동기유발을 위한 ARCS이론을 적용한 수업이 수학과 문제해결력 신장에 미치는 영향

성열욱,김상운 한국학교수학회 2001 韓國學校數學會論文集 Vol.4 No.2

All men's achievement and behavior is always based on motivation. It has been reported that learning motivation plays an important role to get achievement of study to approximately 16∼38%. Therefore, a lot of researchers agree that learning motivation must be required for learning achievement. This study focuses on "How behavior induces learning motivation from learners?" I adapted "the Attention, Relevance, Confidence, Satisfaction" which is supported by John. M. Keller in the model of ARCS to the course of teaching-learning in order to improve them systematically. The effectiveness and results of adaptation must be considered to solve the math problems.

On the Convergence of Fuzzy Normed Linear Space

成烈昱 公州大學校 基礎科學硏究所 1998 自然科學硏究 Vol.7 No.-

본 논문에서는 퍼지노름공간 위에서 정의된 퍼지점들의 수렴성에 관한 성질들을 증명하고 퍼지점들의 수렴성에 관한 성질들이 크리습노름송간에서 어떻게 적용되는지 그 관계를 특성화하였다. The main goal of this paper is to investigate some more details about the properties of the convergent sequence of fuzzy points and related topics. And we characterize the relationship that how the properties about the convergence of fuzzy points are applied in a crisp normed linear space.

퍼지노름공간의 완비화

성열욱 公州大學校 基礎科學硏究所 1999 自然科學硏究 Vol.8 No.-

X. Y가 노름공간이고 ρ₁, ρ₂가 각각 X, Y에서의 lower semi-continuous 퍼지노룸이며 bounded support를 가질 때 Y가 퍼지완비이면 X에서 Y로의 모든 퍼지연속선형사상들의 집합은 퍼지완비노름 공간임을 증명하였고, 또한 [2] 의미에서의 퍼지공간거리에 퍼지노름공간의 개념을 소개하였다. Let X, Y be normed linear spaces, and let ρ₁, ρ₂ be lower semi-continuous fuzzy norms on X, Y respectively, and have the bounded supports on X, Y respectively. In this paper, we prove that if Y is complete, the set of all fuzzy continuous linear maps from X into Y is a fuzzy complete fuzzy normed linear space. Also, we introduce the concept of a fuzzy normed linear space on the concept of fuzzy metric spaces in [2].

Fuzzy Deterministic Relations

성열욱,이현규,양은목,Sung, Yeoul Ouk,Lee, Hyun Kyu,Yang, Eunmok The Society of Digital Policy and Management 2021 디지털융복합연구 Vol.19 No.10

X와 Y사이의 퍼지 관계를 곱집합 X × Y의 퍼지 부분집합으로 Zadeh에 의해 처음으로 소개된 이후 퍼지집합에 대한 개념은 자연과학 및 컴퓨터과학에서 많은 연구성과가 이루어져 왔다. 그 결과 Muralli와 Nemitz는 동치관계 및 함수와 관련하여 퍼지관계를 연구하였고, Ounalli와 Jaoua는 중요한 수학적 도구로서 퍼지 다이펑션날 관계를 정의하여 소프트디자인과 데이터베이스 이론에서 중요한 역할을 하는 것으로 증명되었으며, 또한 프로그램 표식과 프로그램 정확도를 정의하는데 유용한 것으로 밝혀졌다. 본 논문에서는 한 집합 위에 퍼지 디터미니스틱 관계를 정의하여 퍼지 디터미니스틱 관계를 레벨 부분집합으로 특성화 하였고, 퍼지 디터미니스틱 관계와 관련하여 일부 성질을 증명하였다. 특히, 퍼지 디터미니스틱 관계와 퍼지 함수가 동치임을, 퍼지 함수가 퍼지 다이펑션날 관계가 동치임을 증명하였다. A fuzzy relation between X and Y as fuzzy subset of X × Y was proposed by Zadeh. Subsequently, several researchers have applied the notion of fuzzy subsets to various branches of mathematics and computer sciences. Murali an Nemitz have studied fuzzy relations connected with fuzzy equivalence relations and fuzzy functions. Ounalli and Jaoua defined a fuzzy difunctional relation on a set. difunctional relations are versatile mathematical tool, which can be used in software design and in database theory. Their work have revealed the usefulness of difunctional relations in program specification and in defining program correctness. The main goal of this paper is to define a fuzzy deterministic relation on a set, characterize the fuzzy deterministic relation as its level subsets and investigate some properties in connection with fuzzy deterministic relation. In particular we prove that a fuzzy relation R is fuzzy deterministic iff R is a fuzzy function.

퍼지노름공간의 연속성에 관한 연구

成烈昱 공주대학교 사범대학 과학교육연구소 1999 과학교육연구 Vol.30 No.1

본 논문에서는 퍼지노름공간에서 다른 퍼지노름공간으로의 선형사상에 대한 퍼지연속성을 연구하였으며 또한 퍼지노름 ??의 동치조건을 소개하였다. The main goal of this paper is to investigate the fuzzy continuity of linear maps from a fuzzy normed linear space into another fuzzy normed linear space and related topics. Also, the equivalent condition of the fuzzy norm ?? will be introduced.

Fuzzy Functions and There Fundamental Properties : 퍼지 함수에 관한 고찰

성열욱 공주대학교 기초과학연구소 2000 自然科學硏究 Vol.9 No.-

퍼지 집합의 개념이 Zadeh에 의해서 처음 소개된 이후 수학의 여러 분야에서 많은 연구성과가 이루어져 왔다. 그 중, 퍼지함수의 개념은 Nemitz와 Sasaki에 의해서 도입되었지만, 크리습함수의 퍼지화 과정에서 자유롭지 못하였다. 따라서 본 논문에서는 퍼지함수를 보다 자연스런 방법으로 정의하였고, 또한 퍼지함수와 관련된 기본 성질들을 연구하였다 In the present thesis, the fuzzy equality of two points of a crisp set which is more convenient than that in Coker and Sasaki and the fuzzy function having weaker conditions than that is given in Sasaki are redefined in much more natural way. Also many basic properties related to the various types of fuzzy function are established.

Fuzzy normal congruences of inverse semigroups

성열욱,B.G. SON 장전수학회 2017 Advanced Studies in Contemporary Mathematics Vol.27 No.2

In this paper we introduce the notions of fuzzy kernel, fuzzy trace of a fuzzy congruence on an inverse semigroup, give some of their properties in connection with fuzzy normal congruences. As a continuation of these works, we define a fuzzy normal congruence as a fuzzy relation and characterize fuzzy normal congruences in the framework of fuzzy relations.

소집단 학습을 통한 수학과 학습부진아 지도방안 연구

성열욱,신경순 한국학교수학회 2001 韓國學校數學會論文集 Vol.4 No.2

It is necessary that at any rate we try to decrease underachievers by learning deficiency in mathematics to extreme limits under circumstances that mathematics becomes more requires daily in the 21st century's informative society. However, the traditional teaching method causes a lot of problems in elevating the needed ability for the newly changing society. Accordingly, for the purpose of letting underachievers by learning deficiency have much interest in mathematics, seek the qualitative elevation, have the feelings of self-confidence and accomplishments, escape from desperation, and also teachers choose the activities of small groups, design teaching plans, apply those to teaching-learning activities and finally verify the effect, this researcher sets up a hypothesis as follows: 1. The teaching method through small groups will be effective for the accomplishments of underachievers in mathematics. 2. Its method will bring out the meaningful change in the emotional areas of mathematics. Therefore, so as to prove the above hypothesis, the results through the theoretical approach and practicing learning by small groups have turned out to be positive.

現行 中學校 數學 敎科書의 比較 分析 硏究 : On the Center of the Eight Kinds of Textbooks 2 Grade Used in Middle School 中學校 2學年 8種 敎科書 中心으로

국승오,성열욱 공주대학교 사범대학 과학교육연구소 2000 과학교육연구 Vol.31 No.1

In this study, the eight kinds of the mathematical textbooks 2 used in middle school are analyzed into the various comparative analyzes, the side of the constitution in mathematical contents, statical standpoints and especially the lacking parts in generally about some subject matters and expressions are pointed out the results of this study are as follows; 1. Conclusion ① Form the unit and the construction of the field in each textbook, the four kinds of textbooks comparatively seems to describe on the curriculum of the Educational Department, and the others seem to change it in diversity. This facts might be expected by differences on the characters of writers. ② From the proportion of pages which are alloted to each part of the textbook, textbook G seems to arrange the main text most simply, and textbook B seems to describe it in the largest quantity. ③ According to the quantities of the problems treated in each unit, textbook B treats the too many problems, and textbook A does it fewest. Under these facts, it is difficult to determine whether the most quantities of the problems are effective or not. ④ In the comparison with the words, the characters of each textbooks are distinctive considerably. As the result of this study, the different of the expressions doesn't cause a trouble. Because the different words and the marks can cause the confused questions and lack of confidence, the unity of the words and the marks is more effective in the Present education. ⑤ In the introduction of the persons in each unit, textbook A introduces 4 mathematicians, B does 16, C does 1, D does 8, E does 3, F does 19, G does 2, H does 8. Also there are considerable differences of the person's Chronicles and the spelling rules of the persons' names of the each unit. Textbooks as a model should be unified in these differences. ⑥ In the contents and the expression of textbook, there were considerable errors. This fact is very important problems in the educational work. Therefore, textbook as a model should be written accurately and precisely. 2. Suggestion I'd like to suggest as follows on the basis of this study. ① More detailed items are needed in the curriculum of the Educational Department. ② Enough time should be given to the writers, and the inspection for the textbook should be made through the first and the final steps. ③ We had better make more teachers that know thoroughly educational environment, student' psychology and desire write a textbook when a textbook is written. ④ The editorial data for the unified words and the marks should be made before suggesting the new curriculum of the textbook in the Educational Department. ⑤ We should divide into two levels at least and develop a textbook to fit student's ability and level.

Fuzzy Difuntional Relation의 특성화

노영순,이덕호,성열욱 공주대학교 사범대학 과학교육연구소 2000 과학교육연구 Vol.31 No.1

본 눈문에서는 fuzzy difunctional relation 동치조건들을 소개하였고 이를 이용하여 fuzzy difunctional relation과 관련된 일부 결과를 제시하였으며 또한 반군에서의 퍼지합동관계를 α-cut로 특성화 하였다. In this paper, we shall introduce equivalent conditions of the fuzzy difunctional relation, give some results in connection with fuzzy difunctional relations and characterize the fuzzy congruence relation on a semigroup in terms of its α-cut. Also, closed relationship between fuzzy difunctional relations and fuzzy congruence relations will be revealed.