• Communications of Mathematical Education
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• v.22 no.1
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• pp.65-77
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• 2008

In this paper we study new proofs and generalization of Haga theorem in paper folding. We analyze developed new proofs of Haga theorem, compare new proofs with existing proof, and describe some difference of these proofs. We generalize Haga second theorem, and suggest simple proof of generalized Haga second theorem.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.615-637
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• 2017

The purpose of this study is to analyze the actual realization of the opportunity to learn given to students by examining students' cognition for enrichment mathematics textbook tasks' levels of cognitive demand. First, we analyze characteristics and limitations based on the theoretical framework. Second, we examine students' cognition about the distribution of the mathematics textbook tasks' levels of cognitive demand. And we analyze how the opportunity to learn actually work. Third, in the sense that enrichment textbooks are textbooks for science school students, we analyze whether the opportunity to learn for gifted is offered. The conclusion is as follows: First, with respect to levels of cognitive demand, PNC tasks account most. Second, students also cognize that PNC tasks account most. Third, tasks for gifted are not offered and students also cognize that opportunity to learn for gifted is lacked.

• Journal of Gifted/Talented Education
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• v.25 no.6
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• pp.905-926
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• 2015

This study examined differences among high, medium, and low achievers' motivation, self-regulation strategy, and learning style in an online gifted program. The sample included 788 middle and high school students who participated in the 3-months online gifted program. Participants volunteerly completed 60 questions on their motivation, self-regulation strategy use, and learning style. Multivariate analysis of variance(MANOVA) was conducted for data analysis using SPSS 19.0. The results of this study showed that (1) as levels of students' achievement increased, levels of intrinsic motivation increased as well; (2) statistically significant differences also existed on the levels of elaboration strategy, effort management, and time management strategy use among three levels of achievement and (3) no significant differences in students' learning style preference were found between competitive or cooperative learning style. To sum up, high achieving students' levels of intrinsic motivation, elaboration strategy, effort management strategy, and time management strategy use were the highest compared to medium and low achieving students.

• Journal of the Korean School Mathematics Society
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• v.17 no.4
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• pp.771-804
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• 2014

The concept of the center of gravity is presently being introduced in elementary school curriculums and is broadly applied to Mathematics, Physics, and the Engineering field in University education which are mostly theoretical classes much separated from actual life in the practical educational field. In 2013, ${\bigcirc}{\bigcirc}$ University of Science and Gifted Education, had developed the multidisciplinary approach program of verifying the center of gravity for gifted students, but this program was reconstructed and applied to ordinary students and the effectiveness was analyzed to lay the foundation and generalize this convergence education. Including experiments for verifying the center of gravity in an object with a hollow interior and the existence of a center of gravity outside an object, I proposed realizing the calculations by considering the weight of the lever, the Principle of the lever being a core factor when finding the center of gravity. We altered the existing 8 step program to a 4 step program for the told 65 students from elementary, Junior and High School students, letting them freely select the class lecture by themselves. The analysis attained from surveys, debates and interviews showed that by precise error analysis, students achieved a higher success experience, showing us the importance of the development of a new convergence program.

• School Mathematics
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• v.18 no.1
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• pp.215-229
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• 2016

This study aims to identify Archimedes' idea used while proving proposition 23 in 'Quadrature of the Parabola' and to provide an alternative way for finding the sum of geometric series without applying the concept of limit by extending the idea though metaphor. This metaphorical model is characterized as static and thus can be complimentary to the dynamic aspect of limit concept adopted in Korean high school mathematics textbooks. In addition, middle school students can understand $0.999{\cdots}=1$ with this model in a structural way differently from the operative one suggested in Korean middle school mathematics textbooks. In this respect, I argue that the metaphorical model can be an useful educational tool for Korean secondary students to overcome epistemological obstacles inherent in the concepts of infinity and limit by making it possible to transfer from geometrical context to algebraic context.

• Journal of Gifted/Talented Education
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• v.13 no.4
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• pp.65-94
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• 2003

The purpose of this study is to acquire the information on the current situation of students' selection process in order to renovate the system of picking up the students. As a first step of the study, we examined the validity of the factors of the single-out system such as qualification and the process for the application and the standards and proceeding of the selection. Then we analysed the result of the entrance examination of Hansung Science Highschool in 2002. The analysis was on the correlation between the result of entrance examination and the achievement in the school and the decision of the course after graduation. To know on the achievement of the students, we investigated the records of regular tests and asked the teachers' opinion in math and science classes. As a result, we gained the following points: First, the present single-out system has a danger of excluding students who are much talented in science and math field because it is based on students' achievements in middle schools; Second, the new selection system should consider the character and attitude of the applicants in addition to their knowledge; Third, the continuous observation of the teacher in middle school should be an important factor of the picking up system; Fourth, more questions requiring divergent thinking ability and inquiry skill should be developed as selective examination question. Also examination questions should cover the various contents from mathematics to science, and do not affect pre-learning; Finally, the system of present letting all students stand in one line should be changed into that of letting students in various lines. We can consider using multi-step selection system.

• The Journal of the Korea Contents Association
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• v.14 no.11
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• pp.450-466
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• 2014

This study compared and analyzed body composition, physical fitness, and physical self-concept between gifted students in mathematics and science attending Korea Science Academy (KSA) and non-gifted students attending traditional high schools. The KSA students were 117 males who entered the school in 2009. As a control group, a total of 117 non-gifted students were randomly selected from 5 cities. The results of covariate analysis taken 2 year interval, pretest (2009) and posttest (2010), indicated that gifted students were significantly taller (p<.05) than non-gifted students, and were lower in BMI (p<.05) and PBF (p<.001). There was no significant difference in physical fitness between gifted and non-gifted students. But non-gifted students have a significantly higher self-concept in physical appearance (p<.05) and physical strength (p<.05). The internal/external frame of reference model and the Big Fish Little Pond Effect (BFLPE) theory were supported. Especially, gifted students were significantly higher (p<.01) in endurance self-concept than non-gifted students. We have discussion this result as the future research subject whether it come from the characteristics of the gifted's tenacity at high level tasks.

• Proceedings of the Korean Society for the Gifted Conference
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• 1994.08a
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• pp.1.2-37
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• 1994

Currently Korea encourages gifted high schoolers and junior high schoolers to participate in international achievement contests such as International Olympiads. Participants for these contests are selected nationwide among gifted students in areas of mathematics, physics, chemistry, and others. They go through a series of screening tests and programs. One of the screening processes IS Korean Olympiad School, which provides study programs each summer for student-candidates prior to following year's International Olympiads. Approximately 40 students of high schools and junior high schools, in each subject of study, gather at Korean Olympiad Summer School, and they go through intensive study programs during a short period of time. Out of 40 candidates,' less than 10 students are finally selected to participate in International Olympiads. In this study, a psycho-educational program called "Situation Coping Training Program" was developed to enhance ahievement motivation for these student-candidates. This study was to see if this training program actually improved their cognitive, emotive motivation factors, and to see how this training program affected their achievement level. Training was administered for five days. This training program was found effective for participants to increase self-efficacy, internal locus of control, and anxiety copmg. These cognitive and emotive motivation factors, other than intelligence, were found to have positive relationship with achievement level, of which self-efficacy and attribution style of students were found as two best predictors of achievement. This training program was perceived as necessary. by participants, and helpful for recovering self-confidence and self-control as well as coping pressure. Suggestions were made that this kind of training program be administered as a regular curriculum in preparative study programs such as Korean Olympiads, since cognitive, emotive motivation factors are related with achievement, and furthermore, be utilized in all gifted education programs in Korea. in Korea.

• Journal of Gifted/Talented Education
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• v.7 no.1
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• pp.31-50
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• 1997

'I'his study investigated students' attitude toward mathematics. and how behavior/cognitive training affects level of math anxietv and level of math achievement. Subjects were all the freshmen attending Taejon Science High School, and they were given Mathematics Attitudes Scale and Attributional Style Questionnaire prior to and post training sessions. Twenty out of 84 freshmen voluntarily participated in nine sessions of training program. Participants were asked to do self-evaluation. Math achievement was measured prior to and post training. and was compared between two groups. Training program utilized behavior/cognitive approach. such as understanding one's feeling through muscle relaxation, breathing and meditation; modifying negative attributional style; imitating effective cognitive strategies for math problem solving, and so on. 'I'he result shows that students' math confidence in general was relatively low out of expectation, a nd they perceived teachers not supporting their math abilities :IS much as expected. On the other hand, students in general had strong math achievelment needs, and considered math utility very high. Sex difference was seen in the attitude toward female math abilities, to result that female students had more positive perception than male students. Female students of 'I'aejon Science High School seem free from conventional idea about female abilities including theirs. Participants' ~attitude change was compared with non-participants. and participants showed statistically significant change in their math confidence, and also in their math achievement. Participants had much higher math confidence and ~achievement than non-participants. And, they showed increased level of perceiving teachers' expectation. more realistic in needs, and more involvement in math. Math achievement was found positively related to math confidence, and participants' math achievement change was explained by their belief in math utility. Not only training program effect hut also participants' voluntary involvement and teacher\ulcorner' support of the program and participation seem to increase their math achievement. Based upon the result of study it was suggested that behavior-/cognitive training program be provided along with academic curricula for gifted students of Korea to help their emotional and psychological development enhance the efficacy of their cognitive learning.

• Journal of Gifted/Talented Education
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• v.25 no.1
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• pp.119-138
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• 2015

This study analyzed the academic achievements on above-level testing of mathematics, physics, chemistry, and English in newly entering students of science specialized high schools. It can be expected that newly students of science high specialized schools have reached ceiling level in the middle school mathematics and science academic scores. Above-level testing(or off-level testing) is a test tool used to evaluate student's ability which are above-grade level. In this study, above-level testing tools were used to develop the same type examination paper of the 2013 Korean College Scholastic Ability Test(CSAT) in mathematics, physics, chemistry, and English. The conclusions of this study were as follow: First, the academic achievement level of science specialized high school freshmen were higher the average level of general high school senior because that over 50% of them are within the 5 grade of CSAT in mathematics, physics, and chemistry. In English, 19.3% science specialized high school freshmen have reached within the 5 grade of CSAT. Second, as a result of examining characteristics of academic achievement with respect to units of subjects, in mathematics, it was showed that the academic achievement of 'continuity and limit of a function' unit was higher, 'statistics' unit was lower. In physics, the academic achievement of 'Electricity and Magnetism' unit was higher, 'Waves and particles' unit was lower. In chemistry, the academic achievement of 'compounds in life' unit was higher, 'Air' unit was lower. In English, the academic achievement of 'practical sentence' of reading area was higher, 'Sentence' of writing area was lower. In conclusion, above-level testing provided a good strategy for identifying and determining appropriate programming interventions for gifted students who are two or more grade levels above their age-mates in achievements, aptitude, or ability.