• Journal of the Korean Chemical Society
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• v.61 no.4
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• pp.211-217
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• 2017

The purpose of this study was to examine UK students' use of multimodal representations in science. Students were asked to explain their understandings of the scientific concept and presentation of the multimodal representations in a science Assessing Pupils' Progress (APP) task. Participants of this study were fifty-four Year 7 students taught by the same teacher. Students from one class (27 students) were assigned to the experimental group, and then they received instruction encouraging the using of multimodal representations as evidences to support students' claims. One class (27 students) was assigned to the control group and they received instruction with traditional teaching methods. Both groups performed an APP task for assessment. The samples of APP assessments produced by students both from the experimental and control groups were analyzed using an analysis framework of multimodal representations, embeddedness in evidence and understanding of scientific concepts. Data analysis indicated that the students in the experimental group performed better than that of the control group on embeddedness of multimodal representations in the APP task. In addition, there was a significant difference between the two groups in the evaluation of understand of the scientific concepts.

• Kyungpook Mathematical Journal
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• v.57 no.4
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• pp.601-612
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• 2017

Let Q be the frame g-loop quiver, i.e. a generalized ADHM quiver obtained by replacing the two loops into g loops. The vector space M of representations of Q admits an involution ${\ast}$ if orthogonal and symplectic structures on the representation spaces are endowed. We prove equivalence between semisimplicity of representations of the ${\ast}-invariant$ subspace N of M and the orbit-closedness with respect to the natural adjoint action on N. We also explain this equivalence in terms of King's stability [8] and orthogonal decomposition of representations.

• Journal of the Korean Mathematical Society
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• v.45 no.4
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• pp.1135-1202
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• 2008

We construct the Fock space representations of classical quantum affine algebras using combinatorics of Young walls. We also show that the crystal graphs of the Fock space representations can be realized as the crystal consisting of proper Young walls. Finally, we give a generalized version of Lascoux-Leclerc-Thibon algorithm for computing the global bases of the basic representations of classical quantum affine algebras.

• Research in Mathematical Education
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• v.6 no.1
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• pp.29-38
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• 2002

The purpose of this paper was to examine early numerical representations between American and Korean children. Fifty-five first graders (35 Korean and 20 American) participated in the study. According to the findings of the current study, the author concluded that the Korean children had a stronger conception of base ten representations of numbers than that of the American children. The Korean children used various strategic reasoning such as decomposition and recomposition on the basis of base 10 structure to solve addition and subtraction problems effectively. However, the author cannot conclude that language differences would be the largest factor that would make Korean children sapient in the representations of base ten structures.

• Kyungpook Mathematical Journal
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• v.55 no.2
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• pp.233-249
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• 2015

This paper is concerned with applications of representations of the Lie group of class $D_4$ to PDE. A realization of all irreducible finite-dimensional representations of $D_4$ is found and their application to a study of solutions of some systems of partial differential equations is given.

• Journal of the Chungcheong Mathematical Society
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• v.16 no.2
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• pp.59-73
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• 2003

Throughout this paper, we denote that R is a near-ring and G an R-group. We initiate the study of R-substructures of G, representations of R on G, monogenic R-groups, faithful R-groups and faithful D.G. representations of near-rings. Next, we investigate some properties of monogenic near-ring groups, faithful monogenic near-ring groups, monogenic and faithful D.G. representations in near-rings.

• Proceedings of the Korean Information Science Society Conference
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• 2012.06c
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• pp.413-414
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• 2012

Currently the amount and variety of data being generated is unprecedented and dramatically changes the way individuals, groups, and societies act and make decisions. Visualization is one of the most important commonly used methods of analyzing and interpreting digital assets and the interactive environments are necessary to enable effective discovery and decision making. In this paper we present several examples and approaches to scalable functional representations and interactive visualization and analysis. The functional representations provide us unified, compact, continuous, multi-scale, and compressed representations in the data domain.

• Education of Primary School Mathematics
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• v.12 no.2
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• pp.81-97
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• 2009

Visual representations play an important role for students to understand the meaning of a given problem, devise problem-solving approaches, and implement them successfully. The purpose of this study was to investigate how 6th graders would use visual representations in solving mathematical problems and in what ways such use might affect successful problem solving. The results showed that many students preferred numerical expressions to visual representations. However, students who used visual representations, specifically schematic representations, performed better than those who employed numerical representations. Given this, this paper includes instructional implications to nurture students' use of visual representations in a way to increase their problem solving ability.

• Communications of the Korean Mathematical Society
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• v.14 no.1
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• pp.157-169
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• 1999

We consider the C\ulcorner-algebra O\ulcorner generated by infinite isometries \ulcorner,\ulcorner, …on Hilbert spaces with the property \ulcorner \ulcorner$\leq$1 for every n$\in$N. We present certain type of representations of C\ulcorner-algerbra O\ulcorner on a separable Hilbert space and study the conditions for irreducibility of these representations.

• Bulletin of the Korean Mathematical Society
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• v.40 no.2
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• pp.177-182
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• 2003

A metacyclic group is a group that has a cyclic normal subgroup with cyclic quotient. We characterize finite metacyclic groups that have faithful irreducible representations over a given field.