• Title/Summary/Keyword: proof education

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Semantic Network Analysis of Science Gifted Middle School Students' Understanding of Fact, Hypothesis, Theory, Law, and Scientificness (언어 네트워크 분석법을 통한 중학교 과학영재들의 사실, 가설, 이론, 법칙과 과학적인 것의 의미에 대한 인식 조사)

  • Lee, Jun-Ki;Ha, Minsu
    • Journal of The Korean Association For Science Education
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    • v.32 no.5
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    • pp.823-840
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    • 2012
  • The importance of teaching the nature of science (NOS) has been emphasized in the science curriculum, especially in the science curriculum for science-gifted students. Nevertheless, few studies concerning the structure and formation of students' mental model on NOS have been carried out. This study aimed to explore science-gifted students' understanding of 'fact', 'hypothesis', 'theory', 'law', and 'scientificness' by utilizing semantic network analysis. One hundred ten science-gifted middle school students who were selected by a national university participated in this study. We collected students' written responses of five items and analyzed them by the semantic network analysis(SNA) method. As a result, the core ideas of students' understanding of 'fact' were proof and reality, of 'hypothesis' were tentativeness and uncertainty, of 'theory' was proven hypothesis by experimentation, of 'law' were absoluteness and authority, and of 'scientificness' were factual evidence, verifiability, accurate and logical theoretical framework. The result of integrated semantic network illustrated that the viewpoint of science-gifted students were similar to absolutism and logical positivism (empiricism). Methodologically, this study showed that the semantic network analysis method was an useful tool for visualization of students' mental model of scientific conceptions including NOS.

The Literature Study about the Origin of Sipgan-Sipiji (십간십이지의 기원에 관한 문헌적 고찰)

  • Na, Hyeok-Jin;Kim, Ki-Seung
    • Industry Promotion Research
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    • v.5 no.1
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    • pp.117-124
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    • 2020
  • The purpose of this paper is to find out the origin and significance of Sipgan-Sipiji that Yinyang and five elements are assigned. By looking at the hypotheses that Sipgan-Sipiji may have originated from the ancient Chinese calendar, the contents of the materials recorded in the classical literature, and the records left in the Oracle bone script, we wanted to explore the starting point of Sipgan-Sipiji in Eastern humanities and social sciences that could never be overlooked. Through the literature review of Sipgan-Sipiji, the researcher believes that this code system was completed by Hwangje and his teacher Daeyo, who led paternal clan society in the latter part of the Chinese Neolithic Age, because of supporting the use of the October calendar associated with Sipgan, and because Sipgan in the Oracle bone script seems to keep the sacredness and at the same time to be used to document the time. I believe that this consideration of Sipgan-Sipiji will be helpful for future related research in the process of underlying the research effort of Myeongri Science, such as the security of the logic of the theoretical framework for the theory system and the proof through statistical social science techniques.

A Multi-center Survey of HPV Knowledge and Attitudes Toward HPV Vaccination among Women, Government Officials, and Medical Personnel in China

  • Zhao, Fang-Hui;Tiggelaar, Sarah M.;Hu, Shang-Ying;Zhao, Na;Hong, Ying;Niyazi, Mayinuer;Gao, Xiao-Hong;Ju, Li-Rong;Zhang, Li-Qin;Feng, Xiang-Xian;Duan, Xian-Zhi;Song, Xiu-Ling;Wang, Jing;Yang, Yun;Li, Chang-Qin;Liu, Jia-Hua;Liu, Ji-Hong;Lu, Yu-Bo;Li, Li;Zhou, Qi;Liu, Jin-Feng;Xu, Li-Na;Qiao, You-Lin
    • Asian Pacific Journal of Cancer Prevention
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    • v.13 no.5
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    • pp.2369-2378
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    • 2012
  • Objectives: To assess knowledge of HPV and attitudes towards HPV vaccination among the general female population, government officials, and healthcare providers in China to assist the development of an effective national HPV vaccination program. Methods: A cross-sectional epidemiologic survey was conducted across 21 urban and rural sites in China using a short questionnaire. 763 government officials, 760 healthcare providers, and 11,681 women aged 15-59 years were included in the final analysis. Data were analyzed using standard descriptive statistics and logistic regression. Results: Knowledge of HPV among the general female population was low; only 24% had heard of HPV. Less than 20% of healthcare providers recognized sexually na$\ddot{i}$ve women as the most appropriate population for HPV vaccination. There was high acceptance of the HPV vaccine for all categories of respondents. Only 6% of women were willing to pay more than US $300 for the vaccine. Conclusions: Aggressive education is necessary to increase knowledge of HPV and its vaccine. Further proof of vaccine safety and efficacy and government subsidies combined with increased awareness could facilitate development and implementation of HPV vaccination in China.

A Study on the Definition of a Circumcenter and an Incenter of Triangle (삼각형의 외심, 내심의 정의에 관한 고찰)

  • Jun, Young-Bae;Kang, Jeong-Gi;Roh, Eun-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.355-375
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    • 2011
  • This paper was designed for the purpose of helping the functional comprehension on the concept of a circumcenter and an incenter of triangle and offering the help for teaching-learning process on their definitions. We analysed the characteristic of the definition on a circumcenter and an incenter of triangle and studied the context, mean and purpose on the definition. The definition focusing on the construction is the definition stressed on the consistency of the concept through the fact that it is possible to draw figure of the concept. And this definition is the thing that consider the extend of the concept from triangle to polygon. Meanwhile this definition can be confused because the concept is not connected with the terminology. The definition focusing on the meaning is easy to memorize the concept because the concept is connected with the terminology but is difficult to search for the concept truth. And this definition is the thing that has the grounds on the occurrence but is taught in a made-knowledge. The definition focusing on both the construction and meaning is the definition that the starting point is vague in the logical proof process. We hope that the results are used to improve the understanding the concept of a circumcenter and an incenter of triangle in the field of mathematical education.

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Effectiveness of mathematics education through the process-oriented evaluation - Focusing on Geometry and vector subjects - (과정 중심 평가를 통한 수학교과 인성 함양 효과 - 기하와 벡터 과목을 중심으로 -)

  • Kim, Hyunjoo
    • Journal of the Korean School Mathematics Society
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    • v.22 no.4
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    • pp.369-393
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    • 2019
  • The purpose of this study is to find the commonality between process-focused assessment and existing performance evaluation and to find out whether the process-focused assessment is effective for the development of the character of school mathematics. By analyzing the previous research, this study defined the meaning of process-focused assessment as an evaluation that can improve students' growth and quality of class through immediate feedback by introducing various performance tasks and evaluation methods. The character of school mathematics refers to personality factors that are easily expressed and cultivated during math classes. Therefore, this study presented examples of the feasibility of process-focused assessment focusing on geometry and vector subjects and examined the effectiveness of mathematics and character development through process-based evaluation. Four course-based assessments (math experiments, logic, proof, and communication) aimed at cultivating the character of school mathematics were conducted from March to June 2019 for the third year of high school. The index was measured. Analysis of the results using the corresponding variable t-test showed that the process-based evaluation in this study had a significant effect on the character of school mathematics development.

A study on the teaching of proofs based on Freudenthal's guided reinvention principle (Freudenthal의 안내된 재발명 원리를 적용한 증명 지도 방안에 대한 연구)

  • Han, Hye-Sook;Moon, Su-Jin
    • Communications of Mathematical Education
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    • v.23 no.1
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    • pp.85-108
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    • 2009
  • The purposes of the study were to develop instructional materials based on Freudenthal's guided reinvention principle for teaching proofs and to investigate how the teaching method based on guided reinvention principle affects on 8th grade students' ability to write proofs and learning attitude toward proofs. Teaching based on guided reinvention principle placed emphasis on providing students opportunities to make a mathematical statement and prove the statement by themselves throughout various activities such as exploring, conjecturing, and testing the conjectures. The study found that students who studied proving with instructional materials developed by guided reinvention principle showed statistically higher mean scores on the posttest than students who studied by a traditional teaching method depending onteacher's explanation. Especially, on the posttest item which requested to prove a whole statement without presenting a picture corresponding to the statement, a big difference among students' responses was found. Many more students in the traditional group did not provide any response on the item. According to the results of the questionnaire regarding students' learning attitudes, the group who studied proving by guided reinvention principle indicated relatively more positive attitudes toward learning proofs than the counterparts.

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A Study on the uTradeHub Acceptance Factors Effecting upon the System Usefulness and User Satisfaction (uTradeHub 수용요인이 시스템 유용성과 사용자 만족도에 미치는 영향)

  • Song, Sun-Yok
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.5
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    • pp.2769-2777
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    • 2014
  • This research herein aims to assist maximizing performance of introduced systems by managing the acceptance factor of uTradeHub that is easily overlooked in the system installation process by trading companies aiming to install uTradeHub system in future by conducting the two following things: i) grasping factors affecting system usefulness and user satisfaction derived from uTradeHub acceptance factor, and ii) analyzing the effect relationship of system usefulness on user satisfaction at an inspection level of system usefulness and user satisfaction, since the uTradeHub system introduced for mid- and small-sized trading companies in export and import works in mid-2008. Proof analysis was conducted by using SPSS 19.0 statistic package on data of 112 effective responses collected through questionnaire surveys, whose results are as follows. First, the uTradeHub acceptance factors having a significant effect on system usefulness are relative advantage, easy of use, task adaptedness, support of CEO, maturity of IT infrastructures, and degree of education/training. Second, the uTradeHub acceptance factors having an effect on user satisfaction are relative advantages, task adaptedness, support of CEO, maturity of IT infrastructures, and degree of education/training. Third, system usefulness showed a significant effect on user satisfaction.

Schiller's 'Beautiful Soul' and Kant and Shaftesbury ("실러의 칸트 수용과 '아름다운 영혼' 그리고 샤프츠베리")

  • Kim, Joo-whee
    • Journal of Korean Philosophical Society
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    • v.148
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    • pp.101-128
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    • 2018
  • While there are various opinions about the relationship of Schiller's thought and Kant's, it is undeniable that Schiller owes much to Kant. What distinguished Schiller from other Weimar thinkers at his time, such as Goethe, Herder and Wieland, was that unlike them Schiller accepted Kant's project of critical philosophy. In fact, Schiller did not just accept it, but tried to interpret and formulate anew the relation of beauty and morality and some other aesthetical-ethical ideals on the basis of the new philosophy. Schiller's famous project of 'aesthetic education of mankind' itself is the product of such an endeavor. In this work we follow the history of Schiller's acceptance of Kant's critical philosophy and ruminate over its implications. And then, we'll show that Schiller's 'beautiful soul' in Grace and Dignity (1793), which is often suggested to be a proof of Schiller's conflict with Kant, was understood on the basis of Kant's moral theory. In this part of the work, we compare Schiller's ideal of the 'beautiful soul' and Shaftesbury's ethical thought, which is often presumed to be its background. From this comparison we'll be able to see that there is a considerable disparity, despite apparent similarities, between Schiller's and Shaftesbury's ethical ideals, which is due to their respective philosophical sources, that is neo-platonic metaphysics and Kant's critical philosophy.

A Study on Teaching the Method of Lagrange Multipliers in the Era of Digital Transformation (라그랑주 승수법의 교수·학습에 대한 소고: 라그랑주 승수법을 활용한 주성분 분석 사례)

  • Lee, Sang-Gu;Nam, Yun;Lee, Jae Hwa
    • Communications of Mathematical Education
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    • v.37 no.1
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    • pp.65-84
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    • 2023
  • The method of Lagrange multipliers, one of the most fundamental algorithms for solving equality constrained optimization problems, has been widely used in basic mathematics for artificial intelligence (AI), linear algebra, optimization theory, and control theory. This method is an important tool that connects calculus and linear algebra. It is actively used in artificial intelligence algorithms including principal component analysis (PCA). Therefore, it is desired that instructors motivate students who first encounter this method in college calculus. In this paper, we provide an integrated perspective for instructors to teach the method of Lagrange multipliers effectively. First, we provide visualization materials and Python-based code, helping to understand the principle of this method. Second, we give a full explanation on the relation between Lagrange multiplier and eigenvalues of a matrix. Third, we give the proof of the first-order optimality condition, which is a fundamental of the method of Lagrange multipliers, and briefly introduce the generalized version of it in optimization. Finally, we give an example of PCA analysis on a real data. These materials can be utilized in class for teaching of the method of Lagrange multipliers.

Analysis of mathematics test structures and tasks in Abitur (독일 아비투어(Abitur)의 수학시험 체제 및 문항 분석)

  • Kim, Seong-kyeong;Lee, Miyoung
    • The Mathematical Education
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    • v.61 no.2
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    • pp.287-303
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    • 2022
  • The purpose of this study is to draw implications for the improvement in the CSAT by analyzing structures and tasks in the Abitur. To this end, it analyzes the mathematics test system with a focus on the basic and advanced level examination systems, the operator, the using technology, and mathematical formulas. And the characteristics of tasks in the 2021 Abitur were analyzed. As a result of the analysis, first, Germany evaluates whether students have the competency emphasized in the curriculum at Abitur. Second, Germany, which emphasizes the proper use of technology, utilizes both tasks that use technology and those that do not in the Abitur. Third, the Abitur consists of most of the tasks using promised operators and uses various types of operators to present various types of questions to evaluate competence. Fourth, the Abitur includes not only simple structured items consisting of 2-3 subtasks but also tasks dealing in depth with a single situation centered on a big idea. Finally, mathematical justification and proof play an important role in the Abitur. Based on this, some specific measures for improving the CSAT were suggested.