• Title/Summary/Keyword: group representation.

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ON PROJECTIVE REPRESENTATIONS OF A FINITE GROUP AND ITS SUBGROUPS II

  • Park, Seung-Ahn;Park, Eun-Mi
    • Journal of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.735-745
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    • 1996
  • This is the sequel to our paper "On projective representations of a group and its subgroups I" [4]. In Section 4[4] we proved some global properties on regularity condition. The purpose of this paper is to study local properties, that is, we shall ask how the regularity condition on subgroups is related to that on group. Throughout the paper we use the same notations as in [4].as in [4].

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On the History and the Irreducible Characters in Group Representations (군표현의 역사와 기약지표들)

  • Wang Moon-ok;Lee Kwang-suk
    • Journal for History of Mathematics
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    • v.18 no.1
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    • pp.75-84
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    • 2005
  • In this paper, we know the historical background in group representations and prove the properties such that a finite group G has non-trivial abelian normal subgroup in some condition for the irreducible character G and prove the properties of product of irreducible characters of finite groups.

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A STUDY ON SUBSTRUCTURES OF R-GROUPS

  • Cho, Yong-Uk
    • East Asian mathematical journal
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    • v.25 no.2
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    • pp.171-177
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    • 2009
  • Throughout this paper, we denote that R is a near-ring and G an R-group. We initiate a study of R-substructures of G, monogenic R-groups, faithful R-groups and faithful D.G. representations of near-rings. Next, we investigate some properties of monogenic R-groups, faithful monogenic R-groups and a generalization of annihilator concepts in R-groups.

Development and Application of the Multiple Representation-Based Learning Strategies Using Augmented Reality on the Concept of the Particulate Nature of Matter (물질의 입자성 개념에서 증강현실을 활용한 다중 표상 학습 전략의 개발과 적용)

  • Lee, Jaewon;Park, Gayoung;Noh, Taehee
    • Journal of The Korean Association For Science Education
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    • v.40 no.4
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    • pp.375-383
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    • 2020
  • In this study, we investigated the effects of the multiple representation-based learning strategies using augmented reality in terms of students' conceptual understanding, achievement, and enjoyment of science lessons. 136 8th-grade students in a coed middle school were randomly assigned to the treatment and the control group. The students learned the concept of the particulate nature of matter related to the properties of substances for four class periods. The multiple representation-based learning strategies designed to facilitate the connecting and integrating representations provided from augmented reality were developed and administered to the students of the treatment group. Results of two-way ANCOVA revealed that the scores of a conceptions test and enjoyment of science lessons test of the treatment group were significantly higher than those of the control group, regardless of their prior science achievement. In a conceptions test, there was a significant difference in the concept of preservation of particles. However, the difference was not statistically significant in the concept of distribution and motion of particles. In terms of an achievement test, there was a significant interaction effect by their prior science achievement. The scores of low-level students were significantly improved, but the effects were not significant to high-level students. On the bases of the results, educational implications for effective teaching and learning using augmented reality are discussed.

Student Group Division Algorithm based on Multi-view Attribute Heterogeneous Information Network

  • Jia, Xibin;Lu, Zijia;Mi, Qing;An, Zhefeng;Li, Xiaoyong;Hong, Min
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.16 no.12
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    • pp.3836-3854
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    • 2022
  • The student group division is benefit for universities to do the student management based on the group profile. With the widespread use of student smart cards on campus, especially where students living in campus residence halls, students' daily activities on campus are recorded with information such as smart card swiping time and location. Therefore, it is feasible to depict the students with the daily activity data and accordingly group students based on objective measuring from their campus behavior with some regular student attributions collected in the management system. However, it is challenge in feature representation due to diverse forms of the student data. To effectively and comprehensively represent students' behaviors for further student group division, we proposed to adopt activity data from student smart cards and student attributes as input data with taking account of activity and attribution relationship types from different perspective. Specially, we propose a novel student group division method based on a multi-view student attribute heterogeneous information network (MSA-HIN). The network nodes in our proposed MSA-HIN represent students with their multi-dimensional attribute information. Meanwhile, the edges are constructed to characterize student different relationships, such as co-major, co-occurrence, and co-borrowing books. Based on the MSA-HIN, embedded representations of students are learned and a deep graph cluster algorithm is applied to divide students into groups. Comparative experiments have been done on a real-life campus dataset collected from a university. The experimental results demonstrate that our method can effectively reveal the variability of student attributes and relationships and accordingly achieves the best clustering results for group division.

The Patterns of Interaction in Teacher Interviewing with High School Students' Small Group for Biology Learning (생물 학습을 위한 고등학생 소집단과 교사의 면담에서 나타나는 상호작용 유형 분석)

  • Kim, Jung-Min;Song, Shin-Cheol;Shim, Kew-Cheol
    • Journal of Science Education
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    • v.37 no.1
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    • pp.117-130
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    • 2013
  • The purpose of this study was to analyze the patterns and features of interaction in teacher interviewing with high school students' small group for biology learning. The interactions in variety between the students and between the students and the teacher were made as the interviews with each small group were repeated to feedback for biology learning. The patterns of interaction were categorized into four types by interactive level of interaction among group members and a teacher: leader representation without interaction among students and the teacher(LR, leader representation), interaction among a part of students and the teacher(PSI, partial students interaction), active interaction among students inside the group, but only interaction between the teacher and the leader student(SAI, students active interaction), and interaction between all of the students and the teacher(teacher-students active interaction). Even though complex patterns of interactions were made among the students at the initial stage of insufficient understanding on the study concept, the simple interaction processes were shown as students had gradually completed the understanding on the concept. It was displayed that the interaction in the small group for biology study provides the opportunity to confirm and understand the concept to the students who were poor at the understanding on the concept, and it can influence positively on the mutual creation of study concept.

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Effects of Pictorial Representation on Academic Achievement and Scientific Attitude of Elementary Students (설명적 그림을 활용한 정리가 초등학생의 학업 성취도 및 과학적 태도에 미치는 영향)

  • Koo, Hyemin;Yeo, Sang-Ihn
    • Journal of Science Education
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    • v.40 no.2
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    • pp.131-143
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    • 2016
  • This research was conducted to investigate the effects under which learner-generated pictorial representation introduced in summary stage of lesson serve as an instructional strategy improving academic achievement and scientific attitude. The subjects of this study were 152 students (experimental group: 38 boys and 39 girls, control group: 36 boys and 39 girls). Using the learner-generated pictorial representation were applied to experimental group, whereas summarizing the lesson in writing to control group. The results of this study were as follows: First, there was no significant difference between the two groups in the post achievement results. But, a statistically significant difference on a delayed post-test of academic achievement was found between experimental and control groups. Second, there was no significant difference between boys and girls in the post achievement test. But a significantly positive effects on the academic achievement was found in boys of experimental group. Third, experimental group scored higher than the control group in all sub-domains of the scientific attitude; curiosity, openness, criticism, cooperativity, willingness, perseverance. Findings suggest the descriptive drawing is a viable way for elementary students to understand scientific concepts and to improve scientific attitude.

MOTHER-CHILD RELATIONSHIP OF CHILDREN WITH REACTIVE ATTACHMENT DISORDER (반응성애착장애아의 어머니-아동 관계)

  • Shin, Yee-Jin;Lee, Kyung-Sook;Park, Sook-Kyung
    • Journal of the Korean Academy of Child and Adolescent Psychiatry
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    • v.8 no.1
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    • pp.22-33
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    • 1997
  • The objective of this study is to understand disordered parent-child relationships of Reactive Attachment Disorder(RAD) systematically through the mother’ internal working model of child. In this study, RAD mothers’internal representations of the child were compared with mothers’of control group and association between mothers’ representation classifications and children’ attachment classifications was examined. Also individual differences in mother-child interaction by mothers’representation classifications was observed. The subjects of this study were 40 2-5 year-old children and their mothers, 20 attachment disordered dyads and 20 normal dyads of control group. Mothers were interviewed using the Working Model of the Child(Zeanah, Benoit & Barton 1986) to classify internal representations of child. Children’ attachment patterns were assessed by the Strange Situation Procedure. For observation of motherchild interaction, Each dyad was seen in DPICS devised by Eyberg and Robinson(1983). The results of the study were as follows:1) Among RAD group, 55% of mothers were classified as disengaged and 45% classified as distorted, while all mothers of control group were classified as balanced. In rating scales, there were significant differences in all 3 representation classifications in Intensity of involvement and Coherence. In Intensity of involvement disengaged representations had the lowest score and distorted representations had the lowest score in Coherence. 2) Mothers’representation classifications were related to children’ attachment classifications. All mothers of control group whose children were classified as secure were classified as balanced. Among RAD’ mothers, by contrast, 82% of mothers classified as disengaged had children classified as anxious-avoidant, 56% of mothers classified as distorted had children classified as disorganized / disoriented and 33% of mothers classified as distorted had children classified as anxious-resistant. 3) There were individual differences in mother-child interactions by mothers’representation classifications. In the child-centered play, mothers classified as disengaged used discriptive statement, reflective statement and discriptive-reflective question less than balanced mothers. Mothers classified as distorted used direct command and indirect command more than balanced mothers. In the clean-up task, mothers classified as disengaged and distorted used direct command and indirect command more than balanced mothers. The results of this study suggest that parents’working model of the child is an important factor to understand parent-child attachment relationships and their interactions. The understanding of parents’ working model of the child is thought to enrich our understanding of disordered parent-child relationships and to provide useful informations for specific and successful treatments.

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Exploration to Model CSCL Scripts based on the Mode of Group Interaction

  • SONG, Mi-Young;YOU, Yeong-Mahn
    • Educational Technology International
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    • v.9 no.2
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    • pp.79-95
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    • 2008
  • This paper aims to investigate modeling scripts based on the mode of group interaction in a computer-supported collaborative learning environment. Based on a literature review, this paper assumes that group interaction and its mode would have strong influence on the online collaborative learning process, and furthermore lead learners to create and share significant knowledge within a group. This paper deals with two different modes of group interaction- distributed and shared interaction. Distributed interaction depends on the external representation of individual knowledge, while shared interaction is concerned with sharing knowledge in group action. In order to facilitate these group interactions, this paper emphasizes the utilization of appropriate CSCL scripts, and then proposes the conceptual framework of CSCL scripts which integrate the existing scripts such as implicit, explicit, internal and external scripts. By means of the model regarding CSCL scripts based on the mode of group interaction, the implications for research on the design of CSCL scripts are explored.