• Education of Primary School Mathematics
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• v.25 no.2
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• pp.179-195
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• 2022

Mathematical communication competency, one of the six mathematical competencies emphasized in the latest mathematics curriculum, plays an important role both as a means and as a goal for students to learn mathematics. Therefore, it is meaningful to find instructional methods to improve students' mathematical communication competency and analyze their communication competency in detail. Given this background, this study analyzed 64 sixth graders' mathematical communication competency after they participated in the lessons of fraction division emphasizing mathematical communication. A written assessment for this study was developed with a focus on the four sub-elements of mathematical communication (i.e., understanding mathematical representations, developing and transforming mathematical representations, representing one's ideas, and understanding others' ideas). The results of this study showed that students could understand and represent the principle of fraction division in various mathematical representations. The students were more proficient in representing their ideas with mathematical expressions and solving them than doing with visual models. They could use appropriate mathematical terms and symbols in representing their ideas and understanding others' ideas. This paper closes with some implications on how to foster students' mathematical communication competency while teaching elementary mathematics.

• Journal of the Korean Applied Science and Technology
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• v.40 no.2
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• pp.355-362
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• 2023

Characters in visual media have different symbolic meanings depending on their orientations or roles. 『山海經』 is a fantasy novel written around the 3rd or 4th century BC., and the characters in the classical Chinese novel have various meanings and symbols, such as disasters, wealth, diseases, etc., according to their types. The symbolism of animals that the Chinese think of, the symbolism of characters in fantasy novels, and the morphological analysis are necessary elements in the development of characters and the film industry in China. This study analyzed the images of characters as follows, focusing on classical Chinese fantasy novels 『山海经』, 『山海经圖象全體』, and 『山海經圖』 and the fantasy novels of the Qing Dynasty 『山海经存』 and 『山海经圖錄』. First, the shapes of characters are slightly different in illustration images. Second, Among 453 characters in 山海經, there are a total of 8 characters related to flood damage, such as floods, rainy season, etc.: 'Jangwoo', 'Hapyu', 'Hwasa', 'Yeongryeong', 'Buje', 'Seungwoo', 'Manman', and 'Naeo' Third, it can be seen that the characters are creative ones that are combined with objects and animals and plants, apart from the symbolic meanings of real animals and characters in 山海經. It is believed that the continuous analysis of the characters in 山海經 will enable them to be widely used in the film industry.

• Cartoon and Animation Studies
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• s.31
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• pp.153-176
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• 2013

In the early 20th century, the some of futurist painter was attempted to represents the 'fast-paced' and 'dynamism' on a two-dimensional picture. The expression of fast-paced and dynamic for look like move image in the painting have evolved as a variety of visual symbol. Visual symbols that represent these movements were settled as the line of the most movement expression in the comic. The of Toriyama Akira gained worldwide popularity is emphasized speed and dynamism as the action genre in cartoon, is nice a data to research the line of the movement expression of cartoon. There is three terms as the action line, The speed line, the effect line on the movement expression in The glossary of in the dictionary of , but it not easy to Separate them by means similar. This study is willing to says the semantically problem of previous lines on the movement expression and to present a new alternative in order to study the line on the movement expression of . This study Separate the line on movement expression from symbolic the perspective and try to newly define by using, was classified lines of four kinds by add the afterimage line on existing the speed line, the motion line, the effect line. First, the speed line was defined as 'The line expressing the movement expression of a moving target as the concept of speed'. It on the way of expression was subdivided the direct as speed line when it alter the shape of the target and the indirect speed line when it alter the background of the target. Second, the motion line was defined as 'The line simplified the moving form or the moving path of moving target'. Third, the effect line was defined as 'the line emphasizing the movement expression of a moving target by Sensory expression or emotional expression. Fourth, the afterimage lines was defined as 'The line expressing slowly moving or swaying the movement expression of target to the afterimage effect. The terminology presented in this study will be able to help the understanding of the line on the movement expression .

• Journal of Elementary Mathematics Education in Korea
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• v.9 no.2
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• pp.85-110
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• 2005

The purpose of this study is to examine the characteristics of visual representation used in problem solving process and examine the representation types the students used to successfully solve the problem and focus on systematizing the visual representation method using the condition students suggest in the problems. To achieve the goal of this study, following questions have been raised. (1) what characteristic does the representation the elementary school students used in the process of solving a math problem possess? (2) what types of representation did students use in order to successfully solve elementary math problem? 240 4th graders attending J Elementary School located in Seoul participated in this study. Qualitative methodology was used for data analysis, and the analysis suggested representation method the students use in problem solving process and then suggested the representation that can successfully solve five different problems. The results of the study as follow. First, the students are not familiar with representing with various methods in the problem solving process. Students tend to solve the problem using equations rather than drawing a diagram when they can not find a word that gives a hint to draw a diagram. The method students used to restate the problem was mostly rewriting the problem, and they could not utilize a table that is essential in solving the problem. Thus, various errors were found. Students did not simplify the complicated problem to find the pattern to solve the problem. Second, the image and strategy created as the problem was read and the affected greatly in solving the problem. The first image created as the problem was read made students to draw different diagram and make them choose different strategies. The study showed the importance of first image by most of the students who do not pass the trial and error step and use the strategy they chose first. Third, the students who successfully solved the problems do not solely depend on the equation but put them in the form which information are decoded. They do not write difficult equation that they can not solve, but put them into a simplified equation that know to solve the problem. On fraction problems, they draw a diagram to solve the problem without calculation, Fourth, the students who. successfully solved the problem drew clear diagram that can be understood with intuition. By representing visually, unnecessary information were omitted and used simple image were drawn using symbol or lines, and to clarify the relationship between the information, numeric explanation was added. In addition, they restricted use of complicated motion line and dividing line, proper noun in the word problems were not changed into abbreviation or symbols to clearly restate the problem. Adding additional information was useful source in solving the problem.

• Journal of the Korean Institute of Landscape Architecture
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• v.36 no.5
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• pp.82-93
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• 2008

This research focused on the process in which 'the same scenery' is recognized and represented as 'a different landscape' to determine the symbols and meaning of the scenery and landscape included in real-scenery landscape paintings of the 18th-19th centuries. As a result of analyzing the visual points, the content and expressions of 25 real-scenery landscape paintings of Chong Seok Jeong(叢石亭), it can be seen that the transmission of a kind of semiotic landscape on the basis of a specific symbol was accomplished naturally through imitation and representation for the purpose of the expression of Chong Seok Jeong-like idealized scenery. This shows that the unique images of Chong Seok Jeong have long been passed down after taking root as a unique benchmark The meaningful symbol of 'a strange Saseonbong(四仙峰)', which is broken by the spray after rising high, and 'a pine forest' have both been transmitted as being in the manner of Chong Seok Jeong. This has been equipped with the stereo-type scene by being a collective symbolization as the psycho-scenes in memory element of Chong Seok Jeong. Through the pictures of both Gyeomjae(謙齋) and Danweon(檀園), the process by which a specific painter's pictures become acculturated is highly interesting. The scenery expressed in these pictures was clearly that of a landscape of which its particularly emotions and remembrances were repainted through the experience of several places and original sketches. This can be explained as the concept in which the image from 'a specific scenery' gained through actual experience, that is, a personal feeling, has been expressed. The picture that was expressed as a different figure even at the same visual point for the same scenery is the result that was redefined through the scenery subject's recognition. Also, the modification of the scenery object can be colorful through meditation and Sachu(邪推: guessing with wicked doubt). The scenery recognized newly through adoption, omission and emphasis, it is 'the specific scenery' in the heart and is a figure having been more similar to 'a landscape' if the objective life reproduction before being acculturated is a figure similar to the scenery. So, the concept looks like being very persuasive that 'the nature with objectivity captured sensuously' simply is the scenery, and that 'the subjective phenomenon having acquired the cultural nature by being introspected in the method of aesthetic nostalgia is a landscape'.

• Journal of the Korean Institute of Traditional Landscape Architecture
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• v.32 no.1
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• pp.63-73
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• 2014

This study was intended to analyze the correlation between the builder's intentions and the colors that are revealed through the analysis of the manifestation of symbolic colors as the signs and symbols that are shown in the traditional space of Soshaewon as one of the representative retreating villa gardens of Chosun Dynasty and the interpretation of the meanings. The research on the traditional colors and the intended background of Soshaewon and so on was conducted by examining the relative literature and the contents as the objects for the empirical analysis were the scenic beauties and spatial elemnts that are shown in the plan of Soshewon and the poems about Soshewon 48 scenes as well as the contents of the poems related to Five Primary Colors that are used based on "the Ideology of Five Elements of the Positive and Negative". Espectially, this study was conducted by dividing the spatial elements shown in Soswaewon broadly into the visual, synesthetic and symbolic & cognitive spaces in order to classify the locations and directions of the spaces and natural objects as the visual space, the seasons, the points of times and the five sensory organs as the synesthetic space and the "Four Moral Begginings" & the "Seven Emotions" of New Confucianism as the symbolic and cognitive space and by analyzing if there are any correlation between the decided intentions and the spatial meanings that are revealed by analyzing the system of five primary colors which are used in each spatial element.7) As a result from the analysis of the colors that are used based on the three spatial components of Soshaewon, it was found that one of Five Primary Colors were used 74 times in total. First, in the visual spatial component, one of the colors was used 18 times in total including 2 times of blue, 1 time of red, 6 times of yellow, 4 times of white and 5 times of black. The fact that yellow symbolizing the source of everything and white symoblizing cleanness and pureness are used relatively more often than blue and red symbolizing nature and life respectively can be interpreted that the builder, Mr. San-bo Yang's intention to build Soshaewon is related to the meaning symbolizing the pure will of the builder who wanted to seclude himself from society rather than to give priority to enjoying nature. Second, in the synesthetic spatial component which are selected from the 48 scenes of Soshaewon, one of Five Primary Colors was used 38 times in total including 11 times of blue, 8 times of red, 4 times of yellow, 5 times of white and 10 times of black. Since blue and red symbolizing nature and life respectively are used more often than yellow and black symbolizing the source of the world and pureness & knowledge respectively, it was interpreted that the builder means to be faithful to the unique basic functions of the retreating villa with which the builder wanted to enjoy his passion for enjoying nature and exploring knowledge even though the builder built the villa garden for the purpose of keeping himself pure while being unstained by the world. Finally, it was analyzed that one of Five Primary Colors was used 18 times in total including 4 times of blue, 5 times of red and 9 times of white in the symbolic and cognitive spatial components of the 48 scenes. Since it was found that white symbolizing the builder's political pureness is used at the same frequency as blue and red symbolizing nature and life respectively are used as a result from the analysis, it was interpreted that the intention of creating Soshaewon was emotionally revealed at the same percentage in the aspects of his political pureness and enjoyment of nature through his poems. Especially, as a result from such 3 kinds of analyses regarding to the frequency of using Five Primary Colors, it was found that the number of times using Five Primary Colors in the synesthetic spatial component was 38 as the highest percentage, around 51% followed by each 18 times as the24.5% respectively in the visual and cognitive & symbolic spatial spaces. Based on such results, it can be interpreted that the builder, Mr. San-bo Yang's intention of creating Soshaewon sympolizes that his intention for enjoying the basic nature and the vitality of nature within the retreating villa garden is hidden at the same proportion as his intention for keeping himself pure from the unrightful world. It was intended to reveal the traditional colors which are hidden in a traditional retreating villa by analyzing the correlation between the symbolic meanings and the spatial components of Soshaewon based on the Five Primary Colors which are originated from the "Ideology of the Five Natural Elements of the Positive and Negative", but it is thought that it is possible to explore whether such a theory can be generally applied to other kinds of retreating villa gardens or not through a study on other retreating villa gardens as other examples in which the builder's apparent pure intentions, such as enjoyment of nature and persuit of study, etc., unlike Soshaewon are hidden.

• Journal of Science of Art and Design
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• v.10
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• pp.5-50
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• 2006

The terminology "human body" simply means a physical body but also more often, as an object in art works, carries symbolic concepts incorporating the whole history of human lives. Human body has been employed as an artistic object capturing physical body, delivering artist's idea expressing life indicators from different standpoints of times and places. This point of view about human body in art works has in fact rather short history since 1960's when modern thinking paradigm focusing upon rationality and reasoning has begun declining and on the contrary when the body used to be the servant of the mind and soul for a long time has begun attracting artist's attention as a real entity from the viewpoint of dichotomy. During the 1960's, frequent performances in Pop art and of Fluxus showed that the human body has been an important media for artistic communication after importance of body performances had been raised in Action painting in 1940's. The human body became a more determined media in body art works that had got into stride after Yves Kline's conceptual works applying body and its traces. These kinds of art works have continued and consolidated into the Feminism came into blossom in 1980's and into fragmentated and disembodied body art trend in 1990's. Through development of trends in body works, human body now might well be regarded as a clue provide from individual identity with implication over the world. This thesis is to analyse in semiotic way main works of Kiki Smith who is a representative artist devoting to Feminism and proposing extended significance of human body. In the analysis process of works done by two great artists with histrorical background of art trend in order to find and open an significance horizon of human body, semiotics and bodism are therefore perceived as pertinent and applied as basic tools. The first stage of analysis is to get the significances emerged in between expression part and contextual parts, which are separated structually from the most basic level. The study deals with body works furthermore in the way of structual cohesion of the expression and the context from the view of A J. Greimas' Structural Semantics and tried to build up a basic frame for the extended significances of human body. This thesis is, on the other hand, to attempt to contribute for extension of disembodied and fragmentated body discussed in the structural semantic frame earlier by Julia Kriesteva who delivers abjection concepts and phenomenology of Maurice Merleau-Ponty who enables to overview relationship between the body and the world from the viewpoint of Bodism, further into interpretation level. The other works are Kiki smith's that showed epics about death in mid-1980's, detailed humbleness of vulnerable human body exposed to dichotomy and fragmentation in 1990's and religion and mythology incorporating wouln healing in 2000's and henceforth. Through the analysis of Kiki Smith's representative work 'Pee body', it is verified and confirmed that fragmentated body showed beyond boundary gap of the human body and ultimately tends to imply human healing owing to divine maternity. Bodily symbols in Kiki Smith's are extended to the universal world to imply human life and death on the one hand and religion and mythology of human wound and divine healing one the other hand. This thesis through these process and results of analysis is in a broad context, to emphasize that human body as objectified text has a key indicator role to understand world as well as semiotic extension in art works in late 20th century so that we might confirm bodily symbol as a cultural context constitutes a section of contemporary visual arts.

• Cartoon and Animation Studies
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• s.51
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• pp.129-158
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• 2018

China has had many excellent Chinese-style animation since the 1950s. These animations are of distinctive Chinese national characteristics. They have won many awards both at home and abroad, such as "Feelings of Mountains and Waters", "Uproar In Heaven", "Why is the Crow Black-Coated" and so on. But nowadays, Chinese animations that mimics Japanese and American animation are very often, and there are few animation works with rich traditional Chinese culture. There are some works in the name of Chinese style, but they have not been fully accepted by the audiences. If one wants to create animated works of Chinese style, the author must have an in-depth understanding of Chinese traditional and folk art. Animation can not be designed only on the surface. This paper mainly studies the traditional five color concept in China and its application in animation. The purpose is to provide some references to differentiate Chinese animation from other countries in terms of style and color. The main content of this paper is to understand the concept and history of Chinese traditional five color views, and to know that this color system has reflected the ancestors' concept of nature and society. On the basis of five monochromatic colors, red, yellow, green, white and black, it is a kind of complex color concept that has been developed and perfected continuously after a long period of accumulation and precipitation in the practice of life. It is the theoretical basis of Chinese traditional color system and a complete set of historical, cultural, philosophical and religious theories. Finally, this paper analyzes the colors and their symbolic meanings of the main roles in "Uproar In Heaven", a color long animation produced by Shanghai Animation Film Studio, including Sun Wukong, the Jade Emperor and Na Zha. Color is the first visual language. The use of color symbols to express the inner feelings, status, good and evil of the characters will affect the audience's emotions, behaviors and opinions imperceptibly. The traditional Chinese five color concept has gone through such a long history, and its symbolic meaning has a more profound impact on Chinese people. Applying the color concept and symbolic meaning of Chinese traditional five color concept will further highlight the personalities and emotions of the roles in Chinese style animations. This paper takes the five-color view as the theoretical basis, and through the analysis of cartoons with traditional Chinese color, the author finds ways to flexibly use traditional Chinese culture.