• Title/Summary/Keyword: Science and mathematics subject

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THE CALIBRATION ESTIMATION USING TWO-STEP NEWTON'S ALGORITHM IN TWO-PHASE SAMPLING

  • Son, Chang-Kyoon;Yum, Joon-Keun
    • Journal of applied mathematics & informatics
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    • v.7 no.1
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    • pp.237-245
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    • 2000
  • In this paper, we consider to the adjustment weighting procedure in the two phase sampling scheme. In general, the unit nonresponses may be occured in the final survey operation. When the unit nonresponse be generated in survey, it is able to use the auxiliary variable for estimating of interest variable. In this viewpoint, we use the two kinds level of auxiliary variable, $X_{1k}$ and $X_{2k}$ for the calibration procedure. We proprose the two-step Newton's method in the calibration estimation procedure for the two phase sampling.

A Study on the Teaching Methods of Classification in view of Curriculum Convergence (교과 융합의 관점에서 분류하기 지도방안 고찰)

  • Kim, YuKyung
    • Education of Primary School Mathematics
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    • v.21 no.2
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    • pp.193-208
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    • 2018
  • Classification is presented in the curriculum of elementary school mathematics, science, Korean language, and integrated subjects as the major function that needs to be learned. In addition, mathematics textbooks teach the classification as a basic process for organizing and interpreting collected materials in a separate unit. So, we analyzed the curriculum documents and textbooks of mathematics, science, Korean language, and integrated subjects. And we explored how to teach the classification in the context of mathematics subject. As a result, it is necessary to find different classification criteria in conjunction with detailed observation and investigation activities, and to teach that considering the circumstances and purpose of the classification. It also provided implications on how to revive converged classes that focus on big ideas and skills, which are commonly offered by various subjects.

A FAST KACZMARZ-KOVARIK ALGORITHM FOR CONSISTENT LEAST-SQUARES PROBLEMS

  • Popa, Constantin
    • Journal of applied mathematics & informatics
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    • v.8 no.1
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    • pp.9-26
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    • 2001
  • In some previous papers the author extended two algorithms proposed by Z. Kovarik for approximate orthogonalization of a finite set of linearly independent vectors from a Hibert space, to the case when the vectors are rows (not necessary linearly independent) of an arbitrary rectangular matrix. In this paper we describe combinations between these two methods and the classical Kaczmarz’s iteration. We prove that, in the case of a consistent least-squares problem, the new algorithms so obtained converge ti any of its solutions (depending on the initial approximation). The numerical experiments described in the last section of the paper on a problem obtained after the discretization of a first kind integral equation ilustrate the fast convergence of the new algorithms. AMS Mathematics Subject Classification : 65F10, 65F20.

Comparison between the Contents of 'Management of Resource and Environment' Area in Home Economics Textbook and Those of Other Subject Textbooks of Middle School (중학교 기술$\cdot$가정 교과서의 '자원의 관리와 환경' 영역과 다른 교과의 교육내용 관련성 분석)

  • Kim Ji Ho;Lee Yon Suk
    • Journal of Korean Home Economics Education Association
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    • v.17 no.1 s.35
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    • pp.55-68
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    • 2005
  • The purpose of this study was to compare the content of 'Management of Resource and Environment' area in middle school Home Economics textbook with other middle school subject textbooks. The middle school textbooks of Korean. Mathematics. Social Science. Science. Ethics. Technology. Arts. Music, and Physical Education were analyzed how the contents of these textbooks were similar to or different from those of 'Management of Resource and Environment' area in Home Economics textbooks. The contents of 8 subject textbooks except Music were related with those of 'Management of Resource and Environment' area in Home Economics textbooks. The content of Social Science was the most similar to 'Management of Resource and Environment' area in Home Economics textbooks although perspectives and focus were somewhat different. The unit of Home Economics textbook most related with contents of other subject textbooks was' Our Consumption Lives'. while 'Management of Time and Work for Adolescence' is the unit of Home Economics textbook least related with contents of other subject textbooks. However. similar contents were dealt with different focus and depth in textbooks according to objectives and characteristics of subject.

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Research Trends and Issues of Engineering Education in Korean Elementary and Secondary Education (국내 초·중등 공학 교육 연구 동향 분석)

  • Lee, Eun-sang
    • Journal of Engineering Education Research
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    • v.18 no.4
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    • pp.45-56
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    • 2015
  • The goal of this study was to analyze the research trends of engineering education in elementary and secondary education. To accomplish this goal, this study analyzed the journal papers by 'published year', 'research topic', 'research subject', 'research method' and 'related school subject'. Followings are the results of this study. First, regarding the published year, the studies related to the elementary and secondary school level engineering education had been conducted 1 to 3 pieces intermittently from 1995 to 2009. And the number of studies are more than 5 pieces after 2010. Second, regarding the research topic, the number of study followed by 'investigation for current status', 'tendency analysis', 'development of teaching method or model', 'verification of teaching method/models' effect'. Third, regarding the research subject, the number of study followed by 'student', 'literature', 'professor', 'teacher'. Fourth, regarding the research method, the number of study followed by 'survey research' and 'literature research', 'qualitative research', 'experimental research' and 'integrated research'. Fifth, regarding the related subject, the number of study followed by 'science', 'technology', 'mathematics', 'practical arts'. Based on the results of this study, there are the needs for further studies to establish theoretical foundation on the engineering content elements in elementary and secondary school level, analyze on related variables and effects, develop engineering assessment instrument, use a variety of research methods, and conduct study on the applications of engineering in math subject.

A Bibliometric Approach for Department-Level Disciplinary Analysis and Science Mapping of Research Output Using Multiple Classification Schemes

  • Gautam, Pitambar
    • Journal of Contemporary Eastern Asia
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    • v.18 no.1
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    • pp.7-29
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    • 2019
  • This study describes an approach for comparative bibliometric analysis of scientific publications related to (i) individual or several departments comprising a university, and (ii) broader integrated subject areas using multiple disciplinary schemes. It uses a custom dataset of scientific publications (ca. 15,000 articles and reviews, published during 2009-2013, and recorded in the Web of Science Core Collections) with author affiliations to the research departments, dedicated to science, technology, engineering, mathematics, and medicine (STEMM), of a comprehensive university. The dataset was subjected, at first, to the department level and discipline level analyses using the newly available KAKEN-L3 classification (based on MEXT/JSPS Grants-in-Aid system), hierarchical clustering, correspondence analysis to decipher the major departmental and disciplinary clusters, and visualization of the department-discipline relationships using two-dimensional stacked bar diagrams. The next step involved the creation of subsets covering integrated subject areas and a comparative analysis of departmental contributions to a specific area (medical, health and life science) using several disciplinary schemes: Essential Science Indicators (ESI) 22 research fields, SCOPUS 27 subject areas, OECD Frascati 38 subordinate research fields, and KAKEN-L3 66 subject categories. To illustrate the effective use of the science mapping techniques, the same subset for medical, health and life science area was subjected to network analyses for co-occurrences of keywords, bibliographic coupling of the publication sources, and co-citation of sources in the reference lists. The science mapping approach demonstrates the ways to extract information on the prolific research themes, the most frequently used journals for publishing research findings, and the knowledge base underlying the research activities covered by the publications concerned.

A study on the efficiency of remote subject classroom system in the secondary education - subject to high school consumers on the actual conditions and their cognition - (중등학교 이동식 교과교실제 운영 효율화에 관한 연구 - 고등학교 실태 및 사용자 인식을 중심으로 -)

  • Lee, Jae-Rim
    • The Journal of Sustainable Design and Educational Environment Research
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    • v.10 no.2
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    • pp.61-72
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    • 2011
  • The purpose of this study is to carry out the research of the satisfaction level of consumers (students and teachers) and managerial characteristics for model classes of the subject classroom system and to draw the effective plan of the system. The conclusions are as follows First, the biggest advantage of the system is to fulfill the educational goal according to an individual level and ability of each student while the biggest disadvantage is the inconvenience of students to change their classrooms for each specific class. Second, it is necessary to rearrange the classrooms according to the applied subjects from the aspect of curriculum management since the time frame is not convenient for recess. English and mathematics are required preferentially as applied subjects, however Korean (as a national language) and science are needed to be taught with level-differentiated classes, too. The ideal size of classes is most likely 20-25 students according to the result of research. Lastly, the space of environment is another requirement to secure smooth flow of students' movements and extra space for technical devices used for information research. The above analysis indicates the necessity of supplementation in space planning for further implementation of subject classroom system in secondary school.

A Case Study on Teaching and Learning of the Linear Function in Constant Velocity Movement: Focus on Integrated Curriculum of Mathematics and Science (등속도 운동에서 일차함수 교수-학습 과정에 관한 사례연구: 수학과 과학의 통합교육 관점을 기반으로)

  • Shin, Eun-Ju
    • Journal of Educational Research in Mathematics
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    • v.15 no.4
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    • pp.419-444
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    • 2005
  • As a theoretical background for this research, the literatures which focus on teaching and loaming of connecting with mathematics and science were investigated. And the rationale of integrated curriculum on the basis of the 7th mathematics curriculum and the goal of mathematics education and the forms of integrated curriculum and the integrated curriculum in foreign school were investigated. Depending on this review, the implement method of the integrated curriculum of mathematics and science in Korea school is suggested as the following: It requires designing inter-disciplinary into-grated problem or various teaching and learning materials which are based upon concept, skill, and principle by commonality found across the subject matter. Based on the analyses upon described above, three inter-disciplinary integrated teaching and learning materials were developed. And then, based on the case stud)', the research questions were analyzed in depth. Students could understand the developing process of linear function, develop the formula and grape representing the relationship between time and velocity, time and distance, and interpret realistic meaning of the slope.

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Direction of Revision of College Scholastic Ability Test Through Literature Review (문헌분석을 통한 대학수학능력시험 수리영역의 개정 방향 탐색)

  • Ko, Ho-Kyoung
    • Journal of the Korean School Mathematics Society
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    • v.11 no.3
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    • pp.467-481
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    • 2008
  • This paper analysed a bulk of theses performed in various perspectives relating to College Scholastic Ability Test since 1994. Further this searched suggestions of revisions of systems about College Scholastic Ability Test along with the revised curriculum throngh this analysis of previous studies, which were categorized into 'correspondence between goal and characteristics', 'impact on education', and 'impact on society'. According to previous studies, they treat crossing application, advantage & disadvantage among optional subjects, difference in subject and content between natural science and cultural science, subjects that have to be included into College Scholastic Ability Test. This research suggests some elements and basic & fundamental information which need to be considered in the process of revising in problem making system of College Scholastic Ability Test.

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Lotka's Law and the Frequency Distribution of Scientific Productivity of Mathematicians and Mechanical Engineers. (로트카 법칙과 학술정보의 생산성 연구)

  • Hahn Bock-Hee
    • Journal of the Korean Society for Library and Information Science
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    • v.24
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    • pp.53-71
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    • 1993
  • In 1926, Alfred Lotka examined the frequency distribution of scientific productivity of chemists and physicists. He observed that the number of persons making n contributions is about $1/ n^2$ of those making one and the proportion of all contributions that make a single contribution is about $60\%$. Investigator studing the applicability of 'Lotka's Law' to Mathematics and to Mechanical engineers have fitted Lotka's Law and concluded that the law applied to these subject fields.

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