• Education of Primary School Mathematics
• /
• v.16 no.2
• /
• pp.183-192
• /
• 2013

This study points out that the angle sum of a triangle and the property of parallel lines are taught without showing any relations between them on elementary school mathematics textbooks. This study looks into the structure of Euclid Elements so that it discusses about the contents of current Korean textbooks. The property of the alternate angles and the corresponding angles of parallel lines are inherent in many subjects in Elementary school mathematics, and have meaning that must be thought with the angle sum of triangles in the structure of Euclid Elements. With this consideration, this study makes a conclusion that these two subjects should be taught by presenting relations between them.

• Industrial Engineering and Management Systems
• /
• v.9 no.4
• /
• pp.294-302
• /
• 2010

There is a trend toward the world's manufacturing sites moving to East Asia. After manufacture, these products are transported to the advanced nations for their consumption demands. Among such advanced nations, the U.S.A. has the largest demand, and then Japan and European countries follow. It should be noted that the infrastructures of the Asian districts used for the production sites are rather limited, and the volume of products transported from these districts of Asia to the U.S.A is becoming tremendously large. This situation is causing very serious traffic problems. New products are required to be transported swiftly by air. Once the consumption and market demands are stable however, the products should be sent rather slowly, but in larger amounts. However, the airports of China are quite restricted in capacity, while the transportation volume is becoming large. As a result, transportation cost and the time required for transportation are increasing. Now, a third method is appearing. This is the so-called Sea and Air transportation. The cost and time in transit of this mode take mean positions between Air and Ocean services. At present there exists no well-thought-out strategy for how to allocate these three methods of transportation. This paper is an attempt to theoretically describe this mechanism and to discover the optimal way to allocate the three modes. For this purpose, several mathematical properties of value and cost of the products are defined, and on this basis a simulation of the transportation is established.

• Journal of the Society of Naval Architects of Korea
• /
• v.31 no.4
• /
• pp.82-98
• /
• 1994

A mathematical model for the hydrodynamic forces acting on the ship manoeuvring in waves is formulated and a numerical method for the problem is developed. The motion of a ship, which manoeuvres in waves, may be thought to have two components; one is a high frequency component due to encounter waves, and the other is a low frequency component due to manoeuvring motion. So the method of two time scale expansion is used to divide linear boundary value problem. For the effects of waves on the manoeuvring motion of a ship, only the second order drift forces are considered. The integral equation for the velocity potential is solved by 3 dimensional panel method and hydrodynamic forces are calculated by direct integral method.

• Nuclear Engineering and Technology
• /
• v.37 no.4
• /
• pp.385-390
• /
• 2005

The effect of the Wolsong Tritium Removal Facility on the change of tritium concentration in the soil water was assessed by introducing a dynamic compartment model. For the mathematical modeling, the tritium in the environment was thought to come from two different sources. Three global tritium cycling models were compared with the natural background concentration. The dynamic compartment model was used to model the behavior of the tritium from the nuclear power plants at the Wolsong site. The source term for the dynamic compartment model was calculated with the dry and wet deposition rates. The area around the Wolsong nuclear power plants was represented by the compartments. The mechanisms considered in deriving the transfer coefficients between the compartments were evaporation, runoff, infiltration, hydrodynamic dispersion, and groundwater flow. We predicted what the change of the tritium concentration around the Wolsong nuclear power plants would be after future operation of the tritium removal facility to show the applicability of the model. The results showed that the operation of the tritium removal facility would reduce the tritium concentration in topsoil water quickly.

• Journal of the Architectural Institute of Korea Planning & Design
• /
• v.34 no.4
• /
• pp.95-102
• /
• 2018

In this study, existential thoughts in Frank Lloyd Wright's notion of nature were investigated. Wright, a modern architect, presented the idea of creating organic architecture in harmony with nature. His naturalistic romanticism is considered to be the original inspiration for his concept of organic architecture. However, his understanding of architecture in harmony with nature stems from existential ideas in his notion of nature, including humanity. The proposed study analyzes his existential beliefs through his speeches and writings in four categories-love of nature, thoughts of abstract and concrete, nature as being intrinsic and "becoming," and thoughts on science and art. Our analyses reveal that, on the one hand, Wright was inspired by thoughts of naturalistic romanticism born from his disillusionment with city life and an urge to seek life in nature, while, on the other, he also believed that real nature is intrinsic to humans and manifests itself in the very core of their being. He sought to unite humanity, as the interior of nature, with its physical environment, as the exterior of nature. His notion of nature is a "becoming" one that changes with time and space, and varies based on individual humans. In line with these thoughts, Wright sought to create forms not only with respect to mathematical dimensions, but also in consideration of human significance. He considered art and architecture to be born out of an integral thought as a process of humanization. To him, nature is interpreted by humans.

• The Mathematical Education
• /
• v.59 no.2
• /
• pp.131-146
• /
• 2020

Regarding the formula for measuring the area of a circle, the Archimedes' constant is generally written in front of the square of radius length, but there were a few cases where the Archimedes' constant was written after that in Germany and France. In this study, two things are studied: First, how many students are writing the Archimedes' constant after that? Second, what do the students think about the written order of characters in the formula for measuring the area of a circle? In the online survey of 201 people aged 14 to 21 in Korea, there was a perception of more than 86% that both are possible or only after that are possible. In this study, it is suggested that there is a difference between the general written order of characters and the natural perception of students formed through school education. In addition, students aged 14 to 16 thought more that the Archimedes' constant should be written after that, and after that age, there was a greater perception that both are possible without confusion of meaning. It can be seen that the change in students' perception has emerged through school education on natural mathematical written order of characters after middle school courses. From this point of view, the most common perception can be that if there is no confusion in meaning, then both expressions are possible.

• Archives of design research
• /
• v.11
• /
• pp.22-29
• /
• 1995

I have to find standpoint of sight moulding of Chi I Sung Hwa(seven stars picture) analysis of graphic systems of a symbol sight native to our nation. And I will comprehend emotion of folkways by simple and graphic lines and colors in mathematical Grid of which ancestor had expressed in gauge moulding consciousness. This papers aim is to make a contribution to lead by on part of communication design. About structural analysis of pictorial graphic side. I) Mathematical thought of the Orient and space constitution are first basically the Orient expressed number notion of mathematics of unlimitedness and notion of zero so called space and empty second can analigize a diagonal expansion method by development of symmetry notion to basic the dual principle of the negative and positive by degrees development expressed space division method by direction notion. 2) About the proportion analysis it based the golden section globularity and in modern layout it takes vision center of position, after appointing the brow of sacred image of Chil Sung Hwa as center point of proportion and applied to the point proportion and so analigized the posibility of established. Rule in union of each elements and rule of forms about picture image. 3) Mathematical structure analysis to search a unified principle at the balanced arrangement and rule of forms it analigized the standard the rule of forms. it analigized the standard the rule of forms to body module of basic movement of protagonist and follower above basic forms of grid that is the basis of design system.

• Journal of the Korean Society of Earth Science Education
• /
• v.15 no.2
• /
• pp.158-170
• /
• 2022

The purpose of this study is to understand the characteristics of Aristotle's view of nature that is, the static view of the universe, and find implications for education. Plato sought to interpret the natural world using a rational approach rather than an incomplete observation, in terms of from the perspective of geometry and mathematical regularity, as the best way to understand the world. On the other hand, Aristotle believed that we could understand the world by observing what we see. This world is a static worldview full of the purpose of the individual with a sense of purposive legitimacy. In addition, the natural motion of earthly objects and celestial bodies, which are natural movements towards the world of order, are the original actions. Aristotle thought that, given the opportunity, all natural things would carry out some movement, that is, their natural movement. Above all, the world that Plato and Aristotle built is a static universe. It is possible to fully grasp the world by approaching the objective nature that exists independently of human being with human reason and observation. After all, for Aristotle, like Plato, their belief that the natural world was subject to regular and orderly laws of nature, despite the complexity of what seemed to be an embarrassingly continual change, became the basis of Western thought. Since the universe, the metaphysical perspective of ancient Greece and modern philosophy, relies on the development of a dichotomy of understanding (cutting branches) into what has already been completed or planned, ideal and inevitable, so it is the basis of traditional teaching-learning that does not value learner's opinions.

• Journal of Educational Research in Mathematics
• /
• v.18 no.3
• /
• pp.335-352
• /
• 2008

The purpose of this research was to investigate the descriptive evaluation method that focuses on the problem solving process of the student. The goal was to evaluate the students' understanding of the subject rather than the students' ability to find the final answer. The descriptive evaluation is being suggested as a way of examining the thought process of the student by performing a structured analysis of the problem solving process. Today, there are not enough descriptive evaluation resources available for teachers to effectively carry out this alternative assessment method in the elementary school mathematics curriculum. This research is a case study on the development of resources for descriptive evaluation in grade 4 mathematics. We designed the development process for descriptive evaluation and its rubric for all 8 units of the 4-Na level of mathematics in the elementary school curriculum. Three descriptive problems were developed for each of the 8 units for a total of 24 problems. The rubric consisted of three areas of assessment, 1) understanding of the problem, 2) problem solving, and 3) mathematical communication. The problems were first pilot tested in two 4th grade classes. Modified problems were then tested in a different 4th grade classroom. The study showed that the three defined areas of evaluation framework (problem understanding, problem solving and mathematical communication) were measurable and analyzable using the developed grading rubric. We then conclude that he descriptive evaluation could be used as an effective tool for improving teacher performance in elementary school mathematics.

• The Mathematical Education
• /
• v.58 no.4
• /
• pp.567-588
• /
• 2019

This study is a follow-up to Lee(2019). Lee(2019) investigated the method of collecting information on the curriculum of elementary and middle school math teachers, when differences were observed between elementary and middle school math teachers in the method of collecting information on the curriculum. Following Lee(2019)'s study, this study looked at the perceptions and experiences of high school math teachers in their curriculum.At the time when the curriculum was changed from time to time, the authority for restructuring curriculum was strengthened. In addition, the role of teachers as 'curriculum restructuring practitioners' became important. However, previous studies have pointed out the structural problem that teachers empathize with the necessity of restructuring the curriculum and have a negative perception of the willingness to practice the curriculum. Therefore, the researcher examined high school teachers who are sensitive to the characteristics and evaluation of the highly hierarchical mathematics subjects. A total of six interviews were conducted with ten high school mathematics teachers in three groups of ten years of teaching experience. Through this, it was possible to observe how teachers as curriculum reconstruction practitioners had thought about curriculum restructuring, and I could observe what difficulties teachers' experienced. This suggests that teachers have two ideas for restructuring the curriculum: 'realistic curriculum reconstruction' and 'ideal curriculum reconstruction'. In addition, the teachers found that there are 'sides of incongruity in the school system' and 'difficulties in the management of teachers'.