• Education of Primary School Mathematics
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• v.10 no.1 s.19
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• pp.29-39
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• 2007

This paper is to give a brief introduction to a new discipline called 'conceptual metaphor' and 'mathematical metaphor(Lakoff & Nunez, 2000) from the viewpoint of mathematics education and to analyze the metaphors at 4th graders' mathematics classroom as a case of conceptual metaphors. First, contemporary conception on metaphors is reviewed. Second, it is discussed on the effects and defaults of metaphors in teaching and learning mathematics. Finally, as a case study of mathematical metaphors, conceptual metaphors on the concepts of triangles at 4th graders' mathematics classrooms are analyzed. Students may reason metaphorically to understand mathematical concepts. Conceptual metaphor makes mathematics enormously rich, but it also brings confusion and paradox. Digging out the metaphors may lighten both our spontaneous everyday conceptions and scientific theorizing(Sfard, 1998). Studies of metaphors give us the power of understanding the culture of mathematics classroom and also generate it.

• Lingua Humanitatis
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• v.8
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• pp.409-427
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• 2006

This paper deals with the various conceptual metaphors of 'mind' in Korean and English within the Cognitive Semantics. The purpose of this paper is to investigate the metaphorical expressions of the concept 'mind' represented andunderstood in various ways in Korean and English, to find out the linguistically-universal conceptual metaphors underlying the uses of the metaphoric expressions. In addition, this paper discusses the differences in linguistic realization of the concept 'mind' between Korean and English from the socio-cultural background. In the traditional view, metaphor was thought only as the linguistic matters and a deviance from literal or normal use. However, within the Cognitive Linguistic view such as Lakoff and Johnson(1980), metaphor has been considered as a means of understanding and conceptualizing world. According to them, metaphor is found in everyday life because it is not only as a matter of language but also as a nature of human conceptual system controlling cognition, thought and behavior. Conceptual metaphor is suggested as a device to understood abstract and less familiar things through concrete and more familiar things. Conceptual metaphors may be realized linguistically as well as non-linguistically, in the form of movies, arts or behavior. To define the concept 'mind' shared among the Koreans, conceptual metaphors used to represent 'maum(mind)'in Korean are examined. Then they are compared with the ones used to represent 'mind' in English. This is based on the idea that conceptual metaphors represented in linguistic expressions naturally reflect the speakers' concept and conceptualization is a universal irrespective of language. This paper exemplifies the Korean sentences as well as English sentences to utilize some conceptual metaphor such as Johnson(1987)'s THE MIND IS THE BODY and shows many other conceptual metaphors used in Korean and English to represent the same concept 'mind'. What are some metaphors shared by two languages and what is specific to one of them will be shown, too. This paper also suggests that the different conceptualization or lexicalization is partly due to the effect of the oriental cultural background that is more interested in the mental world than the physical world.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.12 no.10
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• pp.4348-4353
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• 2011

This paper is based on the Cognitive Linguistics point of view on metaphor. Metaphors are not a matter of language use or rhetorics but of a conceptual frame, where thoughts work. The conceptual frames can highlight one aspect affecting our lives while hiding the other aspect of the facts. Politicians use metaphors to persuade people and justify their political decisions. Lakoff argues that the Republicans in the U.S. have their own conceptual framework based on the 'strict father model' of the conservatives, which can be found in important political speeches. Political metaphors supporting this view are found in the 'Attack on Iraq Speech' by G. H. Bush in 1991 and 'Operation Iraqi Freedom Address' by G. W. Bush in 2003.

• Lingua Humanitatis
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• v.8
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• pp.11-38
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• 2006

Laotzu's view of language is well expressed at the beginning stanza of "道可道 非常道" of Tao De Ching, the interpretation of which is pivotal for the proper interpretation of the entire text. Two lines of interpretation of this stanza have been proposed; The first view regards the letter "道" in "非常道" as representing that which is signified by a sign. The other takes the posture that the letter "道" is itself the signifier of the sign. I argue in this article that the second posture should be taken to interpret Tao De Ching properly, contrary to the traditional interpretation of this stanza, by pointing out the verses which inevitably contradict each other when interpreted according to the first view. The second view leads to the conclusion that everyday language is not sufficient enough to describe the supernatural beings, including Tao, accurately, and seeks a way to augment ordinary language for appropriate description of such supernatural beings. The strategy Laotzu adopts in Tao De Ching is to expand the expressive power of ordinary language by extensive use of metaphors. This paper discerns 4 conceptual metaphors in the sense of Johnson and Lakoff(1980) which underlie the metaphors used in Tao De Ching: (1) Tao is Void; (2) Tao is Mother; (3) Tao is Valley; and (4) Tao is Untrimmed Log.

• Lingua Humanitatis
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• v.1 no.1
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• pp.221-233
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• 2001

The purpose of this paper is twofold. On the one hand it takes issue with Engstrom's claim that conceptual metaphors are propositional; on the other, it aims to demonstrate that the mathematical term 'mapping' is inappropriate for the analysis of metaphors. To my mind, the propositional analysis of metaphors, a wrong analysis for that matter, originates in the notion 'mapping' I argue that partial 'mapping' between propositional meanings and metaphorical meanings is either mental or psychological, with no concomitant 'truth' value. When concept metaphors represent propositionality, they lose metaphoricity; when they obtain metaphoricity, they are free of propositionality. The mathematical terms 'mapping' and 'proposition,' it is stressed, should be avoided in the analysis of concept metaphors like 'A is B' because they are confusing when applied to linguistic expression. 1 suggest that the term 'mapping' be replaced by phrases such as 'interaction between two domains,' projection from source-domain to target domain,' or 'understanding the properties of two domains between A and B,' etc. This would amount to proposing a pragmatic or cognitive theory of metaphor.

• Journal of the Korea Computer Industry Society
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• v.9 no.2
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• pp.83-92
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• 2008

Throughout the history of computer use, the interface metaphor has been employed to make computers easier for humans to use. Even the earliest command line interfaces used metaphor. Metaphors in user interfaces help to make the software accessible to users and allow the users to communicate with the system as well. User interface guidelines for most of the popular operating systems encourage the use of metaphors in interface design. Thus, metaphor in interface design is employed as central element with a long history. Therefore, this paper will suggest substantiating guidelines which are based on conceptual model and Gestaltprinciples for successful metaphor construction with a better user interface.

• School Mathematics
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• v.5 no.1
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• pp.135-149
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• 2003

We present an understanding about students' conceptual model of differential equations, based on the discourse data that were collected in a differential equations course at a university in Korea. An interpretive approach is taken to analyze classroom discourse. This paper consists of three main parts. First, we completely analyze the students' use of conceptual metaphor in a university differential equations class. Secondly, we identify conceptual metaphors representing students' conceptual model of differential equations. Finally, we describe the mathematical characteristics of the conceptual metaphors identified in detail. Among other things, this paper reveals that there exists dual aspects of the students' conceptual model of differential equations. In other words, in the differential equations course observed we found that the students very often used two kinds of conceptual metaphor,“machine metaphor”and“fictive motion metaphor”, that have contrastingly different mathematical characteristics. In order to interpret the duality, we take a sociocultural perspective, and this perspective suggests and helps us to realize the significance of understanding of cognitive diversity in mathematics classroom.

• Cross-Cultural Studies
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• v.28
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• pp.67-86
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• 2012

Metaphors were conceived of as a figure of speech whose role consisted in merely ornamenting the language. However, with their seminal book Metaphors we live by (1980), Lakoff and Johnson have revolutionized the conception of metaphors by placing them as central to human language, thought and action. Cognitive linguists argue that humans tend to conceptualize abstract concepts, such as time, through more experiential and tangible concepts. For instance, it has been observed that the abstract concept of time is conceptualized as space in several unrelated languages. According to the Conceptual Metaphor Theory (CMT), TIME AS SPACE metaphor covers two more specific metaphors: (1) The MOVING TIME metaphor wherein the observer is conceived as a stationary entity, as in The end of the academic year is getting closer; and (2) The TIME AS A LOCATION metaphor wherein times are conceived as stationary points and the observer is conceived as moving relative to these locations, as in We are first approaching the end of the year. This paper aims at probing the validity of the CMT representations of time on the basis of an analysis of time metaphors in two languages: English and French. This analysis is conducted within the framework of CMT. The results corroborate the CMT representations of time, suggesting that in both languages the abstract concept of time is expressed in spatial terms. In English, as in French, time is conceptualized as a moving entity and as having extension in space. In both languages, time can be seen as bounded; therefore, one can perform actions within defined limits of time.

• Education of Primary School Mathematics
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• v.27 no.3
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• pp.321-331
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• 2024

This study aims to analyze the difficulties encountered in the process of conceptualizing fractions from the perspective of metaphor. To achieve this, metaphors in mathematics education were examined by dividing them into natural conceptualizations through metaphor and their extension to educational metaphors. Subsequently, the difficulties in learning fractions through metaphorical conceptualization were analyzed from three aspects: the integration of multiple metaphors, interference from previously formed grounding metaphors, and the paradoxes of metaphor. Through this analysis, the study highlights the need for careful attention to how metaphors function during fraction learning and aims to provide insights for devising instructional strategies for teaching fractions.

• Journal of the Ergonomics Society of Korea
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• v.30 no.1
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• pp.187-193
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• 2011

Objective: The aim of this study was to investigate the association between conceptual metaphors of affect and physical dimensions. Background: The evidence that affect is unconsciously linked to physical dimensions(e.g., position and color) has been obtained in western cultures. However, in eastern cultures, especially, in Korea, it has been seldom tested. It is indispensable to examine whether or not cultural differences exist for better understanding of the conceptual metaphors. Method: 50 positive and 50 negative words were adopted from previous studies in order to determine the relationship between physical domains and abstract affect. Three hypotheses were tested in this study: (1) Good is up. (2) Good is bright. (3) Good is right(for right-handers). The automatic association between valence(positive vs. negative) and vertical position (up vs. down) was investigated in experiment 1, in which 100 words were randomly presented on either the top or the bottom of a LCD screen and the evaluation time of the presented word was recorded. The unconscious association between valence and color(white and black) was examined in experiment 2, where each word was randomly presented in either white or black. Lastly, we tested whether right-handers tend to associate rightward space with positive ideas and leftward space with negative ideas. Results: Reaction time was faster when words were presented in metaphor congruent domains(e.g., 'positive words on the top, in bright color, and on right space vs. negative words on the bottom, in dark color, and on left region) than when they were shown in metaphor incongruent domains. Conclusion: The results might give the groundwork for various directions in further understanding perception, emotion, and behavior. Application: This study may provide useful points to GUI designers and service developers if further studies enhanced in validity and reliability are followed.