• Communications of Mathematical Education
• /
• v.12
• /
• pp.67-82
• /
• 2001

발생적 원리는 수학을 공리적으로 전개된 완성된 것으로 가르치는 형식주의의 결함을 극복하기 위하여 제기되어온 교수학적 원리로, 수학을 발생된 것으로 파악하고 그 발생을 학습과정에서 재성취하게 하려는 것이다. 특히, 수학을 지도함에 있어서 역사적으로 발생, 발달한 순서를 지켜 지도해야 한다는 것이 역사-발생적 원리로, 수학이 역사적으로 발생, 발달 되어온 역동적인 과정을 학생들이 재경험해 보게 하기 위해서는 이러한 일련의 과정을 효과적으로 설명할 수 있는 교수-학습 방법이 필요하다. 변증법적인 방법론은 헤겔에 의해서 꽃을 피운 철학으로, 정일반일합(正一反一合)의 원리에 따라 사물의 발생과 진화 과정을 역동적으로 설명할 수 있는 방법론이다. 따라서, 본 연구는 초등학교에서 역사-발생적 원리에 따라 수학을 지도할 수 있는 방법으로 변증법적인 방법을 고찰하여, 역사-발생적 원리의 수학 교수-학습 방법에 대한 시사점을 얻고자 한다.

• Journal for History of Mathematics
• /
• v.18 no.3
• /
• pp.91-106
• /
• 2005

History of mathematics must be analysed to discuss mathematical reality and thinking. Analysis of history of mathematics is the method of understanding mathematical activity, by these analysis can we know how historically mathematician' activity progress and mathematical concepts develop. In this respects, we investigate teaching algebra through historico-genetic analysis and propose historico-genetic analysis as alternative method to improve of teaching school algebra. First the necessity of historico-genetic analysis is discussed, and we think of epistemological obstacles through these analysis. Next we focus two concepts i.e. letters(unknowns) and negative numbers which is dealt with school algebra. To apply historico-genetic analysis to school algebra, some historical texts relating to letters and negative numbers is analysed, and mathematics educational discussions is followed with experimental researches.

• Journal for History of Mathematics
• /
• v.18 no.4
• /
• pp.39-48
• /
• 2005

Many researchers consider Mesopotamian mathematics as the earliest form of mathematics. The aim of this article is to provide a brief overview of the environmental and social background which made mathematical development. Historically. mathematics is always a product of society. So it is valuable to study historical background which have produced mathematics.

• The Journal of the Korea Contents Association
• /
• v.14 no.7
• /
• pp.93-102
• /
• 2014

Recently, various types of dramas have been broadcasted in Korea. Especially, historical dramas having backgrounds about historical events or characters have been recorded high ratings of the viewing audience, as well as a lot of influence on many parts of Korean society. Besides, the historical drama like raised a craze for popular Korean cultures in many Asian countries. The subjects and characters of historical drama are diversifying in recent years. For example, is a royal cook, is a story about running away slaves and their chaser, is a story about a very well-known painter of the Joseon Dynasty era, and is a veterinarian. At this point, in celebration of the officially appointed "year of mathematics", it is very meaningful to demonstrate the importance of mathematics with a historical drama about mathematics and mathematicians of the Joseon Dynasty. In this article, the reasons for production of historical dramas about mathematics and mathematicians in the Joseon Dynasty was presented in two ways. First, modern mathematics has high level of abstractness as its nature, and therefore many students and the public can not understand what except for some areas. Second, it is possible the easier and various approaches can be used to deal with contents about real-life in the view of popularization of mathematics. Also, this article would aim to explore the main character and episodes about mathematics and mathematicians in Joseon Dynasty. For example, the anecdote of Hong Jung Ha, the works of mathematics in the King Sejong's periods, the study of Hong Gil Ju, the joint researches between Nam Byung Gil and Lee Sang Hyuk, the story of Lee Seung Hun, and the mathematics study of middle class people.

• Journal for History of Mathematics
• /
• v.18 no.2
• /
• pp.9-22
• /
• 2005

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.

• Proceedings of the Korea Society of Mathematical Education Conference
• /
• 2010.04a
• /
• pp.179-182
• /
• 2010

광복이후 우리나라의 역사가 역동적이며 현재도 계속 움직이고 있다면, 수학교육의 역사도 그러할 것이다. 현재의 수학교육은 광복이후 수학교육을 지탱하고 발전시킨 많은 수학교육자들의 노력의 결과라 할 수 있을 것이다. 광복이후 지금까지의 수학교육의 역사 중에서 가장 주목할 만한 일이 수학교육학회의 창립이 될 것이다. 수학교육학회의 창립을 통해, 수학교육의 다양한 연구들, 요구들을 체계적으로 담아낼 수 있었다. 우리나라에서 가장 먼저 창립된 것이 한국수학교육학회이다. 박한식(1993, p.1)에 의하면, '수학교육에 있어서의 세계 각국의 정보를 서로 교환하고, 보급하며, 그리고 수학교육계에 수학교육을 연구하는 분위기를 조성할 필요가 있다고 하는데 인식을 같이 하는 수학교원들이 모여서 한국수학교육회를 만들게 되었고, 창립일을 1962년의 한글날인 10월 9일로 정하였다'고 하였다. 즉 수학교육에 관련된 다양한 연구의 활성화, 수학교육의 세계화를 표방하면서, 한국수학교육학회가 창립되었다. 이때의 창립 주체의 한 분이 박한식 교수였다. 박한식 선생은 창립부터 1992년 8월까지 한국수학교육학회의 회장으로, 우리나라 수학교육계를 이끌어왔다. 본 연구에서는 박한식 선생의 수학교육에 대한 연구논문들을 살펴보고, 이들 중의 몇몇 연구를 분석하여, 수학교육에 대한 박한식 선생의 관점을 살펴볼 것이다

• Journal for History of Mathematics
• /
• v.24 no.4
• /
• pp.119-141
• /
• 2011

This paper analysed the mathematical paradoxes which would be based in the probability and statistics. Teachers need to endeavor various data in order to lead student's interest. This paper says mathematical paradoxes in mathematics education makes student have interest and concern when they study mathematics. So, teachers will recognize the need and efficiency of class for using mathematical Paradoxes, students will be promoted to study mathematics by having interest and concern. These study can show the value of paradoxes in the concept of probability and statistics, and illuminate the concept being taught in classroom. Consequently, mathematical paradoxes in mathematics education can be used efficient studying tool.

• Journal for History of Mathematics
• /
• v.19 no.1
• /
• pp.55-64
• /
• 2006

The thesis is about the development of mathematics starting from the old Greece and the old Babylonia. The modem mathematics has been developed, based on the set theory in the axiomatic method since the 19th century. The primary impetus of this thesis will be to summary the development of topology.

• School Mathematics
• /
• v.5 no.4
• /
• pp.521-540
• /
• 2003

The processes of mathematics development and the results of it are always those of making a conquest of the circumscription by historical inevitability within the historical circumscription. It is in this article that I try to show this processes through the history of calculus. This article develops on the basis of the dialectical materialism. It views the change and development as the facts that take place not by individual subjective judgments but by social-historical material conditions as the first conditions. The dialectical materialism is appropriate for explaining calculus treated in full-scale during the 17th century, passing over ahistorical vacuum after Archimedes about B.C. 4th century. It is also appropriate for explaining such facts as frequent simultaneous discoveries observed in the process of the development of calculus. 1 try to show that mathematics is social-historical products, neither the development of the logically formal symbols nor the invention by subjectivity. By this, I hope to furnish philosophical bases on the discussion that mathematics teaching-learning must start from the real world.

• School Mathematics
• /
• v.5 no.4
• /
• pp.555-572
• /
• 2003

In this study we analyze critically the educational studies on the history of mathematics, and the results of the questionnaires to the mathematics teachers and mathematics teacher educators and interviews with them in order to highlight the problems which ought to be settled for more efficient using the history of mathematics in the mathematics classes. We ought to deepen the understanding of the meaning of mathematical concepts and its essential viewpoints through the historical development of mathematics, going beyond the interest and motivation of learning mathematics. In this respect there are insufficient sides in the results of the educational studies in the history of mathematics and in the recognition of the mathematics teachers about using history of mathematics. And the teachings of the history of mathematics in the mathematics teachers education courses are not sufficient in that they just survey the history of mathematics, and it is the very important task to develop the historic-genetic materials in the school mathematics and study the historic-genetic approach to the mathematics texts.