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통합적 이해의 관점에서 본 고등학교 학생들의 미분계수 개념 이해 분석
이현주 ( Hyun Ju Lee ),류중현 ( Jung Hyeon Ryu ),조완영 ( Wan Young Cho ) 한국수학교육학회 2015 수학교육논문집 Vol.29 No.1
본 연구의 목적은 고등학교 상위권 학생들이 미분계수 개념을 통합적으로 이해하고 있는지를 알아보는데 있다. 여기서 미분계수 개념의 통합적 이해란 미분계수의 발생맥락인 접선문제와 속도문제를 미분계수 개념과 연결하여 이해하고, 미분계수 개념, 미분계수의 대수적·기하적 표현, 미분계수를 다루는 응용 상황을 서로 유기적으로 연결하여 이해하는 것을 의미한다. 본 연구를 위하여 청주시에 소재한 S고등학교 2학년 상위권 학생 38명을 연구대상으로 선정하여 미분계수 개념의 통합적 이해 정도를 조사하였다. 통합적 이해의 관점에서 고등학교 수학Ⅱ 교과서와 여러 책을 참고하여 검사지를 개발한 후 현장 교사들과 전문가의 검토를 받아 수정·보완하였다. 검사지는 총 11개의 문항으로 구성되었으며 문항 1과 2-(1)은 미분계수 개념과 대수·기하 표현의 연결을, 문항 2-(2)와 4는 미분계수 개념의 발생맥락과 미분계수 개념의 연결을, 문항3과 10은 미분계수의 대수 표현과 기하 표현의 연결을 볼 수 있도록 하였다. 문항 5~9는 미분계수의 응용상황들로 구성되었는데 문항 6은 미분계수 개념과 응용의 연결을, 문항 8은 미분계수의 응용과 대수 표현의 연결을, 문항 5와 7은 미분계수의 수학 외에서의 응용과 기하 표현의 연결을, 문항 9는 수학 내에서의 응용과 기하 표현의 연결을 볼 수 있도록 하였다. 연구 결과 미분계수의 개념과 대수·기하 표현의 연결이 잘 이루어진 학생들의 비율은 높게 나타났으나 그 외의 연결이 잘 이루어진 학생들의 비율은 거의 절반이거나 절반에 미치지 못하는 것으로 나타났다. The purpose of this study is to investigate if top-ranked high school students do integrated understanding about the concept of a differential coefficient. For here, the meaning of integrated understanding about the concept of a differential coefficient is whether students understand tangent and velocity problems, which are occurrence contexts of a differential coefficient, by connecting with the concept of a differential coefficient and organically understand the concept, algebraic and geometrical expression of a differential coefficient and applied situations about a differential coefficient. For this, 38 top-ranked high school students, who are attending S high school, located in Cheongju, were selected as subjects of this analysis. The test was developed with high-school mathⅡ textbooks and various other books and revised and supplemented by practising teachers and experts. It is composed of 11 questions. Question 1 and 2-(1) are about the connection between the concept of a differential coefficient and algebraic and geometrical expression, question 2-(2) and 4 are about the connection between occurrence context of the concept and the concept itself, question 3 and 10 are about the connection between the expression with algebra and geometry. Question 5 to 9 are about applied situations. Question 6 is about the connection between the concept and application of a differential coefficient, question 8 is about the connection between application of a differential coefficient and expression with algebra, question 5 and 7 are about the connection between application of a differential coefficient, used besides math, and expression with geometry and question 9 is about the connection between application of a differential coefficient, used within math, and expression with geometry. The research shows the high rate of students, who organizationally understand the concept of a differential coefficient and algebraic and geometrical expression. However, for other connections, the rates of students are nearly half of it or lower than half.
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주기적 정성적분석을 통한 훈련목표 제공이 남자 역도 인상기술 향상에 미치는 영향
문영진,류중현,이순호 한국운동역학회 2004 한국운동역학회지 Vol.14 No.2
Y. J. MOON, J. H. RYU, S. H. LEE. Korean Journal of Sport Biomechanics, Vol. 14, No. 2, pp. 69-83, 2004. The purpose of this study is searching for technical merits and demerits of each weight lifting player through qualitative motion analysis system. Moreover, It is also analysis the repeating the establishment of exercise purpose and studying for the effect of the field adaptation. The subject of this study was five male weight lifting players who have been engaged in Korean Delegation Team. The institution of exercise target was made through two times qualitative analysis and the result of studying for the effect of the field adaptation was produced before offering feedback. Moreover, two time analysis added after offering feedback. All analysis was based on 2-D visual analysis. The results of this study are as follows: 1. Maximal barbell moving speed in starting phase was decreased after offering feedback. This result implies advancement of technical skills after offering feedback. 2. From starting posture to 앉아받기, forward and backward moving distance of hip joint was decreased after offering feedback in all subjects. This result represents advancement of technical skills after offering feedback. 3. In terms of pull phase, forward and backward moving distance of hip and shoulder joint was decreased after offering feedback in all subjects. This result represents advancement of technical skills after offering feedback. 4. In terms of pull phase, the difference of horizontal value of coordinates was decreased after offering feedback in all subjects. This result represents advancement of technical skills after offering feedback. 5. In terms of pull phase, the motion range of hip joint was decreased after offering feedback in three of five subjects and this represents advancement of technical skills after offering feedback. However, the rest of them were not variable or narrow decreasing. This result represents that feedback system could not brought tremendous effects. 6. From apex point of barbell to ? 6} =?j, the difference of barbell height was decreased after offering feedback in three of five subjects and this represents advancement of technical skills after offering feedback. However, the rest of them weren't variable or narrow increasing. This result represents that feedback system could not brought tremendous effects. 7. In terms of last-pull phase, the angular velocity of knee joint was increased after offering feedback in four of five subjects and this represents advancement of technical skills after offering feedback. However, the rest of them, only one subject, decreased. This result represents that feedback system could not brought tremendous effects. 8. In terms of last-pull, the conversional tendency of maximal extension to flextion came out all but simultaneously without offering feedback in four of five subjects. This is well-performed technique. Only one subject, however, could not use power effectively because the fact that his maximal extension came out in serial, from ankle to knee and waist means dispersion of power. In addition to, after offering feedback, only one subject made increasing the maximal extension of knee in last-pull and this result represents advancement of skills after offering feedback. However, the rest of them could not make meaningful development after offering feedback. 9. It might be assumed that searching for technical merits and demerits of each weight lifting player through qualitative motion analysis system could improve player's skill.
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