• 한국수학교육학회지시리즈A:수학교육
• /
• 제47권1호
• /
• pp.11-25
• /
• 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.

• 한국의류학회지
• /
• 제31권9_10
• /
• pp.1384-1395
• /
• 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.

• 대한수학교육학회지:학교수학
• /
• 제13권1호
• /
• pp.155-173
• /
• 2011

본 연구는 문장제를 표상하는 능력의 신장을 목적으로, 문장제를 시각적 스키마의 형태로 유형화하여 학생들에게 제시하는 스키마 기반 프로그램을 구성하고 그 효과성을 검증하고자 하였다. 초등학교 2학년 60명 학생들을 실험조건과 비교조건에 무선배치하고 초등학교 2학년 수학-가 두 개 단원의 내용을 정하여 실험조건에는 시각적 스키마 기반 프로그램(Visual Schema Based Program)을 제시하고 비교조건에는 현교육현장에서 활용되는 교사용 지도서에 근거하여 다이어그램이나 그래프와 같은 문제해결 전략을 제시하는 수업을 실시하였다. 프로그램 효과를 검증하기 위해 사전 검사를 공변인으로 하는 일원 공변량분석(Oneway ANCOVA)을 실시한 결과 스키마 조건의 학생들이 유의미하게 높은 문제해결력을 보여주었으며 이와 같은 결과는 사전 및 사후검사에서 사용된 문장제의 난이도를 고려했을 때 더욱 두드러지는 차이를 보여주었다. 더 나아가서 실험조건에 있는 학생들이 스키마를 사용하는 빈도와 문제에서 요구되는 스키마를 얼마나 정확하게 활용했는지에 따라 문제해결능력에 관계가 있는 지 분석한 결과 도구의 사용빈도와는 .50, 그리고 도구 사용의 정확성과 는 .58의 높은 상관관계가 있는 것으로 나타났다. 이와 같은 결과는 문제의 표상과 문장제 해결이 서로 높은 관계가 있으며 스키마 기반 프로그램이 문제의 표상능력을 높이며 문제해결력 향상에 긍정적인 영향을 미친다는 것을 보여준다.

• 대한수학회지
• /
• 제43권5호
• /
• pp.1065-1080
• /
• 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.

• 대한수학회지
• /
• 제39권1호
• /
• pp.1-11
• /
• 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
• /
• 제39권1호
• /
• pp.11-21
• /
• 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.

• 대한수학회보
• /
• 제49권6호
• /
• pp.1335-1348
• /
• 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.

• 대한수학회지
• /
• 제55권3호
• /
• pp.507-530
• /
• 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.

• 한국원자력학회:학술대회논문집
• /
• 한국원자력학회 2001년도 춘계학술발표회요약집
• /
• pp.61-61
• /
• 2001

• 충청수학회지
• /
• 제35권1호
• /
• pp.13-23
• /
• 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.