• Communications of Mathematical Education
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• v.15
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• pp.189-194
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• 2003

급격하게 변하고 있는 이 사회에 맞춰 수학이 변하고 있다. 이에 따라 학교 수학에서의 증명지도가 변해야할 필요성이 있다. 본 연구에서는 기존의 증명 개념을 아우르는 보다 포괄적인 개념으로써 정당화를 소개하고 정당화 지도 방안을 제안한다. 또, 기존의 형식적이고 엄밀한 연역적 증명과 정당화가 어떻게 다른지 비교해 보고 실제 수업하는데 도움을 줄 수 있도록 활용 방안을 간단하게 제시하고자 한다.

• Journal of the Korean Society for Aviation and Aeronautics
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• v.5 no.1
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• pp.17-30
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• 1997

FIight Test procedures are studied from FAR 23, AC 23-8, and Order 8110.7. We have been studied the main procedures for the type certification of light airplane from the experiences of Chang Gong 91. This study is intended as a reference for small airplane manufacturers, engineers, flight test engineers, and engineering flight test pilots, including government personnel. This study covers flight test items of interest during type certification. These methods and procedures are promulgated, in the interest of standardization, for use during normal category airplane flight test certification activities.

• Journal of Aerospace System Engineering
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• v.14 no.1
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• pp.44-53
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• 2020

In conjunction with the Fourth Industrial Revolution, the unmanned aerial vehicle industry is being developed to a new paradigm by combining advanced technologies such as AI, Big Data and the IoT. Aeronautical developed countries such as the U.S. are focusing their efforts on the development of the safer unmanned aerial vehicles. The Korea Aerospace Research Institute, as part of the national R&D project in 2011, had succeeded in developing the first vertical takeoff and landing (VTOL) UAS, called Smart-UAV. However, although the development technology of the VTOL UAS is possessed, developing and operating of the VTOL UAS for commercial or military use are limited. The type certification procedure of the VTOL UAS developed by domestic technology is stipulated in the Korean Aviation Safety Act, but the Korean VTOL UAS airworthiness standards (KAS) hsve not been established. Thus, this study investigated the development trends of the VTOL UAS in Korea and abroad and national certification systems and procedures, and benchmarked the special conditions for the VTOL aircraft, announced by the EASA on July 2, 2019, to establish standards for type certificate of the VTOL UAS in Korea.

• Journal for History of Mathematics
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• v.24 no.3
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• pp.37-58
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• 2011

The development of recent Mathematical Logic is mostly originated in Hilbert's Proof Theory. The purpose of the plan so called Hilbert's Program lies in the formalization of mathematics by formal axiomatic method, rescuing classical mathematics by means of verifying completeness and consistency of the formal system and solidifying the foundations of mathematics. In 1931, the completeness encounters crisis by the existence of undecidable proposition through the 1st Theorem of G?del, and the establishment of consistency faces a risk of invalidation by the 2nd Theorem. However, relative of partial realization of Hilbert's Program still exists as a fruitful research program. We have tried to bring into relief through Curry-Howard Correspondence the fact that Hilbert's program serves as source of power for the growth of mathematical constructivism today. That proof in natural deduction is in truth equivalent to computer program has allowed the formalization of mathematics to be seen in new light. In other words, Hilbert's program conforms best to the concept of algorithm, the central idea in computer science.

• School Mathematics
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• v.14 no.3
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• pp.297-313
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• 2012

The purpose of this paper is to discuss the potential and to examine the effect of narrative, as an alternative approach to teach formal proof in more easier and comprehensible way. Identifying the key elements of narrative in proof, we constructed a narrative that derives the equation of function translation. We examined the effect of teaching through the narrative, in comparison with teaching the corresponding proof, on low-achieving students' instrumental understanding and relational understanding of function translation. Since we found no statistically significant differences between the experimental and the comparison group, this study could not conclude that teaching through the narrative was more effective than teaching the corresponding proof. But there were some qualitative differences in the relational understanding responses and the evaluation of the teaching between two groups. These findings suggested some potential of narratives that complement the formal proof.

• Journal of the Korean School Mathematics Society
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• v.8 no.1
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• pp.101-116
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• 2005

The purpose of this study is to survey mathematics teacher's cognition of proof along with their proof forms of expression and proof ability, and to explore the relationship between their proof scheme and teaching practice. This study shows that mathematics teachers tend to regard proof as a deduction from assumption to conclusion and that they prefer formal proof with mathematical symbols. Mathematics teachers also recognize that prof is an important area in school mathematics but they reveal poor understanding of teaching methods of proof. Teachers tend to depend on the proof style employed in mathematics textbooks. This study demonstrates that a proof scheme is a major factor of determining the teaching method of proof.

• Journal of the Korean Society for Aviation and Aeronautics
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• v.10 no.1
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• pp.95-105
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• 2002

• Journal of Educational Research in Mathematics
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• v.27 no.2
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• pp.191-205
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• 2017

The purpose of this study is to investigate the types and characteristics of the Seventh Graders' proofs. Harel, & Sowder's proof schemes were used to analyze the subjects' responses. As a result of the study, there was a difference in the type of proof schemes used by the students depending on the academic achievement level. While the proportion of students using a transformative proof scheme decreased from the top to the bottom, the proportion of students using inductive (measure) proof scheme increased. In addition, features of each type of proof schemes were shown, such as using informal codes in the proof process, and dividing a given picture into a specific ratio in the problem. Based on this, we extracted four meaningful conclusions and discussed implications for proof teaching and learning.

• Journal of the Korea Society of Computer and Information
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• v.27 no.7
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• pp.35-48
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• 2022

In this study, it propose a proof theory method for expressing and reasoning knowledge in a multiagent environment. Since this method determines logical results in a mechanical way, it has developed as a core field from early AI research. However, since the proposition cannot always be proved in any set of closed sentences, in order for the logical result to be determinable, the range of expression is limited to the sentence in the form of a clause. In addition, the resolution principle, a simple and strong reasoning rule applicable only to clause-type sentences, is applied. Also, since the proof theory can be expressed as a meta predicate, it can be extended to the metalogic of the proof theory. Metalogic can be superior in terms of practicality and efficiency based on improved expressive power over epistemic logic of model theory. To prove this, the semantic method of epistemic logic and the metalogic method of proof theory are applied to the Muddy Children problem, respectively. As a result, it prove that the method of expressing and reasoning knowledge and common knowledge using metalogic in a cooperative multiagent environment is more efficient.

• Proceedings of the Korean Society for Information Management Conference
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• 1999.08a
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• pp.123-128
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• 1999

최근 급속히 발달한 인터넷을 통해 단순한 전자우편뿐만 아니라 학술 논문, 저작물 및 보고서, 계약서 등 실제 물리적인 문서를 표현하는 전자문서의 교환이 빈번하게 이루어지고 있다. 본 연구에서는 현재 사용되고 있는 전자문서 형식들인 가지고 있는 특성과 장단점을 비교 연구하였다. 우선 문서교환을 목적으로 하는 전자문서 형식이 가져야 할 특성으로 범용성, 신속성, 장치 독립성, 간결성, 확장성 등을 제시하고 이를 기준으로 현재 사용되거나 제안되고 있는 전자문서 형식들을 평가하였다. 특히 DVI, HTML, XML, SGML. PDF, Postscript 등의 문서 형식들을 대상으로 조사하고 평가하였다. 그 결과 연군개발정보센터에서 사용 중인 DVI 문서 형식이 한글 문서를 인터넷 상에 구현하는 가장 효율적인 방법 가운데 하나임이 증명되었다.