• The Mathematical Education
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• v.41 no.2
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• pp.189-202
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• 2002

Problem-centered learning reflects learning strategy based on constructivism. In this learning, students should find the solution in a small group discussion, and share their solutions with classmates in whole class discussion. So students participate in mathematics instruction actively and interact with other students about the strategies. We expect students would change their attitudes on mathematics and mathematical learning in these processes. In this study, we analyzed students' attitudes on mathematics and mathematical learning when they participated the problem-centered learning program. We found the change of students' attitudes to mathematics via problem-centered learning.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.3
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• pp.485-503
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• 2017

'Saembon' was elementary mathematics textbook in the Period of Syllabus in Korea. First I classified Saembons in five groups. And then I regrouped them into two kinds. One kinds were published under U.S. Army Military Government, and other kinds were made under Republic of Koera. Two kinds of Saembon were very different in several aspects. I showed how they were different through real examples. Finally I tried to explain that Saembons under Republic of Koera were better than Saembons under U.S. Army Military Government.

• Proceedings of the ESK Conference
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• 1992.10a
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• pp.3-8
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• 1992

컴퓨터 스크린상에 어떤 물체의 형상을 나타낼 때 각 형태에 따라 그 표현 기법은 크게 두 분야로 나뉘게 되는데 대부분의 기계부품들처럼 원통이나 평면 등과 같이 기하학적 기본형태들로 이루어진 것과 사람이나 동물처럼 형상자체가 단순한 수학적공식으로 표현이 불가능한 형태(Free Form Geometry)로 분류된다. 어떤 대상물체가 선정되면 그것의 기하학적 형상을 먼저 컴퓨터 스크린상에 정확한 형상데이터로 표현된 다음 가시화를 위한 것이든 시뮬레이션 목적이든 그 형상 데이터가 이용된다. 이처럼 컴퓨터에 의한 모의 실험에서 대상물체를 모델링하는 단계는 반드시 필요하다. 최근 컴퓨터에 의한 각종 모델의 시뮬레이션을 시도할 때 Modeling 단계에서 수학적 공식으로 표현이 가능한 모델(Mathemeatical model)보다 임의 형태를 가진 모델(Physical model)표현에 많은 애로를 겪고 있는 실정이다. 따라서, 본 연구에서는 인간이나 항공기처럼 복잡한 형태를 가진 물체형상을 컴퓨터 스크린상에 표현할 때 비교적 실물에 가까운 형상데이터를 얻는 기법들에 대해 기술하고 그 결과를 소개한다. 특히 인간의 정적 또는 동적인 자세변화에 따른 각 신체 부위의 정확한 계량분석을 시도할 때 본 기법들의 응용이 가능하다.

• Progress in Medical Physics
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• v.23 no.1
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• pp.42-47
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• 2012

In this paper, Acousto-Optical tomography is modeled by a linear integral equation and an inverse problem involving a diffusion equation in n-spatial dimensions. We make two-step mathematical model. First, we solve a linear integral equation. Assuming the optical energy fluence rate has been recovered from the previous equation, the absorption coefficient ${\mu}$ is then reconstructed by solving an inverse problem. Numerical experiments are presented for the case n=2. The traditional gradient descent method is used for the numerical simulations. The result of the gradient descent method produces the blurring effect. To get rid of the blurring effect, we suggest the total variation regularization for the minimization problem.

• Communications of Mathematical Education
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• v.32 no.1
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• pp.1-22
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• 2018

The purpose of the study was to examine the effects of mentoring experience in STEAM classes on pre-service mathematics teachers' teaching competency for STEAM education. The study was conducted with 23 pre-service mathematics teachers who participated in the mentoring program affiliated with free learning semester system during one semester. To investigate the changes of pre-service mathematics teachers' teaching competencies for STEAM education and the effects of the mentoring program, pre, post questionnaires, lesson journals, and whole group discussion data were collected. According to the results, pre-service mathematics teachers' competencies for 'knowledge of STEAM education', 'subject matter knowledge', 'teaching and learning methods', and 'learning environments and circumstances' categories were improved significantly after the mentoring program. Especially, some results indicated that pre-service mathematics teachers' teaching experiences in real STEAM classrooms were very helpful for the development of understandings of STEAM education and construction of practical knowledge.

• Communications of Mathematical Education
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• v.23 no.4
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• pp.1043-1058
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• 2009

This study concerns with the effects of group projects performed by the students in college math classes. The study result shows that 61% of the students get more self-confidence and interest in mathematics through working projects. In addition, the result reveals that one of the essential factors for successful college mathematics class is to provide a strong motivation for learning to students. For effective teaching through group projects, this paper suggests that 1) the number of students in the class be 20 or less, 2) the projects group be consisted of two members, 3) the instructor should select proper problems to students' level from extra-textbooks, 4) the problems should be interesting, positive and challenging, 5) each group should take only one problem, 6) the groups be provided with enough references and materials, 7) each student in the group be cared to feel importance and necessity of mathematics and cooperative work, 8) the students should work with math joyfully, 9) the instructor remind the students that we live with mathematics in real life, 10) 2-month be a necessary and appropriate term in working projects.

• Communications of Mathematical Education
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• v.23 no.2
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• pp.255-277
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• 2009

Currently Science and technology are changing so fast these days, educating competent and creative person, majoring in natural sciences, including mathematics., becoming more and more important. But, in Korea, there are many problems in high school and university education program, so performance level in mathematics is decreasing and avoiding mathematics and natural sciences is increasing. Naturally the numbers of science oritented students in high school are decreasing and ability in mathematics, in particular calculus, is decreasing. Hence, the above situation leads to a reduction of scientific manpower. In this point of a view, we analyse the situation of the downturn of the ability of the science, especially calculus, among engineering majored freshmen. We also study many data reported by Ministry of Education and Science, Korea and scholar societies. From this study we conclude that the essential rerasons for the above situations are curriculum and the system of the entrance examination of the university, and we give suggestions for solutions of such a situation.

• Education of Primary School Mathematics
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• v.27 no.3
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• pp.199-226
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• 2024

In response to the era of transformation necessitating the introduction of Artificial Intelligence (AI) and digital technologies, educational innovation is undertaken with the implementation of AI digital textbooks in Mathematics, English, and Information subjects by 2025 in Korea. Within this context, this study analyzed the perceptions and needs of elementary school teachers regarding mathematics AI digital textbook. Based on a survey conducted in November 2023, involving 132 elementary school teachers across the country, the analysis revealed that the majority of elementary school teachers had a low perception of the introduction and need for mathematics AI digital textbooks. However, some recognized the potential for personalized learning and effective teaching support. Furthermore, among the core technologies of the AI digital textbook, teachers highly valued the necessity of learning diagnostics and teacher reconfiguration functions and had the most positive perception of their usefulness in math lessons, while their perception of interactivity was relatively low. These findings suggest the need for changing teachers' perceptions through professional development and information provision to ensure the successful adoption and use of mathematics AI digital textbooks. Specifically, providing concrete and practical ways to use the AI digital textbook, exploring alternatives to digital overload, and continuing development and research on core technologies.

• Education of Primary School Mathematics
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• v.24 no.4
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• pp.217-231
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• 2021

The purpose of this study was to investigate the effects of flipped learning through EBSmath on Students' 'rate and ratio' learning. By increasing demands for change in education, an innovative teaching and learning paradigm, 'Flipped Learning', has been presented and drawing attentions. In South Korea, Flipped Learning is also highly recognized for its effectiveness by many scholars and various media. However, this innovative learning model has limitations in application and expansion due to the excessive burden of class preparation of teachers. As remote learning becomes more active, it would be possible to overcome the limitations of Filliped learning by using the platform provided by the Korea Educational Broadcasting System (EBS). EBSmath is an online learning module that is designed to assist students' self-directed learning. Thus, EBSmath would reduce teachers' burden to prepare mathematics classes for the application of Flipped Learning; and led to students' better understanding of mathematical concepts and problem solving. In this study, the effect of Flipped Learning through EBSmath on learning 'rate and ratio' was investigated. In order to scrutinize the effects of flipped learning, students' achievement and mathematical disposition were examined and analyzed. Students' achievement, specifically, was divided into two subcategories: concept understanding and problem solving. As a result, Flipped learning through EBSmath had a positive effect on students' 'rate and ratio' problem solving. In addition, a statistically significant change was identified in the 'willingness', which is subdomain of students' mathematical disposition.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.13 no.6
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• pp.2421-2427
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• 2012

This paper is discussed the design on non-linear adaptive attitude controller for quadrotor UAV. Quadrotor UAV featured to have four rotor, required the special controller to compensate for the model parameter uncertainties as the unstable nonlinear system. In this research, we designed the adaptive controller to compensate for the payload changes even though it is changed with industrial applications. Especially, based on the mathematical model of UAV, non-linear adaptive controller is suggested and the stability is verified using the Lyapunov function and finally proved its performance and effectiveness of update laws with various payload by simulation.