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REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
> Journal Vol & Issue
Journal for History of Mathematics
Journal Basic Information
Journal DOI :
The Korean Society for History of Mathematics
Editor in Chief :
Volume & Issues
Volume 17, Issue 4 - Nov 2004
Volume 17, Issue 3 - Aug 2004
Volume 17, Issue 2 - May 2004
Volume 17, Issue 1 - Feb 2004
Selecting the target year
Theory of Equations in Chosun Dynasty
Hong Young Hee ;
Journal for History of Mathematics, volume 17, issue 4, 2004, Pages 1~16
Investigating theory of equations in Chosun Dynasty mathematics books Mooksa-jipsanbub, Guiljib(九一集), Chageunbangmonggu(借根方夢求), Sanhakjungeui (算學正義), and Iksan(翼算), we study the history of equation theory in Chosun Dynasty. We first deal with development of representation of polynomials and equations and then method how to solve them.
Reflections on Deployment of Modernism in Mathematics in the Eighteenth Century
Park Chang Kyun ;
Journal for History of Mathematics, volume 17, issue 4, 2004, Pages 17~26
This paper claims that an essential characteristic of modernism is mathematization, and introduces how mathematization was deployed in the eighteenth century. It also points out problems caused by mathematization.
del's Critique of Turings Mechanism
Hyun Woosik ;
Journal for History of Mathematics, volume 17, issue 4, 2004, Pages 27~36
This paper addresses G
del's critique of Turing's mechanism that a configuration of the Turing machine corresponds to each state of human mind. The first part gives a quick overview of Turing's analysis of cognition as computation and its variants. In the following part, we describe the concept of Turing machines, and the third part explains the computational limitations of Turing machines as a cognitive system. The fourth part demonstrates that Godel did not agree with Turing's argument, sometimes referred to as mechanism. Finally, we discuss an oracle Turing machine and its implications.
On Depth Formula and Tor Game
Choi Sangki ;
Journal for History of Mathematics, volume 17, issue 4, 2004, Pages 37~44
Homological algebra has emerged and developed since 1950s. However, in 1890's Hilbert investigated the resolutions in his Syzygy Theorem which is a vital ingredient in homological algebra. In 1956 Serre has proved the finite global dimension of regular local rings. His result give a basic tool in homological algebra. This paper also deals with the depth formula that was raised by Auslander in 1961.
Cheong Kye-Seop ;
Journal for History of Mathematics, volume 17, issue 4, 2004, Pages 45~64
The lambda calculus is a mathematical formalism in which functions can be formed, combined and used for computation that is defined as rewriting rules. With the development of the computer science, many programming languages have been based on the lambda calculus (LISP, CAML, MIRANDA) which provides simple and clear views of computation. Furthermore, thanks to the "Curry-Howard correspondence", it is possible to establish correspondence between proofs and computer programming. The purpose of this article is to make available, for didactic purposes, a subject matter that is not well-known to the general public. The impact of the lambda calculus in logic and computer science still remains as an area of further investigation.stigation.
Mathematics in Korean Traditional Music
Kim Ki-Won ; Ahn Sun-Phill ;
Journal for History of Mathematics, volume 17, issue 4, 2004, Pages 65~76
Even though mathematics and music play very different roles in our society, they are closely related to each other. In this paper, we studies relations between mathematics and Korean traditional music, and give some ideas to use such relations in mathematics education.
Felix Christian Klein
Kim Sung Sook ; Kim Ju Young ;
Journal for History of Mathematics, volume 17, issue 4, 2004, Pages 77~86
Felix Klein profoundly influenced mathematical developments throughout the world by showing a new direction for modem geometry. He also influenced the lives of excellent scientists like Einstein by reforming mathematical education. The first Felix Klein medal of the Internal Commission on Mathematical Instruction was awarded at ICME-10 in July of 2004. In this article, we discuss Klein's Erlangen Program and investigate his influence on modem mathematics and mathematical education with this medal as momentum.
The Influence of the History of Mathematics on the School Mathematics
Ko Ho Kyoung ;
Journal for History of Mathematics, volume 17, issue 4, 2004, Pages 87~100
There is great enthusiasm among many mathematics educators to seek to understand how mathematical history can be employed to emphasize the usefulness of mathematics and to make it even more useful. This study focused on reviewing the history of mathematics to provide a 'source of insight.' In this study, the reasons for including the history of mathematics in the mathematics curriculum were divided into three domains: cognitive, affective, and sociocultural. Each domain included the followings: mathematical thinking and understanding; development of a positive attitude and increase motivation; and last, humanistic facets and sociocultural experience. At the same time, we need to develope a pedagogical approach that allows educators to use history properly. Furthermore, we must integrate the historical topics into regular curricula including the syllabus historically-informed grounds.
On Education of Mathematics Using the History of Mathematics II -Focused on geometry-
Pak Hong Kyung ; Kim Tae Wan ; Jung Inchul ;
Journal for History of Mathematics, volume 17, issue 4, 2004, Pages 101~122
It has been always the issue to discuss 'how we teach mathematics' for the mathematical learning. As for an answer to this, it was suggested to use the history of mathematics. The reason is simple that is, the education of mathematics requires to understand mathematics and to know the history of mathematics is effective for mathematical understanding. In particular, the history of algebra was discussed to some extent as an illustration. This study focuses on the history of geometry from this point of view. We review the history of geometry by comparison in terms of three criteria from the origin of geometry to modem differential geometry in the middle of the 20th century, which are backgrounds (inner or outer ones), characterizations (approach, method, object), influences to modem mathematics. As an application of such historical data to the education of mathematics, we pose the problem to determine the order of instruction in mathematics.
The History of Mathematical Problem Solving and the Modeling Perspective
Lee Dae Hyun ; Seo Kwan Seok ;
Journal for History of Mathematics, volume 17, issue 4, 2004, Pages 123~132
In this paper, we reviewed the history of mathematical problem solving since 1900 and investigated problem solving in modeling perspective which is focused on the 21th century. In modeling perspective, problem solvers solve the realistic problem which includes contextualized situations in which mathematics is useful. In this case, the problem is different from the traditional problems which are routine, close, and words problem, etc. Problem solving in modeling perspective emphasizes mathematizing. Most of all, what is important enables students to use mathematics in everyday problem solving situation.
Students' Conceptual Development of Eigenvalue and Eigenvector in Reformed Differential Equation Course
Shin Kyunghee ;
Journal for History of Mathematics, volume 17, issue 4, 2004, Pages 133~152
In this paper, we discuss students' conceptual development of eigen value and eigen vector in differential equation course based on reformed differential equation using the mathematical model of mass spring according to historico-generic principle. Moreover, in setting of small group interactive learning, we investigate the students' development of mathematical attitude.