• Journal of the Korean School Mathematics Society
• /
• v.11 no.3
• /
• pp.399-420
• /
• 2008

In this paper we solve various triangle construction problems related with radius of escribed circle using algebraic method. We describe essentials and meaning of algebraic method solving construction problems. And we search relation between triangle construction problems, draw out 3 base problems, and make hierarchy of solved triangle construction problems. These construction problems will be used for creative mathematical investigation in gifted education.

• Journal of Gifted/Talented Education
• /
• v.17 no.1
• /
• pp.77-98
• /
• 2007

It has been said that the level of teacher professionalism determines the quality of education. The same notion allies for gifted education. Therefore, exploration of teacher professionalism in gifted education may provide fundamental bases for raising the quality of gifted education. In this study, first, literature review was conducted to extract elements of teacher professionalism in gifted education and a survey instrument was developed to find out categories of those elements and differences of teacher perception to professionalism at school levels and subject areas of gifted education. Research subjects included 212 teachers who participated in 2005 KEDI teacher training program of gifted education, 60 hour-clock introductory program and 232 teachers who participated in 2005 KEDI teacher training program of gifted education, 120 hour-clock enrichment program. It was found that elements of teacher professionalism in gifted education were categorized into knowledge-based, abilitybased and context-based. It was also found that secondary school teachers' perception to knowledge-based professionalism was significantly higher than those at elementary and science teachers' perception to ability-based and context-based professionalism was significantly higher than mathematics teachers. The research findings may provide insights for better teacher training program in gifted education as well as gifted education policies.

• Communications of Mathematical Education
• /
• v.36 no.3
• /
• pp.439-467
• /
• 2022

The future society requires not only knowledge but also various competencies, including creativity, cooperative spirit and integrated thinking. This research develops a program for integrating mathematics and information science to enhance important mathematical competencies such as problem-solving and communication. This program does not require much prior knowledge, can be motivated using everyday language and easy-to-access tools, and is based on creative problem-solving activities with multilateral cooperation. The usefulness and rigor of mathematics are emphasized as the number of participants increases in the activities, and theoretical principles stem from the matrix theory over finite fields. Moreover, the activity highlights a connection with error-correcting codes, an important topic in information science. We expect that the real-world contexts of this program contribute to enhancing mathematical communication competence and providing an opportunity to experience the values of mathematics and that this program to be accessible to teachers since coding is not included.

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

• Proceedings of the Korean Society of Computer Information Conference
• /
• 2019.01a
• /
• pp.319-321
• /
• 2019

본 논문에서는 수학교육용 소프트웨어에서 확률적 현상을 경험한 이후 과학 그래프 해석에 있어 확률론적 관점을 도입하여 해석하는 학습자의 관점의 변화를 제시한다. 이 연구에서 11명의 고등학교 1학년 학생은 수학교육용 소프트웨어인 지오지브라(GeoGebra)를 활용하여 학습자가 평면 상에서 수직선이나 반원 위에 점을 찍는 활동을 통하여 기하학적 확률을 경험하였으며 이와 같은 경험을 토대로 물의 상평형 그래프를 해석하였다. 물의 상평형 그래프에 나타나는 얼음(고체), 물(액체), 수증기(기체)의 상태 변화에 대하여 각 상태가 나타나는 온도-압력의 영역 간의 경계에 대하여 학습자는 기하학적 확률을 적용하여 해석하려고 하였으나 경계선 위의 온도-압력의 물의 미시적 구조를 표현하는 과정에서 4명의 학생만 확률론적 관점으로 해석하고 그렇지 못한 학생들은 상태의 공존을 물질적 관점이나 과정적 관점으로 이해하였다.

• Communications of Mathematical Education
• /
• v.22 no.1
• /
• pp.65-77
• /
• 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 Gifted/Talented Education
• /
• v.25 no.6
• /
• pp.905-926
• /
• 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 Digital Convergence
• /
• v.14 no.12
• /
• pp.441-449
• /
• 2016

Today, as a daily routine such as administration/finance is operated under information system and various cyber crime against national, public, and private institutions happen, demand for information security manpower is increasing. Hence, Ministry of Education has formed an Institute of Information Security Education for the Gifted to early discover talent in the field of information security and train professional personnel with specialty and ethics in 4 universities of country in 2014. But the nascent Institute of Information Security Education for the Gifted lack systematic analyses compared to Institute of Mathematics and Science Education for the Gifted that has existed from a long time ago. In this paper, we analyze the state of the Institute of Information Security Education for the Gifted in three parts: operation, selection, education and suggest an improvement to build a practical program for effective operations and education.

• Journal of Educational Research in Mathematics
• /
• v.25 no.4
• /
• pp.717-754
• /
• 2015

As a design research, this study aims to identify students' collaborative problems solving patterns using the Wiki and design factors triggering MKB(mathematical knowledge building) in virtual environment. For 70 days, 14 Korean secondary gifted students, who enrolled in calculus II courses in one of gifted institutions in Korea, solved 10 math problems together using the Wiki. In this study, I considered five design factors; motivation, practice of LaTeX, norms of participation, epistemic agency, and two types of educational settings. The primary pattern emergent in students' collaborative problem solving process is identified as 'solutions and refutations' along the double helix consisting of the constructive line and the critical line, which is very similar to the pattern of 'Conjectures and Refutations'(Lakatos, 1976). Despite that most participants had difficulty in using LaTeX for mathematical expressions, this study shows that Wikis are valuable tools for providing Korean secondary students opportunities to learn social virtue such as humility and courage (Lampert, 1990), which is considered to be have been neglected in Korean educational environment but is emphasized as precious for doing mathematics in the field of mathematics education.

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