• The Mathematical Education
• /
• v.42 no.2
• /
• pp.193-202
• /
• 2003

In this paper, we analysis 226 papers in the journal of the Korea Society of Mathematical Education Series A for recent 10 years. We classified the papers by the contents, method and the level of schools. In particular, we analysis the contents of concerns focused on the paper about geometry education.

• Communications of Mathematical Education
• /
• v.8
• /
• pp.303-315
• /
• 1999

지금까지 수학 교수-학습 방법에 관한 많은 연구가 선행되었으나 우리 교육의 현실에 비추어 현장 수업에 적용하기에는 많은 어려움이 있었다. 수학 교사들이 수업에 임할 때 겪는 가장 큰 어려움은 어떻게 하면 학생들이 수학에 흥미를 느끼고 수학의 유용성을 스스로 깨닫게 할 수 있을까 하는 문제일 것이다. 컴퓨터를 활용하여 기하수업을 구성적으로 만드는 역동적 기하학습 도구인 GSP를 이용하여 중학수학에 관한 여러 연구가 선행되어 왔지만 현행 교육여건상 고등학교 교육현장의 수학수업에 컴퓨터의 활용은 다소의 어려움이 있다. 따라서 본 고는 이러한 측면에서 고교수학에서의 GSP를 활용 할 수 있는 교수-학습 자료를 Polya의 현대적 발견술에 의하여 소개 하고자 한다.

• Journal of Educational Research in Mathematics
• /
• v.22 no.4
• /
• pp.603-617
• /
• 2012

The 2011 Revision of the National Mathematics Curriculum, amended based on the 2009 Curriculum version, focuses on three important issues: 1) 20% reduction of the previous curriculum contents; 2) improvement of students' creativity through mathematical processes; 3) flexible management of curriculum. Despite the importance in applications, it has not provided a manual for textbook authors and teachers. Consequently, they are likely to encounter difficulties in interpreting goals of learning achievements. This paper identifies the purposes and contents of achievement standards, and discusses how to implement it at school.

• Archives of design research
• /
• v.18 no.2 s.60
• /
• pp.325-334
• /
• 2005

The purpose of this thesis is to explore the fundamental reasons and general circumstances of the introduction of geometric shape to the 20th century's design education. The modern design education was directly influenced by the German Kindergarten Movement and its educational ideal, so they began to employ geometric shapes in visual education. When Friedrich Frobel, a professional German child educator of the 19th century, invented the 'Spielgaben,' it soon became a popular educational tool. It was a turning point in the child educational system, from then they began to actively employ 'tools' in art education. The Spielgaben was created based on the geometric principle of a popular block game of the 19th century. On the other hand, a game program called 'Bechaftigungsmaterial' led early Modernists to adopt geometric shape in their works. Then, geometric shape were applied to a primary educational program designed by the Bauhaus that gave birth to the Modern design education in the 20th century. likewise, the substantial reasons why the principles of point/line/plain and geometric shapes had been taken in the 20th century design education can be explained through this historical background. This research is to investigate how Kindergarten Movement and Modern design education can be associated with each other, particularly in the light of geometric elements. Therefore, I first referred to the historic records in order to reveal their relation, and then analyzed the similarities and differences between the two activities. In result, I could explore the relationship between child educational tools and the 20th century's design education.

• Journal of Educational Research in Mathematics
• /
• v.22 no.2
• /
• pp.261-275
• /
• 2012

There are some geometry achievement standards presented indistinctly in middle school mathematics curriculum revised in 2011. In this study, indistinctness of some geometric topics presented indistinctly such as symbol $\overline{AB}{\perp}\overline{CD}$ simple construction, properties of congruent plane figures, solid of revolution, determination condition of the triangle, justification, center of similarity, position of similarity, middle point connection theorem in triangle, Pythagorean theorem, properties of inscribed angle are discussed. The following three agenda is suggested as conclusions for the development of next middle school mathematics curriculum. First is a resolving unclarity of curriculum. Second is an issuing an authoritative commentary for mathematics curriculum. Third is a developing curriculum based on the accumulation of sufficient researches.

• Journal of Educational Research in Mathematics
• /
• v.23 no.2
• /
• pp.173-192
• /
• 2013

It may be replacement proofs with understanding and explaining geometrical properties that was a remarkable change in school geometry of 2009 revised national curriculum for mathematics. That comes from the difficulties which students have experienced in learning proofs. This study focuses on one of those difficulties which are caused by the forms of proofs: using letters for designating some sides or angles in writing proofs and understanding some long sentences of proofs. To overcome it, this study aims to investigate the applicability of Byrne's method which uses coloured diagrams instead of letters. For this purpose, the proofs of three geometrical properties were taught to middle school students by Byrne's visual method using the original source, dynamic representations, and the teacher's manual drawing, respectively. Consequently, the applicability of Byrne's method was discussed based on its strengths and its weaknesses by analysing the results of students' worksheets and interviews and their teacher's interview. This analysis shows that Byrne's method may be helpful for students' understanding of given geometrical proofs rather than writing proofs.

• Journal of Educational Research in Mathematics
• /
• v.21 no.2
• /
• pp.135-148
• /
• 2011

Middle school mathematics treats axiom as mere fact verified by experiment or observation and doesn't mention it axiom. But axiom is very important to understand the difference between empirical verification and mathematical proof, intuitive geometry and deductive geometry, proof and nonproof. This study analysed textbooks and surveyed gifted students' conception of axiom. The results showed the problem and limitation of middle school mathematics on the treatment of axiom and proof.

• The Mathematical Education
• /
• v.34 no.2
• /
• pp.141-202
• /
• 1995

van Hiele의 사고수준 이론에는 기초수존, 제1수준, 제2수준, 제3수준, 제4수준 등 5가지가 있고, 이 중에서 국민학교에 해당되는 것은 기초수준 (1학년), 제1수준(2, 3학년), 제2주순 (4, 5, 6학년) 등 세 가지 뿐이다. 그리고 기하학적의 구조 인식론에는 관제, 구성, 정의, 공리, 정리, 증명, 척도, 자호, 응용 등 9가지 단계가 있고, 이 9가지 단계를 기초수준, 제 1수준, 제 2수준의 각 수준에 대응시켜서 거기에 해당되는 기하도형 학습을 연구·분석하였다. 기하도형에 관한 학습은 주로 경험성과 창의성을 바탕으로 하는 보기문제를 제시하여 그 흐름을 해결함으로써 각 수준의 각 단계들을 스스로 인식하도록 하였다. 특히 여기에서 처음으로 등장하는 기하학의 구조 인식론이라는 것은 위에서 언급한 9가지 단계를 차례로 거쳐 가야만 아동들은 도형을 올바르게 빠짐없이 인식할 수 있다는 이론이다. 이 이론의 특징을 예를 하나 들어서 설명해 보면, 흔히들 정의를 단순히 무정의어와 정의어로 구분하고 있는데 반하여, 이 이론에서는 서로 역동적인 관계를 갖고 있는 기초정의, 상황정의, 포괄정의, 기본정의, 부수정의, 특수정의 등으로 나누었다는 점이다.

• Communications of Mathematical Education
• /
• v.24 no.3
• /
• pp.659-689
• /
• 2010

Taxicab distance function is a practical distance notion which gives us information of real world pathway distance that really taxi can go through. As one of the non-Euclidean geometry, this study of an ideal city with all roads running horizontal or vertical, was introduced by the Russian Mathematician H. Minkowski and synthetically reported by the E. F. Kraus in 1986. After that, there were many reports and papers on this topic and still being researched. At this point of view, our research about taxicab geometry provides its differences from Euclidean plane geometry, and considers about several theorems on plane geometry using the taxicab distance function.

• The Mathematical Education
• /
• v.1 no.2
• /
• pp.5-7
• /
• 1963