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 : 박홍경 (검색결과 56 건)
- 무료
- 기관 내 무료
- 유료
-
박홍경 장전수학회 2009 Proceedings of the Jangjeon mathematical society Vol.12 No.3
It is one of important and interesting topics in education of mathematics to study the process of the logical thinking and the intuitive thinking in mathematical problem-solving abilities from the viewpoint of mathematical thinking. The main object of the present paper is to investigate on this problem with reference to secondary talented students (students aged 16~17 years). In particular, we focus on the relationship between the preference of mathematical thinking and their mathematical problem-solving abilities.
-
Criticality of characteristic vector fields on almost cosymplectic manifolds
박홍경,김태완 대한수학회 2007 대한수학회지 Vol.44 No.3
Main interest of the present paper is to investigate thecriticality of characteristic vector fields on almost cosymplecticmanifolds. Killing critical characteristic vector fields areabsolute minima. This paper contains some examples of non-Killingcritical characteristic vector fields.
-
A SHORT NOTE ON ISOMETRY OF RIEMANNIAN MANIFOLDS TO SPHERES VIA MODIFIED RICCI TENSORS
박홍경,김태완,이우동,박정형 장전수학회 2010 Advanced Studies in Contemporary Mathematics Vol.20 No.4
The present paper considers the problem of finding conditions for a Riemannian manifold admitting a conformal vector field to be sphere. Related to this problem we extend some well-known results via the modification of the Ricci tensor.
-
박홍경,김태완 장전수학회 2013 Proceedings of the Jangjeon mathematical society Vol.16 No.4
An analysis on patterns of concepts in terms of lines and circles appeared in a textbook of secondary school mathematics
-
On lecturing of the concept of real numbers
박홍경 장전수학회 2015 Proceedings of the Jangjeon mathematical society Vol.18 No.4
in [Pa5] it has been studied three patterns of the concept of real numbers. Based on the previous research the present paper discusses with lecturing of the concept of real numbers in terms of concept patterns. We focus on the historical order of the concept of real numbers corresponding to concept patterns. The historical order is revisited from the viewpoint of problem-solving.
-
선형대수학의 학습에서 벡터이론은 행렬이론보다 선행되어야 하는가
박홍경,김태완,Pak, Hong-Kyung,Kim, Tae-Wan 한국수학사학회 2010 Journal for history of mathematics Vol.23 No.2
Today linear algebra is one of compulsory courses for university mathematics by virtue of its theoretical fundamentals and fruitful applications. Vector theory and matrix theory constitute of main topics in linear algebra. In the present paper we consider the question which of the two topics is prior in teaching of linear algebra. We suggest that vector theory should be prior to matrix theory contrary to the historical order of them. 오늘날 선형대수학은 이론의 기초적 성격과 응용의 풍부성으로 인해 대학수학에 있어서 필수적인 분야로서 자리하고 있다. 벡터이론과 행렬이론은 선형대수학의 주된 분야이다. 본 논문에서는 선형대수학의 학습에서 벡터이론과 행렬이론 중 어느 것을 먼저 도입하는 것이 바람직할 것인가에 대한 질문을 제시할 때 본 연구의 주된 결과, 역사적 순서와는 달리 벡터이론이 행렬이론보다 선행되어야 함을 주장한다.
-
On the mean curvature cohomology class on foliated manifolds
박홍경,Tae Wan Kim 장전수학회 2008 Advanced Studies in Contemporary Mathematics Vol.16 No.1
In this paper, we discuss with a question when a basic mean curvature formassociated to a transversally oriented foliationF on an oriented Riemannian manifold(M;g) is to be closed. Our results extend those obtained in [E-P], [Es].
-
Vector fields and modified Ricci curvatures
박홍경 장전수학회 2012 Advanced Studies in Contemporary Mathematics Vol.22 No.1
The classical Bochner theorem says that on a closed Riemannian mani-fold of negative Ricci curvature there exists no non-trivial Killing vector ¯eld. This result raises a natural and more general problem. Can we weaken the hypothesis on the Ricci curvature? In the present paper we consider the notion of ¸-automorphisms. Killing, a±ne, conformal, projective and Jacobi vector ¯elds are examples of ¸-automorphisms. Related to this problem, we give extensions of Bochner's vanish-ing theorems for the original Ricci curvature on a closed Riemannian manifold via modi¯ed Ricci curvatures in a uni¯ed way.
-
박홍경,김태완,남영만,Pak, Hong-Kyung,Kim, Tae-Wan,Nam, Young-Man 한국수학사학회 2007 Journal for history of mathematics Vol.20 No.2
수학적 개념의 지도순서에는 크게 역사적 순서, 이론적 체계, 강의적 체계순서로 나뉜다. 본 논문에서는 벡터개념을 대상으로 구체적으로 강의적 체계순서를 정하는 문제를 논의하고자 한다. 이를 위해 먼저 2가지 원료에 해당하는 벡터개념의 역사적 순서와 이론적 체계에 대해 조사한다. 이 조사를 바탕으로 양자의 결합으로서 벡터개념의 강의적 체계순서를 정하는 기준과 형태에 관해 고려한다. There are three kinds of order of instruction in mathematics, that is, historical order, theoretical organization and lecturing organization-order. Simply speaking, each lecturing organization-order is a combination of two preceding orders. The problem is how to combine between them. In a recent paper, we concretely considered this problem for the case of the concept of angle. The present paper analogously discuss with the concept of vectors. To begin with, we investigate theoretical organization and historical order of the concept of vectors as materials for the construction of its lecturing organization-order. It enables us to establish 4 stages in historical order of the concept of vectors proper to its theoretical organization. As a consequence, we suggest several criteria and forms for constructing its lecturing organization-order.
-
박홍경,김태완,정인철,Park, Hong-Kyung,Kim, Tae-Wan,Jung, In-Chul 한국수학사학회 2005 Journal for history of mathematics Vol.18 No.4
최근 저자들은 수학교육에서 수학사의 적극적인 활용과 수학지도의 순서를 결정하는 문제에 관해 연구하였다 수학지도의 순서로는 역사적 순서, 이론적 체계, 강의적 체계 순서의 세 유형이 제안되었다. 강의적 체계 순서는 역사적 순서와 이론적 체계의 결합이며 그 결합은 본질적으로 교사 개개인의 교육적 가치관에 따른다. 본 논문에서는 구체적으로 각의 개념에 관해 수학지도의 순서에 대한 결정문제를 다룬다. 실제 각의 개념은 도형의 개념에 관계하여 정의되기 때문에 도형의 개념에 관한 수학지도 순서의 결정 문제도 함께 다루어진다. 먼저, 수학사를 통해 도형의 개념의 역사적 순서를 조사한다. 다음에 도형에 대한 이론적 체계를 수립한다. 이러한 기초적인 자료로부터 문제 해결의 관점에서 도형의 개념의 강의적 체계 순서를 제시한다. 끝으로 제시된 도형의 강의적 체계 순서에 따라 각의 개념에 대한 강의적 체계 순서를 노의한다. 또한 가우스$\cdot$보네 정리와 관련하여 각의 대역적 성질에 관해서 고찰한다. In recent papers (Pak et al., Pak and Kim), it was suggested to positively use the history of mathematics for the education of mathematics and discussed the determining problem of the order of instruction in mathematics. There are three kinds of order of instruction - historical order, theoretical organization, lecturing organization. Lecturing organization order is a combination of historical order and theoretical organization order. It basically depends on his or her own value of education of each teacher. The present paper considers a concrete problem determining the order of instruction for the concept of angle. Since the concept of angle is defined in relation to figures, we have to solve the determining problem of the order of instruction for the concept of figure. In order to do this, we first investigate a historical order of the concept of figure by reviewing it in the history of mathematics. And then we introduce a theoretical organization order of the concept of figure. From these basic data we establish a lecturing organization order of the concept of figure from the viewpoint of problem-solving. According to this order we finally develop the concept of angle and a related global property which leads to the so-called Gauss-Bonnet theorem.
ScienceON연관 검색어 추천
이 검색어로 많이 본 자료
활용도 높은 자료
