• Journal for History of Mathematics
• /
• v.23 no.4
• /
• pp.17-30
• /
• 2010

The aim of this paper is to classify mathematical revolutions by discussing the concept of revolution, and to suggest criteria to judge mathematical revolutions. I examine the relation between the types and the criteria of mathematical revolutions, and explore what types of revolutions several instances of changes in mathematical knowledge are.

• Communications of Mathematical Education
• /
• v.32 no.3
• /
• pp.245-255
• /
• 2018

In this paper, we discuss efforts that has been made by mathematics departments in Korea to meet the need of the 4th industrial revolution era. First of all, we introduce various industrial mathematics programs that some universities in Korea started to provide in order to nurture math/math education graduate to be prepared for the demand of the society. We also introduced a mathematics for Big Data course that we did offer recently which can be shared.

• Journal for History of Mathematics
• /
• v.20 no.1
• /
• pp.33-44
• /
• 2007

This paper examines a historical case- the French Revolution- of conceptual change in mathematics. The case that is a space of possibility gave birth to a new community of mathematical practitioners. Carnot and Monge shared the particular conceptions of the problems, aims, and methods of a field and contributed to found Ecole Polytechnique. I intend to show how Carnot's and Monge's mathematical endeavours responded to social, political and technological developments in French society.

• The Science & Technology
• /
• v.31 no.5 s.348
• /
• pp.25-27
• /
• 1998

근세에 들어오면서 과학은 산업. 정치의 전반적인 문제와 얽히고 그 영향으로 물리학. 수학이 발달하게 된 계기가 마련되었다. 수학연구는 16세기가 끝나면서 그 당시의 과학 ,기술적 요청에 따라 이탈리아 .독일 등 유럽에서 활발히 움직였다 17세기 '뉴턴의 만유인력의 법칙'등 5대 발견을 계기로 새로운 수학의 시대를 열었으며 18~19세기의 산업혁명과 근대 자본주의 형성 등 사회적 대변동이 근대수학의 새로운 체계를 이루는 산실이 되었다.

• Proceedings of the Korean Society for History of Mathematics Conference
• /
• 1997.11a
• /
• pp.1-1
• /
• 1997

• The Science & Technology
• /
• v.32 no.1 s.356
• /
• pp.26-28
• /
• 1999

'M-이론'의 등장으로 최근 물리학계에 새로운 혁명이 일고 있다. 'M-이론'은 지금까지 양자이론으로 설명하지 못했던 많은 문제들을 해결할 수 있는 길을 열었다. 특히 새로운 수학이나 물리학을 창조하고 새로운 논리와 사고방법을 허용하여 새로운 철학을 전개해 줄 것이라고 사람들은 기대하고 있다.

• Korea Multimedia Society
• /
• v.21 no.4
• /
• pp.33-38
• /
• 2017

• Journal for History of Mathematics
• /
• v.27 no.1
• /
• pp.47-57
• /
• 2014

This paper aims to evaluate works of Frege and G$\ddot{o}$del, who play the trigger role in development of logic, by Knowledge Change Model. It identifies where their positions are in the model respectively. For this purpose I suggest types of knowledge change and their criteria for the evaluation. Knowledge change are classified into five types according to the degree of its change: improvement, weak glorious revolution, glorious revolution, strong glorious revolution, and total revolution. Criteria to evaluate the change are its contents, influence, pervasive effects, and so forth. The Knowledge Change Model consists of the types and the criteria. I argue that in the model Frege belongs to the total revolution and G$\ddot{o}$del to the weak glorious revolution. If we accept that the revolution in logic initiated by Frege was completed by G$\ddot{o}$del, it is a natural conclusion.

• Education of Primary School Mathematics
• /
• v.20 no.3
• /
• pp.237-252
• /
• 2017

The era of the Fourth Industrial Revolution has also influenced the direction of mathematics education. In particular, the convergence capability that recognizes how mathematics can be applied and utilized in various fields is an important point. The purpose of this study is to examine the point of convergence and to develop a fusion program that can be used in the mathematics classroom. Specifically, we analyze the tiles used in ancient Islamic architecture from a mathematical point of view and develop mathematics and multifamily convergence programs based on them. Through the mathematical analysis of the geometric tiling made 500 years earlier than Penrose, I hope that understanding of design, the use of mathematics and the possibility of convergence of other disciplines through mathematics will be widened.

• Journal for History of Mathematics
• /
• v.10 no.2
• /
• pp.1-10
• /
• 1997

The paper aims to analyse the development of algebra and calculus during the Scientific Revolution. It will argue that the introduction of algebra into the learning world was never smooth but invited struggle with traditional geometry, which is well illustrated in the development of calculus in the 17th century. The paper will also demonstrate that the invention and the acceptance of calculus had been influenced by the need of solving practical problems (e. g., motion) during the century.