• Title/Summary/Keyword: 수학 교육 방식

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Misconception of the Force in Scientifical Gifted Through the Knowledge State Analysis (지식상태 분석을 통한 과학영재들의 힘에 관한 오개념)

  • Park, Sang-Tae
    • Journal of Gifted/Talented Education
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    • v.20 no.3
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    • pp.1027-1037
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    • 2010
  • Comparing to the other subject, the relationship among physics contents is strong from the perspective of knowledge order as grades go up. That is, The things already that students learned, are learning and will learn are closed related from grade to grade. We expect students to be proactive and creative in studying physics, which is the goal of 21th century, analyzing their knowledge structure based on the knowledge order through assessment. Especially, using computer system, we provide students with substantial feedback for the assessment as well as objective validity is increased along with speedy and exact process in a bid to help students' mathematical understanding grow. This paper seeks to analyze the data from assessment applying knowledge spaces of the scientifical gifted in the force and the motion concept to applicate on teaching method.

Estimating optimal flood of the hydroelectric dams on the Bukhangang River (북한강 수계 수력발전댐의 최적설계홍수량 추정)

  • Kim, Sang Ug;Choi, Kwang Bae;Seo, Dong Il;Cheon, Young Il
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.286-286
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    • 2022
  • 홍수피해를 최소화하기 위한 수공구조물의 적정 규모 결정을 위해 사용되는 홍수빈도분석에는 통계적 분석절차에 따른 불확실성이 포함된다. 따라서 불확실성이 포함된 범주 내에서 가장 적절한 설계홍수량(design flood)를 결정하는 과정은 수공구조물의 최종단계에서 중요하게 다루어져야 하는 부분이나 이를 제시한 연구는 많지 않다. 비용-편익 분석기법을 홍수빈도분석 절차에 도입하여 구성되는 총 기대비용함수(total expected cost function)는 설계홍수량 중 최적 설계홍수량(optimal design flood)를 결정하기 위한 새로운 접근방식이다. 이 절차는 UNCODE(UNcertainty COmpliant DEsign)로 명명되어 사용된 바 있으나, 국내에서는 아직 적용 결과가 소개되지 않고 있다. 따라서 본 연구에서는 UNCODE의 수학적 구성 절차를 소개함과 함께 북한강수계에 위치한 수력발전댐(화천댐, 춘천댐, 의암댐, 청평댐)의 년최대유입량을 사용하여 최적 설계홍수량을 산정하고 이 결과를 기존 홍수빈도분석 결과와 비교하였다. 불확실성이 고려된 총 기대비용함수로부터 확률분포함수들(Gumbel 및 GEV)의 모수를 추출하는 과정에서 Metropolis-Hastings 알고리즘을 사용하여 불확실성의 범위를 추정하였으며, 비용-편익 분석기법에 사용되는 비용 및 피해함수는 수학적 구성의 편의성을 위하여 1차 선형함수로 가정되었다. 4개의 발전용댐, 2개의 확률분포 및 2개의 재현기간에 대하여 최적 설계홍수량의 중앙값이 기존 홍수빈도분석 절차에 의해 산정된 설계홍수량보다 일정 정도 큰 값으로 산정됨을 알 수 있었다. 향후에는 본 연구에서 적용된 절차를 간단한 수식형태로 함수화하여 발전용댐 운영의 실무업무나 하천기본계획의 수립 등에 있어 비용-편익분석 기법의 적용성을 높이기 위한 연구가 진행될 필요가 있을 것으로 판단된다.

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Analysis of the Verbs in the 2009 Revised National Science Curriculum-from the Viewpoint of Cognitive Domain of TIMSS Assessment Framework (2009 개정 과학과 교육과정의 성취기준에 사용된 서술어 분석 -TIMSS 인지적 영역 평가틀을 중심으로-)

  • Song, Eun-Jeong;Je, Min-Kyeong;Cha, Kyung-Mi;Yoo, June-Hee
    • Journal of The Korean Association For Science Education
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    • v.36 no.4
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    • pp.607-616
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    • 2016
  • In the 2009 revised science curriculum, comprehensive verbs such as 'know (38%)' and 'understand (46%)' are used in more than 80% of the achievement standard. Many readers, such as teachers, textbook makers, etc. have difficulties in interpreting the meaning of achievement standard sentences with these comprehensive verbs. On the other hand, 'Trends in International Mathematics and Science Study (TIMSS)' uses more various and specific verbs to express the cognitive domain. In this study, we analyzed the 2009 revised science curriculum achievement standard focusing on the TIMSS cognitive domain assessment framework. We divided achievement standard to 228 sentences and three teachers analyzed the meaning of verbs in achievement standard. There were two main results of this study. First, the verb 'Know' was analyzed into different kinds of meanings, such as 'Describe (27%)', 'Recall/Recognize (25%)' and 'Relate (17%)', etc; and the verb 'Understand' was analyzed into 'Explain (37%)', 'Relate (27%)' and 'Describe (21%)', etc. Second, there appeared to have a disagreement among the three analysts during the process of interpreting the achievement standards when the level and scope of the contents of each grade is not clear. This study concludes that there's a need for continuous discussion on the use of verbs in achievement standard to promote clearer expressions for better understanding.

The Simulator Design for the Analysis of Aircraft Longitudinal Dynamic Characteristics (항공기 세로 동특성 해석을 위한 시뮬레이터 설계)

  • Yoon, Sun-Ju
    • Journal of the Korea Computer Industry Society
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    • v.7 no.4
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    • pp.427-436
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    • 2006
  • State-space method for the analysis of the dynamic characteristics of a body motion is set up as mathematical tool for the solution of differential equation by computer. Representation of a system is described as a simple form of matrix calculation and unique form of model is available for the linear or nonlinear, time variant or time invariant, mono variable or multi variable system etc. For the analysis of state-space method a complicated vector calculation is required, but this analysis can be simplified with the specific functions of a software package. Recently as the Graphical User Interface softwares are well-developed, then it is very simplified to execute the simulation of the dynamic characteristics for the state-space model with the interactive graphics treatment. The purpose of this study is to developed the simulator for the educational analysis of the dynamic characteristics of body motion, and for the analysis of the longitudinal dynamic characteristics of an aircraft that is primarily to design the simulator for the analysis of the transient response of an aircraft longitudinal stability.

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A Relative Effectiveness of Item Types for Estimating Science Ability in TIMSS-R (문항 유형에 따른 과학 능력 추정의 효율성 비교)

  • Park, Chung;Hong, Mi-Young
    • Journal of The Korean Association For Science Education
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    • v.22 no.1
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    • pp.122-131
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    • 2002
  • Recently, performance assessment that makes growing use of free response items in a large scale assessment has been emphasized. This study is an empirical examination of the effectiveness of free response items in comparison with multiple choice items. Using the information function in Item Response Theory (IRT) framework, item information of free response items and multiple-choice items from the Third International Mathematics and Science Study-Repeat (TlMSS-R) were obtained. Test information of the whole science area as well as each area of science contents was computed. On average, free response items yielded more information than multiple choice items, especially in earth science, physics, chemistry, and life science. This study also showed that free response items were appropriate for students in high science ability. Also, free response items estimated students' science ability more accurately than multiple choice items with smaller number of free response items.

A Case Study of "Engineering Design" Education with Emphasize on Hands-on Experience (기계공학과에서 제시하는 Hands-on Experience 중심의 "엔지니어링 디자인" 교과목의 강의사례)

  • Kim, Hong-Chan;Kim, Ji-Hoon;Kim, Kwan-Ju;Kim, Jung-Soo
    • Journal of Engineering Education Research
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    • v.10 no.2
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    • pp.44-61
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    • 2007
  • The present investigation is concerned chiefly with new curriculum development at the Department of Mechanical System & Design Engineering at Hongik University with the aim of enhancing creativity, team working and communication capability which modern engineering education is emphasizing on. 'Mechanical System & Design Engineering' department equipped with new curriculum emphasizing engineering design is new name for mechanical engineering department in Hongik University. To meet radically changing environment and demands of industries toward engineering education, the department has shifted its focus from analog-based and machine-centered hard approach to digital-based and human-centered soft approach. Three new programs of Introduction to Mechanical System & Design Engineering, Creative Engineering Design and Product Design emphasize hands-on experiences through project-based team working. Sketch model and prototype making process is strongly emphasized and cardboard, poly styrene foam and foam core plate are provided as working material instead of traditional hard engineering material such as metals material because these three programs focus more on creative idea generation and dynamic communication among team members rather than the end results. With generative, visual and concrete experiences that can compensate existing engineering classes with traditional focus on analytic, mathematical and reasoning, hands-on experiences can play a significant role for engineering students to develop creative thinking and engineering sense needed to face ill-defined real-world design problems they are expected to encounter upon graduation.

An Analysis on Cognitive Obstacles While Doing Addition and Subtraction with Fractions (분수 덧셈, 뺄셈에서 나타나는 인지적 장애 현상 분석)

  • Kim, Mi-Young;Paik, Suck-Yoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.241-262
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    • 2010
  • This study was carried out to identify the cognitive obstacles while using addition and subtraction with fractions, and to analyze the sources of cognitive obstacles. For this purpose, the following research questions were established : 1. What errors do elementary students make while performing the operations with fractions, and what cognitive obstacles do they have? 2. What sources cause the cognitive obstacles to occur? The results obtained in this study were as follows : First, the student's cognitive obstacles were classified as those operating with same denominators, different denominators, and both. Some common cognitive obstacles that occurred when operating with same denominators and with different denominators were: the students would use division instead of addition and subtraction to solve their problems, when adding fractions, the students would make a natural number as their answer, the students incorporated different solving methods when working with improper fractions, as well as, making errors when reducing fractions. Cognitive obstacles in operating with same denominators were: adding the natural number to the numerator, subtracting the small number from the big number without carrying over, and making errors when doing so. Cognitive obstacles while operating with different denominators were their understanding of how to work with the denominators and numerators, and they made errors when reducing fractions to common denominators. Second, the factors that affected these cognitive obstacles were classified as epistemological factors, psychological factors, and didactical factors. The epistemological factors that affected the cognitive obstacles when using addition and subtraction with fractions were focused on hasty generalizations, intuition, linguistic representation, portions. The psychological factors that affected the cognitive obstacles were focused on instrumental understanding, notion image, obsession with operation of natural numbers, and constraint satisfaction.

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Case Studies Via Level Classes Of The Convergence Program For Verifying The Center Of Gravity (무게중심 확인 융합 프로그램의 수준별 수업 적용 사례연구)

  • Kim, Su Geum;Ryu, Shi Kyu;Kim, Sun Bae
    • Journal of the Korean School Mathematics Society
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    • v.17 no.4
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    • pp.771-804
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    • 2014
  • The concept of the center of gravity is presently being introduced in elementary school curriculums and is broadly applied to Mathematics, Physics, and the Engineering field in University education which are mostly theoretical classes much separated from actual life in the practical educational field. In 2013, ${\bigcirc}{\bigcirc}$ University of Science and Gifted Education, had developed the multidisciplinary approach program of verifying the center of gravity for gifted students, but this program was reconstructed and applied to ordinary students and the effectiveness was analyzed to lay the foundation and generalize this convergence education. Including experiments for verifying the center of gravity in an object with a hollow interior and the existence of a center of gravity outside an object, I proposed realizing the calculations by considering the weight of the lever, the Principle of the lever being a core factor when finding the center of gravity. We altered the existing 8 step program to a 4 step program for the told 65 students from elementary, Junior and High School students, letting them freely select the class lecture by themselves. The analysis attained from surveys, debates and interviews showed that by precise error analysis, students achieved a higher success experience, showing us the importance of the development of a new convergence program.

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A Study on Validity Analysis of Observation-Recommendation Admission System of the Gifted Children in IT to Lead Software-oriented Society (소프트웨어 중심사회를 선도할 정보영재아동의 관찰추천 입학제도 타당성 분석연구)

  • Jun, Woo-chun
    • Journal of Internet Computing and Services
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    • v.17 no.3
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    • pp.87-93
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    • 2016
  • In the current information-based society, information and communication technology(ICT) is very important for an individual, a society, and a nation. Especially, for a nation, ICT-related industries are forming an important part of a nation's economy. Also, unlike other industries, ICT-related industries do not require various infrastructures, and have an advantage of being developed with a few talented persons in a short period of time. In this sense, identification and education of gifted children in IT become an essential task of a nation's future. In the past, selection of the gifted children was based on paper tests. However, paper tests incurred various side effects such as private education. Since 2013, observation-recommendation system instead of paper tests has been fully adopted. The purpose of this paper is to analyze the validity of observation-recommendation admission system of the gifted children in IT. For this research purpose, the gifted children in gifted science education center attached in a university at Seoul become the focus of the samples. Their entrance score ranking and graduation record raking are compared for analysis of validity of admission system. After statistical analysis, there is a meaningful correlation between entrance score ranking and graduation record ranking for the gifted children in IT. It means that the higher entrance score ranking, the higher graduation record ranking. The analysis results are expected to be valuable baseline data for deciding usefulness of observation-recommendation admission system.

Eye Tracking Analysis for High School Students' Learning Styles in the Process of Solving on Earth Science I (지구과학 I 문제 해결 과정에서 나타난 학습유형에 따른 고등학생의 시선 추적 분석)

  • An, Young-Kyun;Kim, Hyoungbum
    • Journal of the Korean Society of Earth Science Education
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    • v.10 no.1
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    • pp.50-61
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    • 2017
  • The purpose of this study is to analysis eye tracking for high school students' learning styles in the process of solving in the behavioral domains of the College Scholastic Ability Test on Earth Science I. The subjects of this study were 50 students from two classes out of 4 classes in E high school in Chungcheong province. Among them, we conducted experiments by randomly sampling 2 students of each type of learning based on the criteria that they had not encountered the problem of Earth Science I from the past two years. The findings indicate that the item correctness rate of divergers, assimilators, convergers, and accommodators were higher in the knowledge domain, application domain, knowledge-understanding domain, and understanding domain. This confirms that there is a difference among the four learning styles in the level of achievement according to the behavioral areas of the assessment questions. The latter finding was that the high eye-share of AOI 2 appeared higher than AOI 1, 3, 4 in the course of solving the problems. This is because the four types of learners pay more careful attention to the AOI 2 area, which is the cue-or-information area of problem solving, that is, the Table, Figure, and Graph area. Therefore, in order to secure the fairness and objectivity of the selection, it is necessary that an equal number of questions of each behavioral domain be selected on the Earth Science I Test of the College Scholastic Ability Test in general. Besides, it seems to be necessary that the knowledge, understanding, application, and the behavior area of the inquiry be highly correlated with the AOI 2 area in development of test questions.