• 한국과학교육학회지
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• 제25권4호
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• pp.533-540
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• 2005

이 연구에서는 물질의 입자적 성질이 강조되는 화학 개념 학습에서 학생들에게 제공되는 다양한 외적 표상들 간의 연계와 통합을 촉진시키는 방법으로서의 그리기와 쓰기의 효과에 대해 알아보았다. 남녀공학 중학교 1학년 224명을 통제 집단, 그리기 집단, 쓰기 집단으로 배치한 후,'보일의 법칙'과 '샤를의 법칙'에 대하여 2차시 동안 수업을 하였다. 세 집단 모두 거시적인 현상을 실험을 통해 관찰하게 한 후, 통제 집단 에서는 시각적 정보와 언어적 정보를 동시에 제공하여 학습하게 하였고, 그리기 집단에서는 제공된 언어적 정보에 대한 정신 모형을 그림으로 그리게 한 후, 이를 시각적 정보와 비교하게 하였으며, 쓰기 집단에서는 시각적 정보에 대한 정신 모형을 글로 쓰게 한 후, 이를 언어적 정보와 비교하게 하였다. 이원 공변량 분석 결과, 쓰기 집단의 개념 이해도 점수가 통제 집단보다 유의미하게 높았으며, 그리기 집단은 통제 집단보다 통계적으로 높은 경향성을 보였다. 개념 이해도 점수에서 수업 처치와 공간 시각화 능력 사이의 상호 작용 효과는 없었다. 학생들의 수업 인식 검사 결과에서는 대부분의 학생들이 쓰기와 그리기 활동을 통해 개념 이해가 잘 되었다고 응답하였으며, 일부 학생들은 쓰기와 그리기가 재미있었다고 응답하기도 하였다. 이에 대한 교육학적 함의를 논의하였다.

• 영재교육연구
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• 제5권2호
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• pp.17-36
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• 1995

The present study examined preschooler's (3-5yrs) representation and evaluation skills in a puzzle completion task. The puzzle contained panels of four children dressed for each seacon and the key to success was using a body scheme to reconstruct the panels (head, torso, legs, feet and sky on top). Baseline data (Study 1) revealed a developmental pattern of increasing bydy scheme representation along with more careful attention to season consitent construction. Spontaneous verbalization also shifted from more guiding statements (where'the head?) to move evaluative statements (this isn't right). Study 2 examined different intervention techniques for increasing representation (verbal laveling) and evaluative processes (error detection practice), along with a control group that had unassisted practice. Three year olds benefited from verbal labeling, four year olds from both types of training. Verbalizations also showed appropriated shifts toward increasing evaluation, particularly for the older children. These findings are discussed in terms of a developmental hypothesis that representation precedes evaluation skills and that training techniques should take into account the relative balance between representation and evaluation skills in the individual for the task at hand.

• 대한수학회보
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• 제43권1호
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• pp.119-123
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• 2006

Let G be a symmetric group. In this paper we describe a method that for a certain irreducible character X of G it finds a subgroup H such that the restriction of X on H has a linear constituent with multiplicity one. Then using a well known algorithm we can construct a representation of G affording X.

• 자연과학논문집
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• 제8권2호
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• pp.17-20
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• 1996

Fiber의 dimension이 일일 때, Equivariant Serre problem이 실 대수 범주에서 맞다는 것을 보였다. 즉 실 표현공간 위에서의 equivariant line bundle은 실 표현공간과 어떤 G-module의 product bundle과 동치임을 보였다.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제15권3호
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• pp.229-243
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• 2008

This paper is intended to clarify and verify two representation algorithms computing representations of elements of free groups generated by two linear fractional transformations. Moreover in practice some parts of the two algorithms are modified for computational efficiency. In particular the justification of the algorithms has been rigorously done by showing how both algorithms work correctly and efficiently according to inputs with some properties of the two linear fractional transformations.

• 충청수학회지
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• 제36권2호
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• pp.77-86
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• 2023

The purpose of this paper is to show that a certain finite dimensional representation of the rational Cherednik algebra of type A has a basis consisting of simultaneous eigenvectors for the actions of a certain family of commuting elements, which are introduced in the author's previous paper. To this end, we introduce a combinatorial object, which is called a restricted arrangement of colored beads, and consider an action of the affine symmetric group on the set of the arrangements.

• 한국CDE학회논문집
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• 제9권4호
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• pp.306-314
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• 2004

This paper explains the qualitative shape representation scheme and general shape analysis procedure based on shape feature categories. It takes two different groups of architectural drawings as examples and comparer them so as to confirm that the procedure is capable of comparing one group with another. In order to verify the validity of qualitative shape representation scheme, we used statistical methods as well as symbolic representation and analysis techniques. This paper concludes that two different groups of architectural drawings of similar kind are analyzed to be distinguished and specifically characterized. 11 drawings of Kahn and 13 drawings of Aalto are taken into considerations. Linear regressions are used in characterizing the shape featural relationships.

• 대한수학회보
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• 제53권6호
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• pp.1893-1908
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• 2016

In this paper, we obtain some behaviours of theta sums of higher index for the $Schr{\ddot{o}}dinger$-Weil representation of the Jacobi group associated with a positive definite symmetric real matrix of degree m.

• 대한수학회논문집
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• 제21권1호
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• pp.17-25
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• 2006

In this paper, we study the right regular representation $R_\Gamma$ of a finite group G on the vector space consisting of vector valued functions on ${\Gamma}/G$ with a subgroup r of G and give a trace formula using the work of M. -F. Vigneras.

• 대한수학회보
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• 제29권1호
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• pp.41-55
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• 1992

The characteristic free representation theory of the general linear group is one of the powerful tools in the study of invariant theory, algebraic geometry, and commutative algebra. Recently the study of such representations became a popular theme. In this paper we study the representation-theoretic structures of the symmetric algebra and the exterior algebra over a commutative ring with unity 1.