• Title/Summary/Keyword: Geometry 차이

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The Effects of the Process-based Mathematics Children's Verse Writing Activities on Mathematics Achievements and Attitudes (과정중심 수학 동시 쓰기가 학생들의 수학 학업성취도와 수학적 태도에 미치는 영향)

  • Park, Hyun Chul;Park, Mangoo
    • Journal of the Korean School Mathematics Society
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    • v.18 no.2
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    • pp.187-201
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    • 2015
  • The purpose of this study was to examine the effects of using process-based writing poems in the elementary mathematics classrooms. For this study, we chose 128 elementary school students to examine their mathematical achievements and attitude towards mathematics when using process-centered writing poems in the elementary mathematics classrooms. Process-based mathematics and writing programs developed mainly on the geometry units were composed of four levels, idea generation, idea selection, use and idea organization grouped into similar sections in order to separate into two sections. The results of the practice of this study's problem can be summarized as follows. First, the process-based mathematics and writing activity of geometry had a positive impact on academic achievement in mathematics. Although there was not a significant difference in the fourth and fifth grades, significant differences in the fifth and sixth grade were found. Second, in regards to attitudes in mathematics, process-based mathematics and writing activities had a positive impact. In particular, the improvement of mathematical attitudes was evident in all grades. It confirmed the effective facilitation of interest and enjoyment towards learning mathematics by 4th, 5th and 6th graders who had undertaken these mathematics classes.

Investigation of the changes in texture of soybean sprout depending on the heating conditions in sous-vide and conventional hot water cooking (Sous-vide가열과 열탕가열 조건에 따른 콩나물 머리와 줄기의 조직감 변화에 관한 연구)

  • Lee, Yun Ju;Jung, Hwabin;Yoon, Won Byong
    • Journal of Applied Biological Chemistry
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    • v.61 no.3
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    • pp.219-226
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    • 2018
  • The purpose of this study was to investigate the effect of thermal treatments, such as a sous-vide and a conventional hot water cooking, on the texture changes of soybean sprout. A novel method to measure texture properties of soybean sprout have been determined because of the irregular geometry of soybean sprout. The shape of cotyledon of bean spout was accurately analyzed using an image processing and a geometry model. To minimize the effect of the contact area on the texture measurement, a blade type of probe was selected for the measurement. True stress was evaluated to reflect the shape changes during deformation, and demonstrated that the measurement accurately distinguished the effect of thermal treatment on the texture. Different heating time (i.e., 0, 10, 20, and 30 min) was applied for both sous-vide and conventional cooking. Thermal processing caused hardening of textures for both cotyledon and hypocotyl of soybean sprout. The conventional cooking method showed higher stress values than those of sous-vide cooking. Sprouts cooked by sous-vide released the moisture after thermal processing while sprout cooked by a conventional water bath method could hold the moisture content during thermal processing. The soybean sprouts treated by conventional cooking method showed a higher score in sensory evaluation.

On the Effect of Inter-baseline Covariance in the Network-based GPS Positioning (기선간 공분산 모델링이 GPS 망조정에 미치는 영향)

  • Yoon, Hasu;Choi, Yun-Soo;Hong, Chang-Ki;Kwon, Jay Hyoun
    • Journal of the Korean Association of Geographic Information Studies
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    • v.12 no.1
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    • pp.36-43
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    • 2009
  • In this study, the impact of the covariance between the baselines on the network-based GPS positioning is analyzed. For the analysis, the multi-baseline solutions with properly modeled covariance between the baselines and the combined solutions from the single-baseline solutions are obtained, respectively. Then, the accuracies of both solutions are evaluated in terms of coordinate residuals, i.e., the differences between the positioning solutions and the published stations' coordinates. The results indicate that the positioning accuracy in static mode depends much on the geometry of GPS satellites rather than the proper modeling of covariance between the baselines. Also, slight but negligible improvement in positioning accuracy is observed in static solutions. Therefore, one may use combined solutions as an alternative to multi-baseline solutions for the network-based GPS positioning. However, multi-baseline solution with properly modeled covariance between the baselines is recommended to use especially for the applications to detect very small displacement, i.e., deformation of the building or bridge.

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Numerical Modeling on the Change in Discharge Performance of the Sluice for Tidal Power Plant According to the Apron Shape (물받이 형상에 따른 조력발전용 수문의 통수성능 변화 수치모델링)

  • Oh, Sang-Ho;Han, In-Suk;Kim, Gunwoo;Jeong, Weon-Mu
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.25 no.2
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    • pp.94-102
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    • 2013
  • In this study, numerical modeling was performed to investigate influence of the apron shape on the discharge performance of the sluice for tidal power plant. The numerical modeling was carried out for comparison of the difference in the discharge coefficient when the apron width, slope, and the length of the horizontal section were different, without considering change in the shape of the sluice caisson itself. The modeling result showed that significant discrepancy in terms of the overall discharge performance appeared according to the apron geometry. In order to achieve maximum discharge performance of the sluice caisson, it is desirable to make the design by putting a space equivalent to the width of the sluice caisson on its both sides, by making the apron slope be 1:5, and by keeping length of the horizontal section to be 50 m that is corresponding to the streamwise length of the sluice caisson.

Thermomechanical Analysis of Functionally Gradient $Al-SiC_p$ Composite for Electronic Packaging (전자패키지용 경사조성 $Al-SiC_p$복합재료의 열.기계적 변형특성 해석)

  • 송대현;최낙봉;김애정;조경목;박익민
    • Composites Research
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    • v.13 no.6
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    • pp.23-29
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    • 2000
  • The internal residual stresses within the multilayered structure with sharp interface induced by the difference in thermal expansion coefficient between the materials of adjacent layers often provide the source of failure such as delamination of interfaces etc. Recent development of the multilayered structure with functionally graded interface would be the solution to prevent this kind of failure. However a systematic thermo-mechanical analysis is needed for the customized structural design of multilayered structure. In this study, theoretical model for the thermo-mechanical analysis is developed for multilayered structures of the $Al-SiC_p$ functionally graded composite for electronic packaging. The evolution of curvature and internal stresses in response to temperature variations is presented for the different combinations of geometry. The resultant analytical solutions are used for the optimal design of the multilayered structures with functionally graded interface as well as with sharp interface.

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Application of electrical resistivity in determining diagenetic stage of deep-sea carbonate sediments : A new variable (深海底 炭酸염 堆積物의 續成作용의 程度를 決定할 수 있는 새로운 變數로서 의 電氣 抵抗度의 應용 可能性)

  • 김대철
    • 한국해양학회지
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    • v.21 no.2
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    • pp.92-100
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    • 1986
  • Laboratory investigations of physical (density and porosity), acoustic (velocity and velocity anisotropy), and electrical (resistivity and resistivity anisotropy) properties in deep-sea carbonate sequences at DSDPsites 288 and 289 in the western equatorial Pacific were made and correlated as a function of diagenesis. Profile of resistivity shows almost a mirror image of velocity indicating that electrical resistivity can be a useful variable to determine the diagenetic stage. Some fluctuations in acoustic and electrical properties near the zones of cherty and siliceous limestones for both sites imply significant changes in pore geometry due to interbedded silica. The significantly reduced pore throat size by the presence of silica which provides excess calcium carbonate to adjacent pore spaces is partly responsible for several jumps in acoustic and electrical properties of the zones. These observed geophysical data are interpreted as the result of silica diagenesis influencing carbonate diagenesis.

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Mathematical Cognition as the Construction of Concepts in Kant's Critique of Pure Reason ("순수이성비판"에 나타난 수학적 인식의 특성: 개념의 구성)

  • Yim, Jae-Hoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.16 no.1
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    • pp.1-19
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    • 2012
  • Kant defines mathematical cognition as the cognition by reason from the construction of concepts. In this paper, I inquire the meaning and the characteristics of the construction of concepts based on Kant's theory on the sensibility and the understanding. To construct a concept is to exhibit or represent the object which corresponds to the concept in pure intuition apriori. The construction of a mathematical concept includes a dynamic synthesis of the pure imagination to produce a schema of a concept rather than its image. Kant's transcendental explanation on the sensibility and the understanding can be regarded as an epistemological theory that supports the necessity of arithmetic and geometry as common core in human education. And his views on mathematical cognition implies that we should pay more attention to how to have students get deeper understanding of a mathematical concept through the construction of it beyond mere abstraction from sensible experience and how to guide students to cultivate the habit of mind to refer to given figures or symbols as schemata of mathematical concepts rather than mere images of them.

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A Study on the Installation Method of Delineation System Using Detection Distance and Lateral Position (인지거리와 측방위치를 이용한 시선유도시설의 설치방법에 관한 연구)

  • Jeon, Woo-Hoon;Cho, Hye-Jin
    • International Journal of Highway Engineering
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    • v.9 no.3
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    • pp.29-38
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    • 2007
  • This study investigated the effects of delineation systems on drivers' maneuver and how the effectiveness of delineation system can be further improved according to the road geometry. The experiments were conducted to collect lateral placement data and detection distance data using GPS equipped vehicles. The main results are summarizedas follows. Firstly, installing the delineation facilities on the roads helps drivers to recognize road alignment. Secondly, the detection distance is longer for delineators than for raised pavement marker in tangent section, while there is no difference in curve section. The chevron show the longest detection distance in the curve section, while the raised pavement markers showed no distinctive performance in terms of detection distance and lateral placement. Therefore, we can recommend install delineators in the tangent sections and chevrons in curve sections, based on the analysis results of effects of delineation facilities.

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A Study on Constructions of the Polygons by Albrecht Dürer for Mathematics Education (알브레히트 뒤러의 정다각형 작도법 고찰)

  • Cho, Youngmi
    • Journal of Educational Research in Mathematics
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    • v.27 no.3
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    • pp.581-598
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    • 2017
  • The early Renaissance artist Albrecht $D{\ddot{u}}rer$ is an amateur mathematician. He published a book on geometry. In the second part of that book, $D{\ddot{u}}rer$ gave compass and straight edge constructions for the regular polygons from the triangle to the 16-gon. For mathematics education, I extracted base constructions of polygon constructions. And I also showed how to use $D{\ddot{u}}rer^{\prime}s$ idea in constructing divergent forms with compass and ruler. The contents of this paper can be expected to be the baseline data for mathematics education.

How to Investigate Students' Zone of Proximal Development (ZPD) (학생들의 근접발달영역(ZPD)에 대한 탐구)

  • Kim, Dong--Joong
    • Journal of the Korean School Mathematics Society
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    • v.12 no.4
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    • pp.493-508
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    • 2009
  • This study investigates aspects of the zone of proximal development (ZPD), the distance between the actual development and the potential development. Out of 18 university students taking a geometry course, two students with the same actual developmental level in the van Hiele model in the pre-test and post-test were interviewed for measuring their potential developmental level. Based on the communicational approach to cognition, the characteristics of the two interviewees' discourse on 3D reflective symmetry were identified. There were considerable differences between the two interviewees in terms of their potential developmental level. Methodological implications for how to investigate students' ZPD in mathematics education research were addressed.

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