• Title/Summary/Keyword: Mathematical History

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Instructions of History of Mathematics with Mathematical Machines (수학기계를 활용한 수학사 수업)

  • Kwon, Oh Nam;Park, Jung Sook;Kim, Eun Ji
    • Journal for History of Mathematics
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    • v.26 no.4
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    • pp.301-320
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    • 2013
  • Although many people have recognized the importance of history of mathematics in mathematics education, there are few studies that history and mathematics educations are connected. In this paper, we present and discuss the ways of introducing the instruction with mathematics machines. This instruction use the history of mathematics as part of a class not as a tool to stimulate students' interest but as a goal that it can be targeted mathematical itself. To do this, we first analyze the characteristics of applying history of mathematics in mathematical education, second, describe the meaning and the educational value of mathematical machines, and finally explained the way of applying history of mathematics with mathematics machines. The Instruction of history of mathematics with mathematics machines has advantages that practice (manipulation and experiment) and theory (elaboration of definition, production of conjectures and constructions of proofs) are interlaced within a historic-cultural perspective.

The Influence of Mathematical History-Based Mathematics Teaching on Mathematical Communication and Attitudes of Elementary Students (의사소통 중심의 수학사 기반 수업이 초등학생의 수학적 의사소통과 태도에 미치는 영향)

  • Heo, Do-Ha;Oh, Young-Youl
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.2
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    • pp.463-485
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    • 2011
  • This study was to investigate the effects of mathematical history-based mathematics teaching on mathematical communication and attitudes of elementary students, through selecting mathematical history content to apply to elementary mathematics and devising an instruction model to use effectively. For this purpose, while the experimental group received instruction using mathematical history and the comparative group lecture-based instruction using the common textbook, both quantitative and qualitative methods were employed to analyze gathered data. To conclusion, first, instructions using mathematical history were helpful for increasing the student's participation in communication, and secondly helped the students justify their opinions to others with mathematical logic.

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근대 수학교육의 역사에 나타난 수학교육관

  • 김종명
    • Journal for History of Mathematics
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    • v.11 no.2
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    • pp.43-54
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    • 1998
  • In this paper we analyze the variety of outlook on the mathematical education as in the history of modern mathematical education and suggest the direction of outlook on the mathematical education in the future.

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Review of participations of the Korean National Team in the International Mathematical Olympiad and discussions for improvements (한국의 국제수학올림피아드 참가의 성과 및 개선점 논의)

  • YI, Seunghun
    • Journal for History of Mathematics
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    • v.28 no.5
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    • pp.279-297
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    • 2015
  • In the present study, we review the history of the participations of the Korean national team in the International Mathematical Olympiad for 28 years. We identifiy three major events that highlighted the development of the Korean Mathematical Olympiad program: The first participation in the International Mathematical Olympiad, hosting of the International Mathematical Olympiad, and winning the first place in the International Mathematical Olympiad. We also propose some recommendations for next steps to facilitate the development of Mathematical Olympiad in Korea.

A Direction of a Complement of the Elementary School Mathematics History Described in the Texts - Focusing on Mathematical Transculture (초등학교 수학 교과서가 다루는 수학사의 보완 방안 -수학문화의 전이를 중심으로-)

  • Park, Jeanam
    • Communications of Mathematical Education
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    • v.28 no.4
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    • pp.493-511
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    • 2014
  • In this paper, we study the major mathematical history appeared in the elementary school mathematics textbooks. School mathematical history described in the texts reflects the axial age, and deals with mathematical transculture from the ancient Greek into Europe without the Islamic mathematics. We discuss about them through out the elementary school textbooks and give some directions for the problems.

묵사집산법의 하자

  • 류인영
    • Journal for History of Mathematics
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    • v.12 no.2
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    • pp.63-82
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    • 1999
  • The ways of mathematical meditative concentration of one's attentive calculation are the important records of the mathematics in the Korean mathematical history. Through them, we can find the methods of the mathematical thinking several generations ago, and presume the styles of life in the Chosun dynasty as men see the ancient life by the fossils. Thus we need to see them out of our unconcerns and rearrange them from the disorder without distortions.

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A Study on Effect of Learner Centered Mathematical Club Based on Mathematics History (수학사 기반 학습자 중심 수학동아리 효과 분석 연구)

  • Boo, Deok Hoon
    • Journal for History of Mathematics
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    • v.28 no.1
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    • pp.45-62
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    • 2015
  • This study assumes alternative character of the operation of mathematical club in middle school. The case that operated the voluntary mathematics club for one year was analyzed and the educational effect was considered. First, the examination instrument for choosing the members of mathematics club was developed and used. And, diverse teaching and learning materials for improving creativity and mathematical ability of the members were used. Second, the difference of learning result between the experiment group and control one who joined the activities of mathematics club was analyzed. Finally, mathematical club activity based on mathematics history appeared to be effective in improving academic achievement and mathematics exploration activity.

History of ICMI and Mathematics education (ICMI의 역사와 수학교육)

  • Kim, Sung-Sook;Khang, Mee-Kyung
    • The Mathematical Education
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    • v.50 no.3
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    • pp.329-335
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    • 2011
  • There has been an ongoing symbiotic relationship between the history of the International Commission on Mathematical Instruction(ICMI) and the broader history of mathematics education since 1908. Similarly, the International Congress on Mathematical Education(ICME) has played an important role in the direction of Mathematics education since its first congress in 1969. ICME-12 is due to be held in Seoul, Korea from July $8^{th}$ to $15^{th}$ 2012. To date, there has been no research paper concerning the history of the ICMI published in any Korean journal. In readiness for the upcoming ICME-12, this paper aims to provide a comprehensive overview of the history of the IMCI from the perspective of Mathematics education.

Analysis on Using the History of Mathematics in Chinese Mathematics Textbooks (중국 수학 교과서의 수학사 활용 분석)

  • Chang, Hyewon
    • Journal for History of Mathematics
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    • v.28 no.1
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    • pp.15-29
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    • 2015
  • This study aims to analyze how the history of mathematics is used in Chinese mathematics textbooks. As a framework for analysis, we categorized nine types of using the history of mathematics in textbooks. We analyzed 18 mathematics textbooks for Chinese elementary and middle schools. As a result, we found that various types of using the history of mathematics were adopted in Chinese textbooks except for explorations of mathematical errors in history. We also noticed three characteristics: preference to using for motivation and reading matters in elementary school levels, high frequencies of using problems from traditional mathematical books and origins of mathematical concepts or symbols, and emphasis on ethnic superiority through the Chinese traditional mathematics. Based on the results of analysis, we discussed and induced some implications for using the history in our mathematics textbooks.

The Effect of using Teaching-Learning Materials from Mathematical History, with Illustrations of the Impact Students -Centered around Sequence Chapter of Mathematics I- (수학사 및 예화자료를 활용한 교수.학습이 학생들에게 미치는 효과 -수학 I 수열 단원을 중심으로-)

  • Yoon Dae-Won;Park Sun-Jung
    • Communications of Mathematical Education
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    • v.20 no.3 s.27
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    • pp.343-359
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    • 2006
  • The purpose of this research is to study the effect of using teaching materials related to the chapter on the mathematical history of sequence and to propose practical ways for teachers to use the materials in class. This study will show how to employ mathematical history to illustrate the practical use of mathematics, arouse students' interest, and improve the understanding of mathematics of students who are not interested in mathematics.

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