• 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.

• The Mathematical Education
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• v.61 no.4
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• pp.559-579
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• 2022

Research on lexicon and language provides insights into the interests, values and practices of a community where individuals use the language. The International Classroom Lexicon Project, in which ten countries participated, identified own country's mathematics teaching and learning lexicons by investigating mathematics classroom instruction from teachers' perspectives in a speaking-oriented community. This study, as an extension of the International Classroom Lexicon Project research, investigated pedagogical lexicons used in 「Mathematics and Education」 journals specialized for Korean professional mathematics teachers published by the Korean Society of Teachers of Mathematics. Using the text mining approach, we also traced how these pedegogical lexicons have changed quantitatively over the past 10 years with a diachronic perspective. As a results, several novel terms were found in the writing-oriented community, which were not identified in the speaking-oriented community. In addition, we could discover some pedagogical lexicons have increased statistically significantly and some lexicons appeared(increased) rapidly across years. This implies the teacher community's values and zeitgeist by reflecting these changes in the sociocultural, incidental and social changing (i.e., periodical change) contexts. This study has value as a first step in understanding zeitgeist for mathematics education in Korean mathematics teacher community according to changes of times over the past 10 years. Also, this study contributes to the methodological insights: the text mining technique provides a methodological contribution to researching changes in interests, values and zeitgeist according to these changes in the times.

• Communications of Mathematical Education
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• v.19 no.3 s.23
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• pp.485-502
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• 2005

한 가지 문제에 대한 다양한 풀이 방법을 탐색하는 것은 수학적 대상의 성질을 발명, 일반화하는 것 뿐만 아니라, 학생들의 지적인 유창성 및 유연성 계발, 수학에 대한 심미적 가치의 함양을 위한 의미 있는 교수학적 경험을 제공할 수 있을 것이다. 본 연구에서는 고등학교 '미분과 적분'에 제시된 사인의 덧셈정리에 대한 다양한 증명 방법을 제시하고, 이를 분석하여 수학교수학적으로 의미로운 시사점을 도출하였다. 이를 통해, 사인의 덧셈정리에 대한 새로운 증명 방법의 탐색, 사인의 덧셈정리의 수학교수학적 활용의 다양한 가능성을 모색할 수 있는 기초자료를 제공할 것이며, 제시된 증명 방법들은 '미분과 적분'의 지도에서 심화학습 자료로도 활용할 수 있을 것이다.

• Communications of Mathematical Education
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• v.12
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• pp.21-32
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• 2001

쌓기놀이는 유치원에서의 주요 활동이며, 유아들이 가장 선호하는 놀이일 뿐 아니라 교육적 가치도 크다고 보고 있다. 특히 쌓기놀이는 다양한 크기, 형태의 나무 적목을 사용하여 구성하게 되므로 공간 관계, 기하학적 도형, 대칭, 합동 등의 수학적 경험을 제공할 수 있다는 것이다. 그러나 교육현장에서의 쌓기놀이는 유아가 자유롭게 구조물을 만든 후 이를 극화놀이로 확장되어 전개되는데 그치고 있어 이를 통한 수학적 경험은 크게 기대할 수 없으며 우연적일 수 밖에 없다. 따라서 본 연구에서는 유아의 쌓기놀이를 보다 기하학적 사고와 탐색을 포함하는 교수-학습의 방안을 모색하고 현장 적용성을 검토하고자하였다. 본 연구의 내용은 유아의 쌓기놀이 활동에 기초한 기하학습의 모형을 설계하고, 이를 기초로 한 적용사례를 제시하는 것이다.

• Journal of the Korean School Mathematics Society
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• v.13 no.2
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• pp.289-301
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• 2010

This study discovered that instructional objectives of graphs which are dealt with in Math I of the revised curriculum are not matched with those of Discrete Mathematics in the 7th Curriculum. Based on the findings, this study analysed didactic transposition method of trail in graph and matrix of Math I and students' understanding about trail. Then this study discovered that though the concept definition of trail in Math I of the revised curriculum, some textbooks and students tend to consider it as the path. The concept definition of trail is significant in systems that deal with Euler Circuits(Euler Closed trail) and Hamilton Cycle. Then it is not easy to find the value of trail in Math I of the revised curriculum.

• School Mathematics
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• v.16 no.2
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• pp.285-301
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• 2014

Because a development figure is treated restrictively in elementary school, not only there are brought out the concept image, but also the definition of the development figure in textbook in not unique. Furthermore, since the comparison and analysis of 'definition element' between the materials in textbook are nor carried out, its educational value as well as the teaching for concepts and objectives does not give rise to public discussion. In this note, we will investigate the definition and teaching of the development figure in Korea and Japan. And through three viewpoints of its definition and related debate, we will consider the fundamental understanding and objectiveness of a development figure, and suggest its mathematical application. This study will promote teachers's critical and didactical insight for the didactical transposition.

• Journal of Elementary Mathematics Education in Korea
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• v.9 no.2
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• pp.161-180
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• 2005

The purpose of this study is to delve into how elementary mathematics textbooks deal with the areas of triangles and quadrilaterals from a viewpoint of the Didactic Transposition Theory. The following conclusion was derived about the teaching of the area concept: The area concept started to be taught perfectly in the 7th curricular textbook, and the focus of area teaching was placed on the area concept, since learners were gradually given opportunities to compare and measure areas. As to the area formulae of triangles and quadrilaterals, the following conclusions were made: First, the 1st curricular, the 2nd curricular and the 3rd curricular textbooks placed emphasis on transposition by textbooks, and the 4th curricular, the 5th curricular and the 6th curricular textbooks accentuated transposition by teachers. The 7th curricular textbooks put stress on knowledge construction by learners; Second, the focus of teaching shifted from a measurement of area to inducing learners to make area formula. Namely, the utilization of area formula itself was accentuated, while algorithm was emphasized in the past; Third, the way to encourage learners to produce area formula changed according to the curricula and in light of learners' level, but a wide range of teaching devices related to the area formulae were removed, which resulted in offering less learning chances to students; Fourth, what to teach about the areas of triangles and quadrilaterals was gradually polished up, and the 7th curricular textbooks removed one of the overlapped area formula of triangle.

• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.621-636
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• 2013

In this paper we intended to present the case of mentorship program for the gifted in elementary mathematics education, which is related with Waldorf education. We installed the program to four six-grade students during six months. We focused on cultivating integrated perspective, aesthetic perspective and substantial skills. For the aim we dealt with the item, construction based on the aesthetic experiences. Finally we presented three main ideas, construction of regular polygons and flowers, construction of islamic design, and farmland cleanup with construction. We also contained the students' project in this paper.

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

• Communications of Mathematical Education
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• v.30 no.3
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• pp.375-392
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• 2016

The purpose of this study is to provide a philosophical reflection on mathematical process consistently emphasized in our curriculum and to stress the importance of sharing creativity and its applicability to the mathematical process with the value of sharing and participation. For this purpose, we describe five stages of changing process in a peer mentoring teaching method conducted by a teacher who taught this method for 17 years with the goal of sharing creativity and examine components of mathematical process and their impact on it in each stage based on learning environment, learning process, and assessment. Results suggest that six principles should be underlined and considered for students to be actively involved in mathematical process. After analyzing changes in the five stages of the peer mentoring teaching method, the five principles scrutinized in mathematical process are the principles of continuous interactivity, contextual dependence, bidirectional development, teacher capability, and student participation. On the basis of these five principles, the principle of cooperative creativity is extracted from effective changes of mathematical process as a guiding force.