• 제목/요약/키워드: Mathematical connections

검색결과 271건 처리시간 0.021초

수학적 상황 설정 방법에 관한 연구 (A Study on the Method of Mathematical Situation Posing)

  • 홍성민;김상룡
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제6권1호
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    • pp.41-54
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    • 2002
  • The purpose of this study is to find out what mathematical situation means, how to pose a meaningful situation and how situation-centered teaching could be done. The obtained informations will help learners to improve their math abilities. A survey was done to investigate teachers' perception on teaching-learning in mathematics by elementary teachers. The result showed that students had to find solutions of the textbook problems accurately in the math classes, calculated many problems for the class time and disliked mathematics. We define mathematical situation. It is artificially scene that emphasize the process of learners doing mathematizing from physical world to identical world. When teacher poses and expresses mathematical situation, learners know mathematical concepts through the process of mathematizing in the mathematical situation. Mathematical situation contains many concepts and happens in real life. Learners act with real things or models in the mathematical situation. Mathematical situation can be posed by 5 steps(learners' environment investigation step, mathematical knowledge investigation step, mathematical situation development step, adaption step and reflection step). Situation-centered teaching enhances mathematical connections, arises learners' interest and develops the ability of doing mathematics. Therefore teachers have to reform textbook based on connections of mathematics, other subject and real life, math curriculum, learners' level, learners' experience, learners' interest and so on.

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사회적 연결을 고려한 초등학교 수학 수업의 사례 분석 (An Analysis of Elementary Mathematics Lessons Considering Social Connections)

  • 김정원;김유경;방정숙
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제24권3호
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    • pp.157-174
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    • 2021
  • 본 연구는 한 학기 동안의 3학년 수학 수업에서 해당 교실의 사회적 구조를 형성하는 과정을 분석하고 그 속에서 교사와 학생, 학생과 학생 간의 다양한 사회적 상호작용 및 관계를 바탕으로 학습이 이루어지는 과정을 탐색하였다. 탐색 결과, 학기 초반에는 전반적인 사회적 규범의 형성과 함께 생산적인 수학 학습을 위한 여러 가지 기본적인 사회적 구조를 형성하는 데 초점을 두었다. 학기 중반에는 수학 개념에 대한 이해에 중점을 둔 탐구가 나타났으며 학생들의 상호작용에서도 모르는 것을 정확하게 질문하고 무엇을 명확히 설명해야 하는지 인식하였다. 학기 후반에는 수학적 탐구와 더불어 학생들의 개별 성향을 더욱 고려하고 수학을 학습하는 과정에서 지적 용기, 정직, 배려, 협력 등의 학문적 인성에 대해 강조하였다. 본 연구는 이러한 연구 결과를 바탕으로 수업에서 수학적 연결뿐만 아니라 사회적 연결을 충분히 고려하여 보다 의미 있는 수학 수업을 구현하는 데 시사점을 제공하고자 하였다.

Conformal Change in Einstein's *gλʋ-Unified Field Theory. -II, The Vector Sλ

  • CHUNG, KYUNG TAE
    • 대한수학회지
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    • 제11권1호
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    • pp.29-31
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    • 1974
  • In the first paper of this series, [2], we investigated how the conformal change enforces the connections and gave the complete relations between connections in Einstein's $^*g^{{\lambda}{\nu}}$-unified field theory. In the current paper we wish to investigate how the vector def $$S_{{\lambda}{{\mu}}{{^\mu}}{=^{def}}S_{\lambda}$$ is transformed by the conformal change. This topics will be studied for all classes and all possible indices of inertia.

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NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS ADMITTING NON-METRIC π-CONNECTIONS

  • Jin, Dae Ho
    • 대한수학회논문집
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    • 제29권4호
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    • pp.539-547
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    • 2014
  • In this paper, we study two types 1-lightlike submanifolds M, so called lightlike hypersurface and half lightlike submanifold, of an indefinite Kaehler manifold $\bar{M}$ admitting non-metric ${\pi}$-connection. We prove that there exist no such two types 1-lightlike submanifolds of an indefinite Kaehler manifold $\bar{M}$ admitting non-metric ${\pi}$-connections.

LICHNEROWICZ CONNECTIONS IN ALMOST COMPLEX FINSLER MANIFOLDS

  • LEE, NANY;WON, DAE-YEON
    • 대한수학회보
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    • 제42권2호
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    • pp.405-413
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    • 2005
  • We consider the connections $\nabla$ on the Rizza manifold (M, J, L) satisfying ${\nabla}G=0\;and\;{\nabla}J=0$. Among them, we derive a Lichnerowicz connection from the Cart an connection and characterize it in terms of torsion. Generalizing Kahler condition in Hermitian geometry, we define a Kahler condition for Rizza manifolds. For such manifolds, we show that the Cartan connection and the Lichnerowicz connection coincide and that the almost complex structure J is integrable.

창조적 지식기반사회 구축을 위한 초등수학과 실생활과의 연계 지도 방안 연구 (Exploration of Teaching for Mathematical Connections to Real Worlds in the Knowledge-Based Society)

  • 김민경
    • 대한수학교육학회지:학교수학
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    • 제2권2호
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    • pp.389-401
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    • 2000
  • The purpose of the study is to introduce how elementary mathematics pre-sevice teachers in pre-service teacher program could use and integrate poster, a kind of instructional media, to connect mathematics knowledge to real worlds. Poster examples include such as connection to mathematicians and mathematical connections to real world as well as nature. Further, future study will continue to foster students and teachers to try to construct their alive mathematics knowledge.

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UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING POISSON DISTRIBUTION SERIES

  • Murugusundaramoorthy, Gangadharan
    • 호남수학학술지
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    • 제40권3호
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    • pp.529-538
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    • 2018
  • The purpose of the present paper is to establish connections between various subclasses of analytic univalent functions by applying certain convolution operator involving Poisson distribution series. To be more precise,we investigate such connections with the classes of analytic univalent functions with positive coefficients in the open unit disk.

ON THE GEOMETRY OF COMPLEX METALLIC NORDEN MANIFOLDS

  • Blaga, Adara Monica;Kumar, Rakesh;Rani, Rachna
    • 대한수학회보
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    • 제59권5호
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    • pp.1069-1091
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    • 2022
  • We study almost complex metallic Norden manifolds and their adapted connections with respect to an almost complex metallic Norden structure. We study various connections like special connection of the first type, special connection of the second type, Kobayashi-Nomizu metallic Norden type connection, Yano metallic Norden type connection etc., on almost complex metallic Norden manifolds. We establish classifications of almost complex metallic Norden manifolds by using covariant derivative of the almost complex metallic Norden structure and also by using torsion tensor on the canonical connections.