영문초록

Analysis of mathematical misconception for efficient teaching-and-leaing process

ABSTRACT

One of the obstacles in teaching-and-leaing process is the outbreak of misconception. Especially in mathematics, one misconception can hinder overall thinking. So, in the mathematical teaching-and-leaing process, correcting misconception is one of the most important assignments for both teachers and students. Although each misconception has its own feature, most approaches don’t reflect it. Knowing each feature can help understanding about students’ misconceptions, so it can be a great help to solve it by analyzing each misconception. The paper approaches the problem from a viewpoint of fundamental cause of formation. In this paper, the common misconceptions students easily get from the present mathematics curriculum are searched and the cause of formulating misconception is analyzed. At last, the misconceptions are classified according to the analysis result. By teaching students based on the features of misconceptions, students can realize what they are misunderstanding about mathematical definition and theorem and why they are having those misconceptions. Consequently, students can correct their own misconceptions more easily, by knowing contradictions between mathematical facts and their knowledge.

Key Words: Mathematical misconception, Misconception, Teaching process, Leaing process, Correcting misconception

The Research of Efficiency Method about Mathematics Exhibition

Using Operation Management

ABSTRACT

The mathematic exhibition is effective way to evoke interest in mathematics. But previous mathematics exhibitions’ booths were operated inefficiently. Several problems such as long waiting time, excess costs, misprediction of playing time occur. In this paper, we suggest the methodology of Operation Management to operate mathematics exhibition booth more efficiently. By using simulation and algorithm we analyzed when the waiting time occur, how long the waiting time is and how many people can experience this exhibition. Then we propose the solution based on these analysis results. First, we study of changing method about booth connection to improve waiting time. Second, we propose plans to use waiting time. Finally, based on analysis result we make methodology to make precise demand and playing time prediction. We research past mathematics exhibitions and propose appropriate solution and apply these solutions. Compared with the previous mathematics exhibition, we show that waiting time or playing time is decreased and the prediction becomes more precise.

Key Words : Mathematics Exhibition, Operation Management(OM), Waiting time, Efficiency

Research on conditional shortest path decision method through using Taxicab

ABSTRACT

Previous navigation system and papers assume that shortest paths have much to do with the only distance between departure point and destination. However, we analyze that various factors containing the distance, for example, accident spots and routes of emergency vehicles, actually affect shortest path decision mostly. Thus, we consider that system or method including the factors would increase users’ convenience. In this paper, we propose more efficient path decision method considering the certain routes, blocked points and required time. First, we make virtual map which reflects the factors that we think influence on them. Next, we find them directly by dividing into many cases and assuming corresponding situation. We employ Taxicab in this course. Additionally, we show that this method can be applied to real life by expanding these simple examples further. As a result, it tus out that this method can save time and cost more efficiently than previous method focused on distance.

Key Word : Taxicab, Voronoi Diagram, Shortest path, Urban design

Developing a Modified Investment Model and

Confirming Its Utility by Contrasting with the Existing Investment Methods

ABSTRACT

These days, many domestic investors are focusing on stock investment due to the needs of preparing their retirement and the prolonged low interest rate. Two methods, the Golden cross-Dead cross method and method based on psychology index, are typically employed by the people who try to grasp the flow of stock prices to gain profits. However, the Golden cross-Dead cross method is inappropriate when stock price either dramatically increases or decreases and the method based on psychology is affected too much by investors’ psychology. Therefore, in this paper, a modified investment model will be suggested to resolve the problems lying in the existing methods andconfirmtheutilityofthemodifiedmodelbycontrastingwithexistinginvestmentmethods.TheresultinanalyzingtheinterestrateofourmodelandthatoftheGoldencross-Deadcrossmethodshowsthatourmodifiedmodelisusefulenoughforinvestorstoemployinauthenticinvestmentsituation,contributingtorevitalizationofindividualinvestment.

Key Words : Modified investment model, Golden cross-Dead cross method, Utility, Revitalization, Individual investment, Stock investment

Method for Time-Efficiency in the School Building through relocation

of classrooms based on 3D CAD Model

ABSTRACT

Nowadays, retaining students’ time for studying is regarded more important than in the past because of increasing fierce competition they face at school and the heavy workload. However, schools’ administrators don’t make much effort to reduce student’s time wasted by weird location of classrooms used to make students’ leaing more efficient. Also, even though there is slight effort for time-efficiency, it is not quite efficient or not accurate, and cannot be applied to other buildings. Therefore, it would be useful to make general method for time-efficiency for students in the school building that can be applied to all buildings. In this paper, we propose innovative method for time-efficiency through relocation of classrooms. This method consists of 4 phases. First is to make 3D CAD model of the school. It helps to understand even minor things in the school and effectively analyze the flow of human traffic. Second is to consider students’ time as a concept of the cost and prepare the formula which can indicate the cost used to relocate the classrooms. Third is to use the formula to calculate all time taken by all sort of students: in present location of classrooms and in suggested models expected to have more time-efficiency than before. Fourth is to choose the best model which is able to give students the best time-efficiency with consideration for other detailed variables. Through this method, students can use saved time in leaing so that they would be satisfied with location of their classrooms and their school system.

Key Words: Time Efficiency, Relocation, Classrooms, 3D CAD Model, Traffic, Cost Formula