• International Journal of Reliability and Applications
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• v.8 no.1
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• pp.27-39
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• 2007

Based on goodness of fit new testing procedures are derived for testing exponentiality against harmonic new renewal better than used in expectation (HNRBUE). For this aging properties, a nonparametric procedure (U-statistic) is proposed. The percentiles of this test statistic are tabulated for sample sizes n=5(1)30(10)50. The Pitman asymptotic efficiency (PAE) of the test is calculated and compared with, the (PAE) of the test for new renewal better than used (NRBU) class of life distribution [see Mahmoud et al (2003)]. The power of this test is also calculated for some commonly used life distributions in reliability. The right censored data case is also studied. Finally, real examples are given to elucidate the use of the proposed test statistic in the reliability analysis.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 2002.12a
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• pp.33-36
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• 2002

최근 수학구조 및 교수-학습과 관련된 연구에 지식공간 이론을 응용하고자하는 논문들이 많이 나오고 있다. 실제로 유의미 학습과 관련된 수행평가와 수학문제를 푸는 능력에 관한 평가를 연구하는데 지식구조가 응용되고 있지만 이를 활용하는데는 많은 애로사항이 있으며 이를 보완하기 위한 여러 가지 방법이 연구되어오고 있다. 특히, Schrepp교수는 스피드문제의 경우로 제한하여 지식공간론을 응용한 일반화된 수학구조의 연구방법을 제시하였다. 본 논문에서는 주관적 지식의 평가를 하게되는 수학구조 및 공간에 관한 연구를 하는데 효과적으로 응용될 수 있는 퍼지지식공간론에 관한 전반적인 기초 이론을 정의하고 그 성질들을 연구하고자한다.

• The Pure and Applied Mathematics
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• v.10 no.2
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• pp.133-144
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• 2003

The aim of this paper is to prove some common fixed point theorems for the class of compatible maps to larger class of weakly compatible maps without appeal to continuity in Monger spaces and we also give a set of alternative conditions in place of completeness of the space. We improve and extend the results of Dedeic & Sarapa ［A common fixed point theorem for three mappings on Monger spaces. Math. Japon. 34 (1989), no. 6,919-923］ and Rashwan & Hedar ［On common fixed point theorems of compatible mappings in Monger spaces. Demonstratio Math. 31 (1998), no. 3, 537-546］.

• The Mathematical Education
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• v.48 no.4
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• pp.387-398
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• 2009

In this paper, we investigated the influence of technology, which gave an impact on students through the process of teaching & learning for the proof of an additive law of sine function in the mathematics education for the gifted. We chose students who were taking a course in enrichment mathematics at Science Education Institute for the Gifted in Mokpo National University, and analyzed their processes of a mathematical inference or conjecture, an algebraic description and a proof by visualization using technology. We found the following facts. That is, the visualization using technology is helpful to the gifted students in understanding principles and concepts of mathematics by intuition. Also, it is helpful to ones verifying various cases and generalizing principles. But, using technology can be a factor that disturbs learning of students who are clumsy with operating technology.

• East Asian mathematical journal
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• v.39 no.2
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• pp.93-117
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• 2023

The aim of this study is to explore the pre-service math teachers' characteristics of education to develop their AI literacy and SW competency, and to derive some implications. We conducted a 14-hours AI and SW education program for pre-service teachers with theory and practice, and an analysis on class observation data, video frames of classes and interview, Python programming assignments and papers. The results of this case study for 3 pre-service teachers are as follows. First, two students understood artificial neural network and deep learning system accurately, furthermore, all students conducted a couple of explorations related with performance improvement of deep learning system with interest. Second, coding and exploration activities using Python improved students' computational thinking as well as SW competency, which help them give convergence education in the future. Third, they responded positively to the necessity of AI literacy and SW competency development, and to applying coding to math class. Lastly, it's necessary to endeavor to give a coding education to the student's eye level according to his or her prerequisite and to ease the burden of student's studying AI technology.

• East Asian mathematical journal
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• v.14 no.1
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• pp.15-20
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• 1998

Obtained the conditions for the product UV of two fuzzy subgroups U and V to be a fuzzy subgroup. Moreover, given an example of two fuzzy subgroups U and V which their product UV does not intersect neither U nor V.

• Journal of Scientific & Technological Knowledge Infrastructure
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• s.6
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• pp.42-57
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• 2001

XML을 사용하여 수학식을 표현하는데 사용되는 MathML에 대해 설명하고, 화학식을 표현하는데 사용되는 CML, 염기서열등의 분자 생물학적 정보를 표현하는데 사용되는 BSML과 BIOML에 대해 설명하고자 한다.

• Journal of The Korean Association For Science Education
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• v.34 no.8
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• pp.779-786
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• 2014

Elementary children, hoping for jobs in science/engineering(Sci/Eng) or medicine(Med), were surveyed on the reasons for jobs, science/math preferences, interests in science, and science aspirations. For 3rd grade boys, twice more students picked Sci/Eng than Med choices. However, for 6th grade boys, the numbers of Sci/Eng and Med became close. The ratios of girls with Sci/Eng in 3rd and 6th grade did not differ much. The 6th graders chosing Med was 1.4 times bigger than 3rd graders for both boys and girls. For students with Sci/Eng, the most important reason for a job was that he/she liked it. For Med, helping others was as much important as doing what he/she liked. Science preference were the highest in the Sci/Eng group. The Med group came next with the non-science group being last. Math preferences were lower than the science preferences. Therefore, children need to be guided to increase the preferences for math as well as for science to keep the Sci/Eng and Med career choices. The interests in science and the science aspirations show similar patterns. The 3rd graders showed higher value than the 6th graders, the boys higher than girls, and the Sci/Eng group highest, the Med the second and non-science group the last. Science aspirations were higher than the interests only for the Sci/Eng group, while it was lower than the interests in all other groups. This implies that science aspirations might have bigger influence on getting a career in Sci/Eng than interest does.

• Communications of Mathematical Education
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• v.25 no.3
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• pp.497-524
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• 2011

This study was to understand students' learning about the function of math combined with molecular motions of science using the block scheduling. It was based on the revised Class Structure Model of Lee et al.(2010) where MBL as a tool was used to increase students' participation and understanding in the integrated concepts. The researcher provided the 6th grade students who lived in Sung Nam-Si, Kyung Gi-Do with 8 unit lessons, consisting of 5 stages of CSM. As a result of the study, the integrated education of Mathematics and Science showed synergic effect in studying both subjects and brought a positive result in gradual mathematization. It may be hard to combine all the contents of mathematics and science together. However, learning the relation between volume and pressure, and between volume and temperature of gas used as an example of function shown in our daily life was appropriate through Fogarty's integrated education model because it supported the objective of both subjects. Also, it was a good idea to develop CSM because it was composed of the contents from both subjects held in the same period of a year. Through the five stages, students were able to establish and generalize the definitions and the concepts of function.

• East Asian mathematical journal
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• v.34 no.4
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• pp.511-536
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• 2018

There is currently a growing need to nurture creative and convergent talent in the face of the fourth Industrial Revolution. Developing such talent requires interdisciplinary convergent education across the science, engineering, humanities, social studies, and arts disciplines. Such interdisciplinary convergence could cultivate humanities and social knowledge and qualities along with scientific expertise. In Korea, there are currently six science schools for the gifted that aim to discover and nurture science, technology, engineering, and mathematics (STEM) researchers from an early stage, and two science and art schools for the gifted that aim to cultivate new talent combining students' scientific and artistic qualities. These schools establish and follow curriculums that are suited to achieving the education objectives guaranteed by the Gifted Education Promotion Act and its Enforcement Decrees. This study compares the curriculums and curriculum tables of the science schools for the gifted to those of the science and art schools for the gifted to evaluate their methods of operation and performance. Additionally, it determines which curriculums provide an opportunity for students to nurture convergent thinking, and discusses how suitable curriculums could be implemented to develop convergent thinking.