http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
ON SPACES WHICH HAVE COUNTABLE TIGHTNESS AND RELATED SPACES
홍우철 호남수학회 2012 호남수학학술지 Vol.34 No.2
In this paper, we study some properties of spaces hav-ing countable tightness and spaces having weakly countable tight-ness. We obtain some necessary and sucient conditions for a space to have countable tightness. And we introduce a new concept of weakly countable tightness which is a generalization of countable tightness and show some properties of spaces having weakly count-able tightness.
홍우철 부산대학교 사범대학 과학교육연구소 1999 科學敎育硏究報 Vol.26 No.-
In this paper, we introduce the purpose of the high school geometry given by Ⅰ. Adler in [4]. We study in details the purpose and give some examples. And then we have that there is a close connection between the purpose of geometry education and the desirable teaching(learning) methods of geometry education in the middle and high school mathematics.
홍우철,홍성관 부산대학교 사범대학 2001 교사교육연구 Vol.40 No.-
In this paper we classify statements equivalent to Euclid's parallel postulate that appears in junior and senior high school math0texts, and give new proofs of them at the level of high school mathematics.
A GENERALIZATION OF A SEQUENTIAL SPACE AND RELATED SPACES
홍우철,권선희 호남수학회 2014 호남수학학술지 Vol.36 No.2
In this paper, we introduce a new concept of a countably sequential space which is a generalization of a sequential space andstudy some properties of a countably sequential space and relations among the space and related spaces.
홍우철 부산대학교 사범대학 과학교육연구소 2006 科學敎育硏究報 Vol.33 No.-
In this paper, we note some basic properties of decimal which are contained in the middle and high school Math textbooks. We en have that for desirable class in decimal in the middle and high school Math, teachers give full supplementary explanations of basic properties of decimal in class.
홍우철 부산대학교 사범대학 과학교육연구소 2003 科學敎育硏究報 Vol.30 No.-
In this paper, I shall introduce examples that if geometric problems which were already solved by the previous lessons are used to teach(learn) characteristics or applications of new content(problem-solving tools), both the basic properties of the new problem-solving tools and the own characteristics of the new tools are more easily understood. From this, we see that geometric problems which have various solving methods are important and useful in secondary school mathematics.
A NOTE ON SPACES DETERMINED BY CLOSURE-LIKE OPERATORS
홍우철,권선희 영남수학회 2016 East Asian mathematical journal Vol.32 No.3
In this paper, we study some classes of spaces determined byclosure-like operators [ ]s, [ ]c and [ ]k etc. which are wider than the classof Fr echet-Urysohn spaces or the class of sequential spaces and relatedspaces. We rst introduce a WADS space which is a generalization ofa sequential space. We show that X is a WADS and k-space i X issequential and every WADS space is C-closed and obtained that everyWADS and countably compact space is sequential as a corollary. Wealso show that every WAP and countably compact space is countablysequential and obtain that every WACP and countably compact space issequential as a corollary. And we show that every WAP and weakly k-space is countably sequential and obtain that X is a WACP and weaklyk-space i X is sequential as a corollary. In this paper, we study some classes of spaces determined byclosure-like operators [·]s, [·]c and [·]k etc. which are wider than the classof Fréchet-Urysohn spaces or the class of sequential spaces and relatedspaces. We first introduce a WADS space which is a generalization ofa sequential space. We show that X is a WADS and k-space iff X issequential and every WADS space is C-closed and obtained that everyWADS and countably compact space is sequential as a corollary. Wealso show that every WAP and countably compact space is countablysequential and obtain that every WACP and countably compact space issequential as a corollary. And we show that every WAP and weakly k-space is countably sequential and obtain that X is a WACP and weaklyk-space iff X is sequential as a corollary.
중학교 수학에서 삼각형의 각과 대응하는 변의 성질 및 그 응용
홍우철 부산대학교 사범대학 과학교육연구소 2004 科學敎育硏究報 Vol.31 No.-
In this paper, we study some properties of angles and corresponding sides of a triangle and its applications. We first prove that in a triangle △ABC, (1) if ∠ A < ∠ B, then (BC) < (AC), and (2) if (BC) < (AC), ∠ A < ∠ B And then we obtain some its applications, which are very important and useful facts in the middle school Math, as following : (1) The triangle inequality, (2) The properties of the distance between a point and a line, and (3) The relationship between the tangent line of a circle and the radius. Throughout this paper we use standard notations and Theorems which are in the textbooks of the middle school Math. And we keep within the level and scope of the content of textbooks of the middle school Math.