Co(X) 상에서의 유계선형 범함수에 과한 연구

림재규 ( Jae Kyu Lim ),유란재 ( Yoon Jae Yoo ) 경북대학교 과학교육연구소 1980 科學敎育硏究誌 Vol.4 No.-

Hilbert 공간의 성질을 Banach공간에 옮겨 사용하기 위해서 Lumer는 반내적 공간의 개념을 도입하였다. 본 논문에서는 임의의 vector 공간에서도 반내적 공간을 도입할 수 있다는 성질을 이용해서 Banach 공간 Co(X)에 이 구조를 도입하여 X상의 적분의 성질을 논하였다.

數學敎育硏究(수학교육연구)의 最近(최근) 動向(동향)

림재규 ( Jae Kyu Lim ) 경북대학교 과학교육연구소 1987 科學敎育硏究誌 Vol.37 No.1

The is a report on the recent currents of the studies on mathematics educa-tion in Japan based on the collected materials and discussions with professors T. Miwa and N. Nohda at the Mathematics Education Research Room, Tsukuba University in Japan, from December 1986 to the June 1987 at which time the writer was visiting Tsukuba University, according to the Teachers College Professors study Abroad pro-ject of the Ministry of Education supported by 1986 IBRD Education Loan. In Japan, mathematics education research progresses in two directions (1) find the base of mathematical thinking and problem solving through the investigation of traditional mathematical conceptions of the era from the Meiji age to the early years of the Showa, (2) Research through experimental, analytical methods of the psychology developed in the advanced western countries. Recently, with the settling and rapid activating of the researches of (2) by young scholars, interchanges and coresearches between America and Japan are widen-ing in the direction of (2). On the other hand, the teachers are keen on research and there are many research associations lead mainly by professors. Considering theses currents of mathematics education of Japan, we give some suggestions to promote the mathematics education of Korea in this report.

Rademacher함수(函數)과 Dirichlet판정법(判定法)에 관(關)한 고찰(考察)

림재규 ( Jae Kyu Lim ),서춘석 ( Choon Serk Suh ),권언근 ( Ern Gun Kwon ) 경북대학교 과학교육연구소 1985 科學敎育硏究誌 Vol.9 No.-

一般的으로 數列 {an } 이 單調 減少인 境遇는 級數 Σ6nan의 收斂性에 關하여 Dirichiet` s test를 適用하면 된다는 것든 잘 알려져 있는 事實이다. 本 語文에서는 數{an} 이 單調減少가 아닐 境遇, 級數 Σεnan이 收斂하기 위한 必要充分 條件과 定理에 따르는 몇 가지 結論을 다루었다. 한편 級數 Σεnan의 收斂性에 關해서는 " Rademacher theo-rem" 그리고 " Khinchin-Kolmogorov theorem" 등이 있는데, 本 語文에서는 이들 사이를 連結하는 어떤 現像들에 關하여 몇 가지 事實들을 밝혔다.

Fourier변환(變換)의 Lebesgue ` 적분(積分) 가능(可能)할 조건(條件)에 대(對)하여

림재규 ( Jae Kyu Lim ),이정수 ( Jung Soo Rhee ),권언근 ( Ern Gun Kwon ) 경북대학교 과학교육연구소 1984 科學敎育硏究誌 Vol.8 No.-

N.K Artemiadis는 그의 논문(1)에서 Fourier 급수가 절대 수렴할 조건 들을 밝혔다. 본 논문에서는 L¹ (R)에 속하는 함수의 Fourier 변화이 L¹(R)에 들어갈 조건을 찾았고 (Theorem 1,2.), 함수가 Ledesgue 적분 가능할 때 Ledesgue 점을 정의하여 그에 대한 간단한 성질을 밝혔다(Lemma).

中學數學 指導內容的 構造 分析

림재규 ( Jae Kyu Lim ) 경북대학교 과학교육연구소 1977 科學敎育硏究誌 Vol.1 No.-

Modern mathematics can be well defined as a study of set structures. Many associations such as UICSM and SMSG begining in 1950 urged experiments that this fundamental theories relation to these structures should be applied to new mathematics teaching methodology at elementary schools as well as secondary schools. Since 1973 newly reformed, elementary and secondary schoolcurricula provided rennovated teaching aspects, having been modified according to this theory. But there are several handicapps in the fields which prevented education from keeping up with sudden changers. There are insufficient teacher in-service trainings, irrelevant construction of texthooks and poverty of available publications concerned. This study attempts to specify explanatory theory in three aspects of mathematical shructure which is essence of teaching contents in elementary and secondary education, and toanalyze contents of mathematical structure which is essence of teaching contents in elementary and secondary education, and to analyze contents of mathematics terching from the viewpoint of binary relation on the basis of the above three structures. In the end this parper argues against the current contents, and suggests their improvement.

미국(美國) 과학교육(科學敎育)의 현황(現況)과 새로운방향(方向)

권병규 ( Byung Kyu Kwon ),림재규 ( Jae Kyu Lim ) 경북대학교 과학교육연구소 1985 科學敎育硏究誌 Vol.9 No.-

In December 1984, the writers visited the ERIC/SMEAC at the Ohio state university in America to survey the current situation and a new direction of science education in U.S. The purposes of this report is to describe the status of ERIC/SMEAC, historical perspectives, the current situation and a new direction of science education. The assessment and retrospection since 1976 of such reporters as "project Synthesis" and "Acomplishments and Needs" team evidenced the need of a new science education in the states. The year 1983 mark a time in which numerous reports about American education were issued. For examples "A Nation for Excellence" to indicate the positive aspects of American schools. R. Yager`s summarization of the actual and the desired states of science teaching toward a new direction is of much value to the future science education in Korea as well as in the states. Peter Rubba gives a very through recview of the definition of scienti-fic literacy as the goal of science teachers can use to generate instructional objectives of science education.

'중학수학' 새 敎科書의 改善에 關한 硏究

林在圭 慶北大學校 師範大學 1975 敎育硏究誌 Vol.17 No.-

The new textbooks "Middle School Mathematics" based upon the new curriculum have been unified first, and have been used from 1975 over all of the school years. In this study, at first we investigate advantages and demerits which are derived from unified editing of textbooks. Next we find up undesirable contents of the new textbooks according to seven patterns (Figure). On this foundation we point out the problems about 1) obscure or wrong contents 2) development of contents 3) organization of units and then find their desirable methods. As a result of the above investigations, the new textbooks hardly achieve the advantages of unified editing, on the contrary they disposed all of the demerits. As the new textbooks bring many confusions at the scenes of teaching, we must take their readjustments immediately, we have to reedit the textbooks and give the all kinds of helps for teachers.

數學科 問題解決 學習의 指導에 關한 硏究

林在圭,金俊茂,金昭延,李海榮 경북대학교 과학교육연구소 1989 科學敎育硏究誌 Vol.13 No.-

The purpose of this article is to establish some principles in helping students study in order to enhance the ability of solving problems reasonably by using fundamental mathematical skills, and to bring forth the improvement of mathematics education by using the above mentioned principles. In this work we investigate the following subjects ; (1) Fundamental concepts and strategies of teaching students for mathematics problem solving achieved in nineteen eighties in and out of Korea. (2) Current status of problem solving ability of middle and highschool students and teachers. (3) We first made 「motivation-advice cards」 about the problem solving strategy according to the classification of problem solving thought format, and then we used them in highschool classes. We test the result. We obtained the following conclusions ; (1) The style of test problems has to be changed from multiple choice form which is widely used in various evaluation examinations to writing style. (2) Studies of teaching method to help students extend their creativity, and making good problems and invention of instructive devices are required. (3) After making the students aware of the importance of problem solving strategy and of the way how to use it, we have to lead the students to acquire the habit of using them.

On the Rademacher Functions and the Dirichlet's Test

Lim, Jae-Kyu,Suh, Choon-Serk,Kwon, Ern-Gun 경북대학교 과학교육연구소 1985 科學敎育硏究誌 Vol.9 No.-

一般的으로 數列{a_n}이 單調 減少인 境遇는 級數 Σε_na_n의 收斂性에 關하여 Dirichlet's test를 適用하면 된다는 것은 잘 알려져 있는 事實이다. 本 論文에서는 數列{a_n}이 單調減少가 아닐 境遇, 級數 Σε_na_n이 收斂하기 위한 必要充分 條件과 定理에 따르는 몇 가지 結論을 다루었다. 한편, 級數 Σε_na_n의 收斂性에 關해서는 " Dirichlet's test " 와 " Rademacher theorem " 그리고 " Khinchin-Kolmogorov theorem " 등이 있는데, 本 論文에서는 이들 사이를 連結하는 어떤 現象들에 關하여 몇 가지 事實들을 밝혔다.

On Hardy-stein Inequality

Lim, Jae-Kyu,Rhee, Jung-Soo,Kwon, Ern-Gun 경북대학교 과학교육연구소 1986 科學敎育硏究誌 Vol.10 No.-

單位圓板上에서 定義된 ??析函數 f(z)에 대하여 Ⅰ(p,α,f) = ∫^1_0∫^2π_0|f(ρe^i0)|^(n-α)|f'(ρe^i0) (1-ρ)^(α-1)d??dp 라고 둔다. 1 ≤ α ≤ 2 , α ≤ p ≤ ∞ 인 경우에 (∫^2π_0|f(re^in)|^p do)^1/p≤C(p)Ⅰ(p,α,f) 가 됨을 밝혔다. α=2 인 경우, 이것은 잘 알려진 Hardy-Stein 의 不等式이다.