• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.2 no.1
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• pp.72-87
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• 1998

The subject of this research is to determine the optimal pumping rate so that seawater can not intrude so much to the freshwater region. There are several ingradients affecting the fluctuation of the interface: some geological parameters, fluid parameters, the precipitation, artificial recharge and discharge(due to pumping) are such ones. The parameter of particular interest is the pumpage of freshwater. In this article all the parameters are assumed to be known except the freshwater pumping rate. By considering a suitable inverse or parameter estimation problem we want to determine the pumpage which will not make the interface rise over the permissible bound.

• Research in Mathematical Education
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• v.26 no.3
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• pp.147-166
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• 2023

Mathematics is a science of pattern. Mathematics is a subject of inquiring which aims at discovering the models hidden behind the world. Pattern is abstraction and generalization of the model. Mathematical pattern is a higher level of mathematical model. Mathematics patterns are often hidden in pattern similarity. Creation of mathematics lies largely in discovering the pattern similarity among the various components of mathematics. Inquiring is the core and soul of mathematics teaching. It is very important for students to study mathematics like mathematicians' exploring and discovering mathematics based on pattern similarity. The author describes an example about how to guide students to carry out mathematics inquiring based on pattern similarity in classroom.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2009.05a
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• pp.495-498
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• 2009

In this paper, we tried to identify implications of selecting gifted of information science & followed educational system via analyzing each of student's characteristics in each subjects they study within Science Education Institute for the Gifted. A study of the existing institutions do not have experience of the gifted students based on assessment through observation of the 1-year science, mathematics and information science education in the List of attribute analysis. Learners of Information Science became with analysis that Attitude Category was superior in mathematics to the subject of science and Problem Solving Category regardless of the subjects showed similar. As to, Attitude Category, Problem Solving Category and Mathematics Cognition Category was analyzed to be closed and we could confirm through the qualitative observation record. On this, the researcher concluded that the mathematics could know the effect fitness by a learner rather than the subject of science as to an attitude and problem resolution area.

• Research in Mathematical Education
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• v.1 no.1
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• pp.95-106
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• 1997

Even though there are extracurricular mathematics classes for gifted students in all levels of schools in Korea, teachers cannot conduct the classes properly because the contents of the textbook are not adequate for the purpose of the classes. So, what they tend to do in the classes is just drilling with many problems which have already shown up at university entrance examinations and various mathematics competitions. The purpose of this paper is to give an example of what the content should be in "Mathematics III" (an elective subject for the science high school students according to the fifth and sixth amendment of national curriculum) and to suggest how to design the extracurricular classes for gifted students. Extracurricular classes of the ordinary secondary school as well as the elective course for the science high school can be suitably designed with choices of topics in the contents of Mathematics III.

• Journal of Gifted/Talented Education
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• v.23 no.3
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• pp.407-419
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• 2013

In current knowledge-based society, development and growth of IT-related industry is essential for a nation's competitiveness since it's economic power depends on IT industry in many countries. A success of IT industry depends on a few IT geniuses like Steve Jobs and Bill Gates. Thus, it is necessary to identify and foster gifted children in IT as early as possible. The purpose of this paper is to identify the correlation of academic performance per subject for the gifted children in IT. The analysis is focused on three subjects, that is, Information, Science, and Mathematics, respectively. For this purpose, the gifted children are selected and analyzed in a gifted science education center attached in a university at Seoul Metropolitan Area. The analysis results show that there is meaningful correlation among three subjects. That is, if high scores in a subject means high scores in other subjects. For instance, a gifted child with high scores in Information got high scores in Science and Mathematics. The result will be useful to improve selection examinations and curriculum for gifted education in IT, for inclusive education and convergent education.

• Journal of Gifted/Talented Education
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• v.22 no.4
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• pp.917-928
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• 2012

The purpose of this study is to survey and compare of the science gifted and the mathematics gifted students at elementary school's 171 students who live in the Seoul city, using Attitude Assessment Tool and Learning Motivation in Science. The analytical results of the collected data are presented as follow; Firstly, there was no difference between science gifted and mathematics gifted in the attitude, value, social meaning, and attitude toward science subject and learners mostly have a positive attitude toward science but, there was difference in the preference of the science gifted and mathematics gifted. Science gifted's preference toward science subject is higher than mathematics gifted students. Secondly, there was no difference in the attention, self-efficacy, and contentment in learning motivation in the science but, there was difference between science gifted and mathematics gifted in the relevance.

• Journal of applied mathematics & informatics
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• v.31 no.1_2
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• pp.285-297
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• 2013

This paper deals with parabolic equations coupled via nonstandard growth sources, subject to homogeneous Dirichlet boundary conditions. Three kinds of necessary and sufficient conditions are obtained, which determine the complete classifications for non-simultaneous and simultaneous blowup phenomena. Moreover, blowup rates are given.

• Journal of the Korean School Mathematics Society
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• v.8 no.3
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• pp.315-325
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• 2005

In school education, mathematics is obviously an independent subject. But the function of mathematics is revealed when it is joined with other subject. For example, when we use mathematics to solve a scientific problem, we can clearly feel the function of mathematics and its roll for science. So, it is general to teach the functions of mathematics by dealing mathematical application. For this method, student mostly pass over that because mathematics is only a tool. Therefore, it is necessary for mathematics part to be separated from mixed application. In this paper, we present a model to contain such an effect.

• Journal of Educational Research in Mathematics
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• v.19 no.4
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• pp.493-511
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• 2009

The purpose of this thesis is to discuss the characteristic methods of Mathematics Education. However, it is not simple to find the proper research method of Mathematics Education since Mathematics Education deals with the practice of teaching and learning mathematics, as well as the topics of scholarly research on the practice. Issues on Mathematics Education might vary with the epidemical aspects, which are basic attitudes toward the knowledge and understanding about Mathematics. Thus, this thesis will discuss two questions: First, What are the distinguishing characteristics of Mathematics Education as a field of study, when compared with ones of mathematics? Second, What are the characteristic methods of Mathematics Education, when compared with ones of other academic fields? For solving those questions, this thesis starts from meanings of science and education. And it also classifies Mathematics as formal science whereas Mathematics Education as social science by showing differences between Mathematics and Mathematics Education: research subject of Mathematics targets on mathematics itself and it uses the deductive method. On the other hand, Mathematics Education research handles the practice of mathematics of students and uses plausible reasoning. Also, it will also show why Mathematics Education shares lots of aspects with social science, not with natural science, which has many different characteristics from those of social science. Many researchers have agreed that Education should be categorized into the social science but misplaced Mathematics Education and Science Education into the natural science. It is true that physics and chemistry are natural science. And also it should be said that pure science is formal science. But it should be considered that just like Education, Mathematics Education and Science Education are in the category of social science.

• Journal for History of Mathematics
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• v.17 no.4
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• pp.45-64
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• 2004

The lambda calculus is a mathematical formalism in which functions can be formed, combined and used for computation that is defined as rewriting rules. With the development of the computer science, many programming languages have been based on the lambda calculus (LISP, CAML, MIRANDA) which provides simple and clear views of computation. Furthermore, thanks to the "Curry-Howard correspondence", it is possible to establish correspondence between proofs and computer programming. The purpose of this article is to make available, for didactic purposes, a subject matter that is not well-known to the general public. The impact of the lambda calculus in logic and computer science still remains as an area of further investigation.stigation.