• Title/Summary/Keyword: 수학 문화

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A Case Study of Teacher's Role in Inquiry-Oriented Mathematics Instruction: Centered on Science High School Students (탐구-중심 수학 수업에서 교사의 역할에 관한 사례연구: 과학고등학교 학생들을 중심으로)

  • Kim, Ik-Pyo
    • Journal of the Korean School Mathematics Society
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    • v.11 no.2
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    • pp.177-199
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    • 2008
  • In the Netherlands, Streefland(Elbers, 2003) gave a solution on how teachers can help students to participate in the process of knowledge construction by investigating constructions and activities of a community of inquiry for a primary school students(between 11 and 13 years of age). In Australia, Goos(2004) analyzed the teacher's role in creating a classroom culture of inquiry, which appeared to be taken for granted by the Grade 12 group, for the Grade 11 students by classroom observation and interviews. In Korea, because of diverse obstacles with a university entrance examination, a study about teacher's role in inquiry-oriented instruction for high school mathematics schooling has rarely appeared in the literature. The purpose of this study is to investigate teacher's role for promoting and managing inquiry-oriented mathematics instruction effectively by a case study. To fulfill this purpose, we develop inquiry-oriented instruction model by investigating teacher's role as an assistant for helping students to do mathematical activity.

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A Study on Convergence between Mathematics and Fine Arts by Galileo Galilei (갈릴레오의 수학과 미술의 융합에 관한 연구)

  • Jung, Won
    • The Journal of the Convergence on Culture Technology
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    • v.6 no.1
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    • pp.255-261
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    • 2020
  • Versatile and innovative interdisciplinary professionals refer to those who can engage in an efficient cooperation with experts in other fields or to those who can themselves put knowledge of different fields together. This article aims to look into Galileo Galilei as an example of historic figure that made remarkable achievements by merging knowledge in multiple fields of study. It also shows that Galileo, who had active exchange with painters during the Renaissance, presented the findings from his telescope observations in the form of drawings and that he used them to build core logics that criticizes the traditional Aristotelian cosmology. Galileo drew the critical logics, hardly achievable from a simple observation report or mathematical demonstration, from his hand drawing. The Galileo case well proposes the goals and direction of how the modern society should nurture its interdisciplinary professionals today.

Comparative studies of systems and questions between Chinese I in the Korea National Scholastic Aptitude Test and Chinese with Listening in the SAT (대학수학능력시험의 '중국어 I'과 SAT의 'Chinese with Listening' 비교 - 체제와 문항을 중심으로)

  • Park, Chan Wook
    • Cross-Cultural Studies
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    • v.23
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    • pp.351-382
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    • 2011
  • This paper aims to compare systems and questions between Chinese I in the Korea National Scholastic Aptitude Test(abbreviated by KNSAT) and Chinese with Listening in the SAT. In the beginning, we compared KNSAT and SAT, and then focused our attention on Chinese I in KNSAT and Chinese with Listening in SAT in terms of assessment purposes, sections, ranges, questions. Through the research, the following results were obtained: Firstly, compared KNSAT with SAT, it is found that Chinese I is less important in KNSAT than Chinese with Listening in SAT. Chinese I belongs to one of the second foreign languages section, and it is placed under common rule of its section. However, Chinese with Listening is similar to Chinese I in that it also belongs to one of the languages section, but it keeps under its control, so it has its own system e.g. purpose, range etc.. Next, compared Chinese I with Chinese with Listening, in the matter of purposes of them, Chinese I is less explicit and less concrete to explain it than Chinese with Listening, and in respect of sections of them, the sections of Chinese I are leaning more toward language materials contrary to Chinese with Listening leaning more toward language functions. And in terms of ranges of them, Chinese I is limited to Basic vocabulary and Examples of communicative function in curriculum of Chinese I, but Chinese with Listening has not any limit on the ranges of questions. Lastly, with regard to questions of them, Chinese I has more tendency toward assessing knowledge of Chinese, on the contrary, Chinese with Listening has more tendency toward assessing performance of it.

Characteristics of "gifted" students found in a new psychological inventory and their implications in selecting "gifted" students (기질 및 성격 검사에서 밝혀진 영재기관 영재의 특성이 영재 선발에 주는 시사점)

  • Jooyong Park;Hyunsook Oh
    • Korean Journal of Culture and Social Issue
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    • v.11 no.1
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    • pp.143-156
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    • 2005
  • There is a growing interest in the education of gifted children nation-wide. The present study was performed to find out characteristics of students who are receiving special education as gifted using a new psychological inventory which measures the temperament and charcter separately. We compared students who have been selected for their trlent in math and science with students who do well academically. Academic competence was operationally defined by grades or by IQ. Gifted children are usually thought to be characterized by an innate ability, and it was expected that there would be some difference between temperaments of the gifted group and those of the academically competent group. However, there was no significant difference between the two groups not only in their temperaments, but also in other sub-scales of character. This result suggests that in spite of the extensive effort and cost involved in the selection process, the children who are currently selected as gifted show no distinction when compared to academically competent students. Based on the results some practical suggestions were made in order to improve the selection of the gifted children.

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Analysis of Educational Context Variable Effects on Gender Differences Observed in PISA 2012 Mathematics in Korea, Singapore, and Finland (우리나라, 싱가포르, 핀란드의 PISA 2012 수학에서의 성차에 대한 교육맥락변인 영향력 비교 분석)

  • Rim, Haemee;Han, Jung-A
    • Journal of Educational Research in Mathematics
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    • v.26 no.2
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    • pp.189-204
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    • 2016
  • As compared with the gender differences in the achievement of mathematics of the PISA 2009, the results of this study on the PISA 2012 show that the achievement of male students sharply increased, while that of female students maintained the status quo. Based on the premise that this result is derived from the ratio differences between male and female students of high level, this study analyzed the educational context variable effects on the achievements of gender differences observed between male and female students of high level. In particular, this study inquired into the factors which influence the gender difference, by analyzing the identical variables regarding Singapore and Finland of which the achievement of female students registers high among other top high-ranking countries of the PISA 2012. Hence, the binominal logistic multi-level analysis was conducted in order to consider the characteristics of hierarchical structure of PISA, and to compare the features of the educational context variable effects between the high level (above level 5) by country and the highest level (above level 6) by group. The analysis results are as follows: in terms of after-school learning time realized either in private lessons and private institutes, no significant effects were shown in any of the students of these three countries. In terms of after-school homework time, the students of Korea and Singapore gave significant influences on the probability which would be included in the group of high level or the highest level. In particular, regarding the variables which influence the probability of inclusion of Korean female students in the group of high level or the highest level, they correspond to "Homework set by teacher", "Attitude toward school: learning activities", "ESCS of School" and "Teacher-student relations". And "Cultural possessions at home" gave main influences on the probability of inclusion of the female students of Korea, Singapore and Finland in the group of the highest level.

Academic Vocabulary Selection and the Development of Learning Application for Students with Multi-cultural Backgrounds (다문화 배경 학생을 위한 학습 도구어 선정 및 학습 어플리케이션 개발)

  • Min, Kyeongah;Yoo, Donghee
    • The Journal of the Korea Contents Association
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    • v.20 no.5
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    • pp.23-36
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    • 2020
  • This study indicates there is a need for delivering key academic vocabulary to students with multi-cultural backgrounds before they enter middle school and thus select academic vocabularies necessary for satisfactory middle school education and self-directed learning methods using a more focused selected academic vocabulary list. To this end, we first examine the vocabularies appearing in the main Korean language, math, social studies and science textbooks used in the first year of middle school and compile the most practical academic vocabulary list. Then we offer a selection method for the main academic vocabulary from these compiled vocabularies. We also propose a self-directed vocabulary learning model for using these selected academic vocabularies and an academic vocabulary learning application as a prototype. As a result, students with multi-cultural backgrounds will be able to adapt to middle school education more quickly when they learn the necessary academic vocabularies on their own using the academic vocabulary learning application.

The Effect and Problem on Mathematics Study Through E-Learning (e-러닝을 이용한 수학 학습의 효과 및 문제점)

  • Kang, Hyo-Soon;Jung, Jung-Hoon
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2012.05a
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    • pp.413-416
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    • 2012
  • The information technology such as personal computers and the internet has become a critical factor in forming a common and popular culture over the last few decades. Those technical inventions have transformed the educational environment. In the past, the only way to get an education was for students to attend schools or private institutions by themselves. In contrast, the internet enables people to learn from a distance by using cyber-education courses and many e-learning contents are provided. Based on those infrastructures, students can be educated in a convenient and flexible way without totally depending on attending school. The purpose of this paper is to examine what the effect of cyber-learning at home is, and to analyse what the problem is? Lastly, this paper also suggests measures to alleviate the adverse effects of it.

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Research on the history of astronomy and the role of astronomer

  • Lee, Yong Bok
    • The Bulletin of The Korean Astronomical Society
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    • v.42 no.2
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    • pp.37.3-38
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    • 2017
  • 우리나라의 천문 관측의 기록의 역사는 삼국시대 이전 선사시대까지 거슬러 올라간다. 선사시대에는 천문 현상을 바위나 건축 유물에 기록을 남기고 역사를 기록하기 시작한 이후에는 일반 역사 기록 속에 항상 함께 기록하고 있다. 특히 동양은 역사기록 자체가 인간이 남긴 자취뿐만 아니라 하늘과 땅에 일어나는 다양한 자연 현상도 함께 동시에 남겼다. 고대로부터 인간은 하늘과 땅과 항상 유기적인 관계를 갖는다고 믿었기 때문이다. 우리나라는 정사로서 가장 오래된 역사 기록인 삼국사기와 삼국유사에 일식, 혜성 출현, 별똥과 유성우, 달과 행성 운행, 초신성 관측 등 250회 이상의 천문 기록이 나타나며 대부분 실제로 일어났던 사실을 그대로 기록하고 있다. 그 후 고려사와 조선왕조실록에는 이루 헤아릴 수 없을 정도로 많은 천문 기록을 남기고 있다. 이러한 천문 기록뿐만 아니라 일찍부터 중국으로부터 역법을 도입하여 천체 운행을 이용하여 우리 생활에 필요한 시각법을 사용하고 달력을 제작하였다. 특히 달과 태양의 운행 원리를 파악하여 일식과 월식을 직접 추산하였다. 역법의 운용은 천체 운행의 원리를 이해하고 수학을 발전시키는데 큰 역할을 하였다. 이러한 천문 관측과 정확한 시각 체계를 유지하고 정밀한 역법을 사용하기 위해서는 끊임없이 천체를 정밀하게 관측할 필요성이 있다. 이를 위해 다양한 천문 관측기기를 개발하고 제작하였다. 천문 의기는 천체의 위치를 측정하고 천체의 운행을 이용하여 시각 체계를 유지 관리를 위해 필수불가결한 기기이다. 우리나라 천문학 발달의 네 가지 축인 천문(天文), 역법(曆法), 의상(儀象), 구루(晷漏)등은 조선 초기 세종시대 완성을 보게 되었다. 이는 단일 왕조가 이룬 업적으로 다른 문화권에서 볼 수 없을 정도의 우수한 과학 기술의 유산이다. 특히 칠정산내편과 외편의 완성은 중국의 역법에서 벗어나 독자적인 역법을 완성하려는 시도였다. 이 모든 것은 당시 이를 주도하던 세종대왕의 지도력과 천문학과 수학에 뛰어난 천문학자가 이룩한 업적이다. 그 후 조선 중기로 접어들면서 쇠퇴하다가 임진왜란과 병자호란을 겪으면서 거의 모든 과학기술의 유산이 파괴되거나 유실되었다. 조선 현종 이후에 세종시대의 유산을 복원하려는 노력 중에 중국을 통하여 서양의 천문학을 도입하게 되었다. 중국에 들어와 있던 서양 선교사들이 주도하여 중국의 역법 체계를 바꾸었다. 즉, 일식과 월식의 예측력이 뛰어난 시헌력을 만들어 사용하기 시작했다. 시헌력에는 서양의 대수학과 기하학을 이용한 다양한 수학적 기법이 사용되었다. 조선 후기에 이 시헌력을 익히기 위한 노력을 하는 과정에서 서양의 수학과 기하학을 접하게 되고 새로운 우주 체계를 도입하게 되었다. 특히 서양의 천문도와 지도 제작에 기하학의 투사법이 사용되어 복잡한 대수학적 계산을 단순화시켜 활용하였다. 조선 후기에 전문 수학자뿐만 아니라 많은 유학자들도 서양의 수학과 기하학에 깊은 관심을 갖고 연구하였다. 고천문학 전체를 조망해 볼 때 핵심은 현대의 천체물리학이 아니라 위치천문학이다. 따라서 고천문학을 연구하는데 필수적인 요소가 지구의 자전과 공전 운동에 의해서 일어나는 현상과 세차운동에 의한 효과를 정확하게 이해하고 있어야 한다. 그중에서도 구면천문학과 천체역학에 대한 원리를 알고 있는 상태에서 접근해야 한다. 고천문학의 중심인 천문(天文), 역법(曆法), 의상(儀象), 구루(晷漏) 등의 내용은 이러한 위치천문학이 그 기본 골격을 이루고 있다. 예를 들어 고려사의 천문 현상을 모아 놓은 천문지(天文志)와 일식과 월식 계산 원리가 들어있는 역지(曆志)를 연구하기 위해서는 위치천문학의 기본 개념 없이는 연구하는데 한계가 있다. 인문학을 전공하는 학자가 고천문을 연구하는데 가장 큰 걸림돌이 되는 점이 위치 천문학의 기본 개념 없이 접근하는 것이다. 심지어 조선시대 유학자들조차 저술한 많은 천문 관련 기록을 보면 상당부분 천체 운행 원리를 모르고 혼란스럽게 기록된 내용이 적지 않다. 우리나라 수학사를 연구할 경우 방정식 해법, 보간법, 삼각법, 일반 기하 원리에 대한 것을 연구하는데 큰 문제가 없다. 그러나 천문 현상이나 천문 의기 제작에 사용되는 수학은 천문 현상에 대한 원리를 모르면 접근하기 어렵게 된다. 수학사를 하더라고 기본적인 위치 천문학의 기본개념을 이해하고 있어야 폭 넓은 수학사 연구에 성과를 거둘 수 있다. 의외로 천문 현상 추산을 위해 사용되는 수학이나 기하학 원리가 수학사 연구에 중요한 요소가 된다. 더구나 한문으로 기록된 천문 내용을 한문 해독이 능숙한 학자라 하더라도 내용을 모르고 번역하면 도무지 무슨 내용인지 알아볼 수 없는 경우가 많다. 그래서 한문으로 된 천문 현상 기록이나 역법 관련 기록의 번역 내용 중에 많은 오역을 발견하게 된다. 문제는 한번 오역을 해 놓으면 몇 십 년이고 그대로 그 내용을 무비판적으로 인용하게 되고 사실로서 인정하는 오류를 범하게 된다. 이 때문에 우리 선조들이 남긴 고천문 관련 기록에 관한 이해는 우리 현대 천문학자의 역할이 대단히 크다.

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The Shaping and Progress of Korean Historical Geography Since 1945 (현대 한국 역사지리학의 형성과 발전)

  • Hong, Keum-Soo
    • Journal of the Korean Geographical Society
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    • v.47 no.4
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    • pp.568-591
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    • 2012
  • Korean historical geography as a distinct subset of modern geography began with the path-breaking efforts of Do-Yang Roh in the second half of the 1940s. He was joined in 1960 by founding father Dr. Chan Lee who carried with himself the Berkeley geography he learned from Fred Kniffen, his advisor, and Robert West at Louisiana State University. Dr. Lee, the single-most important figure in the development of Korean historical geography, founded in 1988 the Association of Korean Cultural and Historical Geographers in order to pull together those interested in past geographies and geographical change. Korean historical geography took off in the 1980s when large numbers of doctoral theses were produced domestically and abroad and British cross-sectional methodology added. Diversity in research theme and methodology characterizes present-day Korean historical geography.

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Laser system Optimization by Genetic Algorithm (유전자 알고리즘을 이용한 레이저 시스템 최적화)

  • Lee, Jinho
    • The Journal of the Convergence on Culture Technology
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    • v.6 no.4
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    • pp.721-726
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    • 2020
  • Genetic algorithm was first introduced to study adaption phenomena occurring in nature based on Darwin's theory of survival of the fittest. It has been used when analytical approach is not possible because of a large number of variables. In this paper, we demonstrated that genetic algorithm could be used to obtain physically optimized experimental values. We programmed a genetic algorithm that uses a few Gaussian functions to find a given function value and the same algorithm was connected to the laser system to obtain laser pulses of 40fs of maximum pulse width and 1mJ of maximum output power. This study shows that genetic algorithm can be applied to laser systems to obtain the optimized laser pulses.