• Title/Summary/Keyword: fundamental ideas

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Fundamental ideas in Mathematics Education and Using History of Mathematics (수학교육에서의 '기본개념'과 수학사의 접목 -평균값의 예를 통해서 본 수업 모형-)

  • 한경혜
    • Journal for History of Mathematics
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    • v.17 no.3
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    • pp.73-92
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    • 2004
  • The paper surveys various attempts to use the concept of 'fundamental ideas' -Bruner's concept- as a tool for organizing mathematics teaching and research in mathematics education. One of the characteristics of fundamental ideas in mathematics is their correspondence to the history of mathematics; therefore in forming out contents and methods in mathematics education, the history of mathematics may be serve as an interesting aspect. It is demonstrated by the example of mean values.

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소인수분해정리와 유클리드의 원론

  • 강윤수
    • Journal for History of Mathematics
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    • v.17 no.1
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    • pp.33-42
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    • 2004
  • In this paper, we identify the essential ideas of Fundamental Theorem of Arithmetic(FTA). Then, we compare these ideas with several theorems of Euclid's Elements to investigate whether the essential ideas of FTA are contained in Elements or not. From this, we have the following conclusion: Even though Elements doesn't contain FTA explicitly, it contains all of the essential ideas of FTA. Finally, we assert two reasons why Greeks couldn't mention FTA explicitly. First, they oriented geometrically, and so they understood the concept of 'divide' as 'metric'. So they might have difficulty to find the divisor of the given number and the divisor of the divisor continuously. Second, they have limit to use notation in Mathematics. So they couldn't represent the given composite number as multiplication of all of its prime divisors.

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A Practical Study on the Safety Management Technique - with a particular consideration of construction work - (안전관리 기법에 관한 실증적 연구 - 건설작업을 중심으로 -)

  • 채준석;갈원모;손기상
    • Journal of the Korea Safety Management & Science
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    • v.2 no.1
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    • pp.1-17
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    • 2000
  • Many Safety training up to now has been done at site varying with their condition without any standardization or fundamental work related technique. In order to prevent any accidents from construction site, now as we all know, we have to approach on it with work based method. The authors have investigated a couple of construction site for collecting the ideas from site Engineers of this. Some of ideas analyzed with the above related data have been shown as conclusions.

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An Analysis of Domestic Research Trends of Probability Education (확률교육에 관한 국내 연구논문의 동향 분석)

  • Park, Minsun;Lee, Eun-Jung
    • Journal of the Korean School Mathematics Society
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    • v.24 no.4
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    • pp.349-367
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    • 2021
  • In this study, 85 studies on probability education from 2000 to 2020 were analyzed by publishing year, journals, research subjects, and research topics. Especially, fundamental probabilistic ideas presented by Batanero et al.(2016) were applied to examine which topics were dominant in domestic probability education research. As a result, it was found that there has been a few research in probability education in Korea during the past 20 years, and the number of human subject studies was slightly more than the number of non-human subject studies. In addition, the analysis of research topics according to the fundamental probabilistic ideas showed that two topics, conditional probability and independence and combinatorial enumeration and counting, were dominant in domestic probability education research. However, while both conditional probability and independence and combinatorial enumeration and counting are introduced to young children using intuitive manners in international probability education research, subjects related to these topics were primarily high school students and pre and in-service teachers. Based on the results of this study, the implications for the goal and the direction of future probability education research were discussed.

International Comparison Study on Essential Concepts of Science Curriculum: Focus on the United States, Canada, Australia and England (과학과 교육과정의 핵심 개념 국제 비교 -미국, 캐나다, 호주, 영국을 중심으로-)

  • Kim, Jihyeon;Chung, Are Jun
    • Journal of The Korean Association For Science Education
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    • v.37 no.1
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    • pp.215-223
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    • 2017
  • This study aims to find an effective way to present essential science concepts in national science curriculum through international comparisons. Next Generation Science Standard (US), Ontario Science Curriculum (Canada), Australia Science Curriculum, and British/English Science Curriculum were selected for comparison. In science curriculum documents, these countries used terms such as 'Key ideas,' 'Big ideas,' 'Key concepts,' 'Disciplinary core ideas.' and 'Fundamental concepts' to present essential concepts of science. This study reviewed the characteristics of the meaning, the status, and the role of essential concepts country by country. The result shows essential concepts have been used with different meanings and statutes in each case. Furthermore, various roles were performed through essential concepts in order to organize their science curriculum. From these foreign nation's cases, this study proposes several ways to present essential science concepts based on results. First, interdisciplinary integrated concepts were needed to organize an integrated science curriculum. In science curriculum documents of the United States, Canada, Australia and England, two types of terms were used in order to structuralize an integrated science curriculum. Second, essential concepts should include concepts related with function and value as well as scientific knowledge. Third, essential concepts need to be presented in such a way as to show specific contexts. Therefore, selecting appropriate contents and structure are needed to be able to improve the way to present essential concepts in Korea's educational environment.

Numerical Analysis of Electromagnetic Fields in the Time-Domain (시간영역에서의 전자장 수치해석)

  • 남상욱
    • The Proceeding of the Korean Institute of Electromagnetic Engineering and Science
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    • v.2 no.4
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    • pp.66-73
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    • 1991
  • This paper reviews two representative time-domain techniques for the simulation of the electromagnetic fields, which are known as FD - TD and TLM. The fundamental ideas of two tec- hniques are explained in detail. Also, the implimentation of the boundary conditions, the statability condition, and the representation of media in the problems are described briefly.

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A study on a genetic history of the fundamental theorem of calculus (미적분학의 기본정리에 대한 역사-발생적 고찰)

  • 한대희
    • Journal of Educational Research in Mathematics
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    • v.9 no.1
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    • pp.217-228
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    • 1999
  • The fundamental theorem of calculus is the most 'fundamental' content in teaching calculus. Since the aim of teaching the theorem goes beyond simple application of it, it is difficult to teach it meaningfully. Hence, for the meaningful teaching of the fundamental theorem of calculus, this article seeks to find the educational implication of the fundamental theorem of calculus through reviewing the genetic history of it. A genetic history of the fundamental theorem of calculus can be divided into the following five phases: 1. The deductive discovery of the fundamental theorem of calculus 2. Galileo's Law of falling body and the idea of the fundamental theorem of calculus 3. The discovery of the fundamental theorem of calculus and Barrow's proof 4. Newton's mensuration 5. the development of calculus in 19th century and the fundamental theorem of calculus The developmental phases of the fundamental theorem of calculus discussed above provides the three educational implications. first, we can rediscover this theorem through deductive methods and get the ideas of it in relation to kinetic problems. Second, the developmental phases of the fundamental theorem of calculus shows that the value of this theorem lies in the harmony of its theoretical beauty and practicality. Third, Newton's dynamic image of this theorem can be a typical way of understanding the theorem. We have different aims of teaching the fundamental theorem of calculus, according to which the teaching methods can be adopted. But it is self-evident that the simple application of the theorem is just a part of teaching the fundamental theorem of calculus. Hence we must try to put the educational implications reviewed above into practice.

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Ranganathan의 문헌분류에 관한 규범적 원칙-특히 분류의 3단꼐와 분류규준을 중심으로 -

  • 오동근
    • Journal of Korean Library and Information Science Society
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    • v.21
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    • pp.195-229
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    • 1994
  • This article investigates the normative principles suggested by Rangannathan as the guiding principles for his theories, consisting of basic laws, fundamental laws, canons, principles and postulates. His five basic laws and five laws of library science are re-interpreted from the view point of library classification. And three planes of idea plane, verbal plane and notational plane, one of the core ideas in his analytico-synthetic theory of library classification, are analyzed. This article also suggests the demonstration model for this three planes using the ideas from chemistry ad chemical equation. In the last part, it analyzes the canons for library classification of three planes. These normative principles are basically guiding principles for so-called analytico-synthetic or faceted classification. But they can be a n.0, pplied to most of modern classification. But they can be a n.0, pplied to most of modern classification schemes, especially to semi-enumerative schemes including DDC, KDC, etc. so that they can improve the schemes. From this regard, these principles can also be helpful to the KDC, on the verge of the revision of its fourth edition.

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Space and Power : A Comparative Study on the Discourses of Prison

  • Kwon, Young;Lee, Kyung Hoon
    • Architectural research
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    • v.9 no.2
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    • pp.19-25
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    • 2007
  • The changes of prison facilities in the age of Enlightenment and Industrial Revolution, implies viewpoints architectural space as a representation of power. The aim of the study is to examine the structuralistic approach based on two authors of Michel Foucault and Robin Evans. Both texts are summarized and analyzed to make comparison. While Foucault concentrates upon the ideas relating to punishment which preceded and led to the prison being adopted, Evans regards the reality of punishment as it was executed in its architectural context. The study compares the fundamental difference between the two texts; the approach that each author takes with regard to the central issue of the history of penality. These two different interpretations dictate the framework of each discourse and has resulted a number of different notions of ideas. By comparing divergence and convergence of the texts, the study analyzes each author's methodology, theoretical position and notions of prison. Keywords are also extracted to articulate the study and each author's arguments as well.

A Study of LOGO in Secondary School Mathematics Classroom (로고(LOGO) 언어의 중등수학교육 활용방안)

  • 황우형
    • The Mathematical Education
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    • v.38 no.1
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    • pp.15-35
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    • 1999
  • The purpose of the study was to suggest a few fundamental ideas to secondary mathematics teachers regarding using LOGO in their classrooms. Even though this software is "classic" in mathematics lessons in the States and western countries, Korean secondary mathematics teachers did not have much opportunities to become familiar with this software and its applications in their classrooms. This article offered a few suggestions with the specific guidelines. Basic commands were also listed for those who are not familiar with this software. Since the current Korean educational curriculum do not allow to use LOGO in regular classrooms as substitute lessons, it is recommended to implement these ideas in extra curriculum lessons or "Math Club" as trial basis.

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