• The Journal of Korean Philosophical History
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• no.37
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• pp.97-134
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• 2013

Kim Ee-man was born and grew up in Jecheon (堤川). As a government officer and a Confucian scholar belonging to Namin School, Kim Ee-man was active in the early and middle of 18th century. Kim Ee-man composed good poems since he was a child. In addition to being a good poet, Kim Ee-man later became a model government officer, who had thorough awareness on serving citizens (爲民). When he was a governor in Yangsan (梁山) county, he built an embankment for farmers by out of his own salary. The academic world of Kim Ee-man faithfully succeeded the basis of Toegyehak (退溪學) and he took Sohak (小學) as important. The reason of Kim Ee-man having established a practical guideline in the form of inscription and proverbs was also directly related to the issue of moral practice. Kim Ee-man also received the influence of ancient classic study from his teacher Lee Seo-woo (李瑞雨) and took Yookgyeong (六經, Six Classics in China) important in practice. Kim Ee-man started the study on Joojahak (朱子學, the doctrines of Chu-tzu) in later years. He became more thorough in being a public figure while reinforcing effort on differentiating the principle of heaven (天理) and human desire (人欲).

• Communications of Mathematical Education
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• v.28 no.3
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• pp.321-338
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• 2014

In this paper, we introduce the history and the present status of the Mathematics Genealogy Project (MGP). The cases of David Hilbert and the first author were used to show how it works. As an example, we explain how to gain useful information such as the granting year of mathematics Ph. D degree holders, the title of dissertation, advisors and descendants from the MGP website. Through a survey of three different groups in MGP on 20~30 significant Korean mathematicians, we found that Korean records in the academic genealogy project are missing or poorly presented in the database of the MGP website. In conclusion, we found a way to improve the situation and provide instructions to submit our information to MGP. We expect our effort can help Korean mathematics and mathematicians to become better exposed to the world. It will help others to understand both the modern history and the future prospect of Korean mathematics.

• Journal of Educational Research in Mathematics
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• v.18 no.1
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• pp.137-156
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• 2008

This article discusses the purpose of mathematics education based on the epistemology of Michael Polanyi. According to Polanyi, studying is seeking after the truth and pursuing the reality. He opposes to separate humanity and knowledge on account that no knowledge possibly exists without its owners. He assumes tacit knowledge hidden under explicit knowledge. Tacit knowing is explained with the relation between focal awareness and subsidiary awareness. In the epistemology of Polanyi, teaching and learning of mathematics should aim for change of students' minds in whole pursuing the intellectual beauty, which can be brought about by the operation of their minds in whole. In other words, mathematics education should intend the cultivation of mind. This can be accomplished when students learn mathematical knowledge as his personal knowledge and obtain tacit mathematical knowledge.

• Journal of the Korean School Mathematics Society
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• v.24 no.4
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• pp.429-447
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• 2021

This study explored the changes in storytelling styles in high school first-year textbooks between the 2007 Revised National Curriculum of Mathematics and the 2015 Revised National Curriculum of Mathematics. The results are indicated as follows. First, the quantitative aspect of storytelling gradually increased in the textbook aligned with the 2015 Revised National Curriculum of Mathematics. Second, as for types of storytelling, the real-life connection and academic convergence types appeared most frequently, followed by mathematical history inquiry types, decision-making types, and tool utilization types. Third, storytelling appeared most frequently in 'main-body' of a lesson in terms of textbook content composition, followed by 'introduction', 'lesson materials', and 'evaluation'. This study implies that more diverse stories need to be developed; including the mathematical history inquiry types, the decision-making types and the tool use types. Textbooks should be organized not that the piecemeal storytelling presented in 'introduction' of a lesson but that a coherent story penetrates the entire unit to be utilized until the end of the lesson.

• Education of Primary School Mathematics
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• v.24 no.3
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• pp.157-174
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• 2021

This study analyzed the process of establishing a social structure in a third-grade mathematics classroom for one semester and explored learning processes based on various social interactions and relationships between the teacher and students. In the early phase of the semester, main foci were placed on establishing an overall social norms and basic social structure for effective mathematical learning. In the middle phase of the semester, an emphasis among students' interactions was given to exploration of mathematical concepts. Students tended to ask whatever they did not know exactly and clearly understood what to explain. In the late phase of the semester, students' individual disposition was further considered. Disciplinary personality traits including intellectual courage, honesty, consideration, and cooperation were emphasized along with mathematical exploration. Based on these research results, this study was intended to provide implications for implementing more meaningful mathematics lessons by fully considering not only mathematical connections but also social connections.

• Communications of Mathematical Education
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• v.27 no.1
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• pp.81-97
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• 2013

In this study, we investigated how the relationship between 'parallel' lines and 'identical' lines is stated in mathematics textbooks of the 2007 revised national curriculum. In school mathematics, 'parallel' lines and 'identical' lines are explicitly distinguished in the perspective of 'coincidence', whereas 'identical' lines are implicitly regarded as a special case of 'parallel' in the perspective of 'slope'. These different treatments could bring out a confusion as was in the mock mathematics test for 2012 College Scholastic Ability Test. To resolve this confusion, it needs to be considered that the relationship between 'parallel' lines and 'identical' lines are more clearly stated in the context of 'slope' such as in some textbooks for the 4th and 5th curriculum and a textbook of Japan.

• Journal for History of Mathematics
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• v.22 no.3
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• pp.153-170
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• 2009

Zoltan, P. Dienes is a famous researcher and practitioner who has tried to teach mathematical structures to children for about 50 years. Even though his ideas of teaching mathematics and materials including MAB have been well known in Korea, they are only a part of his achievement he has developed for his whole life. So this article is designed for taking an overview of his whole life and achievement and getting some implications for today's mathematics education. In this article, his life story could be divided by five periods in terms of a scholastic career and his research achievement could be reorganized with respect to five theses: psychology of learning mathematics, mathematical curriculum, teacher education, games and material for mathematical learning. As a result, it is found that there is a deep connection between his personal life and his scholastic career.

• Korean Journal of Comparative Education
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• v.28 no.1
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• pp.135-151
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• 2018

This study was conducted to help establish the status of comparative education as an academic discipline by investigating its relationship with educational evaluation. Comparative education as a subfield of education covers other areas of study in education, while educational evaluation is a study of methodology. First, international comparative study was investigated, and recent methodologies in educational evaluation were introduced. International comparative study started in 1960's, and is being expanded. The participating countries hope for better education by comparing their educational curricula and practices with others. For international comparative studies, a differential item functioning analysis as a multigroup analysis can provide information on what sociocultural factors other than the construct are affecting the measurement results. The study dataset has a hierarchical structure so that multilevel item response theory is suitable to obtain multidimensional national profiles. Although there have been methodological advances in educational evaluation, the methods are not available in comparative education. In order to reduce the gap, scholars in educational evaluation should try to make the methods easily available, while those in comparative education should try to use the exact and precise methods in their studies.

• Journal of Elementary Mathematics Education in Korea
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• v.9 no.2
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• pp.111-135
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• 2005

In this study I compared Korea's elementary school mathematics curriculum and its handbook with Japan's curriculum and its handbook. Based on that work, I induced some suggestions which is useful to develop mathematics curriculum in the future. First, the purposes of Korea's elementary school mathematics curriculum focused on the system of mathematics, scholastic ability and learning volition. On the other hand, Japan's curriculum concentrated on the utility of mathematics in daily life and the motive of learning mathematics. Secondly, purposes of mathematics education written in Japan's curriculum handbook, differing from Korea's, are closely divided into concrete items. Finally, purposes of mathematics education in each grade, written in Japan's curriculum handbook, are presented in outlined form according to general purpose of mathematics curriculum. The merit of this way is that the researcher could display flexibilities and creativities in making mathematics textbook.

• Journal for History of Mathematics
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• v.21 no.2
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• pp.81-90
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• 2008

It has been noticed the greater importance of mathematical education, particularly of multi-variable calculus in the undergraduate level with remarkable progress of all sorts of sciences requiring mathematical analysis. However, there was lack of variety of introducing the definition of differentiation of multi-variable functions - in fact, all of them basically rely on the chain rules. Here we will introduce a way of defining the geometrical differentiation of the multi-variable functions based upon our teaching experience. One of its merits is that it provides the geometric explanation of the differentiation of the multi-variable functions, so that it conveys the meaning of the differentiation better compared with the known methods.