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Multiplicative Thinking in Elementary Mathematics Education - Focusing on the development of teaching-learning materials for 5th graders - (초등에서의 곱셈적 사고 지도 - 초등 5학년을 위한 교수-학습 자료 개발을 중심으로 -)

  • Han, Eun-Hye;Ryu, Heui-Su
    • School Mathematics
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    • v.10 no.2
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    • pp.155-179
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    • 2008
  • Multiplication problems for the 7th curriculum focus on functional realms featuring the memorization and application of the multiplication table, exposing learners only to additive thinking characterized by simple counting and drawing. A diversity of research has yet to be conducted for the transition to multiplicative thinking that highlights the capability to solve problems by using multiplication and division in the expanded number scope like 'prime numbers', 'fractional numbers', and 'ratio/rates' and to describe accurately how they solved. This research was designed to develop and utilize teaching-learning materials for the transition of fifth graders' additive thinking to advanced multiplicative one and to analyze the application results in order to identify validity in material development. The following conclusions were made. First, the development and application of teaching-learning materials for multiplicative thinking cultivation facilitated the transition from additive thinking featuring simple counting and drawing to multiplicative thinking characterized by multiplication and accurate description in a more complicated and expanded number scope. Second, the development of materials featuring 'basic'-'intermediate'-'in-depth' courses by activity enabled learners to benefit from learning by level and expansion in number scope. Third, the use of topics and materials closely connected to daily lives stimulated learners' curiosity, helping them concentrate more on given problems. Fourth, communication between teachers and students or among learners themselves was promoted by continuously encouraging them to explain and by reviewing their documents identifying rules or patterns.

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The Oogenesis of Glow-light Tetra, Characidae, Teleost (경골어류 카라신과 glow-light tetra의 난자형성과정)

  • Lee, Kyu-Jae;Chang, Byung-Soo;Teng, Yung-Chien;Kim, Dong-Heui
    • Applied Microscopy
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    • v.38 no.4
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    • pp.315-319
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    • 2008
  • Glow-light tetra, Hemigrammus erythrozonus is a teleost belonging to Characidae. The natural habitate of this fish is the wild in the Essequibo river, Guyana and South America. The oogenesis of glow-light tetra was investigated by light microscopy to compare with those of other families. A pair of ovary was located between swim bladder and intestines. The ovary was of white color and ellipsoidal shape with the major axis 11 mm and the minor axis 4 mm. Cytoplasm of oogonia was basophilic and many nucleoli were located at inside of nuclear membrane. In primary oocytes, yolk vesicles were distributed only in the marginal area and egg envelope was not formed on the outside of an egg. In secondary oocytes, the egg envelope was formed and yolk vesicles in the cytoplasm were increased than the earlier stage. The amount of basophilic substance was decreased. In case of matured egg, thickness of egg envelope and size of egg were increased, basophilic substance was distributed in only around the egg envelope. The yolk vesicles were changed to yolk mass in accordance with development. In conclusion, the oogenesis of glow-light tetra, Hemigrammus erythrozonus was characterized by the increase in cell size, the formation and accumulation of yolk, and the decrease of basophilia a in the cytoplasm. The oogenesis of glow-light tetra seems to share common patterns in Characidae, teleost and have a similar pattern with other teleost.

Mathematical Errors of Minority Students from North Korean Defectors and Low-SES in Learning of Mathematical Basic Concepts (교육소외 학생들의 기초학력 신장을 위한 수학학습에서 나타난 수학적 오류: 탈북학생과 저소득층 학생을 대상으로)

  • ChoiKoh, Sang-Sook
    • Journal of Educational Research in Mathematics
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    • v.22 no.2
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    • pp.203-227
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    • 2012
  • This was to investigate how the slow learners who specially belonged to low-SES, or North Korean defectors showed their errors in mathematical learning. To conduct the study, two groups for each minority group participated in the study volunteerly during the Winter vacation, in 2011. Based on the preliminary interviews, a total of 15 units were given, focusing on building mathematical basic concepts. As results, they had some errors in common. They both were in lack of understanding of the terminologies and not able to apply the meanings of definitions and theorems to a problem. Because of uncertainty of basic knowledge of mathematics, they easily lost their focus and were apt to make a mistake. Also, they showed clear differences. North Korean defectors were not accustomed to using or understanding the meanings of Chines or English in Korean words in expressing, writing mathematical terminologies and reading data on the context. Technical errors, and misinterpreted errors were found. However, students from the low SES showed that they were familiar with mathematical words and terminologies, but their errors mostly belonged to carelessness because of the lack of mastering mathematical concepts.

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Phonological development of children aged 3 to 7 under the condition of sentence repetition (문장 따라말하기 과제에서 3~7세 아동의 말소리발달)

  • Kim, Soo-Jin;Park, Na rae;Chang, Moon Soo;Kim, Young Tae;Shin, Moonja;Ha, Ji-Wan
    • Phonetics and Speech Sciences
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    • v.12 no.1
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    • pp.85-95
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    • 2020
  • Sentence repetition is a way of evaluating speech sound production to improve the limitation of word tests and spontaneous speech analysis. Speech sounds produced by children can be evaluated using several indicators. This study examined the progression of the percentage of correct consonants-revised (PCC-R) and phonological whole-word measure in different age and gender groups after setting consonants in various vowel contexts and implementing sentence repetition tasks that were designed to give all phonemes the chance to appear at least three times. For this study, 11 sentence repetition tasks were applied to 535 children aged 3 to 7 across the country, after which the resulting PCC-R and whole-word measure were analyzed. The study results showed that all the indicators improved in older age groups and there were significant differences depending on age, however, no significant differences dependent on gender were found. The sentence repetition conditions data used in this study were collected from across the country, and the age difference between each age group was six months. This study is noteworthy because it collected a sufficient amount of data from each group, highlighted the limitation of the word naming and the spontaneous speech analysis, and suggests new criteria of evaluation through the analysis of each whole-word measure in sentence repetition, which was not applied in previous studies.

The Realization of Intensity-modulated Radiation Therapy Using the Liquid Shielding Material (액체 차폐물을 이용한 강도변조방사선치료의 구현)

  • 오영기;김진기;신교철;김기환;윤상모;김재철;박인규
    • Progress in Medical Physics
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    • v.12 no.2
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    • pp.155-160
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    • 2001
  • We developed a new method that the radiation field shape and intensity could be controlled automatically with a insertion of the liquid shielding material box having a rotatable model imitated the 3-dimensional target volume within. The molded box filled with the mercury was mounted to the tray. A acrylic model imitated the 3-dimensional target volume was fixed into the center of the interior of the box. Although the gentry rotate, the acrylic model can be returned to the original direction of the target due to the action of the gravity. The film measurements at the gantry rotation angle 0$^{\circ}$, 45$^{\circ}$, and 90$^{\circ}$, respectively were shown that the radiation intensities were modulated properly and the field shapes were conformed to the target. We verified the dose distribution for our method with a cylindrical acrylic phantom inserted a film within. In the case of the 8-field irradiation, the 80% isodose line was enclosed the target shape properly. This results show the realization of a new intensity-modulated radiation therapy(IMRT).

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An Algorithm for Segmenting the License Plate Region of a Vehicle Using a Color Model (차량번호판 색상모델에 의한 번호판 영역분할 알고리즘)

  • Jun Young-Min;Cha Jeong-Hee
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.43 no.2 s.308
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    • pp.21-32
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    • 2006
  • The license plate recognition (LPR) unit consists of the following core components: plate region segmentation, individual character extraction, and character recognition. Out of the above three components, accuracy in the performance of plate region segmentation determines the overall recognition rate of the LPR unit. This paper proposes an algorithm for segmenting the license plate region on the front or rear of a vehicle in a fast and accurate manner. In the case of the proposed algorithm images are captured on the spot where unmanned monitoring of illegal parking and stowage is performed with a variety of roadway environments taken into account. As a means of enhancing the segmentation performance of the on-the-spot-captured images of license plate regions, the proposed algorithm uses a mathematical model for license plate colors to convert color images into digital data. In addition, this algorithm uses Gaussian smoothing and double threshold to eliminate image noises, one-pass boundary tracing to do region labeling, and MBR to determine license plate region candidates and extract individual characters from the determined license plate region candidates, thereby segmenting the license plate region on the front or rear of a vehicle through a verification process. This study contributed to addressing the inability of conventional techniques to segment the license plate region on the front or rear of a vehicle where the frame of the license plate is damaged, through processing images in a real-time manner, thereby allowing for the practical application of the proposed algorithm.

The Effect of Conscious Sedation on Pain and Anxiety of Implant Surgery (임플란트 수술 시 의식하진정법이 환자의 통증과 불안에 미치는 영향)

  • Kim, Hye-Young;Lee, Su-Young;Cho, Young-Sik
    • Journal of dental hygiene science
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    • v.14 no.3
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    • pp.411-416
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    • 2014
  • The purpose of this study was to examine the effects of conscious sedation on pain and anxiety of patients in implant surgery. A total of 95 patients who underwent implant surgery were included in the study. In this study, the patient's anxiety and pain to evaluate the pre-operative Visual Analogue Scale (VAS), during-operative Pain Question (PQ), post-operative (Short-form McGill Pain Questionnaire [SF-MPQ], VAS) was used for tools such as questionnaires. The data were analyzed using the chi-squire, independent-samples t-test, multiple linear regression analysis. As a result, the pain reduction was significantly different between the sedative dental treatment and non-sedative dental treatment (p<0.05). The finding of the study multiple linear regression analysis showed that operation time, implant surgery experience, gender, age, operation form and Pain Catastrophizing Scale (PCS) with factors that affect the pain and anxiety (p<0.05). According to the results of the study, considered to be necessary to develop intervention strategies effective using the PCS when managing pain and anxiety of behavior management of this implant patient. Thus, it is advised to provide necessary practical guidelines and dental utilization behaviors on patients with conscious sedation.

Bone Added Osteotome Sinus Floor Elevation with Simultaneous Placement of Branemark Ti-Unite and ITI SLA implants (Osteotome 상악동 거상술과 동시에 식립한 $Br{\aa}nemark$ Ti-Unite 과 ITI SLA임프란트의 비교 연구)

  • Kang, Nam-Won;Jung, Ui-Won;Choi, Seong-Ho;Cho, Kyoo-Sung;Chai, Jung-Kiu;Kim, Chong-Kwan;Kim, Chang-Sung
    • Journal of Periodontal and Implant Science
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    • v.35 no.3
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    • pp.609-621
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    • 2005
  • 1. 목적 Osteotome 상악동거상술(Bone Added Odteotome Sinus Floor Elevation ; 이하 BAOSFE) 과 동시에 식립한 임프란트($Br{\aa}nemark$, ITI)의 예상 생존율에 대해 현재까지 정확히 알려진 바는 없었으며, $Br{\aa}nemark$ Ti-Unite 과 ITI SLA 임프란트의 표면에 대한 비교 연구 또한없었다. 이번 연구는 BAOSFE 술식과 동시에 식립한 $Br{\aa}nemark$ Ti-Unite 과 ITI SLA 임프란트의 임상 결과를 비교, 평가하고 초기 치유기간 동안의 이식골 높이의 변화를 방사선학적으로 관찰하여 두 가지 임프란트 시스템을 비교해 보고자 한다. 2. 방법 위축된 상악 구치부를 갖는 22명의 환자를 대상으로, BAOSFE술식과동시에 $Br{\aa}nemark$ Ti-Unite(11명, 13 임프란트)임프란트와 ITI SLA(11명, 18 임프란트)임프란트를 식립하였다. 수술 전, 임프란트 식립 직후, 술후 6개월의 파노라마 방사선 사진을 촬영하여 비교 및 평가에 사용하였다. 각 임프란트 시스템의 생존율을 측정하고, 술전 상악동저 높이와 식립된 임프란트 길이를 참고하여 이식골 높이의 방사선학적 변화를 평가하였다. 3. 결과 평균12개월의 추적기간 결과, $Br{\aa}nemark$ Ti-Unite 임프란트의 생존율은 100%(13/13 임프란트)이었으며, ITI SLA 임프란트의 생존율은 94.4%(17/18 임프란트)이었다. 초기 치유 기간인 6개월 동안 평균 이식골 높이의 감소는 $Br{\aa}nemark$ Ti-Unite 임프란트에서 0.67mm(10.73%), ITI SLA 임프란트에서는 0.55mm(8.18%)로 나타났다. 두 가지 임프란트 시스템 간의 유의성 있는 차이는 보이지 않았다. 4. 고찰 BAOSFE 술식과 동시식립한 $Br{\aa}nemark$ Ti-Unite 과 ITl SLA 임프란트는 위축된 상악 구치부를 갖는 환자에서 효과적인 치료방법이 될 수 있으며, 임프란트 표면에 따른 이식골의 치유 반응은 두 가지 임프란트 시스템에서 유사한 양상으로 일어남을 알 수 있었다.

A Case Study on Students' Problem Solving in process of Problem Posing for Equation at the Middle School Level (방정식의 문제 만들기 활동에서 문제구조를 중심으로 문제해결에 관한 연구)

  • ChoiKoh, Sang-Sook;Jeon, Sung-Hoon
    • Communications of Mathematical Education
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    • v.23 no.1
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    • pp.109-128
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    • 2009
  • This study aimed to investigate students' learning process by examining their perception process of problem structure and mathematization, and further to suggest an effective teaching and learning of mathematics to improve students' problem-solving ability. Using the qualitative research method, the researcher observed the collaborative learning of two middle school students by providing problem-posing activities of five lessons and interviewed the students during their performance. The results indicated the student with a high achievement tended to make a similar problem and a new problem where a problem structure should be found first, had a flexible approach in changing its variability of the problem because he had advanced algebraic thinking of quantitative reasoning and reversibility in dealing with making a formula, which related to developing creativity. In conclusion, it was observed that the process of problem posing required accurate understanding of problem structures, providing students an opportunity to understand elements and principles of the problem to find the relation of the problem. Teachers may use a strategy of simplifying external structure of the problem and analyzing algebraical thinking necessary to internal structure according to students' level so that students are able to recognize the problem.

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Freeway Crash Frequency Model Development Based on the Road Section Segmentation by Using Vehicle Speeds (차량 속도를 이용한 도로 구간분할에 따른 고속도로 사고빈도 모형 개발 연구)

  • Hwang, Gyeong-Seong;Choe, Jae-Seong;Kim, Sang-Yeop;Heo, Tae-Yeong;Jo, Won-Beom;Kim, Yong-Seok
    • Journal of Korean Society of Transportation
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    • v.28 no.2
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    • pp.151-159
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    • 2010
  • This paper presents a research result that was performed to develop a more accurate freeway crash prediction model than existing models. While the existing crash models only focus on developing crash relationships associated with highway geometric conditions found on a short section of a crash site, this research applies a different approach considering the upstream highway geometric conditions as well. Theoretically, crashes occur while motorists are in motion, and particularly at freeways vehicle speed at one specific point is very sensitive to upstream geometric conditions. Therefore, this is a reasonable approach. To form the analysis data base, this research gathers the geometric conditions of the West Seaside Freeway 269.3 km and six years crash data ranging 2003-2008 for these freeway sections. As a result, it is found that crashes fit well into Negative Binomial Distribution, and, based on the developed model, total number of crashes is inversely proportional to highway curve length and radius. Contrarily, crash occurrences are proportional to tangent length. This result is different from existing crash study results, and it seems to be resulted from this research assumption that a crash is influenced greatly by upstream geometric conditions. Also, this research provides the expected effects on crash occurrences of the length of downgrade sections, speed camera placements, and the on- and off- ramp presences. It is expected that this research result is useful for doing more reasonable highway designs and safety audit analysis, and applying the same research approach to national roads and other major roads in urban areas is recommended.