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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
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Journal for History of Mathematics
Journal Basic Information
Journal DOI :
The Korean Society for History of Mathematics
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Volume & Issues
Volume 21, Issue 4 - Nov 2008
Volume 21, Issue 3 - Aug 2008
Volume 21, Issue 2 - May 2008
Volume 21, Issue 1 - Feb 2008
Selecting the target year
A Comparison between Suanxue qimeng(Introduction to Mathematical Studies} and Muksa-jipsanbup
Her, Min ;
Journal for History of Mathematics, volume 21, issue 1, 2008, Pages 1~16
Suanxue qimeng(算學啓蒙) is the introduction to mathematics which greatly influenced Chosun mathematics, Muksa-jipsanbup(默思集算法) imitated the style and the contents of Suanxue qimeng, but contains a lot of problems, secondary solutions and topics which is not in Suanxue qimeng and tried to achieve educational improvement. However Muksa-jipsanbup could not use the method of rectangular arrays(方程術) because it excluded the method of positive and negative(正負術), and has a serious limitation in applying the method of extracting roots by iterated multiplication(增乘開方法) because it avoided the technique of the celestial element(天元術).
A Historical Background of Mathematical Logic and
Park, Chang-Kyun ;
Journal for History of Mathematics, volume 21, issue 1, 2008, Pages 17~28
This Paper introduces a historical background of mathematical logic. Logic and mathematics were not developed dependently until the mid of the nineteenth century, when two streams of logic and mathematics came to form a river so that brought forth synergy effects. Since the mid-nineteenth century mathematization of logic were proceeded while attempts to reduce mathematics to logic were made. Against this background
proof shows the limitation of formalism by proving that there are true arithmetical propositions that are not provable.
Lotfi A. Zadeh, the founder of fuzzy logic
Lee, Seung-On ; Kim, Jin-Tae ;
Journal for History of Mathematics, volume 21, issue 1, 2008, Pages 29~44
Fuzzy logic is introduced by Zadeh in 1965. It has been continuously developed by many mathematicians and knowledge engineers all over the world. A lot of papers concerning with the history of mathematics and the mathematical education related with fuzzy logic, but there is no paper concerning with Zadeh. In this article, we investigate his life and papers about fuzzy logic. We also compare two-valued logic, three-valued logic, fuzzy logic, intuisionistic logic and intuitionistic fuzzy sets. Finally we discuss about the expression of intuitionistic fuzzy sets.
History of the Search for Minimal and Maximal Surfaces
Kim, Young-Wook ; Kim, So-Young ; Kim, Ji-Yean ;
Journal for History of Mathematics, volume 21, issue 1, 2008, Pages 45~78
Theory of minimal surfaces has always been in the center of differential geometry. The most difficult part in minimal surfaces is how to find meaningful examples. In this paper we survey the history of search for minimal surfaces. We also introduce examples of recently emerging maximal surfaces in the Lorentz-Minkowski space and compare the processes in the search for the minimal and the maximal surfaces.
R. L. Moore's Moore Method and its meaning in Korea
Lee, Sang-Gu ; Ree, Sang-Wook ; Kim, Duk-Sun ;
Journal for History of Mathematics, volume 21, issue 1, 2008, Pages 79~96
In early 21st century, universities in Korea has been asked the new roles according to the changes of educational and social environment. With Korea's NURI and Brain Korea 21 project support, some chosen research oriented universities now should produce "teacher of teachers". We look 100 years back America's mathematics and see many resemblances between the status of US mathematics at that time and the current status of Korean mathematics, and find some answer for that. E. H. Moore had produced many good research mathematicians through his laboratory teaching techniques. R. L. Moore was his third PhD students. He developed his Texas/Moore method. In this article, we analyze what R. L. Moore had done through his American School of Topology and Moore method. We consider the meaning that early University of Texas case gives us in PBL(Problem Based Learning) process.
Note on Analytic Feynman Integral on Wiener Space
Lee, Sang-Deok ; Kim, Hyuk ;
Journal for History of Mathematics, volume 21, issue 1, 2008, Pages 97~108
In this paper, we investigate the analytic Feynman integral, the analytic Fourier-Feynman transform and convolution product on Wiener space. We then consider various results between these concepts.
Two original concepts in linear algebra
Pak, Hong-Kyung ;
Journal for History of Mathematics, volume 21, issue 1, 2008, Pages 109~120
Today linear algebra is one of compulsory courses for university mathematics by virtue of its theoretical fundamentals and fruitful applications. However, a mechanical computation-oriented instruction or a formal concept-oriented instruction is difficult and dull for most students. In this context, how to teach mathematical concepts successfully is a very serious problem. As a solution for this problem, we suggest establishing original concepts in linear algebra from the students' point of view. Any original concept means not only a practical beginning for the historical order and theoretical system but also plays a role of seed which can build most of all the important concepts. Indeed, linear algebra has exactly two original concepts : geometry of planes, spaces and linear equations. The former was investigated in , the latter in the present paper.
Development of Web based 3D Figure Learning Program Using JAVA 3D
Kim, Jong-Min ; Ju, Young-Jin ;
Journal for History of Mathematics, volume 21, issue 1, 2008, Pages 121~138
In this study, we designed and developed Web-based 3D figure learning program which can create and control the 3D figures effectively in cyberspace. To develop this learning program, we used the JAVA 3D because JAVA 3D can express 3D figures effectively in cyberspace and is platform independent. This program is very helpful for learners to understand the concept of 3D space and the formulation of space concept effectively. Also it motivates learners to understand 3D figures study and enables Self-Directed-Learning.
Inducing Irrational Numbers in Junior High School
Kim, Boo-Yoon ; Chung, Young-Woo ;
Journal for History of Mathematics, volume 21, issue 1, 2008, Pages 139~156
We investigate the inducing method of irrational numbers in junior high school, under algebraic as well as geometric point of view. Also we study the treatment of irrational numbers in the 7th national curriculum. In fact, we discover that i) incommensurability as essential factor of concept of irrational numbers is not treated, and ii) the concept of irrational numbers is not smoothly interconnected to that of rational numbers. In order to understand relationally the incommensurability, we suggest the method for inducing irrational numbers using construction in junior high school.
Socrates's dialogue and a history of mathematical dialogues in classrooms
Han, Gil-Jun ;
Journal for History of Mathematics, volume 21, issue 1, 2008, Pages 157~166
Mathematical communication is an important goal of recent educational reform. The NCTM's Principle and Standards for School Mathematics, consulting an emphasis on mathematical discourse from 1991 Professional Standards for Teaching Mathematics, has a Communication Standard at each grade level. This paper examines Socrates's educational philosophy and the mathematical dialogue in Plato's. Further it examines mathematical dialogues between teachers and students from antiquity through the nineteenth century.