• 제목/요약/키워드: Mathematical idea

검색결과 272건 처리시간 0.021초

SOME POPULAR WAVELET DISTRIBUTION

  • Nadarajah, Saralees
    • 대한수학회보
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    • 제44권2호
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    • pp.265-270
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    • 2007
  • The modern approach for wavelets imposes a Bayesian prior model on the wavelet coefficients to capture the sparseness of the wavelet expansion. The idea is to build flexible probability models for the marginal posterior densities of the wavelet coefficients. In this note, we derive exact expressions for a popular model for the marginal posterior density.

정적 동적 관점에서의 순환소수 (The Repeating Decimal from the Static and Dynamic View Point)

  • 조한혁;최영기
    • 대한수학교육학회지:학교수학
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    • 제1권2호
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    • pp.605-615
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    • 1999
  • In this paper, we explain the pedagogical phenomena appeared in the learning of 0.$\dot{9}$ = 1 in terms of its intrinsic mathematical structure, and investigate the reason why such phenomena happen. Also we analyze such phenomena through the dialogue between student and teacher, and present some instruction idea from the mathematical and educational view points.

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A STUDY ON THE TECHNIQUES OF ESTIMATING THE PROBABILITY OF FAILURE

  • Lee, Yong-Kyun;Hwang, Dae-Sik
    • 충청수학회지
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    • 제21권4호
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    • pp.573-583
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    • 2008
  • In this paper, we introduce the techniques of estimating the probability of failure in reliability analysis. The basic idea of each technique is explained and drawbacks of these techniques are examined.

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ON A SPECIAL CLASS OF MATRIX RINGS

  • Arnab Bhattacharjee
    • 대한수학회논문집
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    • 제39권2호
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    • pp.267-278
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    • 2024
  • In this paper, we continue to explore an idea presented in [3] and introduce a new class of matrix rings called staircase matrix rings which has applications in noncommutative ring theory. We show that these rings preserve the notions of reduced, symmetric, reversible, IFP, reflexive, abelian rings, etc.

Teaching Mathematics as an Alternative Approach to School Mathematics

  • Yanagimoto Tomoko
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제9권3호
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    • pp.233-241
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    • 2005
  • Mathematics has developed dramatically in today's world and come to be increasingly put into practical use in various fields in society. However, many Japanese students dislike mathematics. We have to study mathematics education with this situation in our mind. When we consider a better educational material, we don't have to consider only within the framework of the current school mathematics. We can expect to find good mathematical materials in fields beyond the school mathematics. In this paper, we study how the inclusion of idea such as 'fuzzy theory' and 'graph theory' influences pupils' approaches to learning mathematics.

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Advancing Mathematical Activity: A Practice-Oriented View of Advanced Mathematical Thinking

  • Rasmussen, Chris;Zandieh, Michelle;King, Karen;Teppo, Anne
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제18권2호
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    • pp.9-33
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    • 2004
  • The purpose of this paper is to contribute to the dialogue about the notion of advanced mathematical thinking by offering an alternative characterization for this idea, namely advancing mathematical activity. We use the term advancing (versus advanced) because we emphasize the progression and evolution of students' reasoning in relation to their previous activity. We also use the term activity, rather than thinking. This shift in language reflects our characterization of progression in mathematical thinking as acts of participation in a variety of different socially or culturally situated mathematical practices. We emphasize for these practices the changing nature of student' mathematical activity and frame the process of progression in terms of multiple layers of horizontal and vertical mathematizing.

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Leikin의 수학적 창의성 측정 방법에 대한 고찰 (A study about the Leikin's method of measuring mathematical creativity)

  • 하수현;이광호
    • 한국초등수학교육학회지
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    • 제18권1호
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    • pp.83-103
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    • 2014
  • 본 연구에서는 Leikin(2009)의 모델을 적용하여 수학적 창의성을 분석함으로써 Leikin의 모델이 갖는 한계점을 찾고 이를 통해 효과적인 수학적 창의성 측정 방법을 모색하고자 하였다. 이를 위하여 '과정 개방형 문제'와 '결과 개방형 문제'의 두 가지로 나누어 초등 수준에 적합한 개방형 문제를 마련한 후, 초등 5학년 영재 학생과의 면담을 통해 자료를 수집하고, 이를 분석하였다. 분석 결과, Leikin의 모델이 갖는 몇 가지 한계점을 찾을 수 있었다. 첫째, 한 학생의 동일한 풀이도 상이한 평가 순서에 따라 수학적 창의성 점수가 다르게 나올 가능성이 있었다. 둘째, 학생이 제시한 방법의 수가 많으면 많을수록 독창성이나 융통성보다 유창성이 전체 창의성 점수에 미치는 영향이 컸다. 셋째, Leikin의 모델을 통해서는 아이디어의 유용성과 정교성을 평가하기가 어려웠다. 넷째, Leikin의 모델은 과제 의존적이며 채점자마다 점수가 다르게 부여될 수 있다는 점에서 보편적으로 적용되기 위해서는 보완이 필요했다.

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그라스만의 수학 인식과 벡터공간의 일반화 (Grassmann's Mathematical Epistemology and Generalization of Vector Spaces)

  • 이희정;신경희
    • 한국수학사학회지
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    • 제26권4호
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    • pp.245-257
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    • 2013
  • Hermann Grassmann classified mathematics and extended the dimension of vector spaces by using dialectics of contrasts. In this paper, we investigate his mathematical idea and its background, and the process of the classification of mathematics. He made a synthetic concept of mathematics based on his idea of 'equal' and 'inequal', 'discrete' and 'indiscrete' mathematics. Also, he showed a creation of new mathematics and a process of generalization using a dialectic of contrast of 'special' and 'general', 'real' and 'formal'. In addition, we examine his unique development in using 'real' and 'formal' in a process of generalization of basis and dimension of a vector space. This research on Grassmann will give meaningful suggestion to an effective teaching and learning of linear algebra.

VERIFICATION OF A PAILLIER BASED SHUFFLE USING REPRESENTATIONS OF THE SYMMETRIC GROUP

  • Cho, Soo-Jin;Hong, Man-Pyo
    • 대한수학회보
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    • 제46권4호
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    • pp.771-787
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    • 2009
  • We use an idea of linear representations of the symmetric group to reduce the number of communication rounds in the verification protocol, proposed in Crypto 2005 by Peng et al., of a shuffling. We assume Paillier encryption scheme with which we can apply some known zero-knowledge proofs following the same line of approaches of Peng et al. Incidence matrices of 1-subsets and 2-subsets of a finite set is intensively used for the implementation, and the idea of $\lambda$-designs is employed for the improvement of the computational complexity.