• The Mathematical Education
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• v.47 no.1
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• pp.11-25
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• 2008

The characteristics of the pseudo-conceptual or the pseudo-analytical behaviors according to the achievement level(i.e. advanced group, proficient group, basic group, and below-basic group) in grade 9 are as follows. The pseudo-conceptual or pseudo-analytical behaviors to get credit from teachers become conspicuous in lower achievement level. The high achieving students showed more pseudo-conceptual or pseudo-analytical behaviors without undergoing the process of reflection or control. The proficient group was short of control in computation, and the advanced group didn't control well in representation. The proficient group tended to depend on a past successful algorithm and behave habitually. Therefore, it is needed to teach mathematics according to the characteristic of pseudo-conceptual or pseudo-analytic behaviors shown in each achievement level.

• Journal of the Korean Society of Clothing and Textiles
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• v.31 no.9_10
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• pp.1384-1395
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• 2007

The purpose of this study was to investigate the factors of hairdo attitude and hairdo involvement, the differences in the hairdo involvement by hairdo attitude. The questionnaires were given to female residents in Seoul and Kyung-gi do during September to October 2006. 406 questionnaires were used for data analysis. The collected data were analyzed using SPSS 12.0 software such as factor analysis, Cronbach's alpha, ANOVA test and Duncan test. The results of this study were as follows: 1. The hairdo attitude factors were found to be 'leader's fashion conformity', 'distinct individuality', 'constancy', and 'consciousness of others' The hairdo involvement factors were found to be 'interests in hairdo', 'fashionableness', 'symbolic representation', 'risk awareness', and 'coordination of hairdo'. 2. As for the hairdo attitude, two groups were identified as the highly-oriented group and the lowly-oriented group. There were significant differences in all hairdo involvement factors depending on two groups. Highly-oriented groups of 'leader's fashion conformity' considered more about interests in hairdo, fashionableness, symbolic representation, and coordination of hairdo, except for risk awareness, signalling that the more people respond to leader's fashion, the higher they are involved with hairdo. Highly-oriented group of 'constancy' showed significant differences in fashionableness and risk awareness. Lower level of fashionableness but higher level of risk awareness than the lowly-oriented group. Highly-oriented group of 'consciousness of others' displayed high performance in all factors, implying that the more people respond to feedback and evaluation of others, the higher they are involved with hairdo.

• School Mathematics
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• v.13 no.1
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• pp.155-173
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• 2011

Problem representation is a key aspect in solving word problems. The purpose of this study was to investigate the effects of instructional program based on visual schema representing five types of word problems(Marshall, 1995). Two second grade classes of an elementary school located in Seoul were participated in this study. In experimental class, an instructional program including schema tools were suggested and administered and the other comparison group did have regular classes using diagrams and tables. Pre and post test including 15 word problems each were utilized to test students' problem solving ability. In addition, test scores on students' language ability were used to control the effects of word comprehension level on problem solving. The result revealed that experimental group showed higher problem representation and solving scores after controling the effects of pre-test. In addition, there was significant positive correlation between the ability to apply exact problem schema and problem solving results. The correlation was .58. This study showed even in the early developmental stage young students can get benefits from having instructions of word problem schema.

• Journal of the Korean Mathematical Society
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• v.43 no.5
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• pp.1065-1080
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• 2006

For 3-dimensional Bieberbach groups, we study the de-formation spaces in the group of isometries of $R^3$. First we calculate the discrete representation spaces and the automorphism groups. Then for each of these Bieberbach groups, we give complete descriptions of $Teichm\ddot{u}ller$ spaces, Chabauty spaces, and moduli spaces.

• Journal of the Korean Mathematical Society
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• v.39 no.1
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• pp.1-11
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• 2002

A Schur algebra was generalized to projective Schur algebra by admitting twisted group algebra. A Schur algebra is a projective Schur algebra with trivial 2-cocycle. In this paper we study situations that Schur algebra is a projective Schur algebra with nontrivial cocycle, and we find a criterion for a projective Schur algebra to be a Schur algebra.

• East Asian mathematical journal
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• v.39 no.1
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• pp.11-21
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• 2023

Non-trivial automorphisms of the unit disc in the complex plane can be classified by three classes; elliptic, parabolic and hyperbolic automorphisms. This classification is due to a representation in the projective special linear group of the real field, or in terms of fixed points on the closure of the unit disc. In this paper, we will characterize this classification by the distance function of the Poincaré metric on the interior of the unit disc.

• Bulletin of the Korean Mathematical Society
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• v.49 no.6
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• pp.1335-1348
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• 2012

We prove a Hardy inequality related to Carnot-Carath$\acute{e}$odory distance on H-type groups based on a representation formula on such groups.

• Journal of the Korean Mathematical Society
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• v.55 no.3
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• pp.507-530
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• 2018

It is shown that for a non-unitary twist of a Fuchsian group, which is unitary at the cusps, Eisenstein series converge in some half-plane. It is shown that invariant integral operators provide a spectral decomposition of the space of cusp forms and that Eisenstein series admit a meromorphic continuation.

• Proceedings of the Korean Nuclear Society Conference
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• 2001.05a
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• pp.61-61
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• 2001

• Journal of the Chungcheong Mathematical Society
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• v.35 no.1
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• pp.13-23
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• 2022

Let G be a semialgebraic group not necessarily compact. Let M be a proper semialgebraic G-set whose orbit space has a semialgebraic structure. In this paper, we prove the embeddability of M into a G-representation space when G is linear.