였다 17세기 '뉴턴의 만유인력의 법칙'등 5대 발견을 계기로 새로운 수학의 시대를 열었으며 18~19세기의 산업혁명과 근대 자본주의 형성 등 사회적 대변동이 근대수학의 새로운 체계를 이루는 산실이 되었다.

• School Mathematics
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• v.6 no.4
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• pp.313-324
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• 2004

One of the major roots of the value and power of mathematical knowledge is the belief on ‘the Pythagorian-Platonic divine mathematicity of the universe’ and the ‘pre-established harmony between mathematics and physics’. This kind of the nature of mathematical knowledge demands strongly the school mathematics to become a subject for humanity education going beyond the practical usefulness. Here, investigating the roots of the thought of mathematical education, we tried to clarify that the traditional educational ideal which has maintained the theoretical knowledge-centered mathematical education is the education of humanity, and investigate the way today's mathematical pedagogy should first turn to if it should realize this ideal.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2007.06a
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• pp.315-319
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• 2007

The field of "information" is based on "mathematics" so they have similarity and association in many parts. I collected the characteristics of multiple intelligence in information gifted students and mathematics gifted students through questionnaires.I studied how much correlation they have and possibilities of combining training in " information and mathematics".

• Journal of the Korea Institute of Information and Communication Engineering
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• v.11 no.6
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• pp.1222-1227
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• 2007

The field of "information" is based on "mathematics" so they have similarity and association in many parts. I collected the characteristics of multiple intelligence in information gifted students and mathematics gifted students through questionnaires. I studied how much corelation they have and possibilities of combining training in "information and mathematics".

• Journal of Korea Soil Environment Society
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• v.1 no.2
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• pp.91-101
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• 1996

In recent years, phytoremediation, the use of plants to detoxify hydrocarbons, has been a promising new area of research, particularly in situ cleanup of large volumes of slightly contaminated soils. There is increasing need for a mathematical model that can be used as a predictive tool prior to actual field implementation of such a relatively new technique. Although a number of models exist for solute-plant interaction in the vegetated zone of soil, most of them have focused on ionic nutrients and some metals. In this study, we developed a mathematical model for simulation of bioremediation of hydrocarbons in soil, associated with plant root systems. The proposed model includes root interactions with soil-water and hydrocarbons in time and space, as well as advective and dispersive transport in unsaturated soil. The developed model considers gas phase diffusion and liquid-gas mass exchanges. For simulation of temporal and spatial changes in root behavior on soil-water and with hydrocarbons, time-specific distribution of root quantity through soil was incorporated into the simulation model. Hydrocarbon absorption and subsequent uptake into roots with water were simulated with empirical equations. In addition, microbial activity in the rhizosphere, a zone of unique interaction between roots and soil microorganisms, was modeled using a biofilm theory. This mathematical model for understanding and predicting fate and transport of compound in plant-aided remediation will assist effective application of plant-aided remediation to field contamination.

• Journal for History of Mathematics
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• v.24 no.3
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• pp.37-58
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• 2011

The development of recent Mathematical Logic is mostly originated in Hilbert's Proof Theory. The purpose of the plan so called Hilbert's Program lies in the formalization of mathematics by formal axiomatic method, rescuing classical mathematics by means of verifying completeness and consistency of the formal system and solidifying the foundations of mathematics. In 1931, the completeness encounters crisis by the existence of undecidable proposition through the 1st Theorem of G?del, and the establishment of consistency faces a risk of invalidation by the 2nd Theorem. However, relative of partial realization of Hilbert's Program still exists as a fruitful research program. We have tried to bring into relief through Curry-Howard Correspondence the fact that Hilbert's program serves as source of power for the growth of mathematical constructivism today. That proof in natural deduction is in truth equivalent to computer program has allowed the formalization of mathematics to be seen in new light. In other words, Hilbert's program conforms best to the concept of algorithm, the central idea in computer science.

• Journal of Soil and Groundwater Environment
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• v.14 no.6
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• pp.53-64
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• 2009

Wetlands can remove organic contaminants, metals and radionuclides from wastewater through various biogeochemical mechanisms. In this study, a mathematical model was developed for simulating the fate and transport of chemical species in marsh wetland sediments. The proposed model is a one-dimensional vertical saturated model which is incorporated advection, hydrodynamic dispersion, biodegradation, oxidative/reductive chemical reactions and the effects from external environments such as the growth of plants and the fluctuation of water level due to periodic tides. The tidal effects causes periodic changes of porewater flow in the sediments and the evapotranspiration and oxygen supply by plant roots affect the porewater flow and redox condition on in the rhizosphere along with seasonal variation. A series of numerical experiments under hypothetical conditions were performed for simulating the temporal and spatial distribution of chemical species of interests using the proposed model. The fate and transport of a trace metal pollutant, chromium, in marsh sediments were also simulated. Results of numerical simulations show that plant roots and tides significantly affect the chemical profiles of different electron acceptors, their reduced species and trace metals in marsh sediments.