• Journal of Korean Philosophical Society
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• v.152
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• pp.59-79
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• 2019

The main purpose of this paper is to critically examine the intractable problems of Peirce's notion of 'symbol' as a higher and perfect mode of sign, and present a more appropriate account of the higher status of symbol from an experientialist perspective. Peirce distinguished between icon, index, and symbol, and suggested symbol to be a higher mode of sign, in that it additionally requires "interpretation." Within Peirce's picture, the matter of interpretation is to be explained in terms of "interpretant," while icon or index are not. However, Peirce's conception of "interpretant" itself remains fraught with intractable opacities, thereby leaving the nature of symbol in a misty conundrum. Drawing largely on the experientialist account of the nature and structure of symbolic experience, I try to explicate the complexity of symbol in terms of "the symbolic mapping." According to experientialism, our experience consists of two levels, i.e., physical and symbolic. Physical experience can be extended to symbolic level largely by means of "symbolic mapping," and yet is strongly constrained by physical experience. Symbolic mapping is the way in which we map part of certain physical experience onto some other area, thereby understanding the other area in terms of the mapped part of the physical experience. According to this account, all the signs, icon, index, and symbol a la Peirce, are constructed by way of symbolic mapping. While icon and index are constructed by mapping physical level experience onto some signifier(i.e. Peirce's "representamen"), symbol is constructed by mapping abstract level experience onto some signifier. Considering the experientialist account that abstract level of experience is constructed by way of symbolic mapping of physical level of experience, the symbolic mapping of abstract level of experience onto some other area is a secondary one. Thus, symbol, being constructed by way of secondary or more times mapping, becomes a higher level sign. This analysis is based on the idea that explaining the nature of sign is a matter of explaining that symbolic experience, leaving behind Peirce's realist conception of sign as a matter of an event or state of affairs out there. In conclusion, I suggest that this analysis will open up new possibilities for a more appropriate account of the nature of signs, beyond Peirce's complicated riddles.

• Communications of Mathematical Education
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• v.23 no.2
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• pp.461-481
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• 2009

The semiotic approach to the mathematics education has been studied in last 20 years by PME, ICME conferences. New cultural developments in multi-media, digital documents and digital arts and cultures may influence mathematical education and teaching and learning activities. Hence semiotical interest in the mathematics education research and practice will be increasing. In this paper the basic ideas of semiotics, such as Peirce triad and Saussure's dyad, are introduced with some mathematical applications. There is some similarities between traditional research topics for concept, representation and social construction in mathematics education research and semiotic approach topics for the same subjects. some semiotic applications for an arithmetic problem for work, induction, deduction and abduction syllogisms with respect to Peirce's triad, its meaning in scientific discoveries and learning in geometry and symmetry.

• The Journal of the Korea Contents Association
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• v.11 no.6
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• pp.76-89
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• 2011

The first purpose of this paper is to design brand logo sign analysis frame, 'SCoL'(Analysis frame of signification and communication for the brand logo). It has semiotic view and communication function. And the second is to prove propriety of the suggested frame by application to social media brand logos. The SCoL frame is based on 4 features of logo sigh to have analytic consistency. Also, it covers whole semiological process with index, icon, symbol as signification understanding and reach communication step with Jakobson's theory. As the results, the findings are follow; The SCoL frame can be useful to get comprehensive semiotic understandings and communication functions about logo signs. The social media brands build their own meaning area with logo signs and they depend on different communication function.

• Journal of Educational Research in Mathematics
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• v.21 no.2
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• pp.165-180
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• 2011

Mathematical symbols concisely represent mathematical contents related to terms by describing their mathematical meanings implicitly. All symbols in elementary school mathematics textbooks are stated as to be read so that elementary school students could understand their mathematical meanings. The same is somewhat true as in middle school mathematics textbooks, however it is often the case that some symbols are difficult to be read and understood because their statements are unclear or different. In this study, we analyze problems and suggest implications on teaching and learning mathematics based on the statements and understanding of reading symbols in middle school mathematics textbooks.

• Journal of Educational Research in Mathematics
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• v.20 no.4
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• pp.511-528
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• 2010

Students' intuition in formal proof should be expressed as symbols according to the deductive process. The symbol will play a role of the mediation between the intuition and the formal proof. This study examined the evolution process of intuition mediated by the symbol in geometry proof. According to the results first, symbol took the great roles when students had the non-formed intuition for the proposition. The signification of symbols could explain even the proof process of the proposition with the non-expectable intuition. And when students proved it by symbols, not by figure nor words, they could evolute the conclusive intuition about the proposition.

• Journal of Educational Research in Mathematics
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• v.13 no.4
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• pp.463-483
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• 2003

In the learning of mathematics, students experience the semiotic activities of representing and interpreting mathematical signs. We called these activities as the representing and interpreting of mathematical signs. On the foundation of Peirce's three elements of the sign, we analysed that students constructed the representamen to interpret the concept of correlation as for the object, "as one is taller, one's size of foot is larger" 4 middle school students who participated the gifted center in Seoul, arranged the statistical data, constructed their own representamen, and then learned the conventional signs as a result of the whole class discussion. In the process, students performed the detailed representing and interpreting of signs, depended on the templates of the known signs, and interpreted the process voluntarily. As the semiotic activities were taken place in this way, it was needed that mathematics teacher guided the representing and interpreting of mathematical signs so that the representation and the meaning of the sign were constructed each other, and that students endeavored to get the negotiation of the interpretants and the representamens, and to reach the conventional representing.

• Communications of Mathematical Education
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• v.14
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• pp.43-60
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• 2001

수학적 기호는 수학이라는 특수한 분야에 한정되어 사용되는 언어라고 할 수 있다. Usiskin(1996)은 수학을 쓰고 수학적 의미를 의사 소통하는 데에 기호가 그 수단이 되기 때문에 수학 또한, 수학적 기호로 만들어진 언어라고 말하였다. 그러나, 수학적 언어와 일상 언어사이의 이중성 때문에 언어로써 수학 기호는 학생들을 힘들게 만든다. 교사에게는 의미 있는 기호일지라도 학생들에게는 친숙하지 않을 수 있기 때문에, 많은 학생들이 자신들의 수학적 사고를 표현하거나 개념을 반영하거나 또는 아이디어를 확장하기 위해, 수학을 말하고, 읽고, 이해하고 쓰는 데에 어려움을 겪고 있다. 따라서, 본 연구는 학생들이 기호체계에 능숙해지도록 도와주고, 수학 학습과 문제 해결을 위해 수학 기호 언어가 의미 있고 접근하기 쉬운 의사소통 매체가 되게 하기 위하여 언어적 접근에 의하여 수학적기호의 교수-학습지도 방법에 대하여 살펴보고자 한다.

• Journal for History of Mathematics
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• v.22 no.3
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• pp.45-60
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• 2009

Mathematical thinking can be symbolized by the external signs, and these signs determine in reverse the form of mathematical thinking. Each symbol - a symbol in algebra, a symbol in analysis, and a diagram which verifies syllogism - reflects the diverse characteristic of cogitation in mathematics and perfirms a heuristic function.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.663-678
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• 2017

Semiotic studies in mathematical education have been based on Saussure, Peirce, and Frege and many prior researches have explored the concepts in a perspective of semiotics. However, the relationship among semiotical elements and the formation and the evolution of a conception are still ambiguous and veiled in many aspects. This thesis is intended to show how a conception was formed and evolved by expression, which is an element of semiotics. In this process, I sought to partially illuminate the relationship among expressions, concepts, and objects.

• Journal of the Korean Society for information Management
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• v.29 no.3
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• pp.79-97
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• 2012

The purpose of this study was to investigate the current status of assigning book numbers and the perceptions of librarians who assign the book numbers at two National Libraries, nine Regional Central Libraries and Jeongdok Public Library in Korea. Based upon the analysis, a better method to assign book numbers for the libraries was suggested. The most serious problem was the length of the book numbers due to the duplication of book numbers and lack of intuitiveness. Therefore, this study suggested a user-oriented way of assigning book numbers based upon combining the name of the author and the year of the publication.