• Journal of the Korea Institute of Information and Communication Engineering
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• v.4 no.5
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• pp.919-930
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• 2000

This paper treats a development of visual interactive modeling(VIM) system for ship scheduling problem in integer formulation. The ship scheduling problem can be described as "A problem which assigns ships and cargos to achieve maximum revenue from transportation" in brief. Since late 1970s there has been rapid growth in development and use of VIM as MS10R technology due to the development of computer technology and now VIM has become a important discipline in MS/OR and MIS society. Visual Interactive Modeling is a process that decision maker takes part in modeling life cycle -data collection, formulation, derivation of optimal solution and representation of solution - and interacts with a modeling system to achieve a user-solution appropriate for his/her ultimate goal. This paper suggests the methodology how to collect data, build and modify model, and represent solution using computer graphics as a major driving tool and demonstrates effective performance of a prototype system.pe system.

• Communications of Mathematical Education
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• v.22 no.4
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• pp.533-543
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• 2008

Recently, many advanced countries have used original ICT tools in their educational courses. But Korea didn't have any effective origin ICT tools in our mathematical education, compared with other countries which have developed various tools, for examples, Web-Mathematica and HP Calculator. Although we have the advanced IT environment, the educational environments in mathematics using ICT seems to be not promising. In this paper, we suggest a new mathematics education tools in ICT and the internet environments in Korea, and a teaching and studyingmodel for the teachers, students and classrooms. It is based on the Sage-Math and RPG. Sage-Math which is the software based on the web and RPG(Random Problem Generator) will give a good answer for the future of Korean mathematics ICT education.

• The Journal of the Korea Contents Association
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• v.18 no.11
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• pp.611-622
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• 2018

In this study, I was to investigate the trends in research on walking and positioning in Korea and to compare the results of researches on the Visually Impaired and the Non-disabled. I selected 113 papers in order to know the current status of the study for the visually impaired and to suggest future research directions. This study analyzed the general features (publication year, academic journals, number of authors, keywords, research methods, research types, implementation methods, research support, references) and research themes and contents of domestic research on walking and positioning. As a result, there was no an upward trend in number of publications by the Visually Impaired compared to the Non-disabled. In addition, in the case of the non-disabled, Research topics, types of research, implementation include various attempts of location-related technologies, and system development, improvement, stabilization, and accuracy, whereas in the case of the visually impaired, there were focused on development of systems, portable or attachable devices that reflect the characteristics of the visually impaired. There were not many studies on system improvement. Research support also showed that the non-disabled received various research support. Therefore, I suggested the need to continuously develop and improve the research, to diversify research topics and research types, to expand the research scope, to improvement feasibility for the visually impaired.

• School Mathematics
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• v.17 no.3
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• pp.407-421
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• 2015

Linear system is a basic subject matter of school mathematics courses. Even though elimination is a useful method to solve linear systems, its fundamental principles were not discussed pedagogically. The purpose of this study is to help the development of mathematical content knowledge on linear systems conceptions. To do this, various representations and translations among them were considered, and in particular, the basic principles for elimination method are analyzed geometrically. Rectangular representation is used to solve word problem treated in numbers of things in elementary mathematics and it is useful as a pre-stage to introduce elimination. Slopes and intercepts of lines associated linear equations are used to obtain the Cramer's formula and this solving method was showing the connection between algebraic and geometric procedures. Strategy deleting variables of linear systems by elementary operations is explored and associated with the movements of lines in the family of lines passing through a fixed point. The development of mathematical content knowledge is expected to enhance pedagogical content knowledges.

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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• v.18 no.3
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• pp.295-303
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• 2000

The purpose of this research is to enhance efficiency and tide measurement of the bathymetry survey based on the DGPS techniques which is becoming popular today due to a lot of benefits using the GPS. And according to the result of this research, choice and interpolation were possible with the most optimum method according to the various mathematical regressive equations as linear, parabolic, polynomic, reciprocal, hyperbolic, logarithmic and Gaussian functions. And the height of ground surface is easily calculated by 2D+1D transformation of coordinate of WGS84 in Cm-level based on the real time, even though the GPS time and tide were used to be synchronized through step-wised processing before. And because of the synchronization of time, the real time DGPS can cope with the loss of local current and changes of the tide.

• School Mathematics
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• v.15 no.3
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• pp.651-665
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• 2013

The aim of this study is to find how unformal proof activities contribute to solving problems successfully and to confirm the role of teachers in the progress. For this, we developed a task that can help students communicate actively with the concept of unformal proof activities and conducted a case lesson with 6 graders in Elementary school. The study shows that unformal proof activities contribute to constructing representations which are needed to solve math problems, setting up plans for problem-solving and finding right answers accordingly as well as verifying the appropriation of the answers. However, to get more out of it, teachers need to develop a variety of tasks that can stimulate students and also help them talk as actively as they can manage to find right answers. Furthermore, encouraging their guessing and deepening their thought with appropriate remarks and utterances are also very important part of what teachers need to have in order to get more positive effect from these activities.

• Journal of the Korean School Mathematics Society
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• v.20 no.4
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• pp.445-464
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• 2017

This study targeting 10 high school 3rd grade students who have studied space figures in natural sciences track analyzes the process of analogical discovery from the construction of inscribed and circumscribed circles of a triangle to that of inscribed and circumscribed spheres of a tetrahedron through the analytical method using Geogebra. The subjects are divided into two groups of five, the experimental group consisting of those who have experienced analytical method and the comparative group consisting of those who haven't. This research analyzing the process of constructing inscribed and circumscribed spheres of a tetrahedron. Although students of both groups all have an accurate preliminary knowledge of inscribed and circumscribed circles of a triangle, they have difficulty in constructing inscribed and circumscribed spheres of a tetrahedron. However, the students of experimental group who have studied the constructing process of inscribed and circumscribed circles of a triangle in reverse using analytical method and Geogebra can perform analogical discovery finding out the way to construct inscribed and circumscribed spheres of a tetrahedron using analogy by themselves. They can control and explore space figures by visualization. Also, they can immediately examine and provide feedback on the analogizing process of their own. In addition, the process affects the attitude of students toward mathematics positively as well as gives validity to the result of analogy.

• Journal of The Korean Association For Science Education
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• v.38 no.6
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• pp.765-780
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• 2018

The purpose of this study is to synthesize the theoretical perspectives, research methods, and research results of teachers' professional vision by reviewing and analyzing previous research papers and to suggest implications for science teacher education and research. Three databases were used to search peer reviewed journal articles published between 1997-2017, which include 'teachers' and 'professional vision' explicitly in abstracts and empirical studies only. 21 articles in total were analyzed and review results are as follows. First, researchers regarded professional vision as a new concept of teacher professionalism. Previous research viewed professional vision as integrated structure of teachers' knowledge or ability activated at specific moment. Second, the analytical framework of professional vision included two aspects; 'selective attention' and 'reasoning'. Several aspects of lessons or the desirable teaching and learning factors are suggested as the subcategories of selective attention. Hierarchical levels or independent reasoning ability factors are suggested as the subcategories of reasoning process. Third, research on teachers' professional vision focused more on middle school teachers than elementary teachers and on various subject areas. Most studies used video clips and more cases of using videos of non-participants were found. In case of measurement of professional vision, most quantitative scoring methods were whether the responses of experts and teachers on video clips were consistent. Last, most studies examined or assessed teachers' professional vision. It is reported that in-service teachers' professional vision was evaluated higher than novice teachers' and using video clips were effective to examine and improve teachers' professional vision.

• School Mathematics
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• v.11 no.1
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• pp.131-145
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• 2009

This research was designed to investigate the possibility to teach function concept and graph representation of functions in explicit manner toward at elementary level. Eight class-hours instruction was given to four Grade 5(age 11) students, and dynamic geometry software GSP was partially used in the class. Results indicate that the students could conceptualize the function relation, interpret linear function graphs, recognize the meaning of their slopes, and discuss the relationships among linear graphs and real life situation. Results also indicate that GSP helped students to recognize the relation between dots and the linear graph clearly and that GSP-line graph did decisive role for children to understand the meaning of graph representation of function.

• Journal of the Korean School Mathematics Society
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• v.8 no.2
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• pp.203-222
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• 2005

The purpose of this study is to investigate students' understanding of functions based on concept image and concept definition suggested by Vinner, For the study a graphing calculator was provided as a tool for students to use for their exploration. Three students participated in the study using the qualitative research method to identify their processes of understanding functions. The student with previous experiences of the functions had various concept images about the functions and did not have many opportunities to modify their images because the student did not want to depend on the calculator. However, the student who did not have many chances to study about the functions before used the calculator effectively for developing the concept definition on the functions. The calculator played an important role in connecting different representations and finding relationships between these representations supported by dynamic exploration.