• 제목/요약/키워드: Mathematics culture

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Bourbaki와 수학사 (Bourbaki and the HistorT of Mathematics)

  • 이승온;김태수
    • 한국수학사학회지
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    • 제18권3호
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    • pp.79-90
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    • 2005
  • 일차대전 전의 프랑스 수학사는 괄목할 만 하였으나 일차대전 후 프랑스는 독일과 영국에 비하여 완전히 진공 상태였다. 이에 젊은 프랑스 수학자들은 독일로부터 크게 자극을 받아 Bourbaki학파를 생성하고 때마침 사회적으로나 정치적으로 생성된 구조주의(structuralism)와 발맞추어 수학의 구조적 접근을 시도하였다. 우리는 Bourbaki의 생성 과정과 발전 단계를 알아보고 그 구성원들과 그들이 심혈을 기울여 집필한 책들, 그리고 업적에 대하여 조사한 후 Bourbaki학파의 쇠퇴 과정을 살펴 본다.

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Studying The Topic Of The Function Extremum Of Two Variables In The Conditions Of Remote Learning And Application Of Digital Technologies

  • Krupskyi Yaroslav;Tiytiynnyk Oksana;Kosovets Olena;Soia Olena
    • International Journal of Computer Science & Network Security
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    • 제24권1호
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    • pp.1-8
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    • 2024
  • In contemporary education, the rapid advancement of digital technologies elevates demands for integrating the latest tools into the learning process. Mathematical analysis, as a discipline, benefits from computer mathematics in distance education, enhancing practical aspects and enabling individualized learning. This article addresses the integration of the Maple computer mathematics system into higher education, specifically in teaching "Mathematical Analysis." Emphasizing its role in distance learning, computer mathematics optimizes the educational environment, reducing the time required for knowledge acquisition. The article showcases the application of Maple in finding extremum points and introduces an educational software simulator, enabling students to practice the method. The simulator, developed within Maple, facilitates self-checking and enhances the study of functions. Conclusions drawn from the study highlight the positive impact of these tools on distance education, affirming Maple's role in enhancing professional training and information culture among higher education students.

2015 초등 수학 교과서 및 지도서의 수학사 기술내용 분석 (An Analysis of Descriptions about the History of Mathematics in the 2015 Mathematics Textbooks and Teacher Guides for Elementary School Level)

  • 박민구
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제36권1호
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    • pp.171-199
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    • 2022
  • 본 연구에서는 2015 초등 수학 교과서 및 지도서에서 보완이 필요한 수학사 기술내용을 파악하고 이에 대한 보완방안을 제안하고자 한다. 이를 위해 2015 초등 수학 교과서 및 지도서 24종에 대한 문헌연구를 진행하였다. 연구의 결과는 다음과 같다. 2015 초등 수학 교과서 및 지도서에서 보완이 필요한 주제는 총 10가지 주제로 '고대 이집트인의 산술', '고대 이집트 수학 교과서 A'h-mosè 파피루스', '메소포타미아 고아카디안 사각띠', '메소포타미아 고바빌로니아인과 각도', '고대 이집트인과 고바빌로니아인의 원주율', '고대 이집트인과 고바빌로니아인의 $\sqrt{2}$', '이슬람인과 소수', '황금비의 뿌리에 대한 두 가지 주장', 'Archimedes와 실진법', '평면 디자인'이었으며, 이에 대한 구체적인 보완방안을 제안하였다. 이를 통해 기축시대 역사관점을 극복하고 고대 이집트, 고바빌로니아, 고대 그리스와 헬레니즘, 중앙아시아(이슬람 1000년), 유럽으로의 수학문화 전이를 인정하고 수용하게 되기를 기대한다.

The Intended Curriculum and Cultural Traditions - A Comparative Case Study of Berlin and Hong Kong

  • Lui, Ka Wai;Leung, Frederick Koon Shing
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제15권3호
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    • pp.209-228
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    • 2011
  • Many studies such as Pepin (1999a; 1999b), Kaiser (2002), and Park & Leung (2006) revealed that there is a strong dependence of mathematics teaching on cultural traditions in different countries. This study was set up as a detailed comparison between the intended curricula in Berlin and Hong Kong to explore how cultural tradition influenced the intended curriculum. In this study, the intended curriculum is what the (local, state or national) curriculum developers stipulate in the official documents. The German educational system is influenced by the curriculum tradition called Didaktik. Didaktik is a tradition about teaching and learning. Since 16th century, Didaktik has been the most important tool for planning, enacting, and thinking about teaching in most of northern and central Europe (Westbury, 1998). On the other hand, the education system in Hong Kong is influenced by both the Anglo-Saxon curriculum tradition and the Confucian heritage culture (CHC). It was found in this study that, although many studies revealed that there is a strong dependence on cultural traditions of mathematics teaching in different countries, other factors such as social factors or the education system also played an important part in shaping the intended mathematics curriculum. So a simplistic view of dependence of the curriculum on cultural traditions is not warranted. The formation of the curriculum is a much more complicated process encompassing various factors including needs of society, advancement of technology, and government policies at different levels.

예비교사를 위한 수학답사활동 수행 결과 분석 (The Analysis on the Results of Mathematics Field Trips for Pre-service Mathematics Teacher)

  • 서보억
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제30권2호
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    • pp.139-159
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    • 2016
  • 본 연구는 수학교육의 현장을 교실이 아닌 교실 밖으로 확장할 수 있다는 것을 전제로 진행되었다. 최근 수학교육은 다양한 현장체험활동, 실생활을 기반으로 한 수학교육 등의 중요성이 증가되고 있고, 이로 인해 예비교사교육에서도 이에 대한 고려가 필요한 실정이다. 이에 본 연구에서 예비수학교사를 대상으로 수학답사활동을 진행하고, 그 구체적인 적용 결과를 분석하였다. 우리 고유의 역사적 문화재 속에서 실시한 예비교사의 수학답사활동 전후에 대한 인식의 변화에 대한 양적 분석과 더불어, 수학답사활동의 목적인 인지적 효과, 정의적 효과, 문화-수학적 효과, 수학수업 개선 효과 및 수업목표지식, 수업내용지식 측면에서 질적 분석을 실시하였다. 연구결과 수학답사활동은 예비수학교사에게 유의미한 효과가 있는 것으로 나타났고, 새로운 교수학습 방법으로 정착하기 위해 지속적인 연구가 기대된다.

조선시대의 산학서에 관하여

  • 이창구
    • 한국수학사학회지
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    • 제11권1호
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    • pp.1-9
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    • 1998
  • This article explores what is the genuine Koreanness in Korean arithmetic by examining what kind of influence the Chinese arithmetic had on the Korean arithmetic and how the Korean arithmetic scholars had accepted and utilized it. Because the main stream of Korean culture before the end of Chosun dynasty was located under the umbrella of the Chinese philosophy, technique, and culture, it is necessary to make researches on the historical documents and materials in order to establish the milestone in the Korean arithmetic history for the Korean arithmetic scholars. For this research, the arithmetic books published in between the sixteenth century and the end of Chosun dynasty are mainly consulted and discussed, dealing with the bibliographical introduction in the arithmetic Part in Re Outline History of the Korean Science & Technology written by Prof. Yong-Woon Kim.

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불교에서 본 무한 개념에 관한 수학적 고찰

  • 이승우
    • 한국수학사학회지
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    • 제14권1호
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    • pp.41-46
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    • 2001
  • In the western culture, the definition of infinity and finiteness developed into various features, being combined with classical Hebraism and Hellenism, and after modernism, it has been paralleled with natural sciences within the circle of its tradition, whereas the definition of infinity has been showed in Buddhism, the traditional religion, which has been handed down without scientific consideration, in the eastern culture. This is the most notable characteristics between two hemispheres. In this paper, I will show sameness and differences of these two cultures in terms of defining infinity. Also in terms of examining the definition of infinity and finiteness in the Buddhist principles which has been handed down since 600∼500 B.C. I will show how the definition of Buddhist infinity connect with the mathematical definition of today.

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Digital Competence In Education At The Present Stage Of Development Information Society

  • Blahodyr, Liudmyla;Kononenko, Andrii;Kulynych, Olena;Ianytskyi, Taras;Sinelnikova, Valentina;Mykytenko, Tetiana
    • International Journal of Computer Science & Network Security
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    • 제21권8호
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    • pp.13-16
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    • 2021
  • The article defines the hypothesis of the research, it is an assumption that the process of forming ICT competence will be effective if: theoretically substantiated, developed and practically implemented a structural and functional model for the formation of ICT competence, taking into account interdisciplinary integration, the pedagogical conditions that contribute to the formation of ICT competence have been determined: interdisciplinary integration as the basis for building an interdisciplinary course, the content of which is aimed at the formation of ICT competence.

Changes in Classroom Actions of In-Service Middle School Mathematics Teachers Due to Self-Evaluation

  • Ryoo, Ji Hoon;Kwon, Jongkyum;Lee, Dong Yub
    • International Journal of Advanced Culture Technology
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    • 제6권4호
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    • pp.131-142
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    • 2018
  • This research examines the impact of teachers' self-evaluation on their classroom interactions with students. Changes in class behavior were analyzed by following two experienced middle school teachers for one semester of self-evaluation, comparing their classes at the beginning and end of the semester. A qualitative research method was adopted to take, a deeper look at the effect of changes in the teachers' in class actions. Both of the teachers reported positive effects of implementing self-evaluation on their teaching pedagogy, focusing specifically on their interactions with students when asking question and giving feedback. By the end of semester, they were asking broader questions that encouraged their students to engage in deeper thought and, when giving feedback, the class atmosphere was much brighter with better communication due to the positive reinforcement provided. This research supports research into ways to enhance teachers' expertise and improve their teaching via self-evaluation, centering on teachers' actions in the classroom.

Proposal of Electronic Engineering Exploration Learning Operation Using Computing Thinking Ability

  • LEE, Seung-Woo;LEE, Sangwon
    • International Journal of Advanced Culture Technology
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    • 제9권4호
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    • pp.110-117
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    • 2021
  • The purpose of the study is to develop effective teaching methods to strengthen the major learning capabilities of electronic engineering learners through inquiry learning using computing thinking ability. To this end, first, in the electronic engineering curriculum, we performed teaching-learning through an inquiry and learning model related to mathematics, probability, and statistics under the theme of various majors in electronic engineering, focusing on understanding computing thinking skills. Second, an efficient electronic engineering subject inquiry class operation using computing thinking ability was conducted, and electronic engineering-linked education contents based on the components of computer thinking were presented. Third, by conducting a case study on inquiry-style teaching using computing thinking skills in the electronic engineering curriculum, we identified the validity of the teaching method to strengthen major competency. In order to prepare for the 4th Industrial Revolution, by implementing mathematics, probability, statistics-related linkage, and convergence education to foster convergent talent, we tried to present effective electronic engineering major competency enhancement measures and cope with innovative technological changes.