• Education of Primary School Mathematics
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• v.16 no.1
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• pp.21-33
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• 2013

In this study, We analyzed the mathematical thinking of sixth grade students showed mathematics lessons through the application of Lakatos' methodology and search for the role of their teachers in this lessons. We supposed to find the solution to the way of teaching-learning regarding the Lakatos' methodology for the elementary school level. According to the stages of presenting a problem situation, suggesting an initial conjecture, examining the conjecture, and improving the conjecture, we had lessons 8 times that are applied to Lakato's methodology. We gathered and analyzed data from lessons and interviews recording videotapes, documents for this study. The participants showed a lot of mathematical thinking. They understood the problem situation with the skill of fundamental thinking and suggested the initial conjecture by the skill of developmental thinking and they found a counter-example to be able to rebut the initial conjecture by critical thinking. Correcting the conjecture not to have counter-example, they drew developmental thinking and made their thinking generalize.

• Journal of Educational Research in Mathematics
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• v.23 no.2
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• pp.173-192
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• 2013

It may be replacement proofs with understanding and explaining geometrical properties that was a remarkable change in school geometry of 2009 revised national curriculum for mathematics. That comes from the difficulties which students have experienced in learning proofs. This study focuses on one of those difficulties which are caused by the forms of proofs: using letters for designating some sides or angles in writing proofs and understanding some long sentences of proofs. To overcome it, this study aims to investigate the applicability of Byrne's method which uses coloured diagrams instead of letters. For this purpose, the proofs of three geometrical properties were taught to middle school students by Byrne's visual method using the original source, dynamic representations, and the teacher's manual drawing, respectively. Consequently, the applicability of Byrne's method was discussed based on its strengths and its weaknesses by analysing the results of students' worksheets and interviews and their teacher's interview. This analysis shows that Byrne's method may be helpful for students' understanding of given geometrical proofs rather than writing proofs.

• THE INTERNATIONAL COMMERCE & LAW REVIEW
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• v.70
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• pp.159-179
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• 2016

Companies do not be resolved by the FTA services of external aid should be operational by assigning dedicated personnel inside the company. FTA is a choice, not an essential trade agreement requirements. If the exporter contracts to provide a certificate of origin in trade agreements, it shall issue a certificate of origin of goods originating management is performed. When considering the future trend of spreading wide FTA, it should be extended to one year to take advantage of the FTA Certificate of Origin environments utilizing a comprehensive environment for regional countries that require proof of origin between certain countries, such as current. FTA utilization of the future is to utilize the GVC(Global Value Chain) efficiently. In other words, the expansion of the consumer market and take advantage of an efficient production base across borders. These environmental changes are needed development of the FTA utilization promotion and FTA experts. The experts studying how to procure raw materials or intermediate goods exports in a variety of regional foreign countries, to meet the rules of origin is required for a successful FTA utilization. One of the objectives of Origin managers are qualified experts in the country of origin can take advantage of the FTA plan. Therefore, managers of origin shall collect their ability to expand the understanding and information about the industry as an international business perspective beyond the Certificate of Origin. In addition, it should be in their best learning expertise for the introduction and development of country of origin control system in an effort to effectively perform its international FTA utilization. Once the FTA is more widespread in the future and build a common origin information it must not be disconnected until the export enterprises from terminal manufacturers systematically. Therefore origin management is preferred by expanding the knowledge base of teaching and learning in the common sense to the universal subject of specialization from professional schools to promote the relevant departments so that they can be opened in a college or university. An FTA hub linking East and West, also need the confidence that in order to become a center of Glabal Supply Chain Using an FTA Certificate of Origin and stable environment for importers to import products from the country offers. Certificate of Origin and all of them thoroughly exporters and companies related to the administration of origin and should create an atmosphere that can effectively respond to the origin verification. Korea shall endeavor to elicit a geopolitical value (FTA Hub), as well as securing a competitive advantage in the global industry leverage, trading at a reasonable price competitive products thereby enhancing production and economic growth through the FTA.

• Journal of the Korean School Mathematics Society
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• v.14 no.3
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• pp.355-375
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• 2011

This paper was designed for the purpose of helping the functional comprehension on the concept of a circumcenter and an incenter of triangle and offering the help for teaching-learning process on their definitions. We analysed the characteristic of the definition on a circumcenter and an incenter of triangle and studied the context, mean and purpose on the definition. The definition focusing on the construction is the definition stressed on the consistency of the concept through the fact that it is possible to draw figure of the concept. And this definition is the thing that consider the extend of the concept from triangle to polygon. Meanwhile this definition can be confused because the concept is not connected with the terminology. The definition focusing on the meaning is easy to memorize the concept because the concept is connected with the terminology but is difficult to search for the concept truth. And this definition is the thing that has the grounds on the occurrence but is taught in a made-knowledge. The definition focusing on both the construction and meaning is the definition that the starting point is vague in the logical proof process. We hope that the results are used to improve the understanding the concept of a circumcenter and an incenter of triangle in the field of mathematical education.

• Journal of Korean Home Economics Education Association
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• v.15 no.4
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• pp.115-132
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• 2003

The purpose of this study is aimed at giving proof that helps the elementary practical arts education system accomplish as the effects are turned out experimentally. Two classes of the sixth grade of J elementary school in Dae-gu have been selected in order to be experimented. One was chosen as an experimental group, the other was done as a comparative group. The creative-problem-solving learning-model was applied to the experimental group, and the traditional way of teaching was applied to the comparative group. For four classes of the sixth grades, ‘chapter 8: Making with recycled materials’ was proceeded as the content. Then. tests about the way of environmental awareness and creativity were carried out twice. After that, the results of pre and after-test in the comparative and experiment groups were compared using the t-test method. Following the analysis of the data collected in this study. the following major observations were obtained: First, children who were educated the creative problem-solving in a practical arts education achieved higher scores than before. Therefore, it turns out that the CPS method is an effective way to improve the environmental awareness in children. It showed that it included lots of daily habits connected with daily life and it made the intention to carry out the environment-preservation stronger and children´s attitude towards the environment improved. Moreover, making with recycled materials was used to solve an environmental problem, affecting in a positive way in our life. It also made the positive recognition about the environment. Second. the application of the creative problem-solving class of the practical arts education can make positive results to children. It helped children to have more interest in the environment around them. Children´s fluency, flexibility and originality in their ideas were improved as much as possible while they were solving problems. Consequently, the application of the creative problem-solving class model of elementary practical arts environmental education lets children expand environment consciousness and creativity.