• 제목/요약/키워드: mathematical change

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

  • Choe, Seung-Hyun;Hwang, Hye Jeang;Geum Cheon, Nam
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.409-434
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    • 2013
  • The mathematical ability is an essential element for achieving professional competencies and for enhancing application ability in a vocational world and exploring its experiences. In this aspect, for vocational high school students, it is an important and urgent issue to develop remedial learning programs for developing mathematical basic and application ability. In particular, the program is developed based on the individual achievement level, focused on a mathematical basic ability to be applied efficiently in a vocational world. Because of this reason, in this study, the program is comprised of two phases; one is diagnosis test and the other is remedial teaching and learning materials. Then, diagnosis test includes three test; I) level testing evaluation for selecting the subject of remedial learning, ii) pre-test for deciding on which area and level of the materials when students begin to study, and iii) post-test for confirming the learning status is satisfied and the possibility of next step(level) or the other area of the materials. To accomplish this, this study tried to devise an efficient remedial learning system. Based on the system, this study developed remedial learning programs on the four areas of number and quantity, change and relation, uncertain thing, and figure and shape in the middle school level. In particular, this program is comprised of two types of knowledge. One is K-knowledge which is an essential knowledge to achieve a basic mathematical ability. The other is C-knowledge which is the advanced knowledge required to apply efficiently in a vocational world. This paper deals with the content mentioned above, but examples of the materials is shown focused on the area of change and relation.

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

  • 이원호;이상룡
    • Transactions of Materials Processing
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    • v.8 no.1
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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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Free-wing Tilt-body Aircraft Controllerability Analysis for Change of Center of Gravity (무게중심 변화에 따른 자유날개 동체꺾임형 항공기의 조종성 해석)

  • Park, Wook-Je
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.19 no.4
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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.

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

  • 장세민
    • Journal of the Korean School Mathematics Society
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    • v.1 no.1
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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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Improvement of methods of teaching-learning and development of teaching materials for general education courses related to mathematics (수학 관련 교양교과목에 대한 교수-학습법 개선 및 교재 개발)

  • Pyo, Yong-Soo;Cho, Sung-Jin;Jeong, Jin-Mun;Sim, Hyo-Seob;Park, Dong-Joon;Cha, Ji-Hwan
    • Communications of Mathematical Education
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    • v.21 no.3
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    • pp.483-497
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    • 2007
  • It is necessarily required to improve how the curriculum of general mathematics and teachinmethod should be managed at university level due to students' avoidance to mathematics and science, various types of college entrance system and change of environment of education, etc. This paper provides the levelled teaching method to overcome the differences of students in academical sense and suggests effective teaching and learning method for general mathematics along with the appropriate teaching materials for each level of students.

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

  • Cho, Minsu;Lee, Soo Jin
    • Communications of Mathematical Education
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    • v.38 no.1
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    • pp.69-92
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    • 2024
  • This study analyzed students' mathematical noticing in high school sequence classes based on students' two perceptions of sequence. Specifically, mathematical noticing was analyzed in four aspects: center of focus, focusing interaction, task features, and nature of mathematics activities, and the following results were obtained. First of all, the change pattern of central of focus could not be uniquely described by any one component among 'focusing interaction', 'task features', and 'the nature of mathematical activities'. Next, the interactions between the components of mathematical noticing were identified, and the teacher's individual feedback during small group activities influenced the formation of the center of focus. Finally, students showed two different modes of reasoning even within the same classroom, that is, focusing interaction, task features, and nature of mathematics activities that resulted in the same focus. It is hoped that this study will serve as a catalyst for more active research on students' understanding of sequence.

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

  • Na, Jeong-Geol;Lee, Tae-Hwa;Jang, Yong-Geun;Jeong, Bong-Hyeon
    • 한국생물공학회:학술대회논문집
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    • 2000.04a
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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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A Study on the Effects of the Peer Tutoring on Mathematical Inclination And Mathematical Communication Ability of Peer Tutors (또래교수가 또래교사의 수학적 성향과 수학적 의사소통능력에 미치는 영향)

  • Jung, Mi-Jin;Kwon, Sung-Yong
    • School Mathematics
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    • v.13 no.1
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    • pp.127-153
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    • 2011
  • The purpose of this study was to investigate the effect of peer tutoring on mathematical inclination and mathematical communication ability of peer tutor. For the purpose of this study, research questions were established as follows: 1. How does peer tutoring affect to the mathematical inclination of peer tutors? 2. How does peer tutoring affect to the mathematical communication ability of peer tutors? To answer the research questions, four 5th grade peer tutors were selected for qualitative case study in an elementary school located in Goyang-si, Gyeonggi-do. Before and after 11 weeks of peer tutoring in their mathematics classes, mathematical inclination, mathematical communication ability of peer tutors were examined. For qualitative analysis, peer tutors were asked to complete worksheets, self-evaluation, journal for their peer tutoring in daily basis during the experiment. By comparing the scores in mathematical inclination test and mathematical communication test before and after the treatment and analyzing the data gathered for qualitative analysis, the conclusions were drawn as follows: First, Peer tutoring has positive effects on the mathematical inclination of peer tutors. Scores for mathematical inclination of peer tutors after the treatment increased and qualitative analysis showed positive change in their attitude toward mathematics. Second, Peer tutoring has positive effects on the mathematical communication ability of peer tutors. Scores in the performance assessment for mathematical communication ability of peer tutors after the treatment increased. Also qualitative analysis showed that peer tutors tried to develop various ways to solve a problem and explained them to their peer tutee sophisticatedly.

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The Development and Application of the Program for Advance of Number Senses (수감각 증진 프로그램의 개발 및 적용에 대한 효과 분석)

  • Seong, Seung-Hyun;Jung, Chan-Sik;Roh, Eun-Hwan
    • The Mathematical Education
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    • v.47 no.1
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    • pp.61-74
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    • 2008
  • The objective of this research is to verify the effect after development and application of a program for advance of number sense. This program presents an opportunity to explore suitable ways for the characteristics of problems by clarifying the meaning of number and operation through various thought processes, not focused on algorithm. To fulfill the objectives I developed the program for advance of number sense, and verify the effect on the improvement of number sense after applying to the developed program. As a result, it was confirm that this program was helpful to the improvement of the students' mathematical aptitude which resulted in a positive change in their attitude.

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EFFECT OF NEGATIVE FEEDBACK LOOP WITH NRF1 AND MIR-378 OF NONALCOHOLIC FATTY LIVER DISEASE: A MATHEMATICAL MODELING APPROACH

  • Lee, SiEun;Shin, Kiyeon
    • East Asian mathematical journal
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    • v.36 no.3
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    • pp.365-376
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    • 2020
  • Nonalcoholic fatty liver is a type of fatty liver in which fat accumulates in the liver without alcohol. In the accumulation, Nrf1 and miR-378 genes play very important role, so called negative feedback loop, in which the two genes suppress the other's production. In other words, Nrf1 activates fatty acid oxidation which promotes fat consumption in the liver, while miR-378 deactivates fatty acid oxidation. Thus, both genes regulate nonalcoholic fatty liver. In this paper, the negative feedback loop of Nrf1 and miR-378 are expressed by a system of ordinary differential equations. And, bifurcation simulation shows the change in the amount of each gene with significant parameter range changes. Bifurcation simulation has also used to determine the thresholds for transit between disease and steady state.