• Title/Summary/Keyword: mathematical characters

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An Analysis on the Effect by the Characteristics of Intuition of Elementary Students in Mathematical Problem Solving Process (초등학생들의 문제해결 과정에서 직관의 특징에 의한 영향 분석)

  • Lee, Dae-Hyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.197-215
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    • 2010

  • Intuition plays an important role in the mathematical education as well as the process of invention in mathematics. And many mathematics educators became interested in intuition in mathematics education. So we need to analyze the effect of the characters of intuition of elementary students. In this study, the questionnaire and the interview were used. The subjects were 6 grade-103 students in the questionnaire. They were asked to solve the problems in the questionnaire which was designed by the researcher and to describe the reasons why they answered like that. Students are effected directly by the characters of intuition, ie self-evidence, intrinsic certainty, implicitness, etc. And the effect come from intuitive and ordinary experiences and the results of previous learning. In conclusion, we have to be interested in teaching via intuition and to control the effect of the characters of intuition.

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A study on the transition of native korean terminology in elementary mathematics (우리나라 초등학교 고유어 수학 용어의 변천에 대한 연구)

  • Park, Kyo Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.2
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    • pp.291-308
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    • 2017

  • In 1946, many native korean mathematical terms are coined newly by the ministry of education of USAMGIK(the United States Army Military Government in Korea) through referring to the opinions of various circles. In native korean mathematical terms created at the time, many of them are coined, either by using native korean words corresponding to the meaning of chines characters, or by abbreviating newly coined native korean mathematical terms. However, in less than 20 years, about half of native korean mathematical terms made in 1946~1947 has been went back to chines character mathematical terms, and most of those chines character mathematical terms has been used up to now from then. Although, in the teaching and learning of mathematics, the discomfort of chinese characters mathematical terms is pointed out and it is claimed that the use of native korean mathematical terms is helpful, it is not everything to hurry to use native korean mathematical terms. Attempts to convert chinese characters mathematical terms into native korean mathematical terms should be prudent. When a certain native korean mathematical term is used, if it must be used only because it is a native korean mathematical term, then the term has no choice but to fail. In this paper, we propose the following three implications as conclusions for the successful use of native korean mathematical terms in this viewpoint. First, attempts to coin native korean mathematical terms should be continued. Second, it is necessary to identify the survival power of well-preserved native korean mathematical terms. Third, it is necessary to identify the failure factors of native korean mathematical terms which does not survive today.

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HANDWRITTEN HANGUL RECOGNITION MODEL USING MULTI-LABEL CLASSIFICATION

  • HANA CHOI
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.27 no.2
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    • pp.135-145
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    • 2023

  • Recently, as deep learning technology has developed, various deep learning technologies have been introduced in handwritten recognition, greatly contributing to performance improvement. The recognition accuracy of handwritten Hangeul recognition has also improved significantly, but prior research has focused on recognizing 520 Hangul characters or 2,350 Hangul characters using SERI95 data or PE92 data. In the past, most of the expressions were possible with 2,350 Hangul characters, but as globalization progresses and information and communication technology develops, there are many cases where various foreign words need to be expressed in Hangul. In this paper, we propose a model that recognizes and combines the consonants, medial vowels, and final consonants of a Korean syllable using a multi-label classification model, and achieves a high recognition accuracy of 98.38% as a result of learning with the public data of Korean handwritten characters, PE92. In addition, this model learned only 2,350 Hangul characters, but can recognize the characters which is not included in the 2,350 Hangul characters

  • https://doi.org/10.12941/jksiam.2023.27.135 인용 PDF

MULTIPLICITY-FREE ACTIONS OF THE ALTERNATING GROUPS

  • Balmaceda, Jose Maria P.
    • Journal of the Korean Mathematical Society
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    • v.34 no.2
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    • pp.453-467
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    • 1997

  • A transitive permutation representation of a group G is said to be multiplicity-free if all of its irreducible constituents are distinct. The character corresponding to the action is called the permutation character, given by $(1_H)^G$, where H is the stabilizer of a point. Multiplicity-free permutation characters are of interest in the study of centralizer algebras and distance-transitive graphs, and all finite simple groups are known to have such characters. In this article, we extend to the alternating groups the result of J. Saxl who determined the multiplicity-free permutation representations of the symmetric groups. We classify all subgroups H for which $(1_H)^An, n > 18$, is multiplicity-free.

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