• Title/Summary/Keyword: history of Korean mathematics

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A Possible Scientific Inquiry Model based on Hypothetico-Deduction Method Involving Abduction

  • Oh, Jun-Young
    • Journal of The Korean Association For Science Education
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    • v.32 no.3
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    • pp.486-501
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    • 2012
  • The aims of this study are to investigate two main problems for the hypothetico-deduction method and to develop a scientific inquiry model to resolve these problems. The structure of this scientific inquiry model consists of accounts of the context of discovery and justification that the hypothetico-deduction holds as two main problems : 1) the heuristic flaw in the hypothetico-deduction method is that there is no limit to creating hypotheses to explain natural phenomena; 2) Logically, this brings into question affirming the consequent and modus tollens. The features of the model are as follows: first, the generation of hypotheses using an analogical abduction and the selection of hypotheses using consilience and simplicity; second, the expansion phase as resolution for the fallacy of affirming the consequent and the recycle phase as resolution for modus tollens involving auxiliary hypotheses. Finally, we examine the establishment process of Copernicus's Heliocentric Hypothesis and the main role of the history of science for the historical invalidity of this scientific inquiry model based on three examples of If/and/then type of explanation testing suggested by Lawson (International journal of science and Mathematics Education, 2005a, 3(1): 1-5) We claim that this hypotheticho-deduction process involving abduction approach produced favorable in scientific literacy rising for science teacher as well as students.

Science Achievement: Synthesis of Current Conceptions in Major Reform Documents in the United States and Korea (과학 교육 개혁 운동에 관련된 보고서 분석을 통한 과학 성취 개념의 재정의)

  • 백성혜;이옥희
    • Journal of Korean Elementary Science Education
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    • v.18 no.2
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    • pp.1-19
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    • 1999
  • Based on the analysis of commonalities and differences in the views of science achievement in major reform documents in the United States and Korea, an aggregated view of science achievement is presented in this paper Science achievement is conceived of in terms of science content and science process. The components of science content include: (a) concepts and theories I n physical, life, and earth and space science;(b) science, mathematics, and technology;(c) science in personal and social perspectives;(d)history and nature of science;and (e) unifying themes. The components of science process include: (a) scientific understanding;(b) scientific investigation;(c) scientific communication; and (d) scientific habits of mind. The components of science process.cut across and intersect with the components of science content. The components of science achievement overlap and are related to one another. Despite such an overlap, understanding the rot e that each component plays provides insight into its unique contributions as well as its interactions with other components. A definition of science achievement and identification of its components based on major reform documents provides a guideline for science assessment as well a s science teaching and learning.

Zermelo and the Axiomatic Method (제르멜로와 공리적 방법)

  • Park, Woo-Suk
    • Korean Journal of Logic
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    • v.11 no.2
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    • pp.1-56
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    • 2008
  • This article intends to examine the widespread assumption, which has been uncritically accepted, that Zermelo simply adopted Hilbert's axiomatic method in his axiomatization of set theory. What is essential in that shared axiomatic method? And, exactly when was it established? By philosophical reflection on these questions, we are to uncover how Zermelo's thought and Hilbert's thought on the axiomatic method were developed interacting each other. As a consequence, we will note the possibility that Zermelo, in his early as well as late thought, had views about the axiomatic method entirely different from that of Hilbert. Such a result must have far-reaching implications to the history of set theory and the axiomatic method, thereby to the philosophy of mathematics in general.

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Mathematical model and sensitivity analysis for describing emulsification in ASP flooding

  • Zhang, Chengli;Wang, Peng;Song, Guoliang
    • Geosystem Engineering
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    • v.21 no.6
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    • pp.335-343
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    • 2018
  • Alkali-surfactant polymer flooding has become an important technique to improve oil recovery following the development of oil fields while the function of emulsification in enhanced oil recovery is rarely considered in the existing mathematical model for numerical simulation. In this paper, the mechanism of improving the recovery of the emulsification was analyzed in ASP flooding, and a relatively perfect mathematical model with deep filtration-theory was established, in which oil-water volume equation, saturation equation, viscosity equation, and permeability reduction equation are included. The new model is used to simulate the actual block of an oil field; the simulated results of the new model and an old model without considering the emulsification are compared with the actual well history. It is found that new model which is easy to be realized in numerical simulation has a high precision fitting, and the effect of adding oil and decreasing water is obvious. The sensitivity of emulsification was analyzed, and the results show that the water reducing funnel becomes wider and the rate of water cut decreases rapidly with the increase of emulsifying capacity, and then the rate of recovery slows down. The effect of increasing oil and decreasing water is better, and the degree of recovery increases. The emulsification of the ASP flooding is maintained at a moderate level, which corresponds to ${\Phi}=0.2$ in the new model, and the emulsification is applied to realize the general mathematical quantitative description, so as to better guide the oilfield development.

Comparison of Severe Disease Incidence among Eligible Insureds to Expand Coverage for Substandard Risks (유병자 보험의 보장성 확대를 위한 유병자들의 중증질환 발생률 비교)

  • Baek, Hyeyoun;Son, Jihoon;Shin, Jimin
    • Journal of health informatics and statistics
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    • v.43 no.4
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    • pp.318-328
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    • 2018
  • Objectives: People are living longer, but often with diseases or chronic conditions. As a consequence, interest in resolving insurance blind spots is growing. This study provides substandard risk-relevant statistics to help substandard risks who are likely to fall in insurance blind spots obtain insurance coverage, such as the reimbursement of medical costs, as well as to stimulate insurance product development. Methods: This study uses National Health Insurance Service (NHIS) cohort data to determine the relevant statistics. The incidence rates of severe diseases are derived and compared against standard risks to establish a set of relative risk factors. These incidence rates of standard and substandard risks are then compared. Results: Currently, an individual's cancer history is used in the underwriting process for simplified issue insurance. However, underwriting focusing on hospitalization and procedures related to serious illnesses could lower premiums for substandard risks. Moreover, the statistical results could be used to expand the coverage of health insurance products. Conclusions: This study's relative risk factors can be used to derive simplified issue premium rates for substandard risks. They can also be used to implement discount and loading schemes for medical reimbursement insurance and help insurance companies implement proactive risk management.

The effects of scanning position on evaluation of cerebral atrophy level: assessed by item response theory

  • Mahsin, Md;Zhao, Yinshan
    • Communications for Statistical Applications and Methods
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    • v.23 no.6
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    • pp.531-541
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    • 2016
  • Cerebral atrophy affects the brain and is a common feature of patients with mild cognitive impairment or Alzheimer's diseases. It is evaluated by the radiologist or reader based on patient's history, age and the space between the brain and the skull as indicated by magnetic resonance (MR) images. A total of 70 patients were scanned in the supine and prone positions before three radiologist assessed their atrophy level. This study examined the radiologist's assessment of the cerebral atrophy level using a graded response model of item response theory (IRT). A graded response model (GRM) is fitted to our data and then item-fit and person-fit statistics are evaluated to assess the fitted model. Our analysis found that the cerebral atrophy level is better discriminated by readers in the prone position because all item slopes were greater than 2 at this position, versus the supine position where all the slope parameters were less than 1. However, the thresholds are very similar for the first reader and are quite different for the second and third readers because the scanning position affects readers differently as the category threshold estimates vary considerably between the readers..

Current trends of education of gifted students and investigation of more efficient management of educational system for gifted students (수학 영재교육을 중심으로 영재교육 현황과 영재교육의 효율적인 운영을 위한 개선책 탐구)

  • Kim, Young-Rock;Kim, Jong-Yim;Jang, Jae-Duck
    • Communications of Mathematical Education
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    • v.23 no.3
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    • pp.643-682
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    • 2009
  • There is no doubt that the national competitiveness, in 21st century, definitely depends on how effectively it has been producing high-qualify human resources. It is inevitable that we are required to produce outstanding people who are going to make the use of highly developed scientific technology. Every country has already set to concentrate their all efforts in cultivating competitive human resources, enabling it to strengthen its national competitiveness. We Korea, in order to keep up with it, have arranged legal and systematic basis and are putting spurs to producing competent human resources under the 영재교육진흥법 및 시행령, which took effect from March, 2002. With the lack of experience and short history of Gifted Education, however, it is true that we still have many problems in promoting it in reality, We are asked to improve it by finding out what problems we have in whole area of Gifted Education, such as defining conception, choosing target students, structuring system and managing students afterwards. Therefore, this study, especially focusing on Math of Gifted Education is to investigate the present situation of Gifted Education and to examine what we should do for administering Gifted Education in effective ways.

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A Study on the Changes of Mathematical Textbooks System in Korean Elementary Schools - Focusing on textbooks after the 7th curriculum- (한국 초등학교의 수학 교과서 체제 변천에 관한 연구 -7차 교육과정 이후 교과서를 중심으로-)

  • Choi, Hye Ryung;Sihn, Hanggyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.24 no.1
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    • pp.109-128
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    • 2020
  • South Korea places the core of public education in school education, and textbooks are compiled based on curriculum announced by the Education Ministry. Therefore, the compilation of high-quality textbooks is very important and requires more than just revising the curriculum. Korea had been working on developing textbooks several times, but it has been evaluated as a uniform textbook in terms of external system and editing design compared to advanced foreign textbooks. This can be said to be the result of the based to only the textbook's internal system, which should be dealt with in the textbook when compiling the textbook. The textbooks which were developed at seventh curriculum were made remarkable changes in the history of South Korea textbooks. In this study, we want to examine the nation's state-authored textbooks, from the seventh textbook to the current textbook in 2015 by order of magnitude and to give a careful look at what aspects of the changes are being made. To this end, the composition of textbooks is analyzed by dividing them into external and internal systems. The external system of textbooks focuses on changes in plate form, shape, lipid, color, and illustration, while the internal system focuses on changes in the composition system of the unit, the composition system of the contents by lesson, and the style of question. As a result, we led to a significant conclusion on the changes in textbooks.

History of the Korean Society of Applied Entomology for its First Fifty Years (한국응용곤충학회의 첫 50년 역사)

  • Boo, Kyung-Saeng
    • Korean journal of applied entomology
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    • v.51 no.2
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    • pp.171-190
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    • 2012
  • The Korean Society of Applied Entomology (KSAE) celebrates its First 50 years history this year, 2011. It began in the year 1962, as the Korean Society of Plant Protection (KSPP) to discuss all aspects of plant protection including entomology and plant pathology. At that time it was one of the earliest scientific ones among agricultural societies in Korea. Before liberation from the Japanese colonial rule there were a few scientific societies for Japanese scientists only in the Korean Peninsula. It seemed that there was a single exception, in medical field, formed by and operated for Korean ethnics. Right after the liberation, Korean scientists rushed to form new scientific societies in the fields of mechanical engineering, architecture, textile, internal medicine, biology, etc. in 1945, mathematics, chemistry, metallurgy, etc. in 1946, and so on. But agricultural scientists had to wait for more time before setting up their own scientific society, Korean Agricultural Society(韓國農學會), comprising all agricultural subfields, in 1954. They had annual meetings and published their own journal every year until 1962. Then those working in the plant protection field established their own KSPP, right after their section meeting in 1962. At that time the total number of participants for KSPP were only around 50. KSPP scientists were interested in plant pathology, agricultural chemicals, weed science, or bioclimate, besides entomology. They had annual meetings once or twice a year until 1987 and published their own journal, Korean Journal of Plant Protection (KJPP), once a year at the earlier years but soon gradually increasing the frequency to four times a year later. Articles on entomology and plant pathology occupied about 40% each, but the number of oral or posters were a little bit higher on plant pathology than entomology, with the rest on nematology, agricultural chemicals, or soil microarthropods. There also had a number of symposia and special lectures. The presidentship lasted for two years and most of president served only one term, except for the first two. The current president should be $28^{th}$. In the year 1988, KSPP had to be transformed into the applied entomology society, Korean Society of Applied Entomology (KSAE), because most of plant pathologists participating left the society to set up their own one, Korean Society of Plant Pathology in 1984. Since that time the Society concentrates on entomology, basic and applied, with some notes on nematology, acarology, soil microarthropods, agricultural chemicals, etc. The Society has been hosting annual meetings at least twice a year with special lectures and symposia, from time to time, on various topics. It also hosted international symposia including binational scientific meetings twice with two different Japanese (applied entomology in 2003 and acarology in 2009) societies and the Asia-Pacific Congress of Entomology in 2005. The regular society meeting of this year, 2011, turns out to be the 43rd and this autumn non-regular meeting would be the 42nd. It has been publishing two different scientific journals, Korean Journal of Applied Entomology (KJAE) since 1988 and the Journal of Asia-Pacific Entomology (JAPE) since 1998. Both journals are published 4 times a year, with articles written in Korean or English in the first, but those in English only in the latter with cooperation from the Taiwan Entomological Society and the Malaysian Plant Protection Society since 2008. It is now enlisted as one of those SCI(science citation index) extended. The highest number of topics discussed at their annual meetings was on ecology, behavior, and host resistance. But at the annual meetings jointly with the Korean Society of Entomology, members were more interested in basic aspects, instead of applied aspects, such as physiology and molecular biology fields. Among those societies related to entomology and plant protection, plant pathology, pesticide, and applied entomology societies are almost similar in membership, but entomology and plant pathology societies are publishing more number of articles than any others. The Society is running beautifully, but there are a few points to be made for further improvement. First, the articles or posters should be correctly categorized on the journals or proceedings. It may be a good idea to ask members to give their own version of correct category for their submissions, either oral or poster or written publication. The category should be classified detailed as much as possible (one kind of example would be systematics, morphology, evolution, ecology, behavior, host preference or resistance, physiology, anatomy, chemical ecology, molecular biology, pathology, chemical control, insecticides, insecticide resistance, biocontrol, biorational control, natural enemies, agricultural pest, forest pest, medical pest, etc.) and such scheme should be given to members beforehand. The members should give one or two, first and second, choices when submitting, if they want. Then the categories might be combined or grouped during editing for optimal arrangement for journals or proceedings. Secondly the journals should carry complete content of the particular year and author index at the last issue of that year. I would also like to have other information, such as awards and awardees in handy way. I could not find any document for listing awards. Such information or article categorization may be assigned to one of the vice presidents. I would rather strongly recommend that the society should give more time and energy on archive management to keep better and more correct history records.

A Study on the Chinese Architectural View Point of Realist Hong Daeyong and Joseon Embassy in Beijing (실학파(實學派) 학인(學人) 홍대용(洪大容)의 중국(中國) 건축관(建築觀)과 북경(北京) 조선관(朝鮮館)에 관한 연구)

  • Han, Dong-Soo
    • Journal of architectural history
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    • v.15 no.1 s.45
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    • pp.29-40
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    • 2006
  • This paper is focused on Damheonseo(湛軒書), an anthology written by Hong Daeyong, and I deal with Chinese Architectural views which he had experienced in his itinerary to Beijing, and the vivid pictures of Joseonkwan (called the Koryo or Joseon Embassy) located in Beijing at that time. He was a scholar of great erudition over astronomy, mathematics, military science, politics, and so on. He was interested in practical sciences at early time, and criticized secular scholars full of vanity who had presented purposeless articles. In his age of 35, Qianlong(乾隆) 30 (1764, Youngjo 41), he, a military escort, accompanied by Hong Uk, Joseon envoy and his uncle. Before his itinerary, he self-studied Chinese. Also, during a long journey he got new experiences and information around each area, deviating his group whenever he had some times. He could get more variant experiences than others because of his character full of curiosity, and his observations from the vivid lives of the time helped us get various views between Chinese and Korean architecture. Likewise, although he denounced Qing(淸) scathingly as a barbarian, he mentioned several points about the characteristics of Chinese architecture at that time. First of all, totally Chinese architecture had strong rational and practical points. Secondly, based on bountiful products, buildings along streets shown in Chinese city had sophisticated compositions, and luxurious and magnificent appearances. Thirdly, using the brick from walls to houses was so universal. Fourthly, the layouts of building with three- or four-closed courtyard had very orderly shapes, and the structure of street was also so arranged. Finally, because of stand-up lives, the scales and appearances of interior space were even more extended, and storages were less developed than those of Joseon. As another points, I found that Joseonkwan was moved next to Shushangguan(庶常館)from Huidongnanguan(會同南館) around Hanlimyuan(翰林院), and had been remodeled into a house with Korean custom in using the inner spaces, although it was followed by a closed courtyard style. Likewise, I recognized that Ondols were sure to be established in all temporary houses during the journey to Qing, and felt their strong traditional residential custom in such mentions. Now that the past pictures have disappeared and ways of life and our values have been largely changed, this study has very important meaning in comparing the ancient Chinese and Korean architecture.

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