• Title/Summary/Keyword: mathematical change

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수학 교과에 대한 정의적 특성의 종단적 추이 분석 (A longitudinal analysis on trend of mathematical affective domain)

  • 김현주;김원경
    • 한국수학교육학회지시리즈A:수학교육
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    • 제55권4호
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    • pp.447-465
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    • 2016
  • The purpose of this study is to analyze longitudinal trends of students' mathematical affective domain by use of the data mining method. For this purpose, we used the Korea education longitudinal study(KELS 2005) which was the survey data for students' achievement test, affective domain test, teachers' evaluation, and parents' evaluation from $7^{th}$ grader in the year of 2005 to $11^{th}$ grader in the year of 2010. Subjects of this study is a total of 5040 students who answered to the mathematical affective domain survey in KELS 2005. The result findings are as follows. First, students' affective domain had changed negatively as they went up to higher grade. Second, if students' affective domain had built at a certain level in $7^{th}$ grade, the level did not change easily until $11^{th}$ grade. Third, major factors of students' affective domain were shown to be self-efficacy, intrinsic motivation, efforts and patient, and time management.

수학교사의 확률과 통계에 대한 지식과 신념 (Mathematics teachers' knowledge and belief on the high school probability and statistics)

  • 김원경;문소영;변지영
    • 한국수학교육학회지시리즈A:수학교육
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    • 제45권4호
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    • pp.381-406
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    • 2006
  • This work aims to investigate mathematics teachers' knowledge and belief on the high school probability and statistics. For this aim, two research questions are estabilished as follows. (1) How is mathematics teachers' knowledge on the main contents of the high school probability and statistics in the 7th mathematics curriculum? (2) What is mathematics teachers' belief on the high school probability and statistics? Survey and interviews were carried out to answer the above research questions. Subjects of the survey were 2 7mathematics teachers who were answered to questionnaire. Among them, 3 volunteers were chosen by provinces for in-depth interview. Research findings in mathematics teacher's knowledge are as follows. Firstly, mathematics teachers do not have much of mathematical knowledge on the newly added and changed contents of the high school probability and statistics in the 7th mathematics curriculum. Secondly, mathematics teachers do not change their teaching-learning method for probability and statistics. Thirdly, many teachers think that the use of technology and reconstruction of the textbooks are required in teaching and learning of the high school probability and statistics. But, they stick on their own way. Research findings in mathematics teachers' belief are as follows. Firstly, many mathematics teachers view the nature of statistics as a branch of the applied mathematics and put the value of high school probability and statistics on the practical usefulness, Secondly, many mathematics teachers think that understanding concepts and improving problem solving ability are the best method of the teaching and learning. Thirdly, many mathematics teachers think that high school probability and statistics textbooks should cause motivations and interests in order not to give up studying probability and statistics. It is expected that the above findings can be used to change teachers' teaching and learning methods and to improve teachers training program.

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소집단 협동학습을 통한 의사소통활동이 어림측정전략에 미치는 효과 - 초등학교 5학년을 중심으로 - (A Study on the effects of small group cooperative learning on strategies for estimating measurement - focused on 5th graders -)

  • 김명옥;권성룡
    • 한국수학교육학회지시리즈A:수학교육
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    • 제48권3호
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    • pp.329-352
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    • 2009
  • The purpose of this study was to investigate the effects of small group cooperative communicative activities on the strategies for estimating measurement. To do this, two research questions were set as follow: First, are there any differences between strategies employed by students in the experimental group and the control group before and after the estimating measurement activities? Second, are there any differences between strategies employed by students in different ability levels(upper, middle, lower) of pre-estimating measurement test in the experimental group? The research results were drawn from the investigation as below: First, the strategical change of before and after the estimating measurement tasks in the experimental group was quite noticeable. Unlike the small strategical change in the control group, small group cooperative communicative learning resulted in a decrease of simple memorization and guessing strategies and an increase of refined strategies such as the standard strategy, clustering, unit load and so on. Second, mathematical communicative activities in a small group cooperative learning showed that the students in the upper level of pre-estimating measurement test used more refined strategies and the students in the lower level used simple memorization and guessing strategy more frequently. And through interaction in small group, students could have chances to recognize error of strategies and to modify and learn strategies. In conclusion, small group cooperative activities allowed students to have chances to communicate mathematically and it is a efficient way of helping students learn estimating measurement strategies.

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특성화고등학교 학생을 위한 수학과 진단평가 및 보정학습 자료 개발 연구 - '변화와 관계' 영역을 중심으로- (Development of remedial learning program for vocational high school students focused on the area of change and relation)

  • 최승현;황혜정;남금천
    • 한국학교수학회논문집
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    • 제16권2호
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    • pp.409-434
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    • 2013
  • 수리능력은 전문 역량 학습의 기초가 될 뿐만 아니라 직업 세계에의 적응과 경력 개발을 위해서도 필수적인 역량이다. 따라서 특성화 고둥학교 학생들의 기초 학력을 신장시키고, 나아가 이후 학생들이 직업 세계에 적응할 수 있도록 지원하는 학습 지원 체제가 필요하다. 이러한 취지하에, 이 연구에서는 특성화 고등학교 학생들의 수리능력을 향상시킬 수 있는 학생 개인별 수준에 맞는 맞춤형 프로그램을 개발하여 제공하고자 하였다. 이를 위하여, 첫째, 특성화고 마이스터고 학생들의 수리능력 신장을 위한 효율적 보정학습 체제를 구안하고자 하였다. 둘째, 보정학습 대상자 선정, 보정 대상 단계 및 수준 확정, 단계 인증을 위한 진단평가 도구를 개발하여 학습자 개개인을 위한 맞춤형 보정교육이 이루어질 수 있도록 하였다. 셋째, 직업 세계에서 수리능력의 효과적 활용을 도모하는 실제 중심의 보정학습 자료를 개발하고자 하였다. 다만, 본고에서는 자료 개발의 예로 모든 영역의 내용을 제시하기에는 방대하므로 함수에 해당하는 '변화와 관계' 영역에 중점을 두어 제시하였다.

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열간압연 공정 해석용 시뮬레이터의 개발과 응용(II) (Development of Hot Rolling Process Analysis Simulator and Its Application(II))

  • 이원호;이상룡
    • 소성∙가공
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    • 제8권1호
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    • pp.78-91
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    • 1999
  • The endless hot rolling has been focused as an innovative process technology for increasing the productivity drastically and reducing the imperfection of quality in hot rolled steel strip. To realize it in actual mill, a lots of new facilities such as bar coiler, movable LASER welder and high speed strip shear should be equipped. And also it is necessary to develop the control technique for changing the roll gap and rolling speed during rolling, which is named as Flying Gap and Speed Change control technology. To prevent a strip rupture caused by excessive tension, it is very important to minimize fluctuations in strip thickness and intension during FGSC control. In this paper, the mathematical model for FGSC control algorithm was suggested and dynamic simulation is performed to accertain the effect of suggested control method on fluctuations in strip thickness and tension. For endless hot rolling simulation, a lots of FGSC control situations, for instance - strip thickness change from strip to strip - strip width change from strip to strip - carbon content change from strip to strip are considered.

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무게중심 변화에 따른 자유날개 동체꺾임형 항공기의 조종성 해석 (Free-wing Tilt-body Aircraft Controllerability Analysis for Change of Center of Gravity)

  • 박욱제
    • 한국항공운항학회지
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    • 제19권4호
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    • pp.1-5
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    • 2011
  • The free-wing tilt-body aircraft is researched in the flight performance characteristics for center of gravity (CG) change. All of speed, body tilt angle and center of gravity change are simulated to determine the flight envelope by a non-linear 3-DOF mathematical model. In flight, this aircraft configuration changes by the tiltable empennage. Then, flight dynamics distinguishes from those of a conventional fixed-wing aircraft. Though flight performance and trimmability are studied by CG change, the flight model of free-wing tilt-body aircraft is to reduce the hidden risk and to achieve the successful flight test. It is analyzed the flight characteristics by CG change that distinguishes free-wing tilt-body aircraft from the conventional aircraft.

중학교 수학과 CAI 프로그램 개발 연구 -이차함수의 그래프를 중심으로- (A Study on the Development of Computer Assisted Instruction for the Middle School Mathematics Education - Focused on the graph of quadratic function -)

  • 장세민
    • 한국학교수학회논문집
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    • 제1권1호
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    • pp.151-163
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    • 1998
  • In mathematics education, teaching-learning activity can be divided largely into the understanding the mathematical concepts, derivation of principles and laws, acquirement of the mathematical abilities. We utilize various media, teaching tools, audio-visual materials, manufacturing materials for understanding mathematical concepts. But sometimes we cannot define or explain correctly the concepts as well as the derivation of principles and laws by these materials. In order to solve the problem we can use the computer. In this paper, character and movement state of various quadratic function graph types can be used. Using the computers is more visible than other educational instruments like blackboards, O.H.Ps., etc. Then, students understand the mathematical concepts and the correct quadratic function graph correctly. Consquently more effective teaching-learning activity can be done. Usage of computers is the best method for improving the mathematical abilities because computers have functions of the immediate reaction, operation, reference and deduction. One of the important characters of mathematics is accuracy, so we use computers for improving mathematical abilities. This paper is about the program focused on the part of "the quadratic function graph", which exists in mathematical curriculum the middle school. When this program is used for students, it is expected the following educational effect. 1, Students will have positive thought by arousing interests of learning because this program is composed of pictures, animations with effectiveness of sound. 2. This program will cause students to form the mathematical concepts correctly. 3. By visualizing the process of drawing the quadratic function graph, students understand the quadratic function graph structually. 4. Through the feedback, the recognition ability of the trigonometric function can be improved. 5. It is possible to change the teacher-centered instruction into the student-centered instruction. For the purpose of increasing the efficiencies and qualities of mathmatics education, we have to seek the various learning-teaching methods. But considering that no computer can replace the teacher′s role, tearchers have to use the CIA program carefully.

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수학 관련 교양교과목에 대한 교수-학습법 개선 및 교재 개발 (Improvement of methods of teaching-learning and development of teaching materials for general education courses related to mathematics)

  • 표용수;조성진;정진문;심효섭;박동준;차지환
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제21권3호
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    • pp.483-497
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    • 2007
  • 고등학교 학생들의 이공계열 기피현상, 다양한 형태의 대학 입학전형제도, 교육환경의 변화 등으로 대학에서의 교양수학 교육과정 운영과 학습지도 방안의 개선이 절실히 요구되고 있다. 이에 따라 본 연구에서는 학력 차 해소를 위한 수준별 학습지도 방안을 마련하고, 이공계열 전공영역별 맞춤 교재개발과 함께 효율적인 교양수학 교수-학습지도 방안을 제안한다.

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등차수열 수업에서 나타나는 학생의 수학 주목하기 (Students' mathematical noticing in arithmetic sequence lesson)

  • 조민수;이수진
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제38권1호
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    • pp.69-92
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    • 2024
  • 본 연구는 수열에 대한 학생의 두 가지 인식을 바탕으로 고등학교 수열 수업에서 나타나는 학생의 수학 주목하기를 분석하였다. 구체적으로 수학 주목하기를 초점의 중심, 초점을 유발하는 상호작용, 수학 과제의 특징, 수학 활동의 본질의 네 가지 측면에서 분석하여 다음의 결과를 얻었다. 우선 초점의 중심 변화 양상은 '초점을 유발하는 상호작용', '물질적 자원', '수학 활동의 본질' 중 어떤 한 구성요소만으로는 유일하게 묘사될 수 없었다. 다음으로 수학 주목하기 구성요소 간의 상호작용이 식별되었으며, 소집단 활동에서의 교사의 개별 피드백은 초점의 중심 형성에 영향을 주었다. 마지막으로 학생들은 동일 교실, 즉 동일 초점을 유발하는 상호작용, 물질적 자원, 수학 활동의 본질 내에서도 서로 다른 두 가지 추론 양상을 보였다. 본 연구가 마중물이 되어 수열에 대한 학생의 이해 연구가 더욱 활발히 진행되길 기대한다.

A Strategy of modeling for fermentation process by using genetic-fuzzy system

  • 나정걸;이태화;장용근;정봉현
    • 한국생물공학회:학술대회논문집
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    • 한국생물공학회 2000년도 춘계학술발표대회
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    • pp.177-180
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    • 2000
  • An algorithm for modeling of yeast fermentation process using genetic-fuzzy algorithm is presented in this work. The algorithm involves developing the fuzzy modeling of the process and model update capability against the system change. The membership functions of state variables and specific rates and the decision table were generated using genetic algorithm. This algorithm could replace the complex mathematical model to simple fuzzy model and cope with the change of process characteristics well.

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