• Journal of the Korean School Mathematics Society
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• v.13 no.4
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• pp.655-678
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• 2010

In the elementary mathematics, geometric education emphasize spatial sense and understandings of figures through development of intuitions in space. Especially space visualization is one of the factors which try conclusion with geometric problem solving. But studies about space visualization are limited to middle school geometric education, studies in elementary level haven't been done until now. Namely, discussions about elementary students' space visualization process and methods in plane or space figures is deficient in relation to geometric problem solving. This paper examines these aspects, especially in relation to plane and space problem solving in elementary levels. First, we investigate visualization methods for plane problem solving and space problem solving respectively, and analyse in diagram form how progress understanding of figures and visualization process. Next, we derive constituent factor on visualization process, and make a check errors which represented by difficulties in visualization process. Through these analysis, this paper aims at deriving an influence of visualization on geometric problem solving in the elementary mathematics.

• Journal of The Korean Association For Science Education
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• v.41 no.5
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• pp.371-390
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• 2021

The purpose of this study is to develop a neuropsychological model for the spatial ability factor and to divide the brain active area involved in the light & shadow problem solving process into the domain-general ability and the domain-specific ability based on the neuropsychological model. Twenty-four male college students participated in the study to measure the synchronized eye movement and electroencephalograms (EEG) while they performed the spatial ability test and the light & shadow tasks. Neuropsychological model for the spatial ability factor and light & shadow problem solving process was developed by integrating the measurements of the participants' eye movements, brain activity areas, and the interview findings regarding their thoughts and strategies. The results of this study are as follows; first, the spatial visualization and mental rotation factors mainly required activation of the parietal lobe, and the spatial orientation factor required activation of the frontal lobe. Second, in the light & shadow problem solving process, participants use both their spatial ability as a domain-general thought, and the application of scientific principles as a domain-specific thought. The brain activity patterns resulting from a participants' inferring the shadow by parallel light source and inferring the shadow when the direction of the light changed were similar to the neuropsychological model for the spatial visualization factor. The brain activity pattern from inferring an object from its shadow by light from multiple directions was similar to the neuropsychological model for the spatial orientation factor. The brain activity pattern from inferring a shadow with a point source of light was similar to the neuropsychological model for the spatial visualization factor. In addition, when solving the light & shadow tasks, the brain's middle temporal gyrus, precentral gyrus, inferior frontal gyrus, middle frontal gyrus were additionally activated, which are responsible for deductive reasoning, working memory, and planning for action.

• School Mathematics
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• v.18 no.2
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• pp.323-348
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• 2016

The 2009 revised national mathematics curriculum have inserted mathematical 'linking cube' activities in the 6th grade math classes to improve students' spatial problem solving abilities and communication skills. However, we found that it was hard for teachers to teach problem solving and communication skills due to the absence of mathematical way of representing linking cubes in the classroom. In this paper, we propose 3D 'turtle representation system' as teaching and learning tools for linking cube activities. After using turtle representation system for linking cube activities, teachers responded that turtle representation system is a valuable problem solving and communication tools for the linking cube mathematics classes. We conclude that turtle representation system is a well designed teaching and learning tools for linking cube activities, and there are lots of educational meanings in the 3D turtle representation system.

• Journal of the Korean Society for Library and Information Science
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• v.58 no.2
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• pp.57-80
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• 2024

Eisner emphasized the importance of problem-solving objectives and expressive objectives in addition to behavioral objectives, and communication through multiple modalities including linguistic, visual, aural, spatial, gestural modes. This study analyzes 'Libraries and Information Life,' a textbook developed for information literacy instruction, by dividing it into educational objectives types(behavioral, problem-solving, expressive) and multimodal modes(linguistic, visual, auditory, spatial, and gestural), and seeks to derive implications for setting educational objectives for information literacy instruction and developing textbooks. The textbook has four volumes for elementary low-grade, elementary high-grade, middle school, and high school levels. Educational objectives were extracted from the textbooks, and 3 librarian-teachers were engaged in the analysis of these objectives. The main findings and implications of this study are as follows. First, when looking at the types of educational objectives, the proportion of behavioral objectives was found to be excessively high, and there is a need to strengthen the proportion of problem-solving objectives and expressive objectives. Second, problem-solving objectives tend to overlap with behavioral objectives, indicating a need to develop problem-solving objectives with defined conditions and solution requirements. Third, expressive objectives concentrated in specific units need to be placed evenly in other units. Fourth, in the case of multi-modality mode, the proportion of the linguistic mode must be reduced, the proportion of the visual, auditory, spatial, and gestural modes must be increased, and it is necessary to set educational objectives with clear characteristics of each mode.

• Proceedings of the KSRS Conference
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• 2007.10a
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• pp.430-433
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• 2007

Spatial information has recently been recognized as one of the major subjects of interest in information technology. With increasing variety and quantity of spatial data on the web, searching and maintaining these data are becoming a much focussed area of research. Interoperability is the key technology in solving the complexities of spatial data in web services. The problem of maintenance and searching of spatial data in an interoperable web service environment can be solved by establishing standardized metadata of spatial information. Then using the standardized metadata, catalog web services can be deployed for autonomous searching and binding of spatial data. This study investigates the international standard for spatial data metadata(ISO/TC211 19115) and deployed catalog web service based on this metadata. Various heterogeneous spatial data of Seoul Metropolitan region were then used for experimental implementation of catalog web service.

• Journal of the Korean Geographical Society
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• v.46 no.4
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• pp.534-553
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• 2011

Analogical thinking is a problem-solving strategy to use a familiar problem (or base analog) to solve a novel problem of the same type (the target problem). The purpose of this study is to provide new insight into geography teaching and learning by connecting cognitive science research on analogical thinking with issues of geography education and suggest that teaching with analogies can be a productive instructional strategy for geography. In this study, using the various examples of analogical thinking used in geography we defined analogical thinking, addressed the theoretical models on analogical transfer, and discussed conditions that make an effective analogical transfer. The major research findings include the following: a) the spatial analogy, indicating skills to find places that may be far apart but have similar locations, and therefore have other similar conditions and/or connections, can provide a useful way to design contents for place learning; b) representational transfer, specifying a common representation for two problems, can play a key role in solving geographic problems requiring data visualization and spatialization processes; and c) either asking learners to compare/analyze similar examples sharing common structure or providing them examples bridging the gap between concrete, real-life phenomena and the ideas and models can contribute to learning in geographic concepts and skills. The spatial analogy requiring both geographic content knowledge and visual/spatial thinking has the potential to become a content-specific problem-solving strategy. We ended with recommendations for future research on analogy that is important in geography education.

• Korean Institute of Interior Design Journal
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• no.12
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• pp.109-117
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• 1997

The purpose of this study is about theoretical approach to scrutinize contents of spatial information and its communi-cating mechanism for revealing the interrelationship of architectural spaces and design factors in design process. It can be resulted that in architectural problem solving for adequate systemization of architectural spaces in specific conditions, intercommunication between social, psychologi-cal, perceptional aspects is important not so much as creati-ve design.

• Journal of Communications and Networks
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• v.18 no.5
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• pp.725-734
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• 2016

For multi-mode radar signals in complex electromagnetic environment, different modes of one emitter tend to be deinterleaved into several emitters, called as "extension", when processing received signals by use of existing sorting methods. The "extension" problem inevitably deteriorates the sorting performance of multi-mode radar signals. In this paper, a novel method based on spatial data mining is presented to address above challenge. Based on theories of data field, we describe the distribution information of feature parameters using potential field, and makes partition clustering of parameter samples according to revealed distribution features. Additionally, an evaluation criterion based on cloud model membership is established to measure the relevance between different cluster-classes, which provides important spatial knowledge for the solution of the "extension" problem. It is shown through numerical simulations that the proposed method is effective on solving the "extension" problem in multi-mode radar signal sorting, and can achieve higher correct sorting rate.

• Korean Institute of Interior Design Journal
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• v.22 no.4
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• pp.33-40
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• 2013

This study aims to recognize that creative thinking methodologies can be adopted in the spatial design. The concept of 'Convergent' and 'Divergent' used in structure of intellect model by Guilford is chosen to understand the character of creative thinking methodologies. Technical and physical contradictions is analyzed for '40 inventive principles' of TRIZ and spatial design works. Through this study, we recognize that the creative thinking methodologies consist of analysis, idea generation and evaluation phase. The psychological inertia that limits the creative thinking should be move away from solving problem, and convergent and divergent thinking have peculiarities to be adopted in condition and to be harmonized, and to set the direction of solving technical problems through to reach the target point integrated way of thinking is needed. '40 inventive principles' by Altshuller are based on engineering and useful in many areas of fields. However some principles are not accepted in design process because these are not considered in design field and paradigm is changed from machine to nature. Nowadays, nature is a prime issue for sustainable human life, because it has sustainable recycle structure and saving energy ways. Thus, creative thinking, including TRIZ is useful in design education and progress, and should be an essential element to get a new design paradigm.

• School Mathematics
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• v.9 no.4
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• pp.487-506
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• 2007

The aims of this study is figure out the characteristics of justification patterns and mathematical representation which are derived from 14 mathematically gifted middle school students in the process of solving the spatial tasks on Archimedean solid. This study shows that mathematically gifted students apply different types of justification such as empirical, or deductive justification and partial or whole justification. It would be necessary to pay attention to the value of informal justification, by comparing the response of student who understood the entire transformation process and provided a reasonable explanation considering all component factors although presenting informal justification and that of student who showed formalization process based on partial analysis. Visual representation plays an valuable role in finding out the Idea of solving the problem and grasping the entire structure of the problem. We found that gifted students tried to create elaborated symbols by consolidating mathematical concepts into symbolic re-presentations and modifying them while gradually developing symbolic representations. This study on justification patterns and mathematical representation of mathematically gifted students dealing with spatial geometry tasks provided an opportunity for understanding their the characteristics of spacial geometrical thinking and expending their thinking.