• Journal of Elementary Mathematics Education in Korea
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• v.23 no.3
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• pp.323-345
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• 2019

This study examines the introduction of fractions in the third grade mathematics textbooks focusing on stages of units coordination and suggests alternative activities to help students develop their understanding of fractions. As results, the sessions of introduction units in textbooks was well organized to allow students to construct more extensive fraction schemes (i.e., Part-whole fraction scheme → Partitive unit fraction scheme → Partitive fraction scheme). However, most of the activities in textbooks were related to stages 1 and 2 of units coordination. In particular, the operations and partitioning schemes (i.e., equi-partitioning and splitting schemes), which are key to the development of students' fraction knowledge, were not explicitly revealed. Fraction schemes also did not extend to the Iterative fraction scheme, which is central to the construction of improper fractions. Based on these results, this study is expected to provide implications for the introduction of fractions in textbooks focusing on stages of units coordination to teachers and textbook developers.

• The Mathematical Education
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• v.61 no.3
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• pp.441-456
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• 2022

The purpose of the current study is to report a part of our larger project whose focus is to understand a relationship between students' units coordination and K-12 school mathematics. In particular, in this paper we report how students who exhibit distinct levels of units coordinations used their knowledge of proportion to solve quadratic function problems of the form y = ax². To this end, three 7th grade students all of whom assimiliated whole number problem situations with three levels of units but showed different levels for fraction problems were chosen. We carried out clinical interviews not only to understand their ability to coordinate units but to understand their problem solving process of proportion and the quadratic function problems. The analysis suggest that their abilities to coordinate units influenced their ways to solving proportion problems, and in turn influenced their ways to solve the specific form of quadratic functions. We have finalized our study by discussing how students' ability to construct and coordinate units, their proportion knowledge, and their knowledge associated with expressing the specific type of quadractic functions could be related.

• The Mathematical Education
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• v.61 no.1
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• pp.1-28
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• 2022

The purpose of this study is to explore how students' fractional knowledge is related to their solving of proportion problems. To this end, 28 clinical interviews with four middle-grade students, each lasting about 30~50 minutes, were carried out from May 2021 to August 2021. The present study focuses on two 7th grade students who exhibited their ability to coordinate three levels of units prior to solving whole number problems. Although the students showed interiorization of three levels of units in solving whole number problems, how they coordinated three levels of units were different in solving proportion problems depending on whether the problems required reasoning with whole numbers or fractions. The students could coordinate three levels of units prior to solving the problems involving whole numbers, they coordinated three levels of units in activity for the problems involving fractions. In particular, the ways the two students employed partitioning operations and how they coordinated quantitative unit structures were different in solving proportion problems involving improper fractions. The study contributes to the field by adding empirical data corroborating the hypotheses that students' ability to transform one three levels of units structure into another one may not only be related to their interiorization of recursive partitioning operations, but it is an important foundation for their construction of splitting operations for composite units.

• Proceedings of the Korean Statistical Society Conference
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• 2002.05a
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• pp.13-18
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• 2002

이중추출(two-phase)접근방법 이용의 주목적은 관심변수와 보조변수사이의 관계를 이용해서 더 좋은 추정을 하고자 하는 것이다. 특히 이 방법은 층화, 무응답 문제에 적용하는 경우 상당히 효과적이다. 본 논문에서는 무시할 수 있는 무응답이 발생했을 때 이중추출기법을 이용해서 g-가중치와 응답확률을 각 단계별로 조정해줌으로써 무응답 보정추정량과 분산추정량을 구했다.

• Proceedings of the Korean Information Science Society Conference
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• 2006.06d
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• pp.304-306
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• 2006

본 논문은 16비트 칼라 LCD 디스플레이 장치를 갖는 휴대용 단말기에 영상을 이용한 그래픽 사용자 인터페이스(Graphic User Interface : GUI)를 제공함에 있어 단말기의 저장 공간을 효율적으로 사용하기 위하여 대부분 비손실 영상 압축 기법을 사용하는데, 이들 압축 기법의 압축 효과를 높이기 위한 전처리 과정 방법에 대하여 기술한다. 전처리 과정은 일반적인 칼라 영상의 각 8비트로 구성된 R, G, B 컴포넌트를 16비트로 구성된 RGB 비트 수에 맞도록 원 영상의 칼라를 조정, 16비트로 축소된 칼라 영상에서 사용된 칼라 수를 계산하는 단계 칼라 수가 사용자가 입력한 칼라수의 임계값 보다 작은 경우 인덱스 칼라 이미지를 만드는 단계, 인덱스화된 영상과 칼라 수가 임계값 보다 큰 경우 16비트 칼라 영상을 대상으로 영상을 겹치지 않게 분할하는 단계 분할된 영상의 각 블록 단위로 Run의 평균 개수가 가장 많은 스캐닝 방법을 결정하는 단계 그리고 스케닝 순서에 따른 기존의 비손실 압축 기법을 적용의 순으로 이루어진다. 본 논문에서 기술한 전처리 단계를 거친 영상을 JPEG-LS에 적용하였을 경우 동일한 영상에서 약 $10{\sim}20%$의 압축 효율을 얻을 수 있었다.

• Journal of Korea Game Society
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• v.8 no.3
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• pp.61-68
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• 2008

Quadtree-based terrain visualization methods have been used in a lot of applications. However, because most procedures are performed on the CPU, the rendering speed is slow in comparison to methods using GPU. In this paper, we present a quadtree-based terrain visualization method working on the GPU with specially designed data structure, error-texture and LOD-texture, and block-based acceleration method. In preprocessing step, we calculate errors in world space and store them to error-texture. In rendering step, we examine projected errors of error-texture and choose the detail level, then store the projected errors to LOD-texture. View frustum culling is performed as block unit using the values of error-texture and LOD-texture. This method reduces CPU load and performs time consuming jobs such as LOD selection and view frustum culling.

• Journal of the Korean Association of Geographic Information Studies
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• v.17 no.1
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• pp.50-60
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• 2014

The purpose of this study is to identify characteristics and improvements of the climate change vulnerability analysis methods to build a safe city from disasters. For this, an empirical analysis on sea level rise disasters was performed focusing on Heaundae-gu in Busan. For the analysis, Census output areas and Dongs were set as analysis unit and their disaster vulnerability was analyzed. Improvements were reviewed through the comparison and review of analysis process and results. According to analysis results, Modifiable Areal Unit Problem(MAUP) which gives different results according to aggregate unit occurs. Improvements were induced by analysis process, and it was found that in spatial unit setting stage that becomes the base of analysis, analysis unit adjustment, score computation method adjustment, and clearer analysis method for each disaster type would be needed. In analysis execution stage, it was thought that weighting according to variables, diversification of variables, and exclusion of subjective analysis selection method would be needed. It is expected that accurate the total disaster vulnerability analysis will be the base for the improvement of efficiency in urban resilience responding to future weather changes.

• Journal of the Institute of Electronics and Information Engineers
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• v.52 no.11
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• pp.36-43
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• 2015

A pixel-level readout circuit is studied for 2-dimensional microbolometer focal plane arrays (FPAs). A current mirroring injection (CMI) input circuit with 2-step current-mode bias suppression is proposed for a pixel-level architecture with high responsivity and long integration time. The proposed circuit has been designed using a $0.35-{\mu}m$ 2-poly 4-metal CMOS process for a $320{\times}240$ microbolometer array with a pixel size of $50{\mu}m{\times}50{\mu}m$. The proposed 2-step bias-current suppression has sufficiently low calibration error with wide calibration range, and the calibration range and error can be easily optimized by controlling some design parameters. Due to high responsivity and a long integration time of more than 1 ms, the noise equivalent temperature difference (NETD) of the proposed circuit can be improved to 26 mK, which is much better than that of the conventional circuits, 67 mK.

• Proceedings of the Korea Water Resources Association Conference
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• 2007.05a
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• pp.1573-1577
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• 2007

SWAT 모형을 사용하여 수문 및 환경인자들의 예측에 있어서 수문응답단위(Hydrological Response Unit, HRU) 수를 적절하게 결정하는 것은 매우 중요하다. SWAT 모형에서는 수문응답단위라는 계산단위를 통하여 모형의 입력매개변수를 생성하고 모의를 수행하기 때문이다. 본 연구에서는 SWAT모형에서 하천유역의 적절한 HRU 수를 결정하기 위하여 대상유역을 낙동강의 제 1지류이자 국제수문개발계획(International Hydrologic Project, IHP)의 국내 대표유역 중 하나인 위천유역으로 선정하였으며, 토지이용과 토양의 면적비를 조정함으로써 HRU 수를 여러 단계로 적용하여 유출량, 유사량 및 영양염류를 모의하였다. SWAT 모형의 적용을 위하여 위천 유역의 $DEM(30m{\times}30m)$, 토지이용도(1:25,000), 토양도(1:25,000) 등의 GIS 자료와 강우량 및 기상자료를 이용하였다. 본 논문은 위천 유역에 대한 적절한 HRU 수의 기준을 제시하였으며, 이와 같은 분석결과를 이용하여 모형의 입력자료 구축시간을 단축할 수 있어 차후 모형의 적용시에 모형의 적용 효율을 높일 수 있을 것으로 판단된다.

• The Korean Journal of Applied Statistics
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• v.34 no.3
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• pp.427-438
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• 2021

Two-stage sampling allows us to estimate population characteristics by both unit and cluster level together. Given a complex auxiliary information, integrated calibration weighting would better reflect the level-wise characteristics as well as multivariate characteristics between levels. This paper explored the integrated calibration weighting methods by Estevao and Särndal (2006) and Kim (2019) through a simulation study, where the efficiency of those weighting methods was compared using an artificial population data. Two weighting methods among others are shown efficient: single step calibration at the unit level with stacked individualized auxiliary information and iterative integrated calibration at each level. Under both methods, cluster calibrated weights are defined as the average of the calibrated weights of the unit(s) within cluster. Both were very good in terms of the goodness-of-fit of estimating the population totals of mutual auxiliary information between clusters and units, and showed small relative bias and relative mean square root errors for estimating the population totals of survey variables that are not included in calibration adjustments.