http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
- 中文 을 입력하시려면 zhongwen을 입력하시고 space를누르시면됩니다.
- 北京 을 입력하시려면 beijing을 입력하시고 space를 누르시면 됩니다.
RISS 인기검색어
- 검색키워드
- 저자 : 류시규 (검색결과 9 건)
- 무료
- 기관 내 무료
- 유료
-
-
-
류시규,김희정 동국대학교 교육연구원 2000 교육문제연구 Vol.15 No.-
For a long time the mathematical knowledge was understood as the group of the eternal truth, proved through the deductive inference of the absolute truth. Therefore, we regarded as all the mathematical prepositions as the absolute truth and any refutation or any presentation of objection was not necessary. Such point of view affected the mathematics education and caused the students to regard the mathematical knowledge as an informative one acquired from the accurate verification rather than from critical approach. Thus the mathematical knowledge were provided mechanically to the students in rather memory-oriented way, which, as a result, becomes one of the main reasons that the students regard the mathematics as an uninteresting and dull learning. In 20th century, however, lots of endeavors were made to improve such mathematics education. As one of the studies, more attention started to be paid to not only the informative aspect of mathematics but the methodological aspect and the importance of speculation. Affected by G. Polya, an mathematician who studied this matter and K. Popper who ever led the critical falsificationalism, Lakatos insisted that the mathematic education should provide the students with more opportunity to consequently get into more reasonable knowledge, rather than just a simplified calculation-oriented class or mechanical thinking, like the mathematics has been developed steadily all through long historical steps. Lakatos also argued that such improvement in inference capability can be accomplished through comparing the opinions by discussions with others and reaching more mutually reasonable point. And it will correspond to the pursuit of rationality, ultimate goal of mathematics education. In this paper, therefore, we would like to examine into the features of mathematical knowledge and its progressive process which Lakatos ever stated and then I would try to apply it to the models of mathematics class.
-
-
-
-
-
ON THE INTIAL VALUE DEPENDENCE OF THE PROPER QUADRATIC FIRST INTEGRALS IN DYNAMICAL SYSTEMS
Rew, See-Gew 東國大學校 1988 論文集 Vol.27 No.-
1946년, T.Y.Thomas는 그의 著書를 통하여 古典力學系에 관한 固有2次 第1積分을 取扱한 以後 最近까지 物理學的이며 幾何學的인 意味를 解析하지 못하고 있는 실정이다. 1972년, M. Ikeda 및 Y. Nishino에 의하여 單純 力學系에 있어서 固有 2次 第2積分을 3가지의 類型으로 分類하고 있을뿐이다. 筆者는 本小考를 통하여, 運動의 trajectories에 着眼하여 初期値를 導入함으로 固有 2次 第1積分을 더욱 細分化하였을 뿐만아니라, 그 結果 物理學的으로는 Total energy는 初期値와 無關함을 밝혀보았다. 이와 같은 接近方法은 窮極的으로는 幾何學의 오랜 宿願이던, 一般的인 Killing tensor을 硏究하는데 도움이 되리라 믿는다. Although the problem of the proper quadratic first integrals has been treated by various author [1], [5], [6], etc., it remains open what is the meaning of the quadratic first integrals, We have focused our attention on this problem for a simple dynamical system in a 3-dimensional Euclidean space, mainly on the relations between the quadratic first integrals and the trajectories of a particle motion. M. Ikeda and Y. Nishino have classified the dynamical system treated here into the three Case Ⅰ, Ⅱ and Ⅲ. Among the proper quadratic first integrals, which contain 5 independent factors, but in CaseⅠ, there is no proper quadratic first integrals. There we led to consider the CaseⅡ and Ⅲ. In the present paper, we have further classified te proper quadratic first integrals with respect to the initial values of te trajectories. For the CaseⅢ, the proper quadratic first integrals exhibit a simple dependence of the initial position, but not of the initial velocity. Importance is the CaseⅡ, since we must consider the energy dependence when we treat the velocity dependence. We may say that among the quadratic first integrals the total energy is the only one that does not depent on any initial condition. Analysis treated here is closely related with the study of the general Killing tensors remains open in the meaning. Therefore, the present work has made a certain contribution to the above problem of the Killing tensors. The geometric and physical meaning of the proper quadratic first integrals have remained open for a long time. For the simple dynamical system as an illustration, it is shown that among the proper quadratic first integrals, someof them exhibit certain dependence on the inital values and the others do not. Therefore the proper quadratic first integrals can be classified into several classes with respect to the properties of the initial value dependence.
-
무게중심 확인 융합 프로그램의 수준별 수업 적용 사례연구
김수금,류시규,김선배 한국학교수학회 2014 韓國學校數學會論文集 Vol.17 No.4
‘무게중심’의 개념은 현재 초등교과영역에서 처음 등장하여 대학의 수학과 물리학, 공학 분 야 등 폭넓게 응용되고 있지만 실제 교육은 실생활과 유리된 이론수업의 형태가 대부분이었 다. 2013년 ‘OO대학교 과학영재교육원’에서 영재학생들을 대상으로 ‘무게중심 확인 융합 프 로그램’을 개발하였고, 본 연구에서는 이 프로그램을 수준별 수업으로 재구성하여 비영재학 생들에게 적용시켜 그 효과성을 분석하고자 한다. 물체의 빈 공간이나 물체 밖에 무게중심이 존재하는 경우를 확인하는 실험 등 새로운 과정을 포함하였으며, 무게중심을 구할 때 핵심이 되는 지렛대의 원리에서 지렛대의 무게를 고려한 계산 방식을 제시하여 보다 실제적으로 개 념에 다가갈 수 있도록 하였다. 초․중․고등학교 학생 총 65명을 대상으로 기존 8차시 프로 그램을 4차시로 재편성하여 적용하였고, 수업 후 설문과 토론, 인터뷰 등을 통하여 분석한 결과, 학생들은 정밀한 오차분석 등의 과정을 통하여 수준 높은 성공의 경험을 하였다. The concept of the center of gravity is presently being introduced in elementary school curriculums and is broadly applied to Mathematics, Physics, and the Engineering field in University education which are mostly theoretical classes much separated from actual life in the practical educational field. In 2013, OO University of Science and Gifted Education, had developed the multidisciplinary approach program of verifying the center of gravity for gifted students, but this program was reconstructed and applied to ordinary students and the effectiveness was analyzed to lay the foundation and generalize this convergence education. Including experiments for verifying the center of gravity in an object with a hollow interior and the existence of a center of gravity outside an object, I proposed realizing the calculations by considering the weight of the lever, the Principle of the lever being a core factor when finding the center of gravity. We altered the existing 8 step program to a 4 step program for the told 65 students from elementary, Junior and High School students, letting them freely select the class lecture by themselves. The analysis attained from surveys, debates and interviews showed that by precise error analysis, students achieved a higher success experience, showing us the importance of the development of a new convergence program.
연관 검색어 추천
이 검색어로 많이 본 자료
활용도 높은 자료
