超越函數에 關한 敎材考察

박기양 서원대학교 사범대학 부설 교육연구소 1988 교육발전 Vol.7 No.-

그래프와 결합에 관한 연구

박기양 西原大學校 基礎科學硏究所 2003 基礎科學硏究論叢 Vol.17 No.-

Over thirty years ago, David Gale formulated the marriage problem or marriage game. It concerns two distinct finite sets of players, M and W variously interpreted as works and firms, interns and hospitals, … or just plain men and women. It turns out that stable matching always exist mathematically. The purpose of this paper is to get another approach through graphs. To do this I defined some necessary terminology such as arcs, marriage graph, stability, equivalent etc. Suppose that a marriage graph Γ contains the arc ((m, w), (m, w*)): Then the marriage graph Γ' obtained by eliminate (m, w) is equivalent to Γ. As a result, stable marriages exist in all marriage games. Moreover, one such may be get the result with work of finite times.

超越函數에 關한 敎材考察

朴奇陽 서원대학교 교육연구소 1988 敎育發展 Vol.7 No.1

After survey of five mathematics text books now in use of high school and university in Korea, I get following conclusion. 1.Pay no attention to have logical gap, the current definition of exponential function and logarithmic function used in high school text books is useful to student of civic science. 2.It is desired that we define logarithmic function by definition [6] after studying limit of seqence and integration to decrease the logical gap for student of natural science. 3.It is hopeful to interpret logarithms and natural exponential e by geometric method. 4.Introduce a functional eqution f(xy) = f(x) + f(y), f(x+y) = f(x) · f(y) to the student of Dep. of Mathematics. 5.Introduce many proofs of addition in trigonometric function for comparison.

의사 결정에 관한 연구

박기양 西原大學校 基礎科學硏究所 2004 基礎科學硏究論叢 Vol.18 No.-

The most important role of management of company is to decide in the opinion of company. The work's of management is to carry out the purpose of company and clear up the subject of all short of problem for concerning the matter. Be faced with difficult problems, management try to get the alternative for those problems with the staff. Management will estimate those alternatives and takes desirable one to achieve the purpose. These type of problem will be presented that are able to take as many slips of paper as you please. This problem first appeared in February 1960 issue of Scientific American[4]. It has come to be known as the beauty contest problem, the secretary problem, the marriage problem and the dowry problem. These type of problem will be presented that are able to take as many slips of paper as you please. To gain any insight into the problem, it is instructive to explore the simple cases first. I will try for the cases N=3, 4, 5 and evaluate the probability of success for each strategy. Even for N=10 there are about 3.5 million cases, while for N=l5 there are one trillion cases so it is impossible to list in every such cases as small case N. We must figure out some abstract methode to estimate the probability of success for rank exceeds those of the first n cards. (1) The best card may be included in n cards defining S_(n). (2) The best card may be preceded by at least e card whose.

高等學校 敎科書에서 代數構造上의 問題點考察

朴奇陽 서원대학교 교육연구소 1984 敎育發展 Vol.3 No.1

Mathematical thought is the good way to put our experience and concept in good order to find a model of new idea. Mathematics is a foundation-stone to understand and develop our morden world and unique match maker between mental science and natural science. Such mathematics appeared on the school education in the begining of 20-century when Euclid's Elements is the major cureculum. After that time, we have two mordern movement in mathematics education. The first mordern movement is based on the practicality and mentality of students. As a result, logical principle became weaker. The second movement comes into existence as the self evaluation of weak considering of logical principle. We have another problem because of the emphasis on the logical principle and exactness. That is poor progress and lose the willing for studying. We must achieve two goals: one is logical principle and exactness the other is poor progress and intention for learning. This research treats these problems on the base of Burner's theory. His teaching theory consists of four items as follows. 1) Predisposition to learning. 2) optimal structure of knowledge. 3) sequence. 4) reinforcement. He insists that we can obtain the desired learning result by optimal structure for any degree student and for any subject. In this research, I consider the algebraic structure and analyze five mathematic text books used now in high school. I find some problems and propose some ideas. 1) Calculate only the number of elements of finite act except infinite set. Cancel the term of infinite or teaching it after learning the 1-1 correspondence. 2) Teach almost all properties of set by induction. 3) Cancel the residue class. 4) Define the sequence by f: N→R. 5) Avoid the use of column vector and row vector at the introduction of matrix. Teach the matrix to literary course in high school if possible. 6) Use the terms such as group, ring and field. 7) Add subjective problems at the entrance examination.

중ㆍ고등학교 수학에서의 응용에 대한 연구

박기양 서원대학교 2001 교육논총 Vol.5 No.-

The purpose of school mathematical education in the society based on the knowledge and intelligence of the 21-century is to learn mathematical basic knowledge and ability, to bring up the ability and behaviour to solve any problem in the real life by raising the ability of thinking mathematically. What is the situation of the mathematical education? Overactive consumer-centered mathematical education lose the ground for mathematics and mathematician. Over 80 percents of the students of middle and high school resign to study mathematics, and only solve the mathematical problems to enter the university. Nobody concern the mathematics, more over they exclude the mathematics. Most student who makes a good score in the test of the international conference of mathematics gets lower result after he enter the university. Lew said that it is the time of peril to the Korean mathematical education. At this moment we must take off putting emphasis on the logic and the proof in the mathematical education, to find the problem in real life, to understand the meaning and the beauty of mathematics through the history of mathematics. The purpose of this study is to develope the mathematics Problem which is related to real life and history of mathematics. The society and government which is concern to the mathematics education should efforts to develope the apply problems. It is the shortest way to develope the mathematical education, science and the nation. That is (1) Increase the ratio of the mathematical problem which has variety solution. (2) Develope the interesting mathematical problem induce the curiosity and use it to the education. (3) It is necessary to change the thinking of mathematics teacher to the application. (4) Calculator and computer aid mathematical education is necessary to increase the application. (5) We must eager to promote the mathematical application. (6) By using the mathematics-test properly, we should raise the interesting of teachers and students to the application. (7) We must efforts to develope the variety of mathematics text book.

Optimization of Tool Path Pitch of Spray Painting Robots for Automotive Painting Quality

박기양,전도영 제어·로봇·시스템학회 2018 International Journal of Control, Automation, and Vol.16 No.6

The spray painting robots with mounted electrostatic rotating bell (ESRB) atomizers have been widely used to maintain high painting quality for various car models in rapid automotive production. The focus of this study is on developing the optimum coating path pitch while considering automobile painting quality. We define a deposition model optimized for the ESRB atomizer and introduce a method to optimize the path pitch with a cost function for painting thickness uniformity, which plays an important role in painting quality. In addition, experimental results are presented to verify the validity of the optimal path pitch simulation results. By using the results of this study, it is possible to improve the painting quality and thus the productivity of spray painting robots.

서평 : 교사를 위한 현대대수학 (신현용 지음)을 읽고

박기양 한국수학교육학회 2006 뉴스레터 Vol.22 No.3

제7차 교육과정 세대를 위한 우리 대학 교양과정(수학) 운영 방안 연구

박기양,김영국,박규홍,박혜숙,박윤범 서원대학교 사범대학 부설 교육연구소 2005 교육발전 Vol.24 No.1

高等學校 敎科書에서 代數構造上의 問題點考察

박기양 서원대학교 사범대학 부설 교육연구소 1984 교육발전 Vol.3 No.-