• School Mathematics
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• v.18 no.3
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• pp.625-645
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• 2016

This study clarified the big ideas related to teaching addition and subtraction of fractions with different denominators based on quantitative reasoning with unit and recursive partitioning. An analysis of this study urged us to re-consider the content related to the addition and subtraction of fraction. As such, this study analyzed textbooks and teachers' manuals developed from the fourth national mathematics curriculum to the most recent 2009 curriculum. In addition and subtraction of fractions with different denominators, it must be emphasized the followings: three-levels unit structure, fixed whole unit, necessity of common measure and recursive partitioning. An analysis of this study showed that textbooks and teachers' manuals dealt with the fact of maintaining a fixed whole unit only as being implicit. The textbooks described the reason why we need to create a common denominator in connection with the addition of similar fractions. The textbooks displayed a common denominator numerically rather than using a recursive partitioning method. Given this, it is difficult for students to connect the models and algorithms. Building on these results, this study is expected to suggest specific implications which may be taken into account in developing new instructional materials in process.

• 대한정형외과스포츠의학회:학술대회논문집
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• 2001.11a
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• pp.7-8
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• 2001

• Explosives and Blasting
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• v.18 no.3
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• pp.67-76
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• 2000

• The Academic Congress of Korean Shoulder and Elbow Society
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• 2000.03a
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• pp.37-38
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• 2000

• The Academic Congress of Korean Shoulder and Elbow Society
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• 2000.03a
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• pp.60-63
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• 2000

• Proceedings of the Korean Vacuum Society Conference
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• 1999.02a
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• pp.115-116
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• 1999

• Polymer Science and Technology
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• v.13 no.5
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• pp.596-605
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• 2002

• Journal of Digital Convergence
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• v.10 no.9
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• pp.357-362
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• 2012

We have compared and predicted for non-linear time series data which are real data having different variences using GRCA(1) model and neural network method. In particular, using Korea Composite Stock Price Index rate, mean square errors of prediction are obtained in genaralized random coefficient autoregressive model and neural network method. Neural network method prove to be better in short-term forecasting, however GRCA(1) model perform well in long-term forecasting.

• Proceedings of the Korean Information Science Society Conference
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• 2011.06b
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• pp.492-495
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• 2011

그래프 G의 쌍형 다대다 k-서로소민 경로 커버 (k-DPC)는 k개의 서로 다른 소스 정점과 싱크 정점 쌍을 연결하며 그래프에 있는 모든 정점을 지나는 k개의 서로소인 경로 집합을 말한다. 2-차원 $m{\times}n$ 토러스는 길이가 각각 m과 n인 두 사이클 $C_m$과 $C_n$의 곱으로 정의되는 그래프이다. 이 논문에서는 고장 정접이나 에지가 하나인 $m{\times}n$ 이분 토러스(짝수 m,n ${\geq}$4)에는, 정점 고장이 있고 소스나 싱크 중에 고장 정점과 같은 색을 가진 정점이 오직 하나 존재하거나 혹은 정점 고장이 없고 에지 고장이 하나 존재하면서 둘은 흰색 정점이고 둘은 검정색 정점이면 항상 두 소스-싱크 쌍을 잇는 쌍형 다대다 2-DPC가 존재 힘을 보인다.

• The Korean Journal of Applied Statistics
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• v.23 no.4
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• pp.683-692
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• 2010

This short article is concerned with a categorical time series obtained after clipping a heteroscedastic GARCH process. Estimation methods are discussed for the model parameters appearing both in the original process and in the resulting binary time series from a clipping (cf. Zhen and Basawa, 2009). Assuming AR-GARCH model for heteroscedastic time series, three data sets from Korean stock market are analyzed and illustrated with applications to calculating certain probabilities associated with the AR-GARCH process.