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The Development and Application of Girih tiling Program for the Math-Gifted Student in Elementary School (Girih 타일링을 이용한 초등수학영재 프로그램 개발 및 적용 연구)

  • Park, Hye-Jeong;Cho, Young-Mi
    • Journal of Gifted/Talented Education
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    • v.22 no.3
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    • pp.619-637
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    • 2012
  • The purpose of this study is to develop a new program for elementary math-gifted students by using 'Girih Tililng' and apply it to the elementary students to improve their math-ability. Girih Tililng is well known for 'the secrets of mathematics hidden in Mosque decoration' with lots of recent attention from the world. The process of this study is as follows; (1) Reference research has been done for various tiling theories and the theories have been utilized for making this study applicable. (2) The characteristic features of Mosque tiles and their basic structures have been analyzed. After logical examination of the patterns, their mathematic attributes have been found out. (3) After development of Girih tiling program, the program has been applied to math-gifted students and the program has been modified and complemented. This program which has been developed for math-gifted students is called 'Exploring the Secrets of Girih Hidden in Mosque Patterns'. The program was based on the Renzulli's three-part in-depth learning. The first part of the in-depth learning activity, as a research stage, is designed to examine Islamic patterns in various ways and get the gifted students to understand and have them motivated to learn the concept of the tiling, understanding the characteristics of Islamic patterns, investigating Islamic design, and experiencing the Girih tiles. The second part of the in-depth learning activity, as a discovery stage, is focused on investigating the mathematical features of the Girih tile, comparing Girih tiled patterns with non-Girih tiled ones, investigating the mathematical characteristics of the five Girih tiles, and filling out the blank of Islamic patterns. The third part of the in-depth learning activity, as an inquiry or a creative stage, is planned to show the students' mathematical creativity by thinking over different types of Girih tiling, making the students' own tile patterns, presenting artifacts and reflecting over production process. This program was applied to 6 students who were enrolled in an unified(math and science) gifted class of D elementary school in Daejeon. After analyzing the results produced by its application, the program was modified and complemented repeatedly. It is expected that this program and its materials used in this study will guide a direction of how to develop methodical materials for math-gifted education in elementary schools. This program is originally developed for gifted education in elementary schools, but for further study, it is hoped that this study and the program will be also utilized in the field of math-gifted or unified gifted education in secondary schools in connection with 'Penrose Tiling' or material of 'quasi-crystal'.

Development of test for Korean functional health literacy in dentistry (국내거주 외국인을 위한 한국형 치과정보 이해능력 평가도구의 개발)

  • Kim, Hyun-Kyung;Noh, Hie-Jin;Jung, Im-Hee;Chung, Won-Gyun;Lee, Yun;Mun, So-Jung;Jeon, Hyun-Sun;Han, Sun-Young;Choi, Eun-Hee;Ki, Jun-Sung;Koo, Min-Ji;Jeong, Ju-Hui
    • Journal of Korean society of Dental Hygiene
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    • v.16 no.3
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    • pp.355-362
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    • 2016
  • Objectives: This study aimed to develop a tool for assessing foreigners' understanding of oral health information in Korea called the Test of Korean Functional Health Literacy in Dentistry(TOKFHLiD) and examined validity and reliability of the tool. The TOKFHLiD consists of two literacy assessment parts: Dental Information Sentence(DIS) aims to assess one's literacy of sentences containing oral health information. Dental Information Document(DID) aims to assess one's numeracy and literacy of documents containing oral health information. Methods: Twenty eight preliminary questions were developed based on various medical care literature such as the agreement to diagnosis and treatment and the treatment precautions. DID using 14 preliminary questions was developed based on the appointment card, the treatment schedule, and labels on oral care products. The 42 preliminary questions in the DIS and the DID were subsequently put through four separate expert reviews, in which questions with content validity score of less than 0.8(13/15 points) were corrected and modified by five dental experts and then were corrected for language errors by two Korean language experts. The preliminary assessment tool was tested on 153 Koreans, and ${\chi}^2$ test was performed on the ratio of respondents who comprehended each question, the ratio of respondents who chose the correct answer for each question with a significance level of 0.05. Results: Of the 42 preliminary questions, 1 question in DIS and 1 question in DID, for which the ratio of Korean respondents who chose the correct answers did not exceed the acceptable level of 80%, were excluded and a final assessment tool was completed with 40 questions. Conclusions: Following the development and application of the tool, examination of the TOKHLiD for validity and reliability revealed that this assessment tool is adequate for assessing oral health information literacy of foreigners who are using oral hygiene medical services in Korea.

Restoring Omitted Sentence Constituents in Encyclopedia Documents Using Structural SVM (Structural SVM을 이용한 백과사전 문서 내 생략 문장성분 복원)

  • Hwang, Min-Kook;Kim, Youngtae;Ra, Dongyul;Lim, Soojong;Kim, Hyunki
    • Journal of Intelligence and Information Systems
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    • v.21 no.2
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    • pp.131-150
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    • 2015
  • Omission of noun phrases for obligatory cases is a common phenomenon in sentences of Korean and Japanese, which is not observed in English. When an argument of a predicate can be filled with a noun phrase co-referential with the title, the argument is more easily omitted in Encyclopedia texts. The omitted noun phrase is called a zero anaphor or zero pronoun. Encyclopedias like Wikipedia are major source for information extraction by intelligent application systems such as information retrieval and question answering systems. However, omission of noun phrases makes the quality of information extraction poor. This paper deals with the problem of developing a system that can restore omitted noun phrases in encyclopedia documents. The problem that our system deals with is almost similar to zero anaphora resolution which is one of the important problems in natural language processing. A noun phrase existing in the text that can be used for restoration is called an antecedent. An antecedent must be co-referential with the zero anaphor. While the candidates for the antecedent are only noun phrases in the same text in case of zero anaphora resolution, the title is also a candidate in our problem. In our system, the first stage is in charge of detecting the zero anaphor. In the second stage, antecedent search is carried out by considering the candidates. If antecedent search fails, an attempt made, in the third stage, to use the title as the antecedent. The main characteristic of our system is to make use of a structural SVM for finding the antecedent. The noun phrases in the text that appear before the position of zero anaphor comprise the search space. The main technique used in the methods proposed in previous research works is to perform binary classification for all the noun phrases in the search space. The noun phrase classified to be an antecedent with highest confidence is selected as the antecedent. However, we propose in this paper that antecedent search is viewed as the problem of assigning the antecedent indicator labels to a sequence of noun phrases. In other words, sequence labeling is employed in antecedent search in the text. We are the first to suggest this idea. To perform sequence labeling, we suggest to use a structural SVM which receives a sequence of noun phrases as input and returns the sequence of labels as output. An output label takes one of two values: one indicating that the corresponding noun phrase is the antecedent and the other indicating that it is not. The structural SVM we used is based on the modified Pegasos algorithm which exploits a subgradient descent methodology used for optimization problems. To train and test our system we selected a set of Wikipedia texts and constructed the annotated corpus in which gold-standard answers are provided such as zero anaphors and their possible antecedents. Training examples are prepared using the annotated corpus and used to train the SVMs and test the system. For zero anaphor detection, sentences are parsed by a syntactic analyzer and subject or object cases omitted are identified. Thus performance of our system is dependent on that of the syntactic analyzer, which is a limitation of our system. When an antecedent is not found in the text, our system tries to use the title to restore the zero anaphor. This is based on binary classification using the regular SVM. The experiment showed that our system's performance is F1 = 68.58%. This means that state-of-the-art system can be developed with our technique. It is expected that future work that enables the system to utilize semantic information can lead to a significant performance improvement.

Analysis of Characteristics of the Abandoned Tumulus Site Located at the East Side of the Silla Era Hwang Bok Sa (皇福寺) Site (신라 황복사지(皇福寺址) 동편 폐고분지(廢古墳址)의 성격)

  • Jang, Hojin;Kang, Ryangji
    • Korean Journal of Heritage: History & Science
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    • v.53 no.1
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    • pp.88-105
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    • 2020
  • This study examined existing theories of the characteristics of the abandoned tumulus site located at the east side of the Silla era Hwang Bok Sa (皇福寺) site and attempted an archaeological approach based on the derived facts, combining both the results of this study and those of a recently conducted excavation survey. The results of this investigation exhibited the following outcomes. First, the excavation survey revealed that the huge rounded stones discovered on the surface of a rice paddy field located at the east side of the Silla era Hwang Bok Sa were all protecting stones, processed on the front side in the form of a bow, designating a royal tomb. Most of these protecting stones had deviated from their original positions due to subsequent farming practices and some had been re-cycled for construction purposes as fences or foundations for structures built in the Silla era. Considering the prevailing belief in the concept of reincarnation, the bone rank system, and royal authority in the Silla era at that time, it would seem likely that the royal tombs were not intentionally destroyed. Therefore, it is speculated that the stones in this royal tomb were abandoned during construction of the tomb of the King at that time and then naturally re-cycled as building components used in construction sites in later years. Second, this study comparatively analyzed the scale and quality of the supporting stones at the royal tomb site in Guhwang-dong. The analysis results verified that those supporting stones were the same stones from the royal tomb used as supporting stones for statues symbolizing the twelve earthly branch spirits that were restored at the site of the tower at the royal tomb. This confirmed that the statues of the twelve earthly branches spirits sitting at the Hwang Bok Sa site were the protecting stones from a different royal tomb. Accordingly, the conclusion that has been generally accepted to date-that the protecting stones of the statues of twelve earthly branches spirits sitting at Hwang Bok Sa site were probably moved from the royal tomb site in Guhwang-dong-must inevitably be modified. Third, based on the structure of the protecting stones and type of the royal tomb, it is speculated that the individual buried in the royal tomb at Guhwang-dong is one of the kings who followed King Heungdeok and similar times of the buried person of the tomb that was considered as King Gyeongdeok, and who was before the buried person of the tomb that was considered as Kim Yu-sin. In addition, when considering the historical art patterns on the supporting stones of the statues that symbolize the twelve earthly branches spirits, which were moved to the site of the tower at the royal tomb, it is reasonable to believe that the person buried at the royal tomb at Guhwang-dong is likely one of the Kings of the late Silla era of the 9th century.