• Title/Summary/Keyword: 대학수학

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On the Tensor Product of m-Partition Algebras

  • Kennedy, A. Joseph;Jaish, P.
    • Kyungpook Mathematical Journal
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    • v.61 no.4
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    • pp.679-710
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    • 2021
  • We study the tensor product algebra Pk(x1) ⊗ Pk(x2) ⊗ ⋯ ⊗ Pk(xm), where Pk(x) is the partition algebra defined by Jones and Martin. We discuss the centralizer of this algebra and corresponding Schur-Weyl dualities and also index the inequivalent irreducible representations of the algebra Pk(x1) ⊗ Pk(x2) ⊗ ⋯ ⊗ Pk(xm) and compute their dimensions in the semisimple case. In addition, we describe the Bratteli diagrams and branching rules. Along with that, we have also constructed the RS correspondence for the tensor product of m-partition algebras which gives the bijection between the set of tensor product of m-partition diagram of Pk(n1) ⊗ Pk(n2) ⊗ ⋯ ⊗ Pk(nm) and the pairs of m-vacillating tableaux of shape [λ] ∈ Γkm, Γkm = {[λ] = (λ1, λ2, …, λm)|λi ∈ Γk, i ∈ {1, 2, …, m}} where Γk = {λi ⊢ t|0 ≤ t ≤ k}. Also, we provide proof of the identity $(n_1n_2{\cdots}n_m)^k={\sum}_{[{\lambda}]{\in}{\Lambda}^k_{{n_1},{n_2},{\ldots},{n_m}}}$ f[λ]mk[λ] where mk[λ] is the multiplicity of the irreducible representation of $S{_{n_1}}{\times}S{_{n_2}}{\times}....{\times}S{_{n_m}}$ module indexed by ${[{\lambda}]{\in}{\Lambda}^k_{{n_1},{n_2},{\ldots},{n_m}}}$, where f[λ] is the degree of the corresponding representation indexed by ${[{\lambda}]{\in}{\Lambda}^k_{{n_1},{n_2},{\ldots},{n_m}}}$ and ${[{\lambda}]{\in}{\Lambda}^k_{{n_1},{n_2},{\ldots},{n_m}}}=\{[{\lambda}]=({\lambda}_1,{\lambda}_2,{\ldots},{\lambda}_m){\mid}{\lambda}_i{\in}{\Lambda}^k_{n_i},i{\in}\{1,2,{\ldots},m\}\}$ where ${\Lambda}^k_{n_i}=\{{\mu}=({\mu}_1,{\mu}_2,{\ldots},{\mu}_t){\vdash}n_i{\mid}n_i-{\mu}_1{\leq}k\}$.

A Case Study of 'Lesson Study' in an U.S. School: As an Alternative Model for Teacher-led School Reform (미국의 레슨 스터디 실행 사례 연구: 교사주도의 학교 교육개혁의 대안적 모델)

  • Yu, Sol-a
    • Korean Journal of Comparative Education
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    • v.20 no.2
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    • pp.95-128
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    • 2010
  • This article presents a one and half-year process of Lesson Study conducted at a K-8 school in an urban district in the eastern U.S. Lesson Study, a Japanese form of professional development that centers on collaborative study of live classroom lessons, has spread rapidly in the U.S. since 1999 and has been argued as a promising alternative model for teacher-led school reform through professional development. The Lesson Study group described here was composed of five teachers, one administrator, and one instructional improvement coordinator belonging to the participant school and two instructional super-intendants from the school district. Data was collected from October 2007 to February 2009 and a qualitative case study method was employed for this study. Drawing a case of Lesson Study, this article intended to show how Lesson Study group members participated in planning, teaching, observing, discussing, and improving lessons collaboratively for student learning by enhancing teacher professional competence so that find directions for future implementation in Korea. This article investigates (1) process of Lesson Study, (2) issues Lesson Study group members mainly dealt with, and (3) changes have taken place in Lesson Study as it is conducted over time. (4) Finally, this article concludes with challenges to adopting Lesson Study successfully in Korea.

Centrifuge Model Tests on Trafficability of Very Soft Ground Treated with Geotextile and Sand Mat (토목섬유와 모래로 처리된 초연약지반의 장비주행성에 대한 원심모형실험)

  • Jun, Sang-Hyun;Lee, Jong-Ho;Yoo, Nam-Jae
    • Journal of the Korean Geotechnical Society
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    • v.26 no.3
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    • pp.13-23
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    • 2010
  • In this study, centrifuge model tests with 50 g gravitational condition were performed to evaluate the bearing capacity of very soft ground, improved by spreading geotextile and sand on the surface of ground, for the heavy machinery to be able to access. For undrained shear strength of ground model, prepared with the clay sampled from the field, being in the range of 3.1~11.7 kPa, bearing capacity tests were performed with the model footing and the loading system built to simulate the heavy machinery on the ground model treated with geotextile and sand. Test results were compared with theoretically and numerically evaluated ones. Test results about load-settlement curves showed that the bearing capacity increases with the increase of the undrained shear strength of ground. Punching shear or local shear failure was also observed. For a relatively low undrained shear strength of ground, settlement behavior is found to be crucial to evaluating the trafficability of machinery whereas bearing capacity becomes a dominant factor with the increase of undrained shear strength of ground. The method for assessing the bearing capacity of the ground related to trafficability of machinery is presented by acquiring the regression relationship between the contact pressure of machinery and settlements using load-settlement curves with the change of the undrained shear strength. Furthermore, results of numerical analyses about load-settlement relation are in relatively good agreement with those of centrifuge model test.

The Characteristics of the Elementary Gifted Children and the Direction of Korean Gifted Education Perceived by the Preservice Elementary Teachers (봉사학습을 경험한 예비교사의 초등영재아동의 특성과 영재교육 방향에 대한 인식)

  • Kim, Rah Kyung
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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    • v.7 no.12
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    • pp.177-185
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    • 2017
  • In order to succeed in gifted education, it is necessary to educate teachers with professional skills and qualities that meet the psychological characteristics of gifted students and satisfy their educational desires. The purpose of this study is to explore the characteristics of the science/mathematics gifted students the preservice teachers who participated in the service learning in the hothousing center annexed to the university, and the direction in which the Korean hothousing should proceed. For this, the service learning was conducted in the hothousing institution targeting three students attending A education college for 12 weeks. As a result of study, the gifted children showed the outstanding cognitive, affective, and creative natures which were expressed positively or negatively according to the situation. The study participants recognized the teachers had a duty to admit the distinctive nature of the individual gifted children and to provide the specially contrived education for them for the qualitative improvement of the Korean hothousing. Simultaneously they thought the gifted children should be regarded as ordinary children before the gifted persons and treated as the children. The necessity for preservice teachers to take the hothousing lectures requisitely and provide the learning chance focusing on the practical contents beyond the hothousing teacher training was brought forward in order to develop the systematic hothousing curriculum.

National Trends in Pediatric CT Scans in South Korea: A Nationwide Cohort Study (소아 전산화단층촬영의 국내 동향: 전국적 코호트 연구)

  • Nak Tscheol Kim;Soon-Sun Kwon;Moon Seok Park;Kyoung Min Lee;Ki Hyuk Sung
    • Journal of the Korean Society of Radiology
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    • v.83 no.1
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    • pp.138-148
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    • 2022
  • Purpose This study evaluated the rates and annual trends of pediatric CT scans in South Korea using a nationwide population-based database. Materials and Methods Data regarding pediatric CT scan usage between 2012 and 2017 were retrieved from the health insurance review and assessment service. Data on the age, sex, diagnosis, and the anatomical area of involved patients were also extracted. Results A total of 576376 CT examinations were performed among 58527528 children aged below 18 years (9.8 scans/1000 children), and the number of CT examinations per 1000 children was noted to have increased by 23.2% from 9.0 in 2012 to 11.0 in 2017. Specifically, the number of CT examinations increased by 32.9% for the 6-12 years of age group (7.4/1000 to 9.8/1000) and by 34.0% for the 13-18 years of age group (11.4/1000 to 15.3/1000). Moreover, majority of the CT scans were limited to the head (39.1%), followed by the extremities (32.5%) and the abdomen (13.7%). Notably, the number of extremity CT scans increased by 83.6% (2.3/1000 to 4.2/1000), and its proportion as compared to other scans increased from 25.3% to 37.7%. Conclusion CT scans in the pediatric population increased continuously from 2012 to 2017 at an annual rate of 4.4%. Therefore, physicians should balance the benefits of CT with its potential harms from associated radiation exposure in pediatric patients.

Domestic and International Experts' Perception of Policy and Direction on STEAM Education (융합인재교육(STEAM)의 정책과 실행 방향에 대한 국내외 전문가들의 인식)

  • Jung, Jaehwa;Jeon, Jaedon;Lee, Hyonyong
    • Journal of Science Education
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    • v.39 no.3
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    • pp.358-375
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    • 2015
  • The purposes of this study were to investigate the value, necessity and legitimacy of STEAM Education and to propose practical approaching methods for STEAM Education to be applicable in Korea through a variety of literature review, case studies and collecting suggestions from domestic and international educational experts. The research questions are as follows: (1) To investigate the perception, understanding and recognitions of domestic and foreign professionals in STEAM education. (2) To analyze policy implications for an improvement in STEAM. The following aspects of STEAM were found to be challenges in our current STEAM policy after analyzing multiple questionnaires with the professionals and case studies including their experiences, understanding, supports and directions of the policy from the governments. The results indicate that (1) there was a lack of precise and conceptual understanding of STEAM in respect to experience. Training sessions for teachers in this field to help transform their perception is necessary. Development of practical programs with an easy access is also required. It is important to get the aims of related educational activities recognized by the professionals and established standards for an evaluation. The experts perceived that a theme-based learning is the most preferred and effective approaching method and the programs that develop creative thinking and learning applicable to practice are required to promote. (2) The results indicate that there was a lack of programs and inducements for supporting outstanding STEAM educators. It is shown that making an appropriate environment for STEAM education takes the first priority before training numbers of teachers unilaterally, thus securing enough budget seems critical. The professionals also emphasize on developing specialized teaching materials that include diverse inter-related subjects such as science technology, engineering, arts and humanities and social science with diverse viewpoints and advanced technology. This work requires a STEAM network for teachers to link up and share their materials, documents and experiences. It is necessary to get corporations, universities, and research centers participated in the network. (3) With respect to direction, it is necessary to propose policy that makes STEAM education ordinary and more practical in the present education system. The professionals have recommended training sessions that help develop creative thinking and amalgamative problem-solving techniques. They require reducing the workload of teachers and changing teachers' perspectives towards STEAM. They further urge a tight cooperation between departments of the government related with STEAM.

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A Study on Development of Achievement Standards and Assessment Standards of Vocational Inquiry Section for 2005 College Scholastic Ability Test - Focus on Food and Nutrition Subject in the Field of Home Economics Order - (2005 수능 직업탐구영역의 과목별 성취기준과 평가기준 개발 - 식품과 영양 과목을 중심으로 -)

  • Na Hyeon-Ju;Min Kyung-Hee;Lee Hwa-young;Pyo Jum-sun;Ha Mi-ok;Jang Myung-Hee
    • Journal of Korean Home Economics Education Association
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    • v.17 no.2
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    • pp.197-219
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    • 2005
  • This study attempted, in accordance with the National Educational Curriculum, to develop achievement assessment standards for a course within the field of home economics which has been widely adopted by Korean vocational high schools, namely, the food and nutrition subject. Focus was also placed on strengthening the management of the curriculum for this food and nutrition course, as well as on establishing proper assessment standards by developing model assessment tools which can be used to assess the subject. The results of this study can be summarized as follows : First, based on an analysis of the related literature and materials. the desired notion of the achievement and assessment standards was established, and their significance ascertained the achievement and assessment standards for the food and nutrition course were set and the type of model assessment tool which should be developed, as well as the method in which it should be applied. was established Second. by analyzing the curriculums and the contents of the textbooks used in the food and nutrition subject, the researcher was able to compile the 70 factors which could to be used to develop the achievement and assessments standards, and then classify these into 6 main categories and 32 sub-categories. Based on the characteristics of these factors and learners' academic performance levels the number of factors was expanded to 89 in order to establish the achievement standards. In turn, these achievement standards were used, in accordance with the learners' achievement and teaming activity levels, to develop three different levels of assessment standards. namely, upper, middle, and lower ones. Third. a model assessment tool was developed which could be used by individual school units as a reference in terms of achievement and assessment standards, and that could be modified to meet each school's circumstances. In order to create the model assessment tool a 100-question questionnaire was formulated that contained various types of questions, such as essay, report, theoretical and practical, portfolio, as well as multiple choice-type questions. Lastly, the researcher introduced measures to effectively use the achievement and assessment standards developed for the food and nutrition course, as well as the model assessment tool in school units.

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A study on the method of developing achievement and assessment standards for the Subject of "Human Development", "Food and Nutrition" (가사ㆍ실업계 고등학교 전문교과에 대한 성취기준 및 평가기준 개발 방안 연구 -"인간발달"및 "식품과 영양"과목을 중심으로-)

  • Wang Seok-Soon
    • Journal of Korean Home Economics Education Association
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    • v.16 no.3
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    • pp.81-98
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    • 2004
  • This study is to conduct the basic study for the achievement and assessment standards for the subject of 'Human Development' and 'Food and Nutrition', which are the curricula of Vocational Home Economics High Schools. These two subjects were newly adopted in the Vocational study Section of the 2005 College Entrance Examinations. In other words, this study is to provide the basic data for implementing the quality education based on the proper assessment of the curricula. For this purpose. this study analyzed the character & objective of 'Human Development' and 'Food and Nutrition'. Secondly. through the theoretical review for the concept & necessity of absolute evaluation standards. this study ensures the concept of achievement and assessment standards. and also designs the developing measures (including procedures). The achievement standards were developed by the following 5 step procedures. (1) Analyzing the objectives & contents of curricula. (2) Designating the development field of achievement standards (3) Developing the achievement standards. (4) The assessment of achievement standards. (5) Confirming the achievement standards. The assessment standards were developed by the following 5 step procedures. (1) Analyzing the achievement standards, (2) Designating the assessment field (3) Developing the assessment standards (4) Evaluating the assessment standards (5) Confirming the assessment standards Thirdly, this study suggested the exemplary achievement standards and assessment standards for the subject of Human Development, Food and Nutrition. Future study needs some critical review for the method of developing achievement and assessment standards for the subject of Human Development, Food and Nutrition. For example. the properness of 'Contents Element' which was designated as the developing field in the achievement standards, the discussion on validity of Contents Element abstract. the base of evaluating classification in terms of low, middle and high level, and other things should be considered through critical discussion. Especially the follow-up study should include the development of various evaluating methods to enable the clear communication for the achievement and assessment standards based on abstract concept and theory, thereby it could enable the actual interpretation and practical use.

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An Analysis of the Competency Exam for College Education : Area of Science Inguiry (대학수학능력시험 실험 평가 문제의 분석 : 과학 탐구를 중심으로)

  • Kim, Eun-Jin;Kim, Young-Soo
    • Journal of The Korean Association For Science Education
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    • v.12 no.1
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    • pp.75-92
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    • 1992
  • The purpose of this study was to point out the problems of the competency exam for college education, a new college entrance exam, and to suggest the improvement ideas for it For this purpose, the test items of science inquiry were taken from the first, the second and the third pilot studies of the competency exam for college education which National Institute of Educational Evaluation had done. These tests were administered to 1,223 students of the general high school(422 for the 1st 400 for the 2nd, and 401 for the 3rd test). Also, those students' and the high school science teacher's opinions about the tests and the new college entrance exam were surveyed. The evaluation objectives of those test items were analyzed and the test item analyses were done. The results were as follows; (1) The evaluation objective analysis showed that most of the test The purpose of this study was to point out the problems of the competency exam for college education, a new college entrance exam, and to suggest the improvement ideas for it For this purpose, the test items of science inquiry were taken from the first, the second and the third pilot studies of the competency exam for college education which National Institute of Educational Evaluation had done. These tests were administered to 1,223 students of the general high school(422 for the 1st, 400 for the 2nd, and 401 for the 3rd test). Also, those students' and the high school science teacher's opinions about the tests and the new college entrance exam were surveyed. The evaluation objectives of those test items were analyzed and the test item analyses were done. The results were as follows; (1) The evaluation objective analysis showed that most of the test items were constructed based on the evaluation framework which was composed of scientific inquiry thinking ability, science concept, and scientific inquiry context dimensions. But, those items were unevenly distributed into a few areas of the evaluation framework. (2) The boys had higher mean scores than the girls in all of the tests, but these differences were not statistically significant. The natural science course students had significantly higher mean than the humanities course students in all of the test:(1st, F=12.643, p=0.0004 ; 2nd, F=45.757, p=0.0001 ; 3rd, F=36.162, p=0.0001). A significant interaction of sex and course was found in only 1st test( F=11.352. p=0.0008). (3) Most students answered the test was difficult and they needed more time to finish it Also, they added they had to study in a different way from the traditional one in order to prepare the new college entrance exam. Science teachers answered that those evaluation objectives of the tests corresponded well with the educational objectives of high school science and that the tests were suitable as measuring instruments of the scientific thinking abilities. But they pointed out it would be very difficult for them to teach students for preparing the exam under the exsting educational conditions. To carry out successfully the competency exam for college education, the following improvements were suggested. (1) Good evaluation methodology should be developed. (2) In-service science teacher training models on evaluation should be put in force. (3) Effective teaching models and strategies should be developed.(4) The high school science curriculum should be revised.

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The Myth of the Samsunghyeol through Communication Mathematic - Historical Analysis of The Goyangbu 3 (고양부 3을나의 3의 통신수학-역사적 분석을 통한 3성혈 신화 해석)

  • Lee, Seong kook;Lee, Moon Ho;Kim, Jeong Su
    • The Journal of the Convergence on Culture Technology
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    • v.8 no.3
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    • pp.581-587
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    • 2022
  • The water god, Venerable Bhadra, Indian Tammola (Tamla as the 'mol' and 'ju' characters were eliminated) came to Tamla with 900 Arahants(The highest Buddhist monks) around 563-483 BC. It is the propagation of Buddhism through the world's most sacred water (Heiligkeit). The traces of the three surnames of Goyangbu are the first samsunghyeol and the dwelling of the den of Jonjaam(cave of venerable Bhadra) in Yeongsil, giving a glimpse into the era of living in caves. The second is a link that is in line with 3, the basic number in the decomposition of 900 (=3*3*100) disciples of Bhadra, considering that 3 and 3 of the three surnames in Goyangbu are three times 9. At this time, 3 is the person of heaven and earth, religiously, marriage, hope, or complete number, and Jeju culture is resting everywhere. For example, 3 of the samsunghyeol, 3 of the 1, 2, 3 Dodong, 3 of the 3 Dado, 3 of the 3 Mudo, 3 of the 3 disasters, 3 of the Goyangbu 3-surnames, 3 of the house Olle Jeongnang and, among 900 (=3*3*100) disciples of Venerable Bhadra, the common factor is 3. It is the 'island of 3'. These papers consist of 1 and 2 parts. In Part 1, the name of Tamla came from Tammola, India, and 900 Indian Buddhist Arahants estimated that the three surnames in Goyangbu were the ancestors. Part 2 highlights how the basic principle of jeonganag derived from Indian customs has evolved and is being used in modern mobile communication and DNA gene life science.