• Education of Primary School Mathematics
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• v.11 no.2
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• pp.105-119
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• 2008

Functional thinking, which focuses on the relationship between two or more varying quantities, is one of the key strands of algebraic thinking. This article is a case study that aimed to investigate how 3rd grade elementary students might make their functional thinking. The results showed that students not only understood the functional situation well but also created a record of the corresponding values of quantities, typically using descriptive writings and pictures. But when they tried to find a pattern and make a generalization, the students showed various difficulties. This paper concludes with implications on how to promote students' functional thinking from early grades in the elementary school.

• Journal of Educational Research in Mathematics
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• v.23 no.3
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• pp.389-406
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• 2013

The purpose of this study is to analyze eighth grade students' errors in the constructed-response items to improve teaching and learning of mathematics in schools. By analyzing 99 students' responses to nine constructed-response items, we found several types of students' errors in their responses to the assessment items involving with mathematical reasoning and representations, problems within realistic contexts, and mathematical connections. Not only a single error but also multiple errors (a combination of two or more types of errors) were discovered. In particular, high achieving students showed more simple errors than multiple errors while low achieving students had more multiple errors in various kinds.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.9 no.7
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• pp.1419-1424
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• 2005

This paper suggests a new cipher mode of operation which can recover cryptographic synchronization. First, we study the typical cipher modes of operation, especially focused on cryptographic synchronization problems. Then, we suggest a statistical cipher-feedback mode of operation. We define the error sources mathmatically and simulate propagation errors caused by a bit insertion or bit deletion. In the simulation, we compare the effects of changing the synchronization pattern length and feedback key length. After that, we analyze the simulation results with the calculated propagation errors. finally. we evaluate the performance of the statistical cipher-feedback mode of operation and recommand the implementation considerations.

• KSCE Journal of Civil and Environmental Engineering Research
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• v.29 no.4D
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• pp.555-561
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• 2009

In lieu of section profile data, a fitting of the bored tunnel shape is more significant confirmation for maintenance of a tunnel. Before the permit on the completion of a tunnel, deformation of the completed tunnel with respect to the design model are considered. And deformation can be produced at continuously along the entire of the tunnel section. This study firstly includes an analysis of algebraic approach and test it with an observed field data. And then a number of methods, line search method, genetic algorithm, and pattern search methods, are compared with the 3D tunnel shape fitting. Algebraic methods can solve a simple circular cylinder type as like a railway tunnel. However, a more complex model (compound circular curve and non circular) as like a highway tunnel has to be solved with soft computing tools in the cause of conditional constraints. The genetic algorithm and pattern search methods are computationally more intensive, but they are more flexible at a complex condition. The line search method is fastest, but it needs a narrow bounds of the initial values.

• Proceedings of the Korea Information Processing Society Conference
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• 2013.05a
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• pp.671-674
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• 2013

단순전력분석(Simple Power Analysis, SPA)은 적은 수의 평문으로 암호 알고리즘에 대한 패턴 뿐만 아니라 비밀키의 정보를 찾는 전력 분석(Power Analysis)의 방법 중 하나이다. SPA의 장점은 차분전력분석(Differential Power Analysis, DPA) 또는 상관전력분석(Correlation Power Analysis, CPA)보다 적은 계산량으로 비밀키 분석을 할 수 있고, DPA 또는 CPA 분석을 하기 위해 필요한 분석위치 탐지에 효율적으로 활용이 되어 진다는 것이다. 하지만 최근 SPA 분석 성능을 저하시키기 위해 클락 노이즈, 전력 노이즈, 딜레이 노이즈 등 다양한 방법들이 제안되어지고 있다. 본 논문에서는 다양한 노이즈가 있는 환경에서 아날로그 수신기를 활용하여 특정 주파수 영역을 필터링한 후 노이즈를 제거하는 방법을 소개한다. 실험을 통해, 아날로그 수신기를 사용하였을 경우에 사용하지 않았을 경우보다 뚜렷한 대칭키 암호의 라운드 함수가 구분되어지며, 라운드 내 함수 구분도 가능함을 보인다. 이는 DPA 또는 CPA를 이용하여 분석을 수행하고자 할 때 분석 위치를 결정하데 아주 유용하게 활용되어지며, 분석 성능향상에도 기여할 것으로 기대되어진다.

• Journal of Educational Research in Mathematics
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• v.16 no.1
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• pp.79-94
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• 2006

The purpose of this study is to find out the characteristics of the types(levels) of justification which are appeared by elementary mathematically gifted students in solving the tasks of plane division and spatial division. Selecting 10 fifth or sixth graders from 3 different groups in terms of mathematical capability and letting them generalize and justify some patterns. This study analyzed their responses and identified their differences in justification strategy. This study shows that mathematically gifted students apply different types of justification, such as inductive, generic or formal justification. Upper and lower groups lie in the different justification types(levels). And mathematically gifted children, especially in the upper group, have the strong desire to justify the rules which they discover, requiring a deductive thinking by themselves. They try to think both deductively and logically, and consider this kind of thought very significant.

• Proceedings of the Korea Water Resources Association Conference
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• 2012.05a
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• pp.479-483
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• 2012

최근 국내외에서 기상이변에 따른 물 부족에 대응하고 먹는 물의 생산과 공급 효율성 향상을 위하여 스마트워터그리드에 대한 연구가 활발히 진행되고 있는 경향으로 이는 상수도 인프라시설의 운영오류, 자연재해, 사이버를 통한 의도적 공격 등에 대해 안전하고 신뢰성이 높은 시스템을 구축하기 위한 것이다. 또한 상수도 분야에서는 스마트 미터링 개념을 도입하여 상수관망에서 발생되는 각종 사고나 물 손실을 저감하기 위한 노력이 시도되고 있는 실정이다. 일반적으로 누수량이 많을 경우에는 누수의 징후가 지표면에서 확인이 가능하나 미세한 경우 탐사장비의 운영이나 인력의 투입을 통해 가능하다. 물 공급계통인 상수관망에서 물 손실을 저감시키기 위한 방법중 하나로서 수도미터로부터 기록되는 물 사용량 데이터를 이용하여 누수패턴을 추출함으로써 누수감시가 가능하도록 하는 모형을 개발하고자 하였다. 이는 탐사장비에 의한 누수감지와 상호 보완적을 활용할 수 있는 것으로서 사용량 자료를 분석하여 사전에 처리된 자료의 노이즈와 결함 있는 계측값을 필터링시키는 기법이 도입된 것이며 신속한 감지를 통해 누수 지속시간을 감소시킴으로서 누수량의 저감을 목표로 한다. 물 공급 네트워크를 보다 더 효율적 만들 수 있는 누수 감시모형은 상수관망의 운영에 필요한 정보를 도출하기 위하여 보다 정확하고 다양한 수학적 및 통계적 분석을 기반으로 구성되어 누수 외에도 각종 결함을 찾아내는 역할을 수행할 수 있다. 향후 다양한 지역을 이러한 수용가의 물 사용량 미터링 결과를 토대로 실제 사용량과 누수량을 분리하여 분석함으로써 국내 실정에 적합한 누수감시 기술배발 토대를 마련할 수 있을 것으로 판단되며, 누수저감을 위한 실질적인 상수관망의 운영관리 효율향상의 정보로서 활용이 가능할 것으로 판단된다.

• Journal of Radiation Protection and Research
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• v.26 no.2
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• pp.79-86
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• 2001

This study presents the quantitative exposure assessment of indoor radon released from groundwater. Most of the Indoor radon comes directly from soil beneath the basement or foundation. Recently, radon in groundwater releases to indoor air whenever the water is used and contributes to the total inhalation risk from indoor air. This study first develops a mathematical model to describe the transfer and distribution of radon released from groundwater in a house. Then, daily human exposures through inhalation or such radon are estimated with the model for an male adult based on two sets of exposure scenarios. The results obtained from the study would help increase the understanding of risk assessment issues associated with the indoor radon released from groundwater.

• Journal of Educational Research in Mathematics
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• v.16 no.4
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• pp.367-386
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• 2006

There are two strands for considering tile relationships between education and technology. One is the viewpoint of 'learning from computers' and the other is that of 'learning with computers'. In this paper, we call mathematics education with computers as 'computers and mathematics education' and this computer environments as microworlds. In this paper, we first suggest theoretical backgrounds ai constructionism, mathematization, and computer interaction. These theoretical backgrounds are related to students, school mathematics and computers, relatively As specific strategies to design a microworld, we consider a physical construction, fuctiionization, and internet interaction. Next we survey the different microworlds such as Logo and Dynamic Geometry System(DGS), and reform each microworlds for mathematical level-up of representation. First, we introduce the concept of action letters and its manipulation for representing turtle actions and recursive patterns in turtle microworld. Also we introduce another algebraic representation for representing DGS relation and consider educational moaning in dynamic geometry microworld. We design an integrating microworld between Logo and DGS. First, we design a same command system and we get together in a microworld. Second, these microworlds interact each other and collaborate to construct and manipulate new objects such as tiles and folding nets.

• Journal of the Korean School Mathematics Society
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• v.19 no.4
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• pp.357-371
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• 2016

The purpose of this study was to decide the task space and Rating Scheme of task difficulty in complicated mathematical modelling situations. One of main objective was also to conform the validation of Rating Scheme to determine the degree of difficulty by comparing the student performance with the statement of the theoretical model. In spring 2014, the experimental setting was in Modelling Course for 38 in-service teachers in mathematics education. In conclusions, we developed the Model of Task Space based on their solution paths in mathematical modelling tasks and Rating Scheme for task difficulty. The Validity of Rating Scheme to determine the degree of task difficulty based on comparing the student performance gave us the meaningful results. Within a modelling task the student performance verifies the degree of difficulty in terms of scoring higher using solution approaches determined as easier and vice versa. Another finding was some relations among three research topics, that is, degree of task difficulty on rating scheme, levels of students performance and numbers of specific heuristic. Those three topics showed the impressive consistence pattern.