• Title/Summary/Keyword: spatial thinking

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The Development of Logical and Mathematical Thinking in 1-to 3-Year-Olds : Examined by Physical Knowledge Activities (물리적 지식활동을 통해서 본 1~3세 영유아의 초기 논리·수학적 사고 발달)

  • Kang, Young Wook;Lee, Kyung Hwa
    • Korean Journal of Child Studies
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    • v.29 no.1
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    • pp.15-32
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    • 2008
  • The logical and mathematical thinking of 1- to 3-year-olds was studied by age groups at 6 month intervals; logical-mathematical thinking was examined by the two physical knowledge activities of cylinder rolling and making a slope. Results showed that in their early 1st year infants failed in both tasks. Infants in their late 2nd year showed understanding of 'rolling things' and 'non-rolling things' by comparing cylinders and cubes in the cylinder rolling activity and they showed 'spatial inference' by adjusting the position and direction of the cylinder so that the cylinder could roll properly and by adjusting the board on a block in the slope making activity. Three-year-old children rolled a cylinder and made a slope without difficulty.

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Infants and Toddlers' Logico-mathematical Thinking Processes in a Block Building Activity (블록 쌓기 활동에서 나타난 만 0, 1, 2세반 영유아의 논리·수학적 사고)

  • Shin, Eun Soo;Kim, Hyun Jin;Lee, Sun Myoung
    • Korean Journal of Child Studies
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    • v.36 no.2
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    • pp.75-94
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    • 2015
  • The main purpose of this study was to examine the various aspects of logico-mathematical thinking and its development by observing a block building activity undertaken by infants and toddlers. The subjects comprised 73 young children from between the ages of 12- to 41-months-old. The interviewee was individually asked to build "something tall", making use of 20 blocks. The results of this study were, first, a regular increase by age is seen in congruence, the vertical use of flat blocks, and innovative ways of using triangular blocks. Second, many types of logico-mathematical thinking processes, such as classification, seriation, spatial relationship and temporal relationship, were shown during the block building activities on the part of the 12- to 41-months-olds who took part in this study.

Knowledge Structures to Simulate the Spatial Behavior of Intelligent Virtual Humans (지능형 가상인간의 공간적 행동을 모사하기 위한 지식구조)

  • Hong, Seung-Wan;Park, Jong-Hee
    • The Journal of the Korea Contents Association
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    • v.20 no.12
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    • pp.230-240
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    • 2020
  • To develop a virtual world-based immersive tutoring system, we would like to develop a simulation in the spatial aspect to maximize the diversity and realism of the situation. This implementation requires the modeling of virtual space as well as the knowledge and intelligent thinking functions of virtual humans. First, information structures are needed to simulate the hierarchical and multifaceted composition of space and the corresponding knowledge of virtual humans. Specifically, four structures for 2.5D spatial distribution expression, complex spatial relationship expression, object expression, and temporal and spatial representation of events are developed respectively. It then uses these expressed knowledge to develop the spatial thinking function of virtual humans needed to make spatial movement. In general, events have a chain effect on adjacent or connected objects through force, resulting in a variety of situations and reflected in the planning of the next action by the virtual humans involved. For this purpose, the development of events according to historical trends is recorded on the representation structure of time and space. It embodies typical events to demonstrate the feasibility of independent behavior in complex spaces among virtual people.

An analysis on middle school students' space geometrical thinking based on cylinder (원기둥을 이용한 중학생의 공간기하 이해 능력 분석)

  • Chang, Hyun Suk;Hong, Jeong Ae;Lee, Bongju
    • The Mathematical Education
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    • v.59 no.2
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    • pp.113-130
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    • 2020
  • The purpose of this study is to analyze how well middle school students understand space geometrical concept related to a cylinder. To this end, we developed the test tool based on prior research and examined 433 middle school students in November and December, 2018. And in March 2019, we interviewed 4 students who showed some type of errors. The difference in the correct answer rate of the questions by the grade and gender was tested, and the error type was analyzed based on the student's responses to the questions to evaluate the spatial reasoning ability. The results of this study are as follows. First, the difference by graders was not statistically significant in the questions evaluating spatial visual ability. On the other hand, in the case of the two questions for evaluating spatial measurement ability and spatial reasoning ability, the difference in the correct answer rate between the 7th graders and 8th is not significant, but the difference between lower graders and 9th was significant. Second, there was no significant difference in the spatial geometric ability of all girls and boys participating in this study. Third, analyzing the student's error type for an item which assessed spatial reasoning ability, we found that there are various error types in relation to visual, manipulative, and reasoning errors.

Structural and Spatial Characteristics of Daejeon Information and Communication Industry Network Applying the Social Network Analysis Techniques and Policy Implications Based on the Systems Thinking Approaches (사회네트워크분석을 활용한 대전 정보통신산업 네트워크의 구조적.공간적 특성과 시스템 사고를 통한 정책적 함의)

  • Song, Mi-Kyoung;Lee, Man-Hyung
    • Korean System Dynamics Review
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    • v.12 no.2
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    • pp.69-94
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    • 2011
  • Daejeon, encompassing Daedeok Science Town and Daedeok Innopolis, possesses the advantage of portraying relatively higher regional innovation capacity and facilitating network formation among regional professional research organizations. Applying the Social Network Analysis(SNA) techniques, this paper focuses on divulging structural and spatial characteristics of the Daejeon Information and Communication(ICT) industry network, analyzing co-research projects implemented by the Daejeon-based universities. For the analytical tool, it depends on NETMINER 3.0. Furthermore, based on the Systems Thinking approaches, this study suggests a couple of policy implications. Judging from the Korea Standard Industrial Classification principles, the existing ICT industry is subdivided into 11 sub-industries. The highest degree centralization value comes from the Mobile Communication sub-industry(188.668%), indicating that Mobile Communication sub-industry exerts the most significant impact on the regional innovation networking in Daejeon. Among various stakeholders, Korea Advanced Institute of Science and Technology(KAIST) records the top ranking in most categories, conspicuously leading the institute-industry linkage. In terms of the ICT spatial distribution, the intra-regional cooperation examples present the strongest linkage values, followed by Daejeon-the Capital Region ones. Finally, as well shown in a series of causal loop analyses, this study recommends that Daejeon should put top policy priority in strengthening the internal ICT network within Daejeon proper. Here, Daejeon should keep in mind the fact that there exist reinforcing loops between Daejeon's attractiveness and the entering of new ICT firms.

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A Study on the Spatial Property of Dress Modeling-I (복식조형의 공간적 특질에 관한 연구-I)

  • 김혜연
    • Journal of the Korean Society of Costume
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    • v.38
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    • pp.31-49
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    • 1998
  • This study is the primary basic study about the spatial feature of modeling of Fashion Design. Then, this researcher lays significance in establishing the basic system about the character of dress and its ornaments as modeling in spatial-formal, dimension, examining the feature of modeling closely through perception principle and offering the basic principle to plan and organize the modeling space for dress and its ornaments on the basis of it. To generalize the findings is as follows : First, the spatial system of modeling for dress and its ornaments is made with 3 elements such as space, human beings and dress and its ornaments. Second, the form of dress and its ornaments and the spatial organization start from the structural basis which is human body, and the sensible system of body is made through inter-action, but the aesthetic expression is complet-ed by the moment of body. Third, the characteristic principle of model-ing for dress and its ornaments which was suggested in Chapter IV is based on the visuo-per-ceptional modeling experience, and these thinking contents are inputted in cognition course as the invisible in formation in the new space plan and organization and activate the apperception course and aim at the action about aesthetic judgement.

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Type and Role of Cognition Strategies in Spatial Tasks: Focusing on Visual Discrimination and Visual Memory Abilities (공간 과제에서 인지 전략의 유형과 역할: 시각적 변별과 기억 능력을 중심으로)

  • Lee, JiYoon
    • Journal of Educational Research in Mathematics
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    • v.25 no.4
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    • pp.571-598
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    • 2015
  • This study aimed to assess the spatial cognition strategies and roles taken by students in the process of solving spatial tasks. For the analysis, this study developed two spatial tests based on the mental rotation test, which were taken by 63 students in their final year in elementary schools. The results of this study showed that in terms of the method of approaching the tasks, students took the comprehensive approach and the partial approach. When solving the tasks, the students were shown to use the imagery thinking or analytic thinking method. In terms of perspective, the students rotated the object or change their perspectives. A comparison of the methods used by the students revealed that when approaching the tasks, the group of students who chose the partial approach had higher scores. In terms of solving the tasks the analytic thinking method, and in terms of perspective, changing perspectives were shown to be more effective. Such effective methods were used more frequently in discrimination tasks than in recognition tasks, and in more complicated items, than in less complicated items. In conclusion, the results of this study suggested that the partial, analytic approach and the change of perspectives are useful strategies in solving tasks which require high cognitive effort.

Conception of Carbon Cycle in High School Students According to the Difference of Spatial Perception Ability (고등학생들의 공간지각능력에 따른 탄소 순환 개념 연구)

  • Lee, Ji-Eun;Han, Shin;Park, Taeyoon
    • Journal of the Korean Society of Earth Science Education
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    • v.10 no.3
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    • pp.308-322
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    • 2017
  • It is the purpose of the study to investigate how high school students understand the concept of carbon cycle according to their spatial perception ability. For this, a total of 30 male students and 33 female students, who belong to the science course of the 2nd grade at a general co-education high school located in a megalopolis of Korea and have finished the class of Earth Science I in the first semester, took part in the spatial perception ability test, and four male students and four female students were selected as members of two groups : one group of higher spatial perception ability and the other group of lower spatial perception ability, and they agreed to participate in the study and have got the test of the carbon cycle concept. The results are as followings. It was found that the students who had higher spatial perception ability recorded more scores in the carbon cycle concept, state change concept, and process concept at the factor of word association and the carbon cycle concept, state change and process concept at the factor of drawing than those who had lower spatial perception ability. Connecting link used in the systemic viewpoint was disclosed like this in the factor of causal map of those who had higher spatial perception ability : one student 2 and another one student 1 and the other two students 0 : and in the factor of drawing three students 1 and the other 0 ; But nothing was found in the factors of causal map and drawing of those who had lower spatial perception ability. In addition, it was also found that those students who had higher spatial perception ability, when compared with those students who had lower spatial perception ability, have understood the fact that carbon moves through the interaction of the earth system's lower parts; Three students, who showed higher spatial perception ability, had a low level of systemic thinking concept, and one student who had higher spatial perception ability and four students who had lower spatial perception ability did not have a systemic thinking concept.

Mathematically Gifted Students' Justification Patterns and Mathematical Representation on a Task of Spatial Geometry (수학영재들의 아르키메데스 다면체 탐구 과정 - 정당화 과정과 표현 과정을 중심으로 -)

  • Lee, Kyong-Hwa;Choi, Nam-Kwang;Song, Sang-Hun
    • 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.

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An Analysis of Systems Thinking Revealed in Middle School Astronomy Classes: The Case of Science Teachers' Teaching Practices for the Unit of Stars and Universe (중학교 과학 천문 수업에서 나타나는 시스템 사고 분석: 별과 우주 단원에 대한 과학 교사의 교수 실행 사례)

  • Oh, Hyunseok;Lee, Kiyoung;Park, Young-Shin;Maeng, Seungho;Lee, Jeong-A
    • Journal of the Korean earth science society
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    • v.36 no.6
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    • pp.591-608
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    • 2015
  • The purpose of this study was to analyze system thinking revealed in science teachers' teaching practices of middle school astronomy classes. Astronomy lessons were video-taped from four eighth grade science teachers. The video recordings were all transcribed and analyzed by employing a framework for systems thinking analysis after modifying an existing frame of hierarchial structure used in relevant previous studies. In addition, four participants were interviewed in order to uncover their orientation toward teaching using video stimulated recall method. Findings are as follows: All participating teachers were not able to employ the four levels of system thinking appropriately and only utilized the low level of systems thinking. They also demonstrated teacher-centered practices for employing system thinking despite their student-centered orientation toward teaching. The main reason for these results may be that teachers focused more on spatial thinking, than on system thinking as well as the lack of teacher's knowledge about the content and formative assessment of non-earth science teachers. Implications on how to effectively employ the system thinking in astronomy class are discussed in this paper.