• Education of Primary School Mathematics
• /
• v.19 no.4
• /
• pp.277-289
• /
• 2016

Fraction is one of the concepts which are difficult to elementary school students. So, many researches about fraction were performed in mathematics education research. In special, fraction has so many subordinative concepts-proper fraction, improper fraction, mixed number. We have to concentrate on the conceptual understanding in teaching of fraction. In this case, a mixed number and improper fraction are concepts which can convert respectively. And there are methods that a mixed number and improper fraction can be converted. So, it's needed to analyze the converting methods in textbooks for getting the implication of teaching in this areas. In this study, I analyzed the Korean and foreign's textbooks. I certified the methods-using addition expression, using part-whole model in the textbooks. For the conceptual understanding, I suggested to use the fusion of the various part-whole fraction models and addition expression more than the algorithm in converting between a mixed number and improper fraction. It's reason that the use of models in converting between a mixed number and improper fraction is important for the relational understanding.

• Journal of the Korean Geographical Society
• /
• v.40 no.3 s.108
• /
• pp.253-273
• /
• 2005

In recent years, there are strong social demands to characterize the spatial distribution of mountains in Korea. This study aims to develop a 'Sanjulgi-Jido(mountain ridge map)' that might be used not only to satisfy these social demands but also to effectively present the spatial distribution of mountains and drainage basins in the Korean Peninsular. The 'Sanjulgi-Jido' developed in this study is a map that presents the continuity of mountains based on the drainage divides that are delineated by a pre-defined drainage basin size and elevation. This study first validated the Bakdudaegan system through the analyses of a digital elevation model. The Bakdudaegan system has long been recognized as the Koreans traditional conceptual framework to characterize the spatial distribution of mountains. The analyses showed that the Bakdudaegan system has several problems to represent the mountain systems in Korea, which includes 1) the lack of the representativeness of drainage basins, 2) inaccuracy to depict the boundary of drainage basins, 3) the lack of representativeness of mountains, and 4) geo-polical issue that confines the spatial extent of mountain systems within the Korean Peninsular. In order to represent the mountains system in a more quantitative manner, we applied several terrain analysis techniques to understand the spatial distribution of mountains and drainage basins. Based on these analyses, we developed an hierarchical system to classify the continuity (If mountains, which are presented as the spatial distribution of drainage divides with a certain elevation. The first-order Sanjulgi is the drainage divides whose drainage basin are bigger than $5,000km^2$ and the point elevation is above 100m. The next order Sanjulgi is delineated as the size of drainage basin is successively divided by two. This kind of design is able to provide a logical framework to present the mountain systems at different details, depending on the purpose and scale of maps. We also provide several empirical functions to calculate various geomorphological indices for each order of Sanjulgi. The 'Sanjulgi Jido' is similar with the Bakdudaegan system, since it characterizes the continuity of mountains based on the spatial distribution of the drainage divide. It, however, has more scientific criteria to define the scale and continuity of mountains. It should be also noted that the 'Sanjulgi Jido' proposed has different logical and methodological background, compared with the mountain range map that explains the genesis of mountain systems in addition to the continuity of mountains.

• The Journal of Korean Philosophical History
• /
• no.54
• /
• pp.77-113
• /
• 2017

In late Chosen(朝鮮), the concept of illustrious virtue(明德) became an important issue of debate. However, previous studies did not focus on how the concept emerged as an issue. This paper aimed to explore the problem, and for this purpose, paid attention to Horak(湖洛) debate. Oiam(巍巖) Yi Gan(李柬), in the course of discussion with Namdang(南塘), finally argued that mind(心) clearly distinguishes from temperament(氣質). The goals of the claim were to clearly divide mind and temperament, and to emphasize mind's control of temperament. Through this, he wanted to reject the possibility of being affected by temperament in aroused state(未發). And he presented the concept of illustrious virtue as a critical evidence supporting his argument. He argued that because mind is same with illustrious virtue, it has a special status that essentially distinguished from the temperament, even if both mind and temperament are all material force(氣). This argument led to new discussion trend in the debate. it was to form a definition of the mind, based on defining the relationship between spiritual perception(虛靈知覺), temperament and illustrious virtue. The trend was reflected in the debate on 'Whether illustrious virtue is the same for everyone or varies from person to person(明德分殊)'. Through the process of analysis in this paper, we could detect a tendency that definition of mind has become an independent subject.

• Journal of the Korean Geographical Society
• /
• v.40 no.1 s.106
• /
• pp.126-152
• /
• 2005

In recent years, there are some confusions related to the definition and existence of mountain ranges, which have been described in current geography text books. We contend that these confusions came from the lack of understanding on the geomorphological processes that form the mountain system in Korea. This research attempts to clarify the definition of mountain ranges and offer geological and geomorphological explanations about the formation of them. Based on the analyses of the social and cultural causes underlying the recent debates on the existence of mountain ranges, we tried to identify the relationships among the definition of mountain ranges, geological structure of Korea, and the forming processes of mountain ranges. The current and past mountain range maps were compared with geological structures, geological maps, surface curvature, and hill shade maps. The latter two maps were derived from a Digital Elevation Model of the Korean Peninsular. The results show that we are able to prove the existence of most mountain ranges, which provides a useful framework to understand the geological evolution of Korean peninsular and formation of mountainous landscape of Korea. In terms of their morphological continuity and genesis, however, we identified five different categories of mountain ranges: 1) Uplift mountain ranges(Hamkyeong Sanmaek, Nangrim Sanmaek, Taebaek Sanmaek), which were formed by the uplift processes of the Korean Peninsular during the Tertiary; 2) Falut mountain ranges(Macheonryeong Sanmaek, Sobaek Sanmaek, Buksubaek Sanmaek), whirh were directly related to the uplift processes of the Korean Peninsular during the Tertiary; 3) Trust mountain ranges(Jekyouryeong Sanmaek, Kwangju Sanmaek, Charyeong Sanmaek, Noryeong Sanmaek), which were formed by the intrusion of granite and consequent orogenic processes during the Mesozoic era; 4) Drainage divide type mountain ranges, which were formed by the erosion processes after the uplift of Korean Peninsular; 5) Cross-drainage basin type mountain ranges (Kangnam Sanmaek, Eunjin Sanmaek, Myelak sanmaek), which were also formed by the erosion processes, but the mountain ranges cross several drainage basins as connecting mountains laterally We believe that the current social confusions related to the existence of mountain ranges has partly been caused by the vague definition of mountain ranges and the diversity of the forming processes. In order to overcome theses confusions, it is necessary to characterize the types of them according the genesis, the purpose of usages and also the scale of maps which will explains the mountain systems. It is also necessary to provide appropriate educational materials to increase the general public's awareness and understanding of geomorphological processes.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.30 no.11C
• /
• pp.1076-1082
• /
• 2005

Recently, there have been much efforts in the image segmentation using morphological approach. Among them, the watershed algorithm is one of powerful tools which can take advantages of both of the conventional edge-based segmentation and region-based segmentation. The concept of watershed is based on topographic analogy. But, its high sensitivity to noise yields a very large number of resulting segmented regions which leads to oversegmentation. So we suggest the restricted waterfall algorithm which reduce the oversegmentation by eliminate not only local minima but also local maxima. As a result, the restricted waterfall algorithm has a good segmented image than the other methods, and has a better binary image than the histogram thresholding method.

• School Mathematics
• /
• v.19 no.1
• /
• pp.209-228
• /
• 2017

Understanding decimal numbers is important in mathematics as well as real-life contexts. However, lots of students focus on procedures or algorithms of decimal numbers without understanding its meanings. This study analyzed teaching method related to decimal numbers in a series of mathematics textbooks of Korea, Japan, Singapore and the US. The results showed that three countries except Japan introduced the decimal numbers as another name of fraction, which highlights the relation between the concept of decimal numbers and fractions. And limited meanings of decimal numbers were shown such as 'equal parts of a whole' and 'measurement'. Especially in the korean textbooks, relationships between the decimals were dealt instrumentally and small number of models such as number lines or $10{\times}10$ grids were used repeatedly. Based these results, this study provides implications on what and how to deal with decimal numbers in teaching and learning decimal numbers with textbooks.

• Journal of Elementary Mathematics Education in Korea
• /
• v.15 no.1
• /
• pp.199-219
• /
• 2011

In this thesis, we designed a experimental learning-teaching plan of 'decimal fraction concept' at the 4-th grade level. We rest our plan on two basic premises. One is the fact that a essential concept of decimal fraction is 'polynomial of which indeterminate is 10', and another is the fact that the origin of decimal fraction is successive measurement activities which improving accuracy through decimal partition of measuring unit. The main features of our experimental learning-teaching plan is as follows. Firstly, students can experience a operation which generate decimal unit system through decimal partitioning of measuring unit. Secondly, the decimal fraction expansion will be initially introduced and the complete representation of decimal fraction according to positional notation will follow. Thirdly, such various interpretations of decimal fraction as 3.751m, 3m+7dm+5cm+1mm, $(3+\frac{7}{10}+\frac{5}{100}+\frac{1}{1000})m$ and $\frac{3751}{1000}m$ will be handled. Fourthly, decimal fraction will not be introduced with 'unit decimal fraction' such as 0.1, 0.01, 0.001, ${\cdots}$ but with 'natural number+decimal fraction' such as 2.345. Fifthly, we arranged a numeration activity ruled by random unit system previous to formal representation ruled by decimal positional notation. A experimental learning-teaching plan which presented in this thesis must be examined through teaching experiment. It is necessary to successive research for this task.

• Communications of Mathematical Education
• /
• v.29 no.3
• /
• pp.353-372
• /
• 2015

This study investigated how to utilize number line related number concept learning and analyzed problems related utilization of number line focused on natural number and rational number(fraction, decimal), in elementary school mathematics textbook. The purpose of this study is to identify desirable direction about the utilization of number line, based on analysis of the introduction of time, introduction contents and utilization method in elementary school mathematics textbook.

• Proceedings of the Korean Society of Soil and Groundwater Environment Conference
• /
• 2006.04a
• /
• pp.59-63
• /
• 2006

지하수 모델 개발은 모델의 목적 설정, 자료수집, 개념모델의 수립, 모델 설계, 모델 보정 및 민감도 분석, 예측, 결과제시, 사후검사의 순으로 수행된다. 본 연구의 목표는 신뢰성 있는 지하수 모델 개발을 위해 주요 수문요소(hydraulic features)들을 개념화하는 단계에서 부딪히게 되는 문제점들을 국내의 지하수 환경에 비추어 고찰하였고, 하천 및 지하수 분수령에 대한 경계조건 설정, 암반층의 하부 경계면 설정 등과 같은 수문요소들이 내포하는 불확실성을 논의하였다. 또한 시범지역의 지하수 모델에 대한 민감도 분석을 통하여 이들이 모델 결과에 미치는 영향을 정량적으로 제시하였다.

• Journal of Soil and Groundwater Environment
• /
• v.12 no.3
• /
• pp.53-65
• /
• 2007

Appropriate representation of hydrologic boundaries in groundwater models is critical to the development of a reliable model. This paper examines how the model predictions are affected by the uncertainty in the conceptualization of the hydrologic boundaries including groundwater divides, streams, and the lower boundaries of the flow system. The problem is analyzed for a study area where a number of field data for model inputs were available. First, a groundwater flow model is constructed and calibrated for the area using the Visual Modflow code. Recharge rate is used for the unknown variable determined through the calibration process. Secondly, a series of sensitivity analyses are conducted to evaluate the effects of model uncertainties embedded in specifying boundary conditions for streams and groundwater divides and specifying lower boundary of the bedrock. Finally, this paper provides some guidelines and discussions on how to deal with such hydrologic boundaries in view of developing a reliable conceptual model for the groundwater flow system of Korea.