• 한국수학교육학회지시리즈D:수학교육연구
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• 제1권1호
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• pp.1-5
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• 1997

We discuss some aspects of mathematics for teachers such as algebra for teachers, geometry for teachers, statistics for teachers, etc., which can be taught in teacher preparation courses. Mathematics for teachers should consider the followings: (a) Various solutions for a problem, (b) The dynamics of a problem introduced by change of condition, (c) Relationship of mathematics to real life, (d) Mathematics history and historical issues, (e) The difference between pure mathematics and pedagogical mathematics, (f) Understanding of the theoretical backgrounds, and (g) Understanding advanced mathematics.

• 한국수학교육학회지시리즈A:수학교육
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• 제52권2호
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• pp.149-161
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• 2013

This study was to focus on analyzing about the composition of storytelling in the first graders' math textbooks of the middle school, which were recently implemented. The textbooks published by three well known publishing companies were chosen and three graduate students had scored the frequency of the problems according to three types of storytelling. As the results, in areas of mathematics, Number & Operation(44.23%), Letters & Formula(44.53%), Function(46.53%), Probability(41.67%), Geometry(46.23%) showed to have storytelling in balance. The type of 'explosion of mathematical history(EMH)' was shown in geometry most, the type of 'connection to daily life(CDL)' in statistics most, and the type of integration of disciplines(ID)' in geometry most in 5 math areas. Among three types of storytelling, the type of EMH was shown fewer that other 2 types. If we develop more problems in this type, students would study mathematics in-depth according to Freudenthal's principle of historical reinvention.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제20권1호
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• pp.39-49
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• 2016

The History of Mathematics (HOM) was integrated in teaching the Cartesian Coordinate Plane (CCP) to Grade Seven learners of Moonwalk National High School using Lesson Study. After the lesson was taught, there were three valuable issues emerged: (1) HOM is a Springboard and/or a Medium of Motivation in Teaching CCP; (2) The History of CCP Opened a Wider Perspective about Its Real-life Application in the Modern World (3) Integration of History Developed a Sense of Purpose and an Appreciation of Mathematics Among Learners. Feedbacks solicited from the learners showed that they have understanding of the importance of studying Mathematics after they learned the life and contributions of Rene Descartes to Mathematics. Hence, integration of history plays a vital role in developing positive attitudes among learners towards Math.

• 한국수학사학회지
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• 제30권6호
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• pp.327-339
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• 2017

Recently industry goes through enormous revolution. Related to this, major changes in applied mathematics are occurring while coping with the new trends like machine learning and data analysis. The last two decades have shown practical applicability of the long-developed mathematical theories, especially some advanced mathematics which had not been introduced to applied mathematics. In this concern some countries like the U.S. or Australia have studied the changing environments related to mathematics and its applications and deduce strategies for mathematics research and education. In this paper we review some of their studies and discuss possible relations with the history of mathematics.

• 한국수학사학회지
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• 제29권1호
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• pp.45-69
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• 2016

In this study, we investigate integrated educations as an alternative educational method. I look around the developments of the integrated educations from MST education through STEAM education, especially in mathematics education. I analyzed integrated educations such as MST, STS, STEM, STEAM educations and compare them to each other, in mathematics education. And I discuss how to apply STEAM education to Korean mathematics education. I suggest a proper integrated education, in particular, STEAM education, as one that is suitable for Korean mathematics education.

• 한국수학사학회지
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• 제34권6호
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• pp.205-223
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• 2021

It has been argued that as for the origin of the Pythagorean theorem, the theorem had already been discovered and proved before Pythagoras, and the historical records of ancient mathematics have confirmed various uses of this theorem. The purpose of this study is to examine the relevance of its name caused by Eurocentrism and the weakness of its use in Korean school mathematics and to seek improvements from a critical point of view. To this end, the Pythagorean theorem was reviewed from the perspectives of the history of mathematics and mathematics education. In addition, its name in relation to objective mathematical contents regardless of any specific civilization and its use as a starting point for teaching the theorem in school mathematics were suggested.

• 한국수학사학회지
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• 제22권3호
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• pp.153-170
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• 2009

Dienes는 새수학 운동가로서, 수학의 구조를 어린 학생들에게 가르치고자 부단히 노력한 연구가이며, 실천가이다. 국내에서는 그의 수학교육 이론이 부분적으로 알려져 있지만, 그것은 50여 년 간 Dienes가 남긴 연구 업적의 일부에 불과하다. 이 연구에서는 약 90여 년 간의 그의 긴 일생과 약 50 여 년간의 연구 일생을 돌아보고, 그것이 오늘날의 수학교육에 주는 의미를 되새겨 보고자 한다. 먼저 그의 일생은 그의 회고록과 기타 연구 논문에 언급된 내용을 바탕으로 크게 다섯 부분으로 구분하여 정리하였다. 그의 연구 업적은 Dienes가 연구 전성기에 관심을 가졌던 분야로 꼽은 수학학습심리 이론, 교육과정개발, 교사교육, 그가 개발한 교구와 게임등의 주제를 바탕으로 정리하였다. 이러한 고찰을 통해 그의 학문적 성향과 연구 내용이 그의 인간적 삶의 배경과 역사와 무관하지 않음을 알 수 있었다.

• 한국수학사학회지
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• 제28권5호
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• pp.263-278
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• 2015

As intuition is more unreliable than logic or reason, its studies in mathematics and mathematics education have not been done that much. But it has played an important role in the invention and development of mathematics with logic. So, it is necessary to recognize and explore the value of intuition in mathematics education. In this paper, I investigate the function and role of intuition in terms of mathematical learning and problem solving. Especially, I discuss the positive and negative aspects of intuition with its characters. The intuitive acceptance is decided by self-evidence and confidence. In relation to the intuitive acceptance, it is discussed about the pedagogical problems and the role of intuitive thinking in terms of creative problem solving perspectives. Intuition is recognized as an innate ability that all people have. So, we have to concentrate on the mathematics education via intuition and the complementary between intuition and logic. For further research, I suggest the studies for the mathematics education via intuition for students' mathematical development.

• 한국수학사학회지
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• 제28권1호
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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.

• 한국수학사학회지
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• 제24권4호
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• pp.87-96
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• 2011

프로이덴탈은 대수적 위상수학과 기하학에 중요한 업적을 남겼으며, 수학사와 수학교육에도 크게 이바지한 수학자다. 많은 업적 중 가장 인정받는 것은 1970년대, 세계적으로 유행하던 새수학으로부터 네덜란드의 수학을 보호한 것이다. 그가 남긴 가장 큰 유산은 ICMI의 회장으로 재임하면서 현실적 수학교육의 기초를 다졌으며, 또 세계 수학교육에 영향을 끼치는 ICME 개최로 그 위상을 높인 점이다. ICMI의 회장이었던 Bass가 프로이덴탈이 회장으로 재임하였던 기간을 프로이덴탈 시대라고 명명하였으며, 많은 수학교육학자들 역시 ICMI의 역사를 프로이덴탈 이전 시대와 프로이덴탈 후기시대로 나누는데 동의할 정도로 그가 ICMI에 끼친 영향력은 대단하다. 이 논문에서는 프로이덴탈의 생애를 돌아보고 그가 ICMI를 통하여 세계수학교육에 미친 영향을 살펴보고자 한다.