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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
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Volume & Issues
Volume 18, Issue 4 - Nov 2005
Volume 18, Issue 3 - Aug 2005
Volume 18, Issue 2 - May 2005
Volume 18, Issue 1 - Feb 2005
Selecting the target year
Hopf's Life and Works
Ko Kwanseok ;
Journal for History of Mathematics, volume 18, issue 2, 2005, Pages 1~8
In this paper, we describe H. Hopf's life and works from the historical point of view. We have a very brief mention of history and results prior to Hopf. He raised the question of the topological implications of the sign of curvature. We discuss his contributions in the field of Riemannian geometry.
An Analytic Study on the History of Natural Number Concept
Ko Jung-Hwa ;
Journal for History of Mathematics, volume 18, issue 2, 2005, Pages 9~22
Natural numbers have not yet been studied adequately on the aspect of its historical development in spite of its mathematical and educational importance. This article studied the historical development of natural number concept, that is, its historical meaning in the mathematical development process and influence of cultural and social element in relation with way of understanding number. From these examinations, we identified some characteristics in the history of natural number concept.
The Intuition in History of Mathematical Philosophy and Mathematics
Lee Dae Hyun ;
Journal for History of Mathematics, volume 18, issue 2, 2005, Pages 23~30
Intuition has played an important role in process of invention of mathematics and given understanding of mathematical truth and the direction of solution. So, I review about intuition in history of mathematical philosophy and mathematics because we need systematic research about intuition for search of the methods for enhancement of intuition in mathematics education. According to the research of scholars who emphasize intuitive education, intuition is common feature which everybody hold and is not special feature which particular person hold. In addition, intuition is universal ability that can enhance by proper instruction. So, we have to emphasize the importance of the development of intuition and education which emphasize creative thought via intuition.
Integral Calculus and Natural Arts
Kye Young Hee ;
Journal for History of Mathematics, volume 18, issue 2, 2005, Pages 31~42
Renaissance is revival of the ancient Greek and Roman cultures. So, in Renaissance period, the artists began to study Euclidean geometry and then their mind was a spirit of experience and observation. These spirits is namely modernism. In other words, Renaissance was a dawn of modern times. In this paper, we notice modern spirits and ones social backgrounds. Differential and integral calculus was created by these modern spirits. And in art field, 'painter of light', 'artist of moment' appeared. Because in the 17th and 18th centuries, the intelligentsia researched for motions, speeds and lights.
An Analysis of Application of Mathematical History into Elementary Mathematics Education
Kim Min Kyeong ;
Journal for History of Mathematics, volume 18, issue 2, 2005, Pages 43~54
The aims of the study were to analyze the contents of elementary mathematics curriculum in order to help students to have ideas about the history of mathematics and to apply the ideas to develop their knowledge of mathematicians or mathematical history into the lesson ideas for preservice elementary teachers and elementary students. As a result, many ideas of mathematical connection into the history of mathematics are reviewed, and posters about Pythagoras and Pascal are designed to help students to reinvent the idea of triangular numbers and square numbers
A Historical Study of Cooperative Learning for Mathematics
Lee Joong Kwoen ;
Journal for History of Mathematics, volume 18, issue 2, 2005, Pages 55~74
This research studied loaming model for the purpose of renovation of mathematics teaching methods. Especially, this research classified the types of cooperative teaming, the theoretical background for cooperative learning, the need of cooperative learning in school mathematics, and the differences between cooperative teaming and traditional small group learning. This research also suggested special features of cooperative learning and various types of cooperative learning models. The main types of cooperative loaming which this research supported are TAI(Team-Assisted Individualization, JIGSAW cooperative loaming, JIGSAW II cooperative teaming, JIGSAW III cooperative teaming, STAD(Student Team-Achievement division) cooperative learning, and TGT (Teams - Games - Tournament).
Development of the Evaluation Criterion for Mathematically Gifted Students Creative Product in View of Mathematical History
Kim Sun Hee ;
Journal for History of Mathematics, volume 18, issue 2, 2005, Pages 75~94
This study is intended to develop the criterion for evaluating the creative products that mathematically gifted students produce in their education program to enhance the development of creative productive ability. 1 distinguish the mathematical creativity with the creativity in the general domain, and make the production model of the creative mathematical product grounded on the mathematicians' work through the mathematical history. The model has the following components; the mathematical knowledge, the mathematical thinking and the mathematical inquiry skill, surrounding the resultive creative product. The students products are focused on one component of the model. Thus the criterion for the creative products is grounded on the each component of the model. According to it, teachers could evaluate the students'work, which got the validity and the reliability.
Mathematical Foundations and Educational Methodology of Data Mining
Lee Seung-Woo ;
Journal for History of Mathematics, volume 18, issue 2, 2005, Pages 95~106
This paper is investigated conception and methodology of data selection, cleaning, integration, transformation, reduction, selection and application of data mining techniques, and model evaluation during procedure of the knowledge discovery in database (KDD) based on Mathematics. Statistical role and methodology in KDD is studied as branch of Mathematics. Also, we investigate the history, mathematical background, important modeling techniques using statistics and information, practical applied field and entire examples of data mining. Also we study the differences between data mining and statistics.
The Bridge Suspended by Cables and the History of Investigation of the Equation Induced from It
Nam Hyewon ; Choi Q-Heung ;
Journal for History of Mathematics, volume 18, issue 2, 2005, Pages 107~116
A suspension bridge is an example of a nonlinear dynamical system, especially systems with the so called jumping nonlinearity. The fact that we deal with a serious and topical problem is demonstrated for example by the collapse of the Tacoma Narrow suspension bridge. So it would be very contributive to determine under what conditions a similar situation cannot occur and find out safe parameters of the bridge construction. In this paper, we show various possibilities how to model the behaviour of suspension bridge. Then we introduce our own results concerning existence and uniqueness of time-periodic solutions.
A Historical Note on Permutation Polynomials over Finite Fields
Park Hong Goo ;
Journal for History of Mathematics, volume 18, issue 2, 2005, Pages 117~126
In this paper, we analyze the basic concepts of permutation polynomials over finite fields, and the historical background through the use of the major classes of permutation polynomials over the fields. And also, we find a method of the polynomial representation with respect to cycles on the fields.