• Title/Summary/Keyword: mathematical tendency

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A Study of Hydrodynamic Forces Acting on a Ship Hull Under Lateral Low Speed Motion (저속 횡 이동하는 선박의 선체에 작용하는 유체력에 관한 연구)

  • 이윤석;김순갑
    • Journal of the Korean Institute of Navigation
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    • v.23 no.2
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    • pp.29-42
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    • 1999
  • An accurate method of estimating ship maneuverability needs to be developed to evaluate precisely and improve the maneuverability of ships according to the water depth. In order to estimate maneuverability by a mathematical model. The hydrodynamic forces acting on a ship hull and the flow field around the ship in maneuvering motion need to be estimated. The ship speed new the berth is very low and the fluid flow around a ship hull is unsteady. So, the transient fluid motion should be considered to estimate the drag force acting on the ship hull. In the low speed and short time lateral motion, the vorticity is created by the body and grow up in the acceleration stage and the velocity induced by the vorticity affect to the body in deceleration stage. For this kind of problem, CFD is considered as a goof tool to understand the phenomena. In this paper, the 2D CFD code is used for basic consideration of the phenomena to solve the flow in the cross section of the ship considering the ship is slender and the water depth is large enough. The flow fields Added and hydrodynamic forces for the some prescribed motions are computed and compared with the preliminary experiment results. The comparison of the force with measurement is shown a fairly good agreement in tendency. The 3D Potential Calculation based on the Hess & Smith Theory is employed to predict the surge, sway added mass and yaw added moment of inertia of hydrodynamic coefficients for M/V ESSO OSAKA according to the water depth. The results are also compared with experimental data. Finally, the sway added mass of hydrodynamic coefficients for T/S HANNARA is suggested in each water depth.

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Quantitative analysis of periapical lesions on cone beam computed tomograph and periapical radiograph (Cone beam형 전산화단층영상과 치근단방사선영상의 치근단 병소에 대한 정량적인 분석)

  • Kim, Jin-Hoa;Lee, Wan;Kim, Kyung-Soo;Roh, Young-Chea;Kim, De-Sok;Lee, Byung-Do
    • Imaging Science in Dentistry
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    • v.39 no.1
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    • pp.41-49
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    • 2009
  • Purpose: To detect the progression of experimentally induced periapical lesions on periapical radiograph and cone beam computed tomograph (CBCT) by quantitative analysis. Materials and Methods: After the removal of coronal pulps from premolars of two Beagle dogs, the root canals of premolars were exposed to oral environment during one week and then sealed for 70 days. Digital periapical radiographs and CBCTs were taken at baseline and every 7 days for 77 days after pulp exposure. We examined occurrence and areas of periapical bone resorption. Three comparative groups of CBCT radiographs were prepared by average projection of thin slabs with different bucco-lingual thicknesses (0.1, 3.0, and 8.0 mm) using a 3D visualization software. Radiographic densities were compensated by image normalization. Digital images were processed with mathematical morphology operations. The radiographic density and morphological features of periapical lesions were compared among three groups of CBCT in different time points. Results: In the CBCT group with 0.1 mm thickness, radiographic density (p<0.05) and trabecular bone area (p<0.01) were significantly decreased at the fifth week. However, in the CBCT groups with 3 mm and 8 mm thickness and periapical radiographs, none of densitometric and morphological features showed any significant differences in different time points. Radiographic density of periapical lesion showed increasing tendency at the eleventh week after pulp exposure. Conclusion: Radiographic detection of periapical lesions was possible at the fifth week after pulp contamination by quantitative method and was affected by buccolingual bone thickness.

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Effects of Teaching Communication with Small Group Cooperative learning on Mathematics Learning Abilities (소집단 협동 학습을 통한 의사 소통 지도가 수학 학습 능력에 미치는 효과)

  • Kim Yun Hee;Kim Seon-Yu
    • Journal of Elementary Mathematics Education in Korea
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    • v.6 no.1
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    • pp.77-96
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    • 2002
  • This study aims at checking up influences imposed on mathematics learning abilities in communication teaching through small group leaning for the sixth grade pupils of elementary schools. Results obtained through the study are as follow: The communication teaching through small group cooperative learning showed an affirmative reaction in terms of mathematics learning achievement degree and mathematical tendency. However, the pupils of the lower group showed a meager effect in terms of mathematics learning achievement degree. It means that such an effect is required to a sustained teaching for a long time by teachers.

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Effects of Teaching of Limit Using GeoGebra to High School Students' Mathematics Learning (GeoGebra를 활용한 극한 지도가 고등학생들의 수학 학습에 미치는 영향)

  • Kong, Min Sook;Kang, Yun Soo
    • Journal of the Korean School Mathematics Society
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    • v.17 no.4
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    • pp.697-716
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    • 2014
  • The purpose of this paper is to investigate high school students' learning characteristics which revealed in their learning process of limit using GeoGebra. And we are going to analyze effects of teaching of limit using GeoGebra to high school students' interesting and attitudes for mathematics learning. To do this, we selected three high school students as participants and ask them performing limit learning using GeoGebra. We recorded their problem solving process. Through analyzing their problem solving process relate to their solution, we found the followings: First, students did not logically approach based on mathematical properties or given materials, rather showing tendency decide with self-conscious and intuition. Second, it is possible that former reasoning strategies disturb following reasoning in the process of high school students' mathematics learning. Third, learning process of limit using GeoGebra help high school students to identify and correct their errors relate to limit learning. Forth, learning process of limit using GeoGebra positively effects to high school students' interesting and attitudes for mathematics learning.

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Case Study of Elementary Mathematics Lessons by a Professional Learning Community among Teachers (전문적 학습공동체의 초등 수학 수업에 관한 사례연구)

  • Kim, JeongWon;Pang, JeongSuk;Kim, SangHwa
    • Education of Primary School Mathematics
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    • v.20 no.4
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    • pp.267-286
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    • 2017
  • This study analyzed the processes of lesson plan, implementation, and reflection by a professional learning community with five teachers who were teaching second grade students in the same elementary school. The results of the study showed that the learning community helped the teachers prepare for a lesson effectively, enhance their teaching practices, and reflect on their teaching methods. However, the teachers had difficulties in re-designing and implementing the collaborative lesson plan in their classrooms and had a tendency to talk about their feelings about lessons rather than meaningful comments for subsequent lessons. The successes and difficulties revealed through this study are expected to provide us with directions of learning communities for improving teachers' professional development.

Analysis and Modelling of Vibration Performance for Multi-layered Corrugated Structure

  • Kim, Jin Nyul;Sim, Jae Min;Park, Min Jung;Kim, Ghi Seok;Kim, Jongsoon;Park, Jong Min
    • Journal of Biosystems Engineering
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    • v.38 no.4
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    • pp.327-334
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    • 2013
  • Purpose: The purpose of this study was to analyze for resonant frequency, vibration transmissibility and damping ratio of multi-layered corrugated structures using a random vibration test. Methods: The random vibration test was performed by the ASTM D4728 specifications using two paperboards (S120, K180) and two types of flutes (A/F, B/F). Damping ratio of the multi-layered corrugated structures was estimated using a theoretical equation derived from the measured resonant frequency and transmissibility. Results: The resonant frequency and vibration transmissibility of the multi-layered corrugated structures of K180 and B-flute were higher than those of S120 and A-flute, respectively; however, the damping ratio of each sample had the opposite tendency. The resonant frequency was inversely proportional to the sample thickness and static stress; vibration transmissibility and damping ratio were not correlated with sample thickness and static stress. In addition, we developed a mathematical model of the resonant frequency with variables of sample thickness and static stress. Conclusions: Results of this study can be useful for environment-friendly and optimal packaging design since vibration has been a key factor in cushioning packaging design.

Efficiency of wave absorption by the porous of "Taewoo" of Jeju in regular seaway (파랑 중 제주 "테우" 틈에 의한 파 흡수효과)

  • Lee, Chang-Heon;Choi, Chan-Moon;Ahn, Jang-Young;Cho, Il-Hyoung
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.49 no.2
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    • pp.144-152
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    • 2013
  • In an effort to find the optimum porous of Taewoo through the mathematical model 2 - dimensional tank water experiment among the approached to a problem related to ocean engineering, this study analyzed the porosity by dividing it into 9 cases. As the wave penetrates through the longitudinal porous of the Taewoo model, it was found that there is a wave energy loss because of the phenomenon of the separation of the porous due to the eddy. Looking into the general tendency based on the wave-height meter (probe) data, it was found that the shorter wavelength and higher frequency area, the more reflection coefficients increased, but in contrast, the longer wavelength and lower frequency area, the transmission coefficients showed the increasing trend and energy dissipation was in a similar way with reflection coefficients. In addition, it was found that the bigger the porosity was, the narrower distribution range of reflection coefficients was, and the more its average value decreased. On the other hand the transmission coefficients in direct opposition to reflection was found to show the wider range and the more gradual increase in the average value as porosity was the bigger around the average value. In contrast, energy dissipation rate was found to increase linearly as porosity increased the more around the porosity of 0.2518 but it decreased gradually around the peak point. Through the above results, it is judged that the porous of optimum in the longitudinal direction of the Taewoo model perforated plate was about 2.6cm because it was found that the porosity which produced the lowest reflection and transmission coefficient and the highest energy dissipation. As a result of comparing this to the case where there was no porosity at all, it showed the function of wave absorbing about 31.60%.

Reconsideration of the Change in the Past Korean Elementary Mathematics Curriculums -In the View of Ernest's Philosophy of Mathematics Education- (우리나라 초등학교 수학과 교육과정의 변화 경향 재고 -Ernest의 수학교육철학적 관점에서-)

  • 백석윤;이명희
    • School Mathematics
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    • v.5 no.2
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    • pp.151-165
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    • 2003
  • So far there have been intermittently quantitative and syntactic analyses of the past elementary mathematics curriculums to comprehend elementary mathematics education in Korea. However, we think we also need qualitative and semantic analyses to comprehend and examine the past elementary mathematics curriculums exactly and so to look out on our future elementary mathematics education. Generally, school mathematics curriculum reflects both the philosophical aspects of mathematics itself that form the background of the philosophy of mathematics education and the sociological aspects in real mathematics class that could be the output of the curriculum. With this view, the logic of the social constructivism can be an appropriate way that leads mathematical philosophical analysis and sociological analysis in mathematics education. With this kind of method of analysis we got the results that: the past Korean elementary mathematics curriculums mainly have the tendency from the ideology of the progressive educator(the 1st) to of the technological pragmatist(the 2nd), from that of the old humanist(the 3rd and 4th) to the progressive educator(the 5th and 6th) again, and lastly that of social constructivism(the 7th).

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An analysis of characteristics on elementary teachers' noticing in fraction division lessons (분수의 나눗셈 수업에 대한 초등교사의 노티싱 특징 분석)

  • Sunwoo, Jin
    • Education of Primary School Mathematics
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    • v.27 no.1
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    • pp.1-18
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    • 2024
  • Teachers' ability to notice is a crucial indicator of their instructional expertise. Despite the significance of this ability, research in mathematics teacher education has predominantly focused on the noticing of preservice teachers, with limited exploration into the noticing abilities of experienced in-service teachers. This study addresses this gap by examining the noticing characteristics of in-service elementary teachers actively developing their competency in elementary mathematics education. For this purpose, 23 elementary school teachers were asked to complete an analysis sheet while viewing the mathematics lesson video depicting on the concept of (fraction)÷(natural number), allowing us to scrutinize their attending, interpreting, and responding skills in detail. The study's results revealed that teachers demonstrated a tendency to attend mathematically significant aspects related to the teaching of fraction division. They interpreted the observed phenomena through the lens of fraction division's instructional principles, proposing specific pedagogical alternatives. These findings offer valuable insights for mathematics teacher education research.

Study on the Analysis and Evaluation of 'Observation and Recommendation Letter by Teacher' Which is Utilized in Mathematically Gifted Elementary Students Screening (초등수학영재 선발전형에 활용되는 교사 관찰 추천서의 분석 및 평가에 관한 연구)

  • Kim, Jong Jun;Ryu, Sung Rim
    • Education of Primary School Mathematics
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    • v.16 no.3
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    • pp.229-250
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    • 2013
  • The purpose of this study is analyzing 'observation and recommendation letter by teacher', which is being submitted to screen and enhance the utilization of gifted students in accordance with recently introduced gifted students observation, recommendation and screening system. For the purpose, this study will provide with objective securing plan of 'observation and recommendation letter by teacher' by developing an optimum evaluation model. The research findings were as follows: First, the result of analysis on the mathematically gifted students behavior characteristic as appeared in 'observation and recommendation letter by teacher' suggested that the recommending teachers have the tendency of giving superficial statement instead of giving concrete case description. When it was analyzed for frequency by the 'observation and recommendation letter by teacher' analysis framework devised by the author, the teachers showed the tendency of concentrating on specific questions. Meanwhile, there was a tendency that teachers concentrate on specific gifted behavior characteristic or area for which concrete case had been suggested. The reason is believed that such part is easy to observe and state while others are not, or, teachers did not judge the other part as the characteristic of gifted students. Second, the gifted students behavior characteristics as appeared in 'observation and recommendation letter by teacher' were made into scores by Rubric model. When the interrater reliability was analyzed based on these scores, the correlation coefficient of 1st scoring was .641. After a discussion session was taken and 2nd scoring was done 3 weeks later, the correlation coefficient of 2nd scoring increased to .732. The reason is believed that; i) the severity among scorers was adjusted by the discussion session after the 1st scoring, ii) the scorers established detail judgment standard on various situations which can appear because of the descriptive nature, and, (iii) they found a consensus on scoring for a new situation appeared. It implies that thorough understanding and application of scorers on evaluation model is as important as the development of optimum model for the differentiation of mathematically gifted elementary students.