• Journal of Korean Society of Transportation
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• v.20 no.4
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• pp.7-17
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• 2002

본 연구는 차대차 충돌사고시 차량충돌위치와 충돌속도 분석기법을 사고사례를 통해 연구하였다. 차량충돌위치는 사고현장 노면에 생성된 타이어 마크를 이용하여 수학적방법으로, 충돌속도는 실제 사고차량 최종정지위치와 모의충돌실험을 통해 분석된 차량 최종정지위치와의 차를 목적함수로 하여 이를 최소로 수렴하는 최적화기법을 이용하였다. 연구결과, 승용차량 오른쪽 앞바퀴 위치는 중앙선으로부터 좌측으로 0.45m 떨어진 진행방향 1차로 상이고, 왼쪽 앞바퀴는 중앙으로부터 좌측으로 0.345m 떨어진 지점에 위치한 상태이다. 최적화기법을 이용하여 사고차량의 충돌속도를 분석한 결과. 최적화의 오차율이 0.8%인 경우 충돌속도는 승용차량 67.75Km/h, 짚형 승용차량 29.67Km/h로 분석되었으며, 충돌 후 x축에 대한 속도는 승용차량 20.0Km/h, 짚형승용차량 15.69Km/h이고, y축에 대한 속도는 승용차량 15.68Km/h, 짚형 승용차량 7.66Km/h로 분석되었다. 반면, 기존 충돌속도 분석모형식을 이용하여 사고차량의 충돌속도를 분석한 결과 승용차량 64.97Km/h, 짚형승용차량 31.27Km/h로 도출되었다. 따라서, 최적화기법을 통해 분석한 충돌속도와 기존 분석모형식을 이용하여 분석한 충돌속도와의 오차가 승용차량 2.78Km/h, 짚형승용차량 1.6Km/h로 최적화기법을 이용하여 분석한 결과에 대한 신뢰성이 높은 것으로 연구결과 도출되었다 따라서, 추후 차 대 차 충돌사고를 분석함에 있어 타이어 흔적을 이용한 수학적방법과 모의충돌실험을 통한 최적화기법을 이용하면 충돌속도는 물론 충돌전.후 차량의 운동특성에 대한 정확한 분석이 이루어질 수 있을 것으로 기대된다.

• School Mathematics
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• v.19 no.2
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• pp.289-317
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• 2017

This study aims to explore how Korean middle-school mathematics textbooks on functions provide students an opportunity-to-learn [OTL]. For this purpose, we investigate 3 textbooks in terms of mathematics content and practice, the level of cognitive demands of mathematical tasks, types of student responses, types of context-based tasks, and connections among the tasks. The findings from the data analysis suggest as follows: a) an opportunity-to-learn to connect procedures to functional concepts and new ideas of functions to the existing one is very limited; b) the textbooks seem to provide students an OTL to understand functions as definitions, rules and conventions and to experience repeatedly procedural executions through worked examples and mathematics tasks; c) students may not experience to explain their own ideas/thinking by using mathematical sentence or justify their own cognitive processes; and d) students can be exposed to get a sense of mathematics as a set of fragmented and isolated facts or procedures, rather than to encourage to expand and deepen their understanding of functions.

• Journal of Korean Society of Industrial and Systems Engineering
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• v.22 no.52
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• pp.181-189
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• 1999

사건 가지 상의 파라메터 추정을 위한 베이지안 접근방식이 제시된다. 먼저 일반적인 사건 가지를 따라 발생하는 사고를 예측하기 위한 모형에 대해 설명한다. 이 경우 이론적으로 베이지안 기법을 적용하는 방법에 대해 논하고 실제로 문제를 풀 경우에 발생하는 다차원 수치적분 문제를 다룬다. 감마 분포와 베타분포가 이용될 경우 위 문제를 쉽게 해결할 수 있는 근사적 방법에 대해 연구한다. 또한 사건가지상의 여러 경로가 같은 수준의 사고로 분류 될 수 있는 경우에 대해서도 위와 같은 방법에 관한 연구를 한다. 결과적으로 한 사고율이 여러 개의 파라메터의 함수로 표현되어 다차원의 수치적분이 요구되는 경우 이를 쉽게 해결 할 수 있는 근사적인 방법이 제시되어 베이지안 기법의 적용이 용이해 질 수 있다.

• Journal of Gifted/Talented Education
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• v.20 no.1
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• pp.289-316
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• 2010

The purpose of this study was to investigate the relationship between thinking style and learning style of gifted children in elementary school. The subjects were 178 fourth, fifth and sixth grade elementary school students who enrolled in gifted education program. They were given the Thinking Style Questionnaire and the Grasha Reichmann Student Learning Style Questionnaire. Descriptive statistics, correlation analysis and canonical correlation analysis were performed. Results indicated that gifted students prefer legislative, judical, liberal, local, hierarchic, external thinking styles known to be related to creative and critical thinking rather than executive and conventional styles. Meanwhile, in the aspect of learning style, independent learning style than the dependent learning style, competitive style than the collaborative style, and participatory style than the avoiding style were significantly scored higher. The canonical analysis showed that thinking styles and learning styles share 59%(Rc=.77) each other, indicating the two variables had significant close relationship. External, liberal, hierarchic, judical, executive, and liberal thinking styles in the order named showed higher cross loading in the independent variable set, likewise independent, participatory, collaborative, and competitive learning styles in the dependant variable set. The results indicate that the external, liberal, hierarchic, judical, executive, and liberal thinking styles can be the significant predictors of independent, participatory, collaborative, and competitive learning styles. The implications of the study related to the gifted education were discussed in depth.

• Journal of Gifted/Talented Education
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• v.24 no.4
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• pp.679-701
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• 2014

As the validity issue of teacher nominations for the identification of gifted students has been raised recently, this study purports to test the validity of teacher nominations for selecting scientifically gifted students. As the criterion variables, domain specific traits such as science creative problem solving skills and science attitudes and domain general characteristics such as divergent thinking skills, creative attitudes, intrinsic motivation, and leadership were analyzed. Scientifically gifted students, potentially gifted students who had never been enrolled in gifted programs but were nominated as the scientifically gifted by teachers, and general class students participated in the study. The results of ANOVA showed that there were significant differences in all variables but originality factors of the TTCT and science creative problem solving skill test between gifted/nominated students and general class students; gifted/nominated students were significantly superior in these variables to general class students. The discriminant functions analysis yielded a discriminant function that significantly discriminated between gifted/nominated and general class students. Variables loaded on the discriminant function were science creative problem solving skills except for the originality subfactor, and science efficacy. These results imply that while teachers are likely to consider adaptation-oriented academic excellency related to logical thinking skills, problem solving skills, and science performance when nominating students, they may ignore the innovation-oriented property which is indicated as the fluency and originality factors of TTCT. Also, the criteria of teacher nominations are presumed to be congruent with the selection criteria of the gifted education program which pursued academic excellency as the educational goal. This suggests that with such criteria, high performing students in the science area can be sufficiently identified by teachers with no further identification procedures or/and tests.

• Journal of the Korean School Mathematics Society
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• v.23 no.1
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• pp.67-88
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• 2020

This study analyzed the characteristics of prospective teachers' Horizon Content Knowledge(HCK) related to understandings of an inverse function symbol. This study aimed to deduce implications of developing HCK in terms of the means which would enhance mathematics teachers' professional development. In order to achieve the aim, this study identified features of HCK by examining the previous literature on HCK, which has conformed Ball & Bass(2009) and exploring the research in AMT, including Zazkis & Leikin(2010) which has emphasized cultivating AMT through university mathematics education. In addition, a questionnaire was developed regarding the features of HCK and taken by 57 prospective teachers. By analyzing the data obtained from the written responses the participants presented, this study delineated the specific characteristics of the teachers' HCK with regard to an inverse function symbol. Additionally, several issues in the teacher education for improving HCK were discussed, and the results of this research could inspire designing and implementing a teacher education program relevant to HCK.

• Journal of Korean Society of Transportation
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• v.17 no.1
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• pp.75-89
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• 1999

위험물차량사고는 일반차량의 교통사고시 발생하는 인명피해, 재산피해, 교통지체 외에 부가적으로 환경적 영향에 의한 엄청난 인명 및 재산손실을 유발시킬 수 있다. 따라서 이러한 위험물차량사고를 예방하고 피해를 최소로 줄이기 위해서는 위험물수송경로의 신중하고 체계적인 결정이 필수적이라 할 수 있다. 따라서, 본 연구는 위험물차량의 수송경로를 결정할 때 고려해야 할 여러 가지의 기준 및 목표에 따라 위험물수송경로를 설정하는 모형을 제시함으로써 위험물수송에 수반되는 위험을 최소화하면서 위험물차량의 통행시간, 거리, 비용 등을 최적화하여 위험물수송의 안전 및 운영효율성을 향상시키고자 한다. 먼저, 위험물 수송경로의 기준지표로 사용될 위험도를 나타내기 위해 사고율과 피해가능규모를 구하도록 사 고건수, 링크 주변노출인구, 링크상의 노출인구, 밀도 등을 변수로 하는 모형식을 제안하고, 두 번째로 위험물 수송을 위한 최적경로를 산출하기 위해 위험도와 통행시간을 목적함수로 하는 다목적계획모형을 제안하였고 기존의 최적경로 알고리즘을 적용하여 최적경로를 산출하였다. 마지막으로 실제 수도권지역을 대상으로 본 연구에서 제안한 모형을 적용하고 현재 일반적으로 사용되는 최단경로와 비교.분석하였다. 모형적용결과, 링크주변인구만을 고려하는 기존 모형에 비해 링크상의 인구를 함께 고려함으로써 좀더 실제적으로 교통상황을 충분히 반영한 피해규모를 산정하였다. 또한, 본 연구에서 제안한 위험도와 통행시간에 0.5의 비중을 주는 다목적모형이 기존의 위험도모형에 비해 충분한 안전성을 확보하면서 최소 4%, 최대 12%의 통행시간 개선의 효과가 있음을 나타냈다.

• The Mathematical Education
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• v.43 no.2
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• pp.199-210
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• 2004

This study investigates 55 preservice secondary mathematics teachers' situational understanding of functional relationship. Functional thinking is fundamental and useful because it develops students' quantitative thinking about the world and analytical thinking about complex situations through examination of the relations between interdependent factors. Functional thinking is indispensable for understanding natural phenomena, for investigation by science, and for the technological inventions in engineering and navigation. Therefore, it goes without saying that teachers should be able to represent and communicate about various functional situations in the course of teaching and learning functional relationships to develop students' functional thinking. The result of this study illustrates that many preservice teachers were not able to appropriately represent and communicate about various functional situations. Additionally, it shows that most preservice teachers have limited understanding of the value of teaching function.

• The Mathematical Education
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• v.53 no.1
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• pp.25-40
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• 2014

Mathematical concept exists in the structural form, not in the independent form. The purpose of this study is to consider the network which students actually have for the mathematical concept structure related to the properties of derivatives. First, we analyzed the properties of derivatives in 'Mathematics II' and showed the mathematical concept structure of the relations among derivatives, functions, and primitive functions as a network. Also, we investigated the understanding of high school students for the mathematical concept structure between derivatives and functions, and the structure between functions and second order derivatives when the functional formula is not given, and only the graph is given. The results showed that students mainly focus on the relation of 'function-derivatives', the thinking process for direction of derivative and the thinking style for algebra. On this basis, we suggest the educational implication that is necessary for students to build the network properly.

• Journal of Advanced Marine Engineering and Technology
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• v.40 no.3
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• pp.235-239
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• 2016

The capsizing speed of an unstable vessel with a lost restoring moment can be understood as a unique response to an accident situation, and is naturally affected by such parameters as moment of inertia, metacentric height, and transverse damping coefficient of the hull in the case of free roll motion. Additionally, it is supposed that the analysis of capsize accidents can be further simplified when a vessel's leaning velocity is shown to be quite low. Therefore, capsize accidents with low leaning speeds are desirably categorized in view of rescuing strategies, as opposed to fast capsize accidents, since the attitude of the declining hull can be properly estimated, which allows rescuers to have more time for helping accident cases. This study focuses on deriving some analytical equations based on the roll decay ratio parameter, which describes how a hull under a low-speed capsize is related to the situational hull characteristics. The suggested equations are applied to a particular ship to disclose the analytical responses from the model ship. It was confirmed that the results show the general characteristics of slow capsizing ships.