• Title/Summary/Keyword: 2000 Mathematical Subject Classification

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A Classification and Analysis of the Articles in -From issue 1 to issue 99- (<수학교육>에 게재된 논문의 분류와 분석 -통권 1호부터 통권 99호까지 -)

  • 이강섭
    • The Mathematical Education
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    • v.42 no.2
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    • pp.247-258
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    • 2003
  • In this study, total 486 articles in the journal of the Korea Society of Mathematical Education Series A are classified and analyzed by MSC2000 and ZDM classification. The results are as follows: 1) 2000 Mathematics Subject Classification : (number of articles) 1) 2000 Mathematics Subject Classification : (number of articles) 97- : (31), 97A : (7), 97B : (40), 97D : (229), 97U(105) 2) ZDM classification : (number of articles) A : (36), B (45), C : (57), D : (145), E : (19), F : (27), G : (37) H : (7), I : (19), K : (18), M (4), N : (12), U : (60) 3) Some remarks and suggestions are proposed.

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A Study on the Thoughts and Problems of Philosophy of Mathematics (수리철학의 사상과 과제에 관한 연구)

  • Lee Keon Chang
    • Journal for History of Mathematics
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    • v.18 no.1
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    • pp.67-74
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    • 2005
  • The purpose of this paper is to analysis with contents on thoughts and problems of philosophy of mathematics concerning around harmonical types of metaphysics and philosophy of mathematics. Moreover, we were gratefully acknowledged that the questions at issue of metaphysics and philosophy of mathematics are possible only in a philosophical position of mathematics in relation to nature of mathematical ion. These attitudes, important as they are in the study of an individual thinker, also have a pronounced effect on the future relation of mathematics to philosophy. And we can guess that many mathematician's research will have significant meaning in the future.

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Felix Christian Klein (펠릭스 클라인의 수학과 교육 개혁)

  • Kim Sung Sook;Kim Ju Young
    • Journal for History of Mathematics
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    • v.17 no.4
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    • pp.77-86
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    • 2004
  • 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.

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Knowledge Construction on Mathematics Problem Solving (수학 탐구학습에서 지식 형성에 대한 연구)

  • 이중권
    • Journal for History of Mathematics
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    • v.17 no.3
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    • pp.109-120
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    • 2004
  • This study investigated three pre-service teachers' mathematical problem solving among hand-in-write-ups and final projects for each subject. All participants' activities and computer explorations were observed and video taped. If it was possible, an open-ended individual interview was performed before, during, and after each exploration. The method of data collection was observation, interviewing, field notes, students' written assignments, computer works, and audio and videotapes of pre- service teachers' mathematical problem solving activities. At the beginning of the mathematical problem solving activities, all participants did not have strong procedural and conceptual knowledge of the graph, making a model by using data, and general concept of a sine function, but they built strong procedural and conceptual knowledge and connected them appropriately through mathematical problem solving activities by using the computer technology.

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Mathematics Education of the Chosun Dynasty Based on the Chosun Dynasty Authentic Record (조선왕조실록으로 본 조선시대의 수학교육)

  • Park Hyung Bin;Bang Joo Hyun
    • Journal for History of Mathematics
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    • v.18 no.1
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    • pp.11-32
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    • 2005
  • This paper is a comprehensive study of mathematics education in the Chosun Dynasty. The basis of this work relies on actual historical records from the period. As shown in the records, mathematics education during the Chosun Dynasty remained at the level of basic arithmetics. The arithmeticians of the Chosun Dynasty did not have an understanding of more complex mathematical thought. But the simple arithmetics of the Chosun Dynasty facilitated the building up of a unique merchant 'middle class.' So this paper examines the development of mathematics in the Chosun Dynasty through middle class. Although the Chosun Dynasty arithmetics occupy a significant part of mathematics history, this paper details why their thought did not evaluate more advanced mathematical theories.

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The History of Mathematical Problem Solving and the Modeling Perspective (수학 문제 해결의 역사와 모델링 관점)

  • Lee Dae Hyun;Seo Kwan Seok
    • Journal for History of Mathematics
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    • v.17 no.4
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    • pp.123-132
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    • 2004
  • 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.

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Students' Conceptual Development of Eigenvalue and Eigenvector in Reformed Differential Equation Course (개혁 미분 방정식 수업에 기반한 학습자의 고유치 고유벡터 개념 발생 및 이해)

  • Shin Kyunghee
    • Journal for History of Mathematics
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    • v.17 no.4
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    • pp.133-152
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    • 2004
  • 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.

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The Excess and Deficit Rule and The Rule of False Position (동양의 영부족술과 서양의 가정법)

  • Chang Hyewon
    • Journal for History of Mathematics
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    • v.18 no.1
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    • pp.33-48
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    • 2005
  • The Rule of False Position is known as an arithmetical solution of algebraical equations. On the other hand, the Excess-Deficit Rule is an algorithm for calculating about excessive or deficient quantitative relations, which is found in the ancient eastern mathematical books, including the nine chapters on the mathematical arts. It is usually said that the origin of the Rule of False Position is the Excess-Deficit Rule in ancient Chinese mathematics. In relation to these facts, we pose two questions: - As many authors explain, the excess-deficit rule is a solution of simultaneous linear equations? - Which relation is there between the two rules explicitly? To answer these Questions, we consider the Rule of Single/Double False Position and research the Excess-Deficit Rule in some ancient mathematical books of Chosun Dynasty that was heavily affected by Chinese mathematics. And we pursue their historical traces in Egypt, Arab and Europe. As a result, we can make sure of the status of the Excess-Deficit Rule differing from the Rectangular Arrays(the solution of simultaneous linear equations) and identify the relation of the two rules: the application of the Excess-Deficit Rule including supposition in ancient Chinese mathematics corresponds to the Rule of Double False Position in western mathematics. In addition, we try to appreciate didactical value of the Rule of False Position which is apt to be considered as a historical by-product.

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${\lambda}$-calculus (${\lambda}$-연산 소개)

  • Cheong Kye-Seop
    • Journal for History of Mathematics
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    • v.17 no.4
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    • pp.45-64
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    • 2004
  • 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.

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A Study for the Values of the Nine Chapters on the Mathematical Art on Mathematics Educational Viewpoint (구장산술의 수학교육학적 가치에 대한 연구)

  • 한길준;서주연
    • Journal for History of Mathematics
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    • v.17 no.3
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    • pp.61-72
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    • 2004
  • In this paper, we investigate several values of the Nine Chapters on the Mathematical Art on mathematics educational viewpoint. We study them with four points of view: mathematical approach through problems of real life, algorithmization of concept and type, significance of affective domain and application of arithmetic. The result shows that the Nine Chapters on the Mathematical Art have great meaning of today's Korean mathematics education and possibility of application.

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