• Communications of Mathematical Education
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• v.21 no.2 s.30
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• pp.283-302
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• 2007

It is said that the university mathematics education in Korea faces critical situations due to the decreases of both qualities and quantities of students. In this paper we examine college students in order to know their basic ability for understanding about fundamental functions, such as polynomial, trigonometric, logarithm and exponential functions which have learned from highschool mathematics courses. The subject are 354 freshmen of 4 universities located in Daejeon and Chongchung area. The result of this study shows as follows. i ) More than half students are not able to draw graphs of given functions, except polynomial. ii ) More students do not fully understand about function properties such as domain, codomain, range, max and min value, cycle and parallel translation.

• School Mathematics
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• v.1 no.2
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• pp.617-636
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• 1999

This study was executed with the intention of guiding ‘open education’ toward a desirable school innovation. The basic two directions of curriculum reconstruction essential for implementing ‘open education’ are one toward intra-subject (within a subject) and inter-subject (among subjects). This study showed an example of intra-subject curriculum reconstruction with a problem solving area included in elementary mathematics curriculum. In the curriculum, diverse strategies to enhance ability to solve problems are included at each grade level. In every elementary math textbook, those strategies are suggested in two chapters called ‘diverse problem solving’, in which problems only dealing with several strategies are introduced. Through this method, students begin to learn problem solving strategies not as something related to mathematical knowledge or contents but only as a skill or method for solving problems. Therefore, problems of ‘diverse problem solving’ chapter should not be dealt with separatedly but while students are learning the mathematical contents connected to those problems. Namely, students must have a chance to solve those problems while learning the contents related to the problem content(subject). By this reasoning, in the name of curriculum reconstruction toward intra-subject, this study showed such case with two ‘diverse problem solving’ chapters of the 4th grade second semester's math textbook.

• The Mathematical Education
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• v.41 no.1
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• pp.59-78
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• 2002

In a globalization and information society in the 21st century, the emphasis of education is on producing people who can create intellectual value. To meet the purpose in mathematics education, students should be taught to be able to understand basic logics and principles and exchange mathematical information each other. Also they had better be guided to study on their own at home in an effective way. In reality, however, most of the home study does not go beyond confirming the same homework. It is very difficult for students to plan systematic preparation and review of their lessons and study on their own. Moreover there seems to be no integration between the lessons students receive at school and in private classes. Therefore the need for more systematic home study in relation to school lessons is high to maximize the teaming effect. Studying through Web has little restriction in terms of time and space. Students can collect useful information inexpensively and share their learning assignment with each other. But mathematics education through Web has not yet been developed in such a way as to see a positive result from it. This research intends to develop a web site where students can study mathematics systematically in a self-guided way. The research methods applied included survey, student discussion and online home study. The questionnaires were designed to figure out students'and parents'changes in their concept of mathematics home study. The research also tried to look for ways to cut down the burden of expensive private lessons in mathematics. The student discussions were made up of problem-making and problem-solving. The discussion procedure was analysed so as to check if students used their creativity while they were working. As stated above, the research aims to develop a web site to support effective home study, enhance students' mathematical ability and reduce the burden of private lessons.

• The Mathematical Education
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• v.50 no.2
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• pp.213-231
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• 2011

The purpose of this study is to analyze the 6th graders' understanding of the concepts of variable on various aspects of school algebra. For this purpose, the test of concepts of variable targeting a sixth-grade class was conducted and then two students were selected for in-depth interview. The level of mathematics achievement of the two students was not significantly different but there were differences between them in terms of understanding about the concepts of variable. The results obtained in this study are as follows: First, the students had little basic understanding of the variables and they had many cognitive difficulties with respect to the variables. Second, the students were familiar with only the symbol '${\Box}$' not the other letters nor symbols. Third, students comprehended the variable as generalizers imperfectly. Fourth, the students' skill of operations between letters was below expectations and there was the student who omitted the mathematical sign in letter expressions including the mathematical sign such as x+3. Fifth, the students lacked the ability to reason the patterns inductively and symbolize them using variables. Sixth, in connection with the variables in functional relationships, the students were more familiar with the potential and discrete variation than practical and continuous variation. On the basis of the results, this study gives several implications related to the early algebra education, especially the teaching methods of variables.

• Journal of Power System Engineering
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• v.7 no.1
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• pp.60-67
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• 2003

This paper introduces basic study how to restrain the vibration of a four story shear structure. We have modeled a four story shear structure mathematically and have identified each parameters by experiment. We have gotten a reduced nominal model through modal analyzing method and the $H_{\infty}$ control theory is used in the control system design to get the robust controller. It's shown that the desirable performances is confirmed through the mathematical simulation. And a designed controller applying the $H_{\infty}$ control theory shows the good performance for the impulse disturbance through the simulation results. That is, the robustness of this control system is confirmed for the ability of disturbance rejection and modeling error.

• 제어로봇시스템학회:학술대회논문집
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• 2001.10a
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• pp.121.6-121
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• 2001

This paper introduce basic study how to restrain the vibration of multi-layer structure. We have modeled mathematically for four-layer-structure and have gotten a reduced nominal model through model analyzing method. And the H$\infty$ control theory was used in this control system to get robust controller. Its shown that the desirable performance is confirmed through the mathematical simulation and the experiments. That is the robustness of this control system which use H$\infty$ control theory is confirmed for ability of disturbance rejection and modeling error.

• Journal of the Korean Society for Marine Environment & Energy
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• v.4 no.1
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• pp.70-74
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• 2001

In this paper, we studied the maneuvering performances of a ship with flapped rudder. PMM tests were carried out for a ship model with horn type rudder or flapped rudder. The Abkowitz's model was used as a basic mathematical model to simulate the maneuvering motions. The maneuvering motions of a ship with flapped rudder were compared with those of a ship with horn-type rudder. As a result, it was found that the turning ability of a ship with flapped rudder was remarkably improved.

• Journal of Educational Research in Mathematics
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• v.12 no.1
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• pp.49-70
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• 2002

There have recently been increasing exchanges between South and North Korea in many areas of society, involving politics, economics, culture, education. In response to these developments, research activities are more strongly demanded in each of these areas to help prepare for the final unification of the two parts of the nation. In the area of mathematics education, scholars have started to conduct comparative studies of mathematics education in South and North Korea. As a response to the growing demand of the time, in this thesis we compared the secondary mathematics education in South Korea with that in North Korea. To begin with, we examined the background of education, in North Korea, particularly predominant ideological, epistemological and teaching theoretical aspects of education in North Korea. Thereafter, we compared the mathematics curriculum of South Korea with that of North Korea. On the basis of these examinations, we compared the secondary school mathematics textbooks of South and North Korea, and we attempted to suggest a guideline for researches preparing for the unification of the mathematics curriculum of South and North Korea. As a communist society, North Korea awards the socialist ideology the supreme rank and treats all school subjects as instrumental tools that are subordinated to the dominant communist ideology. On the other hand, under the socialist ideology North Korea also emphasizes the achievement of the objective of socialist economic development by expanding the production of material wealth. As such, mathematics in North Korea is seen as a tool subject for training skilled technical hands and fostering science and technology, hence promoting the socialist material production and economic development. Hence, the mathematics education of North Korea adopts a so-called "awakening teaching method," and emphasizes the approaches that combine intuition with logical explanation using materials related with the ideology or actual life. These basic viewpoints of North Korea on mathematics education are different from those of South Korea, which emphasize the problem-solving ability and acquisition of academic mathematical knowledge, and which focus on organizing as well as discovering knowledge of learners' own accord. In comparison of the secondary school mathematics textbooks used in South and North Korea, we looked through external forms, contents, quantity of each area of school mathematics, viewpoints of teaching, and term. We have identified similarities in algebra area and differences in geometry area especially in teaching sequence and approaching method. Many differences are also found in mathematical terms. Especially, it is found that North Korea uses mathematical terms in Hangul more actively than South Korea. We examined the specific topics that are treated in both South and North Korea, "outer-center & inner-center of triangle" and "mathematical induction", and identified such differences more concretely. Through this comparison, it was found that the concrete heterogeneity in the textbooks largely derive from the differences in the basic ideological viewpoints between South and North Korea. On the basis of the above findings, we attempted to make some suggestions for the researches preparing for the unification in the area of secondary mathematics education.

• Journal of the Korean School Mathematics Society
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• v.11 no.1
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• pp.31-54
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• 2008

The discovery method is known to be the most effective in improving students' mathematical thinking. Recently, the long-term slow thinking(LST) is suggested as a possible method to implement the discovery method into the real classroom. In this concept, we examined whether students can solve such a problem, as appears to be beyond their ability, by themselves(LST) or not. 10 middle school students of the ninth grade were selected for the study, who had no previous experience on the infinite concept of calculus of the high school course. They had tried to solve a problem about the calculus by their LST for three days. Two of students solved the problem by themselves and seven of students solved it with help of hints. This result shows that if students are given the opportunity of LST for rather difficult mathematical problem with appropriate guidance of a teacher, they might solve it by themselves. That is, LST could be a possible method for implementation of the discovery method.

• The Mathematical Education
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• v.61 no.3
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• pp.477-497
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• 2022

The rapidly changing world calls for reform in mathematics education from lifelong learning perspectives. This study examines adults' perception of mathematics by reflecting on their experiences of mathematics in and out of school in order to understand what the current needs of adults are. With the two questions: "what experiences do participants have during their learning of mathematics in schools?" and "how do they perceive mathematics in their current life?", we analyzed the semi-structured interviews with 10 adults who have different sociocultural backgrounds using narrative inquiry methodology. As a result, participants tended to accept school mathematics as simply a technique for solving computational problems, and when they had not known the usefulness of mathematical knowledge, they experienced frustration with mathematics in the process of learning mathematics. After formal education, participants recognized mathematics as the basic computation skill inherent in everyday life, the furniture of their mind, and the ability to efficiently express, think, and judge various situations and solve problems. Results show that adults internalized school education to clearly understand the role of mathematics in their lives, and they were using mathematics efficiently in their lives. Accordingly, there was a need to see school education and adult education on a continuum, and the need to conceptualize the mathematical abilities required for adults as mathematical literacy.