• Title/Summary/Keyword: the development of proof

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Proof' in school mathematics (학교 수학에서의 '증명')

  • 조완영;권성룡
    • Journal of Educational Research in Mathematics
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    • v.11 no.2
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    • pp.385-402
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    • 2001
  • The purpose of this study is to conceptualize 'proof' school mathematics. We based on the assumption the following. (a) There are several different roles of 'proof' : verification, explanation, systematization, discovery, communication (b) Accepted criteria for the validity and rigor of a mathematical 'proof' is decided by negotiation of school mathematics community. (c) There are dynamic relations between mathematical proof and empirical theory. We need to rethink the nature of mathematical proof and give appropriate consideration to the different types of proof related to the cognitive development of the notion of proof. 'proof' in school mathematics should be conceptualized in the broader, psychological sense of justification rather than in the narrow sense of deductive, formal proof 'proof' has not been taught in elementary mathematics, traditionally, Most students have had little exposure to the ideas of proof before the geometry. However, 'proof' cannot simply be taught in a single unit. Rather, proof must be a consistent part of students' mathematical experience in all grades, in all mathematics.

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A Study on the Historic-Genetic Principle of Mathematics Education(1) - A Historic-Genetic Approach to Teaching the Meaning of Proof (역사발생적 수학교육 원리에 대한 연구(1) - 증명의 의미 지도의 역사발생적 전개)

  • 우정호;박미애;권석일
    • School Mathematics
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    • v.5 no.4
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    • pp.401-420
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    • 2003
  • We have many problems in the teaching and learning of proof, especially in the demonstrative geometry of middle school mathematics introducing the proof for the first time. Above all, it is the serious problem that many students do not understand the meaning of proof. In this paper we intend to show that teaching the meaning of proof in terms of historic-genetic approach will be a method to improve the way of teaching proof. We investigate the development of proof which goes through three stages such as experimental, intuitional, and scientific stage as well as the development of geometry up to the completion of Euclid's Elements as Bran-ford set out, and analyze the teaching process for the purpose of looking for the way of improving the way of teaching proof through the historic-genetic approach. We conducted lessons about the angle-sum property of triangle in accordance with these three stages to the students of seventh grade. We show that the students will understand the meaning of proof meaningfully and properly through the historic-genetic approach.

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The Teaching of 'proof' in Elementary Mathematics (초등학교에서의 증명지도)

  • 조완영
    • Education of Primary School Mathematics
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    • v.4 no.1
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    • pp.63-73
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    • 2000
  • The purpose of this paper is to address He possibility of the teaching of 'proof' in elementary mathematics, on the assumption that proof in school mathematics should be used in the broader, psychological sense of justification rather than in the narrow sense of deductive, formal proof. 'Proof' has not been taught in elementary mathematics, traditionally. Most students have had little exposure to the ideas of proof before the geometry. However, 'Proof' cannot simply be taught in a single unit. Rather, proof must be a consistent part of students' mathematical experience in all grades. Or educators and mathematicians need to rethink the nature of mathematical proof and give appropriate consideration to the different types of proof related to the cognitive development of a notion of proof.

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The experimental study on the Evaluation of fire-proof performance and bond characteristics for development of 3hours Fire-Proof paint (3시간 내화도료의 개발을 위한 내화성능 및 부착특성 평가에 관한 실험적 연구)

  • Kim, Soo-Young;Kim, sung-kil;Lee, Han-Seung
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2012.11a
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    • pp.63-64
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    • 2012
  • Recently, Fire-proof performance of buildings becomes important to ensure safety. As a result, fire-proof paint is required for 3 hours. However, Experiments are only performed by standard KS F 2271 for estimation of fire-proof paint. Because there is no domestic estimation standard for performance of fire-proof paint as well. So estimation standard of fire-proof paint is needed to guarantee their performance for establishing quality system and to assure same performance for safety of people in the building from unpredicted fire accident. Owing to these reasons, we studied comparative estimation for quality performance of two kinds of fire-proof paint and bond performance.

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Proof in Mathematics Education

  • Lee, Joong-Kwoen
    • Research in Mathematical Education
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    • v.7 no.1
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    • pp.1-10
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    • 2003
  • This research reviewed literatures on proof in mathematics education. Several views of proof can be classified (and identified) such as psychological approach (Platonism, empiricism), structural approach (logicism, formalism, intuitionism) and social approach (ontology, axiomatic systems). All these views of proof are valuable in mathematics education society. The concept of proof can be found in the form of analytic knowledge not of constructive knowledge. Human beings developed their knowledge in the sequence of constructive knowledge to analytic knowledge. Therefore, in mathematics education, the curriculum of mathematics should involve the process of cognitive knowledge development.

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The Effects of the Material of Pesticide-Proof Clothing on Human Comfort (농약방제복 소재의 차이가 인체 쾌적성에 미치는 영향)

  • Hwang, Kyoung-Sook;Kim, Kyung-Ran;Lee, Kyung-Suk;Kim, Kyung-Su
    • The Korean Journal of Community Living Science
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    • v.17 no.4
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    • pp.49-56
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    • 2006
  • The purpose of this study was to evaluate the thermal and subjective comfort of various pesticide-proof clothes made from different material. Seven male adults took part in the study, conducted in a climate-chamber controlled with an ambient temperature of $30^{\circ}C$ and a relative humidity of 60%RH. The thermal and subjective responses of subjects wearing pesticide-proof clothing made of Goretex(coating treatment), polyester (water-repellent treatment), non-woven(coating) and nylon(coating) were measured. The main results were summarized as follows: (1) Change of rectal temperature and clothing microclimate were inhibited more effectively in pesticide-proof clothing made of Goretex, polyester and non-woven than nylon materials. (2) Mean skin temperature at the end of the experiment was significantly higher in subjects who wore nylon than non-woven and Goretex, and was lowest in those with pesticide-proof clothing made of polyester. (3) Change of heart rate was significantly lower in subjects with Goretex and polyester clothiing than those with non-woven, and in those with nylon, it was highest. (4) Subjective comfort was greater in subjects with Goretex, polyester and nonwoven clothing than nylon, except for thermal sensation. Thermal sensation was greater in order of polyester, Goretex, non-woven and nylon. Thus, it was concluded that pesticide-proof clothing made of Goretex, polyester and non-woven material could reduce thermal stress during the spraying of pesticides in summer.

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A Study on the Comfortable Pesticide-Proof Clothes (농약방제복 개발에 관한 연구)

  • Choi Jeong Wha;Kim Hyun Sik;Jeong Yong Ok
    • Journal of the Korean Society of Clothing and Textiles
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    • v.11 no.2 s.24
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    • pp.91-100
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    • 1987
  • To develop the comfortable pesticid-proof clothes, wearing trials for 7 types of existing pesticide-proof clothes were done measuring skin temperature, pulse rate, humidity and temperature of inside clothing and subjective feeling such as thermal, humid and comfort sensations at $28{\pm}1^{\circ}C$, $75{\pm}5\%$ RH, 2.3 m/sec wind speed. (Experiment 1). On the base of above results, wearing trials of 6 types of new pesticide-proof clothes and 3 types of pesticide-proof clothes as control group were done with the same method as experiment 1. (Experiment 2). The results obtained were as follows 1. Heat stress was lower in newly designed pesticide-proof clothes with mesh running shirts. 2. For the body temperature regulation, it was confirmed that 6 types of new pesticide-proof clothes made of microporous fabric were better than the others.

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A Study on the Development of Explosion Proof ESD Detector and Intrinsic Safety Characteristics Analysis (방폭구조 ESD Detector 개발 및 본질안전 특성 분석에 관한 연구)

  • Byeon, Junghwan;Choi, Sang-won
    • Journal of the Korean Society of Safety
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    • v.35 no.1
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    • pp.1-11
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    • 2020
  • Article 325 (Prevention of Fire Explosion due to Electrostatic) of the Rule for Occupational Safety and Health Standard specifies that in order to prevent the risk of disasters caused by static electricity, fire, explosion and static electricity in the production process, However, in order to do this, it is absolutely necessary to use a pre-detection technology and a detector for antistatic discharge prediction, which is a precautionary measure by static electricity in a fire / explosion hazard place, but in Korea, And there is no technical standard for the application of the technology of the explosion proof structure of the related equipment. Research methods include domestic and overseas electrostatic discharge detection technology and literature investigation of related equipment explosion proofing technology, domestic and foreign electrostatic discharge detection device production and use situation investigation, advanced foreign technology data analysis and benchmarking. In particular, we sought to verify the results of empirical experiments using electrostatic discharge detection technology through sample purchase and analysis of related major products, development of optimization technology through prototype production, evaluation, and supplementation, and expert knowledge through expert consultation. The results of this study were developed and fabricated two prototypes of electrostatic discharge detector based on the technology / standard related to electrostatic discharge detection technology in Korea and abroad through development of electrostatic discharge detection technology and development and production of detector. In addition, based on the development of electrostatic discharge detection technology, we developed an intrinsic safety explosion proof ib class explosion proof technology applicable to the process of using and handling flammable gas and flammable liquid vapor and combustible dust. In the case of the over voltage and minimum voltage are supplied to the explosion-proof structure ESD detector, check the state of the circuit and the transient and transient currents generated by the coil and capacitor elements during the input and standby of the signal pulse voltage. Explosion-proof equipment-Part 11: Intrinsically safe explosion proof structure The comparative evaluation with the reference curve in Annex A of "i" confirms that the characteristics of the intrinsically safe explosion protection structure are met.

A Study on the Feasibility of Domestic Development of a Melt-down Proof Modular Micro Reactor (MDP-MMR) applying Systems Engineering Method (시스템엔지니어링 방법을 적용한 노심용융방지 초소형 모듈원자로 국내 개발타당성 검토)

  • Han, Ki In
    • Journal of the Korean Society of Systems Engineering
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    • v.15 no.2
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    • pp.39-46
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    • 2019
  • The purpose of this paper is to present the results of the study, applying Systems Engineering(SE) method, on the feasibility of developing a Melt-down Proof Modular Micro Reactor(MDP-MMR) for its future deployment in Korea. The reactor is being developed by NCSU (North Carolina State University) due to its advantage of melt-down proof nature of the reactor core. For this paper, the characteristics of the MDP-MMR has been studied in terms of fuel characteristics, inherent safety features and passive safety system. The NCSU's development process has been reviewed applying the SE method, and further research is recommended for the feasibility study on deploying such a modular micro reactor in Korea.

Analysis of geometric proof texts in school mathematics (학교수학에서 기하 증명 텍스트의 분석 - 기능문법과 수사학을 중심으로 -)

  • 김선희;이종희
    • Journal of Educational Research in Mathematics
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    • v.13 no.1
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    • pp.13-28
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    • 2003
  • Practice of proof is considered in, the view of language and meta-mathematics, recognizing the role of proof that is the means of communication and development of mathematical understanding. Linguistic components in proof texts are symbol, verbal language and visual text, and contain the implicit knowledge in the meta-mathematics view. This study investigates the functions of linguistic elements according to Halliday's functional grammar and the rhetoric skills in proof texts in math textbook, teacher's note, and student's written text. We need to inquire into the aspects of language for mathematics learning process and the understanding and use of students' language.

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