• 한국초등수학교육학회지
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• 제21권4호
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• pp.621-641
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• 2017

장의존-장독립 인지 양식의 학습자가 수학 과제 유형별 의사소통 과정에서 나타내는 특성을 파악하여 학습자의 인지 양식과 수학 과제 유형이 수학적 의사소통에 미치는 영향을 파악하는 것이 본 연구의 목적이다. 이를 위해 학생의 인지 양식과 수학학습 성취 수준, 성별을 고려하여 초등학교 6학년 학생 8명을 장의존-장독립의 4인 1모둠으로 편성하였다. 각 모둠에 4가지 유형의 수학 과제를 제시하고 수학적 의사소통 과정을 통해 협력하여 해결하도록 하였다. 학생들의 수학적 의사소통 과정은 수학적 의사소통 활성화와 말하기, 듣기 과정의 특징으로 나누어 분석하였다. 그 결과 인지적 수준이 높은 수학 과제는 학생들의 유의미한 수학적 의사소통 활성화에 긍정적 영향을 미쳤다. 그리고 학습자의 인지 양식에 따른 과제 접근 방법의 차이는 말하기, 듣기 의사소통 과정에 영향을 주었다.

• Steel and Composite Structures
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• 제23권5호
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• pp.493-499
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• 2017

The behaviour of steel frames is highly influenced by the beam-column connections. Traditionally, Steel frames were usually designed assuming that connections are ideally pinned or fully rigid. A semi-rigid connection, however, creates a balance between the two extreme approaches mentioned above. In this research, two full scales of Extended End Plate Connections (EEPCs) were tested. Mathematical and numerical models were used to analyse the connections, and close correlations were found between these models and the corresponding tested specimens, which confirmed the confidence in the experimental results. The experimental results obtained enrich the available test data about behaviour of EEPC. In addition, the purpose of studying EEPC experimentally is to compare the stiffness and moment-rotation curve of EEPCs with that of Cap Plate Connections (CPCs), which were tested in a previous work. CPCs have not been studied sufficiently in the literature. The results obtained show that the typical CPC reduces the connection stiffness and these results will make a valuable contribution to the available test data in the research area of CPC.

• Steel and Composite Structures
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• 제22권4호
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• pp.753-775
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• 2016

This paper aims to investigate the demountability of steel column-baseplate connections subjected to monotonic and cyclic loading. This paper presents the finite element analysis of steel column-baseplate connections under monotonic and cyclic loading. The finite element model takes into account the effects of material and geometric nonlinearities. Bauschinger and pinching effects were also included in the developed model, through which degradation of steel yield strength in cyclic loading can be well simulated. The results obtained from the finite element model are compared with the existing experimental results. It is demonstrated that the finite element model accurately predicts the initial stiffness, ultimate bending moment strength of steel column-baseplate connections. The finite element model is utilised to examine the effects of axial load, baseplate thickness, anchor bolt diameter and position on the behaviour of steel column-baseplate connections. The effects of various parameters on the demountability of steel column-baseplate connections are investigated. To achieve a demountable and reusable structure, various design parameters need to be considered. Initial stiffness and moment capacity of steel columnbaseplate connections are compared with design strengths from Eurocode 3. The comparison between finite element analysis and Eurocode 3 indicates that predictions of initial stiffness for semi-rigid connections should be developed and improved design of the connections needs to be used in engineering practice.

• 대한수학회보
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• 제47권3호
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• pp.575-583
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• 2010

In this paper, new q-analogs of Genocchi numbers and polynomials are defined. Some important arithmetic and combinatoric relations are given, in particular, connections with q-Bernoulli numbers and polynomials are obtained.

• 대한수학회지
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• 제39권3호
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• pp.411-424
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• 2002

We construct the canonical connection associated with a hypercontact structure. Moreover, we discuss the canonical connection associated with a sub-Riemannian 3-structure. As an application, we study the sub-symmetry property in terms of the canonical connection.

• 대한수학회보
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• 제39권3호
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• pp.359-376
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• 2002

We give a new interpretation of Darboux transforms in the context of orthogonal polynomials and find conditions in or-der for any Darboux transform to yield a new set of orthogonal polynomials. We also discuss connections between Darboux trans-forms and factorization of linear differential operators which have orthogonal polynomial eigenfunctions.

• 대한수학회지
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• 제32권2호
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• pp.301-309
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• 1995

Manifolds with recurrent connections have been studied by many authors, such as Chung, Datta, E.M.Patterson, M.Prvanovitch, Singal, and TAkano, etc (refer to [2] and [3]). Examples of such manifolds are those of recurrent curvature, Ricci-recurrent manifolds, and birecurrent manifolds.

• 충청수학회지
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• 제13권2호
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• pp.41-51
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• 2001

We show that an n-dimensional unit sphere in the 2n-dimensional de Sitter space can be associated to a solution of a partial differential equation on a Lorentzian Grassmannian system coming from the integrable system theory.

• 충청수학회지
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• 제24권4호
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• pp.825-832
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• 2011

In this paper, we make a minute and detailed proof of a part which is omitted in the process of obtaining the value of the curvature tensor for an invariant affine connection at the point {H} of a reductive homogeneous space G/H in the paper 'Invariant affine connections on homogeneous spaces' by K. Nomizu.

• 대한수학회보
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• 제58권3호
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• pp.699-710
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• 2021

In this paper, we study various connections of local spectral properties, invariant subspaces, and spectra when an operator S in 𝓛(𝓗) is an ampliation quasiaffine transform of an operator T in 𝓛(𝓗).