• Honam Mathematical Journal
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• v.1 no.1
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• pp.27-34
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• 1979

근래(近來) Skorokhod는 확률론(確率論)의 극한문제(極限問題)와 관련(關聯)하여 모든 불연속함수공간(不連續函數空間)에 관(關)한 위상(位相)을 정의(定義)하였다. 본(本) 논문(論文)에서는 Skorokhod 수렴위상(收斂位相)을 쌍위상(雙位相)(bitopology)형(型)으로 일반화(一般化)하고 잘 알려져 있는 여러위상(位相)과 비교(比較)하여 다음과 같은 결과(結果)를 새로 얻었다. (정리(定理) 2-11); 공간(空間) X와 Y가 완비준거이가분공간(完備準距離可分空間) (Completdy quasi-metric separable space)이라면 쌍개수렴위상(雙槪收斂位相)(pairwise almost convergent topology)는 Skorokhod 쌍수렴위상(雙收斂位相) 보다 약(弱)하다. 그리고 (정리(定理) 2-12); 쌍(雙) graph 위상(位相)은 Skorokhod $J_1$-수렴위상(收斂位相)과 일치(一致)한다. 끝으로 주정리(主定理)인 (정리(定理( 3-1)과 (정리(定理) 3-2)에서 Skorokhod 쌍수렴위상(雙收斂位相)의 Compact성(性)에 관(關)한 필요충분조건(必要充分條件)을 밝혔다.

• Journal of Korea Water Resources Association
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• v.31 no.5
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• pp.613-620
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• 1998

Field and laboratory studies of the near field behavior of the San Francisco ocean outfall were reported. The data sets cover broad ranges of discharge conditions and oceanic conditions, and are associated with a typical type of outfall discharges with multiport diffusers. The laboratory data sets were obtained in density-stratified towing tanks to replicate the field tests. Model studies of wastefield behavior using these data sets were predicted by the mathematical models UM, UDKHDEN, RSB, and CORMIX2 for minimum dilution, the height to top of wastefield, and wastefield thickness. In this paper, the results are discussed and compared measurements with mathematical model predictions. The hydraulic model studies reproduced the major features observed in the field. It also afforded considerable insight into the mechanics of mixing of multiport risers which could have been obtained neither from the field test nor the mathematical models.

• School Mathematics
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• v.11 no.2
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• pp.281-299
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• 2009

In this paper, we show how dynamic manipulation environments can be integrated in the mathematics curriculum by presenting some pedagogical tasks manufactured by dynamic manipulation. These examples are composed to produce meaningful definitions through inductive experiments, to strengthen the thinking ability on continuity through the visualization, to make mathematics through investigation and finding, and to strengthen the ability of posing and generalizing problems. Through these examples students can observe the process of how mathematics is being invented, and they can experience how to solve mathematical problems using physical experiments in dynamic manipulation environments. When integration of dynamic manipulation into the teaching and learning of mathematics is applied, some difficulties can come out. To resolve such difficulties, a teacher must play the role of a co-worker of students in addition to the role of a scaffolder, coach, or close listener.

• Journal of Educational Research in Mathematics
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• v.25 no.4
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• pp.549-569
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• 2015

Reflecting on own beliefs about teaching and learning, developed during "the apprenticeship of observation", is a central task for pre-service years. This case study analysed a lesson observation course which could identify, challenge pre-service teachers' folk pedagogy about classroom communications and induce to change of beliefs about teaching and learning. Our analysis shows that targeting and refuting pre-service teachers' specific belief may be an effective strategy for teacher educators to foster new teaching practice.

• The Science & Technology
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• v.28 no.6 s.313
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• pp.24-25
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• 1995

근대 물리학의 아버지로 불리는 아이작 뉴턴은 「프린키피아」에 만유인력의 법칙을 발표 근대과학의 새로운 우주관을 완성했다. 또한 뉴턴은 스팩트럼,미적분의 발견 등 수학에도 큰 업적을 암긴 것으로 유명하다

• Korean Journal of Logic
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• v.11 no.1
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• pp.33-65
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• 2008

최근에 양은석은 "비트겐슈타인과 초일관성: 비트겐슈타인의 반실재론"에서 모순에 대한 비트겐슈타인의 견해에 대해 매우 주목할 만한 주장을 하였다. 그에 따르면, 비트겐슈타인은 약한 의미의 초일관주의자로 간주될 수 있다. 이 글에서는 이러한 양은석의 주장이 설득력 없는 것임을 보이고자 한다. 또한 비트겐슈타인이 논리학과 수학, 그리고 모순을 어떻게 바라보았는지를 가능한 한 공정하게 조명하고자 한다. 여러 학자들은 모순에 대한 비트겐슈타인의 생각이 대단히 특이한 것이라고 간주하였고, 더 나아가 마치 어떤 중대한 오류를 포함하는 것처럼 평가하였다. 그러나 이제 이러한 평가는 더 이상 유효하지 않다. 모순과 관련된 비트겐슈타인의 생각은 더 이상 특이하지 않다. 왜냐하면 그의 생각은 옳기 때문이다.

• Proceedings of the Korea Water Resources Association Conference
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• 1989.07a
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• pp.133-143
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• 1989

An analytical equation was formulated using the continuity, momentum, and energy equatoins for the trensients generated in an initially empty piping with a sudden contraction subject to rapid filling with liquid. Also, two mathmatical models, "MOC" and "RCT", were applied to this particular pipping to reveal that the rigid column method is less applicable than the method of characteristics to the piping.

• Journal of Science Education
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• v.34 no.1
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• pp.1-11
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• 2010

This study analyzes the factors influencing academic achievement on mathematic and scientific subject and its change in Korean youth by using a sample from KYPS(Korea Youth Panel Survey) data. The results are as follows: First, academic achievement on mathematic and scientific subject of Korean youth shows quadratic curve that their interrelationship between intercept and slope of academic achievement are negative which is statistically significant. Second, analysis of Latent Growth Models shows that parents, teacher, peer group, self esteem, income of family, high school tracks are found to be a statistically significant factor on mathematic. And scientific subject is affected by parents, teacher, peer group, self esteem, income of family, high school tracks. Also, Interesting finding is that father's job is not significant to dependent variables. These findings show that academic achievement on mathematic and scientific subject of the Korean youth are the quadratic curve and influenced by parents, teacher, peer group, self esteem, income of family, high school tracks. To improve youth's mathematic and scientific, Korea educational fields and educators should have policy to care youth's relationship with parents, teachers and self esteem.

• Journal of the Korean School Mathematics Society
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• v.15 no.1
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• pp.1-25
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• 2012

The purpose of this study is to extract the conceptual nature of contextualization in mathematical problems and to analyze problems according to its conceptual framework based on the perspective of RME (Realistic Mathematical Education) which emphasizes mathematising through realistic context in mathematics textbooks of the 4th grade in Korean textbooks and the U. S. materials. "Contextualization" was analyzed by three elements such as everydayness, variety, and mathematical immanence. As results, Korean textbook showed much less in the amount of contextual problems and also represented lower contextualization in contextual problems than that of American textbooks.

• Journal for History of Mathematics
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• v.31 no.5
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• pp.223-234
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• 2018

Ancient Chinese mathematics education has a long history of more than 3,000 years, and many excellent mathematicians have been fostered. However, the systematic framework for teaching mathematics should be considered to be started from the Zhou Dynasty. In this paper, we examined the educational goals, trainees(learners), providers(educators), and contents in mathematics education in the ancient Chinese Zhou Han Dynasty, Tang Dynasty and Song Dynasty.