• Journal for History of Mathematics
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• v.19 no.2
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• pp.101-114
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• 2006

The content and method of geometry taught in secondary school is rooted in 'Elements' by Euclid. On the other hand, however, there are differences between the content and structure of the current textbook and the 'Elements'. The gaps are resulted from attempts to develop the geometry education. Specially, the content and method for the proportional relations of geometric figures has been varied. In this study, we reviewed the changes of the proportional relations of geometric figures with pedagogical point of view. The conclusion that we came to is that the proportional relations in incommensurable case Is omitted in secondary school. Teacher's understanding about the proportional relations of geometric figures is needed for meaningful geometry education.

• Communications of Mathematical Education
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• v.31 no.3
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• pp.241-255
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• 2017

The 4th industrial revolution is coming. In order to prepare for the new learning environment with it, we may need digital mathematics textbooks that fully utilize all possible technologies. So various attempts have been made in elementary and middle school mathematics education. However, despite the importance of higher mathematics, we haven't seen a best possible math digital textbooks yet in Korea. In this paper, we introduce our new model of interactive math digital textbook about Linear Algebra/ Calculus/ Differential Equations/ Statistics/ Engineering Math. Especially, this manuscript focuses on our experience of using digital contents and interactive labs for developing a new model for linear algebra digital textbook. We introduce our works on linear algebra digital textbooks which include pdf e-book, web contents, video clips of lectures, interactive lab. Using this linear algebra digital textbook, students can freely use any mobile devices to access diverse learning materials, lessons, and hands-on exercises without any limitations. Also, times saved in the computation, coding, and typing process can be used to have more discussions for deeper understanding of mathematical concepts. This type of linear algebra digital textbook, which contains all interactive free cyber-lab with codes and all lectures for each sections, can be considered as a new model for the next generation of math digital textbook.

• Journal of Gifted/Talented Education
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• v.12 no.1
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• pp.61-76
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• 2002

The purpose of this study is to investigate the education system for science 34gifted/talented students in Korea. There are fifteen science gifted/talented education centers established in major universities, sixteen science high schools and one research center for the gifted education in science located at KAIST. To examine the selection procedure and the curriculum of the education centers and science high schools, the annual reports of the fifteen education centers and the annual plans of sixteen science high schools are analyzed. About 200 gifted/talented students are employed in the field of science, mathematics and information science at each education center, Multidimentional education system is developed for efficient way of teaching for the gifted. The curriculum and teaching method for each education center is unique and different from the science high schools that follow nationally given form. This study shows new selection method and unique curriculum for the science gifted/talented students employed in the education centers. Also, current situation of science high schools are reported in this study. Finally we suggest the systematic way of developing the education system for the gifted in science in korea.

• Journal of Educational Research in Mathematics
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• v.21 no.4
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• pp.327-344
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• 2011

This study is the first step for us toward improving high school students' capability of statistical inferences, such as obtaining and interpreting the confidence interval on the population mean that is currently learned in high school. We suggest 5 underlying concepts of 'discretion of contingency and inevitability', 'discretion of induction and deduction', 'likelihood principle', 'variability of a statistic' and 'statistical model', those are necessary to appreciate statistical inferences as a reliable arguing tools in spite of its occasional erroneous conclusions. We assume those 5 concepts above are to be gradually developing in their school periods and Korean mathematics textbooks of grades 1-12 were analyzed. Followings were found. For the right choice of solving methodology of the given problem, no elementary textbook but a few high school textbooks describe its difference between the contingent circumstance and the inevitable one. Formal definitions of population and sample are not introduced until high school grades, so that the developments of critical thoughts on the reliability of inductive reasoning could not be observed. On the contrary of it, strong emphasis lies on the calculation stuff of the sample data without any inference on the population prospective based upon the sample. Instead of the representative properties of a random sample, more emphasis lies on how to get a random sample. As a result of it, the fact that 'the random variability of the value of a statistic which is calculated from the sample ought to be inherited from the randomness of the sample' could neither be noticed nor be explained as well. No comparative descriptions on the statistical inferences against the mathematical(deductive) reasoning were found. Few explanations on the likelihood principle and its probabilistic applications in accordance with students' cognitive developmental growth were found. It was hard to find the explanation of a random variability of statistics and on the existence of its sampling distribution. It is worthwhile to explain it because, nevertheless obtaining the sampling distribution of a particular statistic, like a sample mean, is a very difficult job, mere noticing its existence may cause a drastic change of understanding in a statistical inference.

• 대한공업교육학회지
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• v.31 no.2
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• pp.64-82
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• 2006

This study investigated what effects multiple intelligence, through which the diverse intelligence abilities of a learner are identified, has on technological problem solving ability according to sex. And it was carried out to present a way to reduce the gap between boys and girls in technological problem solving ability. The subject was 833 middle school students in the third grade (boys: 423, girls: 410) whose schools are located in a megalopolis or more large area. And the instruments developed by Yong-Lyn Moon(2001) and in CRESST(1998) were used. The results of this study are as follows. First, it appeared that there were statistically meaningful differences at six items in multiple intelligence between boys and girls. The six items were bodily-kinesthetic intelligence, logical-mathematical intelligence, naturalistic intelligence, musical intelligence, interpersonal intelligence, and introspective intelligence. Second, in technological problem solving ability, it appeared that boys and girls showed statistically meaningful differences at self-regulation and problem solving strategy. Third, it appeared that logical-mathematical intelligence, linguistic intelligence, introspective intelligence, and natural intelligence had an effect on boys in the way of self-regulation and logic-mathematical intelligence, introspective intelligence, naturalistic intelligence, and linguistic intelligence did on girls. Fourth, it appeared that logical-mathematical intelligence, musical intelligence, and bodily-kinesthetic intelligence had an effect on boys in the way of problem solving ability and linguistic intelligence and musical intelligence had on girls. Fifth, it appeared that logical-mathematical intelligence did an effect on both sexes in drawing up the understanding of contents. On the basis of the results of this study, the area related to multiple intelligence directly or indirectly should be developed in the course of designing the primary and secondary curriculums to reduce the gap between boys and girls in multiple intelligence. With these efforts, the scholastic attainments gap caused by the difference of multiple intelligence will be overcome.

• Journal of Gifted/Talented Education
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• v.25 no.6
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• pp.881-904
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• 2015

The purpose of this paper is to explore the future direction of research on gifted education through a literature review of dissertations and research reports, as well as an analysis of the trends and milestones achieved related to gifted education. The period from 2003 to 2012, from which the data for this literature review was collected, marks the ten-year period proposed by the Gifted Education Development Comprehensive Plan II and I. Data was collected through a search of the keyword "gifted" on Academic Naver and on Korea Education and Research Information Service (KERIS). Results showed 1,696 articles from 182 academic journals, 138 doctoral dissertations, 1,470 masters' dissertations, and 798 research reports from 75 institutions. For analysis, each article was classified by target of study, kind of giftedness, subject of study, and methods used for the study. Results from this literature review demonstrated that from 2003 to 2012, the articles from the 182 academic journals and the doctoral and masters' dissertations used quantitative research to analyze elementary and middle school students gifted in math and science as well as the curriculum and programs of their study. This paper provides recommendations for future research on gifted education within the country.