• Journal of the Korean earth science society
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• v.34 no.2
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• pp.162-172
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• 2013

The purpose of this study is to investigate the effects of flash panorama-based virtual field trips (VFT) as a supporting tool for geological field activity on middle school students' spatial visualization ability, conceptual understanding, and perceptions. A total of 17 middle school students participated in a three day long actual geological field trip around Jeju Island where a three-phase instructional model is applied for utilization of flash panorama-based VFT, which was proposed by Kim and Lee (2011). With one-group pretest-posttest pre-experimental design, data were collected using questionnaire and were analyzed to find out a change in students' spatial visualization ability and volcanic concept understanding, and their perceptions about the utilization of flash panorama-based VFT. Findings are as follows: First, the effect of utilizing flash panorama-based VFT in actual field trip revealed that there was meaningful increase in 'spatial relation' category of spatial visualization ability and 'knowledge' and 'comprehension' domains of volcanic concept understanding. Second, majority of students showed positive gain index in both spatial visualization ability and volcanic concept understanding. Lastly, participating students showed much interest and high satisfaction, and positive perception on the use of VFT. They also perceived that the utilization of flash panorama-based VFT could help in carrying out an actual field trip in terms of cognitive and geographical factors.

• Communications of Mathematical Education
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• v.8
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• pp.91-105
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• 1999

직관력은 현대와 같이 급변하는 사회에서 어떤 문제의 상황을 전체적으로 파악하거나 그 본질을 인식하는데 매우 중요하다. 특히 공간 직관력은 매일을 공간 속에서 생활하고 있는 우리에게는 더욱 소중한 교육적 대상이 된다. 공간 직관력은 눈에 보이는 구체물이나 감각적으로 받아들여진 사물을 통하여 그 배후에 있는 공간으로서 추상적, 이상적인 것을 감지할 수 있는 힘이다. 수학교육학적 관점에서 보면 공간 직관력에는 시각화(도형을 인식하는 능력, 도형을 구성하는 능력 등), 공간적 관계(도형이나 공간의 확장을 이해하는 능력 등), 공간적 방향 파악(위치를 파악하는 능력 등)을 포함한다. 본 연구에서는 이들 공간 직관력을 육성하기 위하여 초등학교 교육과정과 연계하여 적절한 학습 내용 및 방법을 고찰하고자 한다.

• Communications of Mathematical Education
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• v.15
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• pp.87-92
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• 2003

본 연구의 목적은 초등학교 5학년의 도형 영역에서 도형의 모양과 변환을 대상으로 공간 시각화하는 과정에서 나타나는 교구의 역할을 알아보고자 '공간 과제'를 수행하는 과정에서 학습 능력 수준에 따라 나타나는 교구 활용 의존도 및 교구의 역할을 비교 ${\cdot}$ 분석하고자 질적 연구를 수행하였다. 양적 측면에서 아동 C(학습능력 하: 33%), 아동 A(학습능력 상: 18%), 아동 B(학습능력 중: 15%) 순으로 나타났지만, 문제 해결 과정의 단계에서 나타나는 교구의 활용은 서로 간의 다른 특징을 보였다. 친근감을 느낄 수 있는 교구 사용을 통해 아동은 과제 해결을 위한 수학적 사고를 시작하였고, 새로운 방법 모색에 관심을 가졌으며, 유익한 시행착오를 제공하여 아동에게 자신의 사고에 대한 반성과 구체화를 촉진시켰다.

• School Mathematics
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• v.9 no.2
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• pp.277-289
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• 2007

This research aims to look into the mathematically gifted 6th and 7th graders spatial visualization ability of solid figures. The subjects of the research was six male elementary school students in the 6th grade and one male middle school student in the 1th grade receiving special education for the mathematically gifted students supported by the government. The task used in this research was the problems that compares the side lengths and the angle sizes in 4 pictures of its two dimensional representation of a regular icosahedron. The data collected included the activity sheets of the students and in-depth interviews on the problem solving. Data analysis was made based on McGee's theory about spatial visualization ability with referring to Duval's and Del Grande's. According to the results of analysis of subjects' spatial visualization ability, the spatial visualization abilities mainly found in the students' problem-solving process were the ability to visualize a partial configuration of the whole object, the ability to manipulate an object in imagination, the ability to imagine the rotation of a depicted object and the ability to transform a depicted object into a different form. Though most subjects displayed excellent spatial visualization abilities carrying out the tasks in this research, but some of them had a little difficulty in mentally imagining three dimensional objects from its two dimensional representation of a solid figure.

• 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.

• Journal of the Korean earth science society
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• v.25 no.6
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• pp.391-401
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• 2004

This study has developed the software to enhance the level of spatial perception of geological structure for high-school students. And it is examined the effects after applying in high school. The contents of the software are compose of the two elements (space direction, space visualizing) forming spatial concepts in the structure geology. The program was applied to the 60 high school students of 4 high schools in the Gyeonggido. And we interviewed with 4students of the study group to obtain the variation of the geology spatial concept. As a result of appling, the geology spatial concept level enhanced significantly (p < 0.05). And the result of interview for 4 students using the program showed more enhanced achievement for the students through the process of space visualizing.

• School Mathematics
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• v.14 no.1
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• pp.1-28
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• 2012

The purpose of the study are to identify factors of mathematical visualization through the thirty students of highschool 2nd year and to investigate how each visualization factor is used in mathematics problem solving process. Specially, this study performed the qualitative case study in terms of the five of thirty students to obtain the high grade in visuality assessment. As a result of the analysis, visualization factors were categorized into mental images, external representation, transformation or operation of images, and spacial visualization abilities. Also, external representation, transformation or operation of images, and spacial visualization abilities were subdivided more specifically.

• Proceedings of the Korean Information Science Society Conference
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• 2007.10b
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• pp.172-177
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• 2007

공중공간은 평면에 비해 넓고 많은 항공기들이 고속으로 비행하고 있다. 더불어 항공사고는 바로 대형사고로 이어지므로 공중상황 통제의 중요성은 항상 강조되고 있다. 그러나 항공기는 3차원 공간에서 복잡한 패턴으로 비행하기 때문에 통제하기가 매우 어렵다. 통제를 위한 공중상황 정보는 시각화 시스템을 통해 제공되고 있으나, 이를 운영하는 통제요원의 경험, 인지능력이 공중상황판단의 결정적 역할을 하고 있다. 그래서 정확한 상황판단을 위한 정보제공이 매우 중요하다. 본 논문에서는 공중상황에 대한 정확한 정보제공을 위해 비행경로를 이용한 시각화 기법을 제안한다. 대부분의 항공기는 정지하지 않고, 급격한 상태전이 없이 이동하므로 과거 비행자료를 통해 미래의 비행상태를 예측할 수 있다. 즉 과거 상태정보와 현재 상황정보를 통합하여 시각화하면 비행패턴을 예측할 수 있어 정확한 공중상황 판단이 가능하다. 이를 위해 실시간 자료를 분석하여 동적자료를 구분한다. 동적자료만으로 상태전이자료를 생성하고 비행경로 상에서 색상과 도형 및 기호화를 통해 시각화한다. 비행경로와 색상 및 기호화로 제공된 상태전이 시각화 정보는 항공기의 상승/하강, 가속/감속, 직진/선회, 기타 상태전이정보와 바람의 방향과 같은 공중 공간의 상황정보 둥을 제공할 것이다. 이를 통해 운용요원은 공중상황을 정확히 인식하고 신속하게 판다하여 통제함으로서 공중안전을 도모하고 통제업무를 효과적으로 수행할 수 있을 것이다.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.3
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• pp.359-388
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• 2012

The study aims to extract the framework of sub-factors of spatial sense, to develop test instruments based on the framework to investigate the actual spatial sense ability of fourth to sixth graders in elementary school and to analyze the results. According to the framework of sub-factors of spatial sense of the study, spatial sense has two factors of spatial visualization and spatial orientation. Spatial visualization is divided into mental rotation, mental transformation and figure-ground perception while spatial orientation is categorized into direction sense, distance sense, and location sense. Based on the framework, the test instrument for spatial sense ability was developed and the test was conducted to 430 fourth to sixth students in five elementary schools in capital areas. The following conclusions were drawn from the results obtained in the study. Firstly, the higher school year gets, the more spatial sense grows. However, spatial visualization is developed much more than spatial orientation and their order is reversed with higher graders. Secondly, the most insufficient abilities among fourth to sixth elementary school students' spatial sense were mental transformation of spatial visualization and location sense of spatial orientation. Thirdly, the reasons of differences in sub-factors of spatial sense and graders seem to be from effects of students' learning experiences of spatial sense of mathematics curriculum and the complexities of test items.

• School Mathematics
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• v.15 no.4
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• pp.785-799
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• 2013

The researchers developed the teaching-learning materials for 9th grade mathematically gifted students in terms of the hypothesis that the students would have opportunity for problem solving and develop various mathematical thinking through the mathematical modeling lessons. The researchers analyzed what mathematical thinking abilities were shown on each stage of modeling process through the application of the materials. Organization of information ability appears in the real-world exploratory stage. Intuition insight ability, spatialization/visualization ability, mathematical reasoning ability and reflective thinking ability appears in the pre-mathematical model development stage. Mathematical abstraction ability, spatialization/visualization ability, mathematical reasoning ability and reflective thinking ability appears in the mathematical model development stage. Generalization and application ability and reflective thinking ability appears in the model application stage. The developed modeling assignments have provided the opportunities for mathematically-gifted students' mathematical thinking ability to develop and expand.