• 제목/요약/키워드: Mathematical journal

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수학 교육에서 '이해'의 의미와 구조에 대한 고찰 (Meaning and Structure of Understanding in Mathematics Education)

  • 정인철
    • 한국수학교육학회지시리즈A:수학교육
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    • 제42권1호
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    • pp.11-18
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    • 2003
  • One of the terms that are most often used in mathematics classrooms by either teachers or students might be about 'understanding' of mathematical concepts. Although 'understanding' in mathematics teaching and learning has been highly emphasized by many people, there is no exact and undebatable definition of 'understanding' as of yet. This paper tries to contribute to unfolding the meaning and the structure of understanding in mathematics education along with various literature and finally enhance our understanding of 'understanding' in mathematics education.

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창의적 문제해결과 문제변형을 위한 사고 (Thinking for creative problem solving and problem posing)

  • 김용대
    • 한국수학교육학회지시리즈A:수학교육
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    • 제43권4호
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    • pp.399-404
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    • 2004
  • Mathematical creativity is a main topic which is studied within mathematics education. Also it is important in learning school mathematics. It can be important for mathematics teachers to view mathematical creativity as an disposition toward mathematical activity that can be fostered broadly in the general classroom environment. In this article, it is discussed that creativity-enriched mathematics instruction which includes creative problem-solving and problem-posing tasks and activities can be guided more creative approaches to school mathematics via routine problems.

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2009학년도 전산수학과 신입생의 수학 능력 현황과 문제점 (The Present State and Problems in Mathematical Ability of Freshmen of Applied Mathematics Department in 2009)

  • 이규봉
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제23권4호
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    • pp.953-959
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    • 2009
  • 전산수학과 2009학년도 신입생의 수학 실력 현황을 입학 당시와 '기초수학 1'을 수강한 후 1학기 말에 파악한 자료를 바탕으로 그 문제점과 대책을 제시한다.

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수학적 과제가 수학적 의사소통에 미치는 영향 (The Influence of Mathematical Tasks on Mathematical Communication)

  • 이미연;오영열
    • 대한수학교육학회지:수학교육학연구
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    • 제17권4호
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    • pp.395-418
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    • 2007
  • 수학교육에서 수학적 의사소통을 강화하는 것은 교사에게 많은 것을 의존하는 교실 상황을 학생들이 그들 자신의 생각을 책임지는 상황으로 바꾸는데 도움을 준다. 이 연구는 수학적 의사소통에서 중요한 역할을 할 것으로 예상되는 수학적 과제가 수학적 의사소통에 미치는 영향에 대하여 탐구하였다. 이를 위해 인지적 요구수준에 따라 수학적 과제를 암기형, 절차형, 개념원리형, 탐구형으로 나누고, 각 과제 유형에 따라 학생들의 수학적 의사소통 참여, 수학적 정당화 유형, 수학적 합의과정이 어떻게 달라지는지 양적 분석방법과 질적 분석방법을 병행하여 살펴보았다. 수학적 과제는 학생들의 수학적 의사소통과 밀접한 연관성을 갖고 있으며, 어떤 과제로 학습하느냐에 따라 학습 효과는 달라진다. 따라서 해결방법이 다양하고 인지적 요구수준이 높은 수학적 과제를 제공하는 것은 학생들의 수학적 의사소통 능력을 향상시키는데 중요하다.

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ARTINIANNESS OF LOCAL COHOMOLOGY MODULES

  • Abbasi, Ahmad;Shekalgourabi, Hajar Roshan;Hassanzadeh-lelekaami, Dawood
    • 호남수학학술지
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    • 제38권2호
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    • pp.295-304
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    • 2016
  • In this paper we investigate the Artinianness of certain local cohomology modules $H^i_I(N)$ where N is a minimax module over a commutative Noetherian ring R and I is an ideal of R. Also, we characterize the set of attached prime ideals of $H^n_I(N)$, where n is the dimension of N.

OPTIMAL CONTROL PROBLEMS FOR SEMILINEAR EVOLUTION EQUATIONS

  • Jeong, Jin-Mun;Kim, Jin-Ran;Roh, Hyun-Hee
    • 대한수학회지
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    • 제45권3호
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    • pp.757-769
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    • 2008
  • This paper deals with the existence of optimal controls and maximal principles for semilinear evolution equations with the nonlinear term satisfying Lipschitz continuity. We also present the necessary conditions of optimality which are described by the adjoint state corresponding to the linear equations without a condition of differentiability for nonlinear term.

MATHEMATICAL CONSTANTS ASSOCIATED WITH THE MULTIPLE GAMMA FUNCTIONS

  • Jung, Myung-Ho;Cho, Young-Joon;Choi, June-Sang
    • East Asian mathematical journal
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    • 제21권1호
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    • pp.77-103
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    • 2005
  • The theory of multiple Gamma functions was studied in about 1900 and has, recently, been revived in the study of determinants of Laplacians. There is a class of mathematical constants involved naturally in the multiple Gamma functions. Here we summarize those mathematical constants associated with the Gamma and multiple Gamma functions and will show how they are involved, if possible.

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삼각형의 변들에 대한 등식을 탐구하는 한 방법에 대한 연구

  • 강인주;한인기
    • East Asian mathematical journal
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    • 제28권2호
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    • pp.197-213
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    • 2012
  • In this paper we study Soltan & Meidman's method that is able to be used in mathematical discovery. We analyze Soltan & Meidman's book "Tozdestva i Neravenstva v Treugolike" that is published in Moldova Republic. In this work we formulate Soltan & Meidman's method related with discovery of triangle's various equalities, and use the method to discovery mathematical equalities. As a result we suggest some new mathematical equalities related with triangle's sides and its proof.

ON THE STOCHASTIC OPTIMIZATION PROBLEMS OF PLASTIC METAL WORKING PROCESSES UNDER STOCHASTIC INITIAL CONDITIONS

  • Gitman, Michael B.;Trusov, Peter V.;Redoseev, Sergei A.
    • Journal of applied mathematics & informatics
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    • 제6권1호
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    • pp.111-126
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    • 1999
  • The article is devoted to mathematical modeling of prob-lems of stochastic optimization of the plastic metal working. Classifi-cation and mathematical statements of such problems are proposed. Several calculation techniques of the single goal function are pre-sented. The probability theory and the Fuzzy numbers were applied for solution of the problems of stochastic optimization.