• Journal for History of Mathematics
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• v.17 no.3
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• pp.73-92
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• 2004

The paper surveys various attempts to use the concept of 'fundamental ideas' -Bruner's concept- as a tool for organizing mathematics teaching and research in mathematics education. One of the characteristics of fundamental ideas in mathematics is their correspondence to the history of mathematics; therefore in forming out contents and methods in mathematics education, the history of mathematics may be serve as an interesting aspect. It is demonstrated by the example of mean values.

• Journal for History of Mathematics
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• v.18 no.2
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• pp.43-54
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• 2005

The aims of the study were to analyze the contents of elementary mathematics curriculum in order to help students to have ideas about the history of mathematics and to apply the ideas to develop their knowledge of mathematicians or mathematical history into the lesson ideas for preservice elementary teachers and elementary students. As a result, many ideas of mathematical connection into the history of mathematics are reviewed, and posters about Pythagoras and Pascal are designed to help students to reinvent the idea of triangular numbers and square numbers.

• Journal for History of Mathematics
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• v.17 no.4
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• pp.101-122
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• 2004

It has been always the issue to discuss 'how we teach mathematics' for the mathematical learning. As for an answer to this, it was suggested to use the history of mathematics. The reason is simple that is, the education of mathematics requires to understand mathematics and to know the history of mathematics is effective for mathematical understanding. In particular, the history of algebra was discussed to some extent as an illustration. This study focuses on the history of geometry from this point of view. We review the history of geometry by comparison in terms of three criteria from the origin of geometry to modem differential geometry in the middle of the 20th century, which are backgrounds (inner or outer ones), characterizations (approach, method, object), influences to modem mathematics. As an application of such historical data to the education of mathematics, we pose the problem to determine the order of instruction in mathematics.

• Journal for History of Mathematics
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• v.28 no.1
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• pp.45-62
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• 2015

This study assumes alternative character of the operation of mathematical club in middle school. The case that operated the voluntary mathematics club for one year was analyzed and the educational effect was considered. First, the examination instrument for choosing the members of mathematics club was developed and used. And, diverse teaching and learning materials for improving creativity and mathematical ability of the members were used. Second, the difference of learning result between the experiment group and control one who joined the activities of mathematics club was analyzed. Finally, mathematical club activity based on mathematics history appeared to be effective in improving academic achievement and mathematics exploration activity.

• Journal for History of Mathematics
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• v.12 no.2
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• pp.69-81
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• 1999

In this paper, I will divide the history of mathematics into four development stages. These are based on significant developments of mathematical concepts or the creation of new fields of mathematics. Then, I will survey the history stages through a study of the characteristic method of research and the most important concepts from each period.

• Journal for History of Mathematics
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• v.16 no.2
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• pp.117-128
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• 2003

We investigate the origin and recent history for fuzzy equations. And we introduce the existence theorems of solutions for the fuzzy differential equation with infinite delays and fuzzy functional integral equations. We will also recent researches for controllability of sobolev-type semilinear integro-differential fuzzy system.

• Journal for History of Mathematics
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• v.11 no.1
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• pp.58-67
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• 1998

It is said that we are teaching mathematics because it is useful, beautiful and culturally valuable and also strengthens the mind. In the paper we consider the role of history of mathematics in accomplishing these purposes.

• Communications of Mathematical Education
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• v.29 no.3
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• pp.491-511
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• 2015

This study analyzed the perception of prospective elementary school teachers in relation to using the history of Korean mathematics. The results of this study showed that the pre-service teachers realized using the history of Korean mathematics more importantly than the history of mathematics. They thought that the contents of the history of Korean mathematics should be increased in mathematics education and pre-service teacher education. The participation experience in teacher education about the history of Korean mathematics had a positive effect on the perception of pre-service teachers. Finally, this paper asserted that teacher education is the key to the teacher perception on and using of the history of Korean mathematics.

• The Mathematical Education
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• v.42 no.4
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• pp.465-480
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• 2003

The main purpose of this work is to propose programs of mathematics education and mathematics history courses for the department of mathematics education of teacher training universities. Foundation of Mathematics Education, Mathematics Teaching and Learning Theories, Mathematics Problem Solving, Analysis and Evaluation of Mathematics Teaching Materials and Mathematics History are discussed in this article.

• The Mathematical Education
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• v.50 no.3
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• pp.329-335
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• 2011

There has been an ongoing symbiotic relationship between the history of the International Commission on Mathematical Instruction(ICMI) and the broader history of mathematics education since 1908. Similarly, the International Congress on Mathematical Education(ICME) has played an important role in the direction of Mathematics education since its first congress in 1969. ICME-12 is due to be held in Seoul, Korea from July $8^{th}$ to $15^{th}$ 2012. To date, there has been no research paper concerning the history of the ICMI published in any Korean journal. In readiness for the upcoming ICME-12, this paper aims to provide a comprehensive overview of the history of the IMCI from the perspective of Mathematics education.