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An Epistemological Inquiry on the Development of Statistical Concepts (통계적 개념 발달에 관한 인식론적 고찰)

  • Lee, Young-Ha;Nam, Joo-Hyun
    • The Mathematical Education
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    • v.44 no.3 s.110
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    • pp.457-475
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    • 2005
  • We have inquired on what the statistical classes of the secondary schools had been aiming to, say the epistermlogical objects. And we now appreciate that the main obstacle to the systematic articulation is the lack of anticipation on what the statistical concepts are. This study focuses on the ingredients of the statistical concepts. Those are to be the ground of the systematic articulation of statistic courses, especially of the one for the school kids. Thus we required that those ingredients must satisfy the followings. i) directly related to the contents of statistics ii) psychologically developing iii) mutually exclusive each other as much as possible iv) exhaustive enough to cover all statistical concepts We examined what and how statisticians had been doing and the various previous views on these. After all we suggest the following three concepts are the core of conceptual developments of statistic, say the concept of distributions, the summarizing ability and the concept of samples. By the concepts of distributions we mean the frequency views on each random categories and that is developing from the count through the probability along ages. Summarizing ability is another important resources to embed his probe with the data set. It is not only viewed as a number but also to be anticipated as one reflecting a random phenomena. Inductive generalization is one of the most hazardous thing. Statistical induction is a scientific way of challenging this and this starts from distinguishing the chance with the inevitable consequences. One's inductive logic grows up along with one's deductive arguments, nevertheless they are different. The concept of samples reflects' one's view on the sample data and the way of compounding one's logic with the data within one's hypothesis. With these three in mind we observed Korean Statistic Curriculum from K to 12. Distributional concepts are dealt with throughout but not sequenced well. The way of summarization has been introduced in the 1 st, 5th, 7th and the 10th grade as a numerical value only. One activity on the concept of sample is given at the 6th grade. And it jumps into the statistical reasoning at the selective courses of ' Mathematics I ' or of ' Probability and Statistics ' in the grades of 11-12. We want to suggest further studies on the developing stages of these three conceptual features so as to obtain a firm basis of successive statistical articulation.

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pH, Acidity, Color, Reducing Sugar, Total Sugar, Alcohol and Organoleptic Characteristics of Puffed Rice Powder Added Takju during Fermentation (팽화미분 첨가에 따른 탁주의 양조 중 pH, 산도, 색도, 환원당, 총당, 알코올 그리고 관능 성질 변화)

  • Kim, Ji-Young;Sung, Ki-Wook;Bae, Hyun-Wung;Yi, Young-Hyoun
    • Korean Journal of Food Science and Technology
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    • v.39 no.3
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    • pp.266-271
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    • 2007
  • The pH, acidity, color, reducing sugar, total sugar, alcohol, and organoletic characteristics of Takju containing puffed rice powder (0, 25, 50 and 75%) were investigated during fermentation for 10 days. After drastic decrease at Day 1, the pH increased gradually until Day 5 and then tended to decrease after Day 6. A lower concentration of puffed rice powder resulted in a greater pH reduction (p<0.05). Acidity increased quickly with days, especially for the 0% after Day 6 (p<0.05). After a sudden rise at Day 1, the Hunter ‘L’ value tended to decrease with days of fermentation. At the same day, the 75% showed the lowest Hunter ‘L’ value, however, it had the highest Hunter ‘a’ value except on Days 0, 3 and 10 (p<0.05). After a rapid reduction in reducing sugar on Day 3, no differences were observed in the samples (p<0.05). The 75% tended to be higher in reducing sugar. Total sugar decreased rapidly at Day 2, and then either remained unchanged or decreased after Day 3. With the exception of Day 4, the 75% had higher amounts of total sugar than the others at the same day (p<0.05). The Highest alcohol contents [13.0-16.4% (v/v)] occurred on Day 6. Higher alcohol concentrations were observed with higher puffed rice powder (p<0.05). In the sensory evaluation, no differences were detected between the 0% and those with puffed rice powder added (p<0.05).

An Analysis on the Repeated Error Patterns in Division of Fraction by Elementary Students (초등학생들이 분수의 나눗셈에서 보이는 반복적 오류 분석)

  • Kim, Kyung-Mi;Kang, Wan
    • Education of Primary School Mathematics
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    • v.11 no.1
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    • pp.1-19
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    • 2008
  • This study analyzed the repeated error patterns in division of fraction by elementary students through observation of their test papers. The questions for this study were following. First, what is the most changable thing among the repeated error patterns appeared in division of fraction by elementary students? Second, what is the most frequent error patterns in division of fraction by elementary students? First of all, the ratios of incorrect answers in division of fraction by general students were researched. This research was the only one time. The purpose was to know what kind of compositions in the problems were appeared more errors. Total 554 6th grade students(300 boys and 254 girls) from 6 elementary schools in Seoul are participated in this research. On the basis of this, the study for analysis began in earnest. 5 tests made progress for about 4 months. Total 181 6th grade students(92 boys and 89 girls) from S elementary school in Seoul were participated in this. After each test, to confirm the errors and to classify them were done. Then the repeated error patterns were arranged into 4 types: alpha, beta, gamma and delta type. Consequently, conclusions can be derived as follows. First, most students modify their errors as time goes by even though they make errors about already learned contents. Second, most students who appeared errors make them continually caused a reciprocal of natural number in the divisor when they calculate computations about '(fraction) $\div$ (natural number)'. Third, most students recognize that the divisor have to change the reciprocal when they calculate division of fraction through they modify their errors repeatedly.

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Estimation of Sediment Provenance Using Clay Mineral Composition in the Central Basin of the Ross Sea Continental Margin, Antarctica (남극 로스해 대륙주변부 중앙분지의 점토광물 조성을 통한 기원 추적)

  • Ha, Sangbeom;Khim, Boo-Keun;Colizza, Ester;Giglio, Federico;Koo, Hyojin;Cho, Hyen Goo
    • Ocean and Polar Research
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    • v.41 no.4
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    • pp.265-274
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    • 2019
  • To trace the provenance of fine-grained sediments in response to the growth and retreat of glaciers (i.e., Ross Ice Sheet) that affects the depositional process, various kinds of analyses including magnetic susceptibility, granulometry, and clay mineral composition with AMS 14C age dating were carried out using a gravity core KI-13-GC2 obtained from the Central Basin of the Ross Sea continental margin. The sediments mostly consist of silty mud to sand with ice-rafted debris, the sediment colors alternate repeatedly between light brown and gray, and the sedimentary structures are almost bioturbated with some faint laminations. Among the fine-grained clay mineral compositions, illite is highest (59.1-76.2%), followed by chlorite (12.4-21.4%), kaolinite (4.1-11.6%), and smectite (1.2-22.6%). Illite and chlorite originated from the Transantarctic mountains (metamorphic rocks and granitic rocks) situated to the south of the Ross Sea. Kaolinite might be supplied from the sedimentary rocks of Antarctic continent underneath the ice sheet. The provenance of smectite was considered as McMurdo volcanic group around the Victoria Land in the western part of the Ross Sea. Chlorite content was higher and smectite content was lower during the glacial periods, although illite and kaolinite contents are almost consistent between the glacial and interglacial periods. The glacial increase of chlorite content may be due to more supply of the reworked continental shelf sediments deposited during the interglacial periods to the Central Basin. On the contrary, the glacial decrease of smectite content may be attributed to less transport from the McMurdo volcanic group to the Central Basin due to the advanced ice sheet. Although the source areas of the clay minerals in the Central Basin have not changed significantly between the interglacial and glacial periods, the transport pathways and delivery mechanism of the clay minerals were different between the glacial and interglacial periods in response to the growth and retreat of Ross Ice Sheet in the Ross Sea.

Making Science Documentary: On the role of experts in the production of "Light" by EBS (과학 다큐멘터리 만들기: EBS의 <빛>의 제작과정과 자문위원의 역할을중심으로)

  • Moon, Jiho;Hong, Sungook
    • Journal of Science and Technology Studies
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    • v.13 no.1
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    • pp.145-180
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    • 2013
  • STS studies into science documentaries for television are rare, and they do not even reflect the constructivist fruits of STS. STS have been calling for the need of analyzing 'science-in-the-making' in order to understand science more deeply. Similarly, our starting point is the assumption that science documentary can be better understood when we look into its making process. Under this assumption, we adopted the method of participant observation in analyzing 'documentary practice', trying to open the 'black box' called 'science documentary'. We have here focused on the documentary named "Light" made by a scientific documentary team of EBS, who made "Culture and Mathematics" and "Life". Each of us worked as a main consultant and an assistant staff in making "Light". We will address two main points in this study. First, based on our participant observation and interviews, we will show that the members of documentary making team are thinking about 'science' in distinctive ways. The team tended to emphasize visualization, knowledge linked to people's everyday life, and the distinctive characters of scientists who appear in the documentary. Second, by looking closely into the interaction between the team members and the consultant in the process of completing the script of the documentary, it was possible to understand how the contents of the documentary was constructed more accurately. In the making process, consultant's idea was not simply accepted by the making team, but there were conflicts and compromises. By showing this, we will be able to bring up a reflexive question about the role of consultant in the process of making a science documentary.

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An Analysis on STEAM Education Teaching and Learning Program on Technology and Engineering (융합인재교육(STEAM)에서 기술 및 공학 분야에 대한 교수학습 프로그램 분석)

  • Ahn, Jaehong;Kwon, Nanjoo
    • Journal of The Korean Association For Science Education
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    • v.33 no.4
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    • pp.708-717
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    • 2013
  • The new paradigm of the 21st Century science education explores a wide range of possibilities that can foster students' interest toward science and creative convergence thinking. In this study, through the analysis of programs that were developed in 'STEAM leader school' and 'STEAM teacher association for research' supported by the 'Ministry of Education, Science, and Technology,' we analyzed the linking frequency with each of STEAM education's fields and teachers' perception for the convergence strategy of technology and engineering. The results of this study show that linking frequency of technology and engineering is lower than the field of arts and mathematics in elementary school, but higher in middle and high school. 'Introduction technology contents in lives' in technology and 'crafts activity' in engineering are the most used teaching and learning strategy in STEAM education. But, although 'crafts activity' is engineering's major way of learning, many teachers understand and use it as a technological teaching learning strategy. It is important to understand that each of STEAM education's field has a unique nature and educational implications, for the effective settlement of STEAM education, we need to consider teaching and learning strategy in various way.

Analysis of the Verbs in the 2009 Revised National Science Curriculum-from the Viewpoint of Cognitive Domain of TIMSS Assessment Framework (2009 개정 과학과 교육과정의 성취기준에 사용된 서술어 분석 -TIMSS 인지적 영역 평가틀을 중심으로-)

  • Song, Eun-Jeong;Je, Min-Kyeong;Cha, Kyung-Mi;Yoo, June-Hee
    • Journal of The Korean Association For Science Education
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    • v.36 no.4
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    • pp.607-616
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    • 2016
  • In the 2009 revised science curriculum, comprehensive verbs such as 'know (38%)' and 'understand (46%)' are used in more than 80% of the achievement standard. Many readers, such as teachers, textbook makers, etc. have difficulties in interpreting the meaning of achievement standard sentences with these comprehensive verbs. On the other hand, 'Trends in International Mathematics and Science Study (TIMSS)' uses more various and specific verbs to express the cognitive domain. In this study, we analyzed the 2009 revised science curriculum achievement standard focusing on the TIMSS cognitive domain assessment framework. We divided achievement standard to 228 sentences and three teachers analyzed the meaning of verbs in achievement standard. There were two main results of this study. First, the verb 'Know' was analyzed into different kinds of meanings, such as 'Describe (27%)', 'Recall/Recognize (25%)' and 'Relate (17%)', etc; and the verb 'Understand' was analyzed into 'Explain (37%)', 'Relate (27%)' and 'Describe (21%)', etc. Second, there appeared to have a disagreement among the three analysts during the process of interpreting the achievement standards when the level and scope of the contents of each grade is not clear. This study concludes that there's a need for continuous discussion on the use of verbs in achievement standard to promote clearer expressions for better understanding.

On Effective Strategies to Cure the Disposition Causing Math. Disliking (수학 기피유형의 분류와 치유 효과의 분석)

  • 김영국;박기양;박규홍;박혜숙;박윤범;권오한;박노경;백상철;이선아
    • The Mathematical Education
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    • v.42 no.1
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    • pp.19-39
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    • 2003
  • The purpose of this study is to find out effective ways to take care of the 8th and 10th graders' disposition causing math. disliking. To accomplish this goal, we proceeded as follows : First we categorized the 11 factors recognized as the reasons of math. disliking into 4 math. disliking causes such as psychological f: environmental cause, conceptual cause, relational cause and application related cause. Second, to take care of these tow causes, we developed materials which are closely related with the contents of the 8th and 10th graders' school mathematics. Third with these materials we taught the students who had proved to have the math. disliking trend, for one semester. As a consequence of this experiment we arrived at the following results. As for psychological & environmental causes, 35.7% of the 8th graders and 17% of the 10th graders proved to have been improved significantly. This result shows that the curing of the psychological & environmental causes is more effective in the 8th graders than in the 10th graders. i.e., the curing effects of the students' psychological & environmental cause for disliking math. decline as they get older. As for conceptual causes, 35% of the 5th graders and 30% of the 10th graders proved to have been improved significantly. In case of the 8th graders this ratio was similar to that of the other causes. But as for the 10th graders this ratio was a little low compared with that of the case of relation causes and application related causes. As for relational causes, 35% of the 5th graders and 49% of the 10th graders proved to have been improved significantly. Especially the 10th graders improved greatly. Among the four factors that compose this cause, especially hierarchy and connection factors were effectively cured. On application related causes, 47% of the 5th graders and 57% of the 10th graders proved to have been cured significantly. And among the four types of causes listed above, this was the most successfully cured one. Of the two factors of this cause, the basic application factor appeared to have been improved in all experimental groups. In connection with teaching methods, we found out the followings two facts. First, the more teachers push students to solve their tasks with their own efforts, the higher is the ratio of owe. Second, the more teachers teach students personally, the more effective are the teaching results.

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A Study on Development of Curriculum for Convergence Education School for the Gifted (융합형 영재교육기관의 교육과정 개발에 관한 연구)

  • Lee, Jae-Ho
    • Journal of The Korean Association of Information Education
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    • v.16 no.1
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    • pp.123-130
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    • 2012
  • As a sequel of "special improvement act for gifted student education" legislated on January 2000, "regulation act for gifted student education" was published on April 2002 which is the time Korea has settled down its education for the gifted. Announced in the December 2007 "general plan for development of gifted student education" provided a platform for the gifted student education in Korea of growth in quantity, in which a plan of providing gifted student education up to 1 percent of the elementary and middle school level students (approximately 70 thousands) has been established while the education currently provides to 0.59 percent (40 thousands) of all students. Until recently, however, education for gifted students has been performed based on the way of concentrating on academic domains. and it has put more weights on mathematics and english domains. In order to overcome this drawbacks, there have been various attempts for growth in quality of education for gifted students, one of them is the our proposal of convergence of science and art education for cultivating 21 century creative humans through establishment of new type of institution. In this paper, education curriculum and management strategies appliable to the proposed convergence education institutions for gifted students. For this purpose we derived the implication points through analysis on education processes used in korea science school for the gifted students, a representative institution for the gifted students in Korea, and we suggested educational process curriculums for the science and art institute for gifted students along with the detailed contents of convergence subject which is an essential subject to the institute.

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First to Third Graders Have Already Established (분수 개념에 대한 초등학생들의 비형식적 지식 분석 - 1${\sim}$3학년 중심으로 -)

  • Oh, Yu-Kyeong;Kim, Jin-Ho
    • Communications of Mathematical Education
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    • v.23 no.1
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    • pp.145-174
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    • 2009
  • Based on the thinking that people can understand more clearly when the problem is related with their prior knowledge, the Purpose of this study was to analysis students' informal knowledge, which is constructed through their mathematical experience in the context of real-world situations. According to this purpose, the following research questions were. 1) What is the characteristics of students' informal knowledge about fraction before formal fraction instruction in school? 2) What is the difference of informal knowledge of fraction according to reasoning ability and grade. To investigate these questions, 18 children of first, second and third grade(6 children per each grade) in C elementary school were selected. Among the various concept of fraction, part-whole fraction, quotient fraction, ratio fraction and measure fraction were selected for the interview. I recorded the interview on digital camera, drew up a protocol about interview contents, and analyzed and discussed them after numbering and comment. The conclusions are as follows: First, students already constructed informal knowledge before they learned formal knowledge about fraction. Among students' informal knowledge they knew correct concepts based on formal knowledge, but they also have ideas that would lead to misconceptions. Second, the informal knowledge constructed by children were different according to grade. This is because the informal knowledge is influenced by various experience on learning and everyday life. And the students having higher reasoning ability represented higher levels of knowledge. Third, because children are using informal knowledge from everyday life to learn formal knowledge, we should use these informal knowledge to instruct more efficiently.

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