• Journal for History of Mathematics
• /
• v.21 no.4
• /
• pp.105-126
• /
• 2008

This article summarizes the historical changes of the secondary school geometry to give insights into the new direction of geometry education for the 21th century. Geometry has been considered as an essential subject in high school since mid-nineteen century in accordance with the social changes. Since the development of computer softwares such as CAD effects on the role of geometry in work and professional societies, the knowledge and skills the contemporary world require to school geometry have being changed. More focus on applications and modeling aspects, expansion of reasoning and problem solving, emphasis on design-related elements are features of the school geometry for the new century.

• Journal of Educational Research in Mathematics
• /
• v.16 no.1
• /
• pp.1-23
• /
• 2006

It is regarded as critical to analyse and re-appreciate Euclidean geometry for the sake of improving school geometry This study, a critical analysis of demonstrative plane geometry in current secondary school mathematics with an eye to the viewpoints of 'Elements of Geometry', is conducted with this purpose in mind. Firstly, the 'Elements' is analysed in terms of its educational purpose, concrete contents and approaching method, with a review of the history of its teaching. Secondly, the 'Elemens de Geometrie' by Clairaut and the 'histo-genetic approach' in teaching geometry, mainly the one proposed by Branford, are analysed. Thirdly, the basic assumption, contents and structure of the current textbooks taught in secondary schools are analysed according to the hypothetical construction, ordering and grouping of theorems, presentations of proofs, statements of definitions and exercises. The change of the development of contents over time is also reviewed, with a focus on the proportional relations of geometric figures. Lastly, tile complementary way of integrating the two 'Elements' is explored.

• KLA journal
• /
• v.54 no.1
• /
• pp.19-23
• /
• 2012

1920년대 문을 연 서울특별시교육청 소속 공공도서관은 그저 시설과 장서를 갖추고 그야말로 가장 기본적인 서비스만 제공하였다. 그러다가 이용자수도 늘어나고 그들의 요구도 다양해지면서 독서교실을 비롯한 독서관련 프로그램을 운영하게 되었고, 현재는 독서는 물론 취미 교양, 인문학강좌 등 거의 모든 분야에 걸쳐 다양한 프로그램 및 행사를 진행하고 있다. 도서관 및 평생학습관의 프로그램은 기관마다 조금씩 차이는 있지만 대개 독서교실처럼 독서 관련 프로그램들이 주류를 이뤄 왔으나 평생교육프로그램(문화교실)이 기하급수적으로 늘어나면서 교양 취미생활까지 광범위하게 운영되고 있다. 또한 2000년대 중반부터 시작된 도서관 평가에 프로그램 및 행사가 많은 비중을 차지하면서 양적, 질적 성장을 보이고 있다. 여기서는 서울특별시교육청 소속 공공도서관 및 평생학습관의 변천 중 프로그램 및 행사 부문에 대하여 주요 내용과 특색, 성과 등을 대략적으로 살펴보면서 바람직한 방향을 모색해 보고자 한다.

• Journal of the Korean School Mathematics Society
• /
• v.11 no.3
• /
• pp.337-362
• /
• 2008

Nowadays the education of Mathematics is more important than any other courses in the school. But the most students have felt the difficulty and uncomfortableness in studying Mathematics, especially the geometry course. Moreover teachers also consider that the teaching of geometry is the hardest part of Mathematics. Therefore we suggest an effective method of teaching the geometry course for the middle school students. We provide the activity papers which contain mathematics problems based on the practical life of students. And we analyze the effects of the activity papers using the questionnaire.

• Journal for History of Mathematics
• /
• v.23 no.4
• /
• pp.83-100
• /
• 2010

This paper is to raise several questions in teaching the Graph and Linear Transformation complied with the Mathematics Amended Curriculum announced in 2006 Aug. and then to formulate a plan accordingly. For this, we'll take a good look at the prior studies on the Graph and Linear Transformation after the announcement of the 7th School Curriculum along with the changes in their contents through the process of curriculum. Then we'll check over learning factors of the Graph and Linear Transformation in all 27 kinds of the authorized textbooks - 'Mathematics I', 'Applications of Mathematics', and 'Geometry and Vectors' - and 27 kinds of exercise books issued on 2009. By this, we put measures which improve understanding and apply correctly to the Graph and Linear Transformation in the Mathematics Amended Curriculum to high school teachers.

• Journal of Educational Research in Mathematics
• /
• v.20 no.4
• /
• pp.529-546
• /
• 2010

This study aims to analyze and criticize the definition of the similarity concept in mathematical texts by investigating mathematical history. At first, we analyzed the definition of Pythagoras, the definition of Euclid's ${\ll}$Elements${\gg}$, the definition of Clairaut's ${\ll}$Elements of geometry${\gg}$, the postulate of Brkhoff's postulates for plane geometry, the definition of Birkhoff & Beatly의 ${\ll}$Basic Geometry${\gg}$. the definition of SMSG ${\ll}$Geometry${\gg}$. and the definition of the similarity concept in current mathematics texts. Then we criticized the definition of the similarity concept in current mathematics texts based on mathematical history. We critically discussed three issues and gave three suggestions.

• Journal of Educational Research in Mathematics
• /
• v.8 no.2
• /
• pp.565-586
• /
• 1998

Like many other school subjects, terminology is a starting point of mathematical thinking, and plays a key role in mathematics learning. Among several areas in mathematics, geometry is the area in which students usually have the difficulty of learning, and the new terms are frequently appeared. This is why we started to investigate geometric terms first. The purpose of this study is to investigate geometric terminology in school mathematics. To do this, we traced the historical transition of geometric terminology from the first revised mathematics curriculum to the 7th revised one, and compared the geometric terminology of korean, english, Japanese, and North Korean. Based on this investigation, we could find and structuralize the following four issues. The first issue is that there are two different perspectives regarding the definitions of geometric terminology: inclusion perspective and partition perspective. For example, a trapezoid is usually defined in terms of inclusion perspective in asian countries while the definition of trapezoid in western countries are mostly based on partition perspective. This is also the case of the relation of congruent figures and similar figures. The second issue is that sometimes there are discrepancies between the definitions of geometric figures and what the name of geometric figures itself implies. For instance, a isosceles trapezoid itself means the trapezoid with congruent legs, however the definition of isosceles trapezoid is the trapezoid with two congruent angles. Thus the definition of the geometric figure and what the term of the geometric figure itself implies are not consistent. We also found this kind of discrepancy in triangle. The third issue is that geometric terms which borrow the name of things are not desirable. For example, Ma-Rum-Mo(rhombus) in Korean borrows the name from plants, and Sa-Da-Ri-Gol(trapezoid) in Korean implies the figure which resembles ladder. These terms have the chance of causing students' misconception. The fourth issue is that whether we should Koreanize geometric terminology or use Chinese expression. In fact, many geometric terms are made of Chinese characters. It's very hard for students to perceive the ideas existing in terms which are made of chines characters. In this sense, it is necessary to Koreanize geometric terms. However, Koreanized terms always work. Therefore, we should find the optimal point between Chines expression and Korean expression. In conclusion, when we name geometric figures, we should consider the ideas behind geometric figures. The names of geometric figures which can reveal the key ideas related to those geometric figures are the most desirable terms.