• Education of Primary School Mathematics
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• v.9 no.1 s.17
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• pp.31-41
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• 2005

In modern theory, creativity is an aim of mathematics education not only for the gifted but also fur the general students. The assertion that we must cultivate the creativity for the gifted students and drill the mechanical activity for the general students are unreasonable. Freudenthal has advocated the reinvention method, a pedagogical principle in mathematics education, which would promote the creativity. In this method, the pupils start with a meaningful context, not ready-made concepts, and invent informative method through which he could arrive at the formative concepts progressively. In many face the reinvention method is contrary to the traditional method. In traditional method, which was named as 'concretization method' by Freudenthal, the pupils start with ready-made concepts, and applicate this concepts to various instances through which he could arrive at the understanding progressively. Freudenthal believed that the mathematical creativity could not be cultivated through the concretization method in which the teacher transmit a ready-made concept to the pupils. In the article, we close examined the reinvention method, and presented a context of delivery route which is a illustration of reinvention method. Through that context, the principle of pascal's triangle is reinvented progressively.

• Journal of the Korean School Mathematics Society
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• v.25 no.2
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• pp.195-224
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• 2022

In this study, pre-service mathematics teachers cultivated technology content teaching knowledge (TPACK) in the regular curriculum of the College of Education. The course was designed to enhance pre-service teachers' mathematical communication skills by using an application, which is a mobile mathematics learning content for the development of group creativity of high school students. The educational program to improve mathematics teaching expertise using the application for group creativity expression consists of pre-education, goal setting, planning, teaching at school, and evaluation. In this process, pre-service teachers evaluated technology tools. They also wrote a task dialogue, lesson play, reflective journal, and lesson plan to guide high school students to develop group creativity in both app activities. As a result of the educational program, pre-service mathematics teachers cultivated TPACK and enhanced their mathematical communication skills with high school students to develop group creativity.

• Korean Journal of Childcare and Education
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• v.17 no.1
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• pp.41-63
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• 2021

Objective: The purpose of this research was to examine the effects of an 'Ice' project, a topic chosen based on children's interests to discover the improvement of scientific and mathematical abilities, and creativity of four-year-old children. Methods: For this research, 34 four-year-old children from M childcare center were selected. Seventeen children were placed in the experimental group and the remaining 17 children were placed in the comparison group. After the project was completed, to observe the differences between the two groups, the Mann-Whitney U test was conducted. Results: First, the 'Ice' project had an effect on improving children's scientific abilities and its subfactors. Second, the 'Ice' project hadsignificant effects on improving children's algebraic and geometric mathematical skills. Third, excluding the resistance to premature closure among the subfactors of creativity, the 'Ice' project contributed to improve children's creativity and all sub-factors. Conclusion/Implications: The 'Ice' project activities, a subject chosen from the interests of children, led active play participation from children and brought positive effects in immersion of play and activity. Such effects proved to affect children's scientific abilities, mathematical abilities, and creativity, and suggest this research can be used as base line data in follow-up research on various project activities.

• Proceedings of the Korean Society for the Gifted Conference
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• 2001.05a
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• pp.43-72
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• 2001

Identification and discrimination the mathematical giftedness must be based on it's definition and factors. So, there must be considered not only IQ or high ability in mathematical problem solving, but also mathematical creativity and mathematical task commitment. Furthermore, we must relate our ideas with the programs to develop each student's hidden potential not to settle only. This study is focused on the discrimination of the recipients who would like to enter the elementary school level mathematical gifted education program. To fulfill this purpose, I considered the criteria, principles, methods, tools and their application. In this study, I considered three kinds of testing tools. The first was KEDI - WISC personal IQ test, the second is mathematical problem solving ability written test(1st type), and the third was mathematical creativity test(2nd type) which were giving out divergent products. The number of the participant of these tests were 95(5-6 grade). According to the test, students who had ever a prize in the level of national mathematical contest got more statistically significant higher scores on 1st and 2nd type than who had ever not, but they were not prominent on the phases of attitude, creative ability or interest and willing to study from the information of the behavior characteristics test. Using creativity test together with the behavior characteristics test will be more effective and lessen the possibility of exclusion the superior.

• Education of Primary School Mathematics
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• v.16 no.1
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• pp.1-20
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• 2013

The aim of this study was to develop a gifted educational program in math-gifted class in elementary school using recently developed 4D-frame. This study identified how this program impacted on spatial sense and mathematical creativity for mathematically gifted students. The investigation attempted to contribute to the developments for the gifted educational program. To achieve the aim, the study analysed the 5 and 6th graders' figure learning contents from a revised version of the 2007 national curriculum. According to this analysis, twelve learning sections were developed on the basis of 4D-frame in the math-gifted educational program. The results of the study is as follows. First, a learning program using 4D-frame for spatial sense from mathematically gifted elementary school students was statistically significant. A sub-factor of spatial visualization called mental rotation and sub-factors of spatial orientations such as sense of distance and sense of spatial perception were statistically significant. Second, the learning program that uses 4D-frame for mathematical creativity was statistically significant. The sub-factors of mathematical creativity such as fluency, flexibility and originality were all statistically significant. Third, the manipulation properties of 4D-frame helped to understand the characteristics of various solid figures. Through the math discussions in the class, participants' error correction was promoted. The advantage of 4D-frame including easier manipulation helped participants' originality for their own sculpture. In summary, this found that the learning program using 4D-frame attributed to improve the spatial sense and mathematical creativity for mathematically gifted students in elementary school. These results indicated that the writers' learning program will help to develop the programs for the gifted education program in the future.

• Journal of Educational Research in Mathematics
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• v.26 no.1
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• pp.1-22
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• 2016

This study aims to design an exemplification task to facilitate the students' creative thinking, and to investigate mathematical creativity which emerges from exemplification. In particular, we aim to identify the ways to design exemplification tasks which encourage creative thinking, and characterize mathematical creativity fostered by exemplification. The findings showed that the students' creative thinking related to fluency, flexibility, elaboration, and originality emerged through exemplification.

• Journal of Gifted/Talented Education
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• v.15 no.2
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• pp.127-151
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• 2005

The purpose of this study is to examine the relationships between process variables, personality traits, intrinsic/extrinsic motivation and their mathematical creativity and how much these factors affect this creativity. These results show the major factor in mathematical creativity as being the gender difference between the gifted male and female middle school students. This also suggests that the education and living guidance of both gifted male and female students should take a different direction in relation to their gender differences in middle schools. In conclusion, all of the normal intellective and non-intellective factors, as well as home process variables, are the basic major data concerned with the effects of mathematical creativity. So, it is with all of this research that the proof for researching synthetically via a new creative research model can be offered.

• Journal of Korean Home Economics Education Association
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• v.14 no.3
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• pp.51-64
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• 2002

The Purposes of This Study is to investigate the relationships among Multiple Intelligence(MI). Creativity and Home Economics achievements of the middle & high school students. The research of this study are performed as follows Subject of this study were 142 middle school student & 127 girls' high school. And The “Creativity Test” developed by Korean Creativity Research Institute(1998). Multiple Developmental Assesment scale were administrated as data gathering tools And end-term exam scores on 9 subject were collected as the measure of academic achievement. Especially the Home Economics achievement were collected with Written test and performance assesment. The data were analysed by pearson's correlation. The findings of this study were as follows: 1) A statistically significant correlation among the MI and Home Economics achievements in middle school students(linguistic, Logical-mathematical. Musical. Interpersonal, Intrapersonal) and high school students(linguistic, Logical-mathematical, Interpersonal) were found. But There were not statistical difference between another 8 subjects. 2) In middle school students. a statistically significant correlation among the creativity and Home Economics achievements were found But in high school students, statistically significant correlation among the creativity and Home Economics achievements were not found 3) In MI and Home Economics achievements correlation. there were not difference between written test and performance assesment.

• Communications of Mathematical Education
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• v.24 no.2
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• pp.301-323
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• 2010

This study was to find the direction to assessment of school mathematics in accordance with 2009 reformed curriculum. As new trends in the latest reformed 2009 curriculum, creativity, multicultural education, and mathematics disposition were focused. In creativity, more items should be developed for enhancing students' ability in areas of fluency, elaborateness, and originality, besides flexibility which was mostly dealt in the formal assessments that have been done previously in school. In multicultural education. purposeful bilingual programs should be developed in mathematics education to improve not only students' language skill, but also mathematical ability. In mathematical disposition, various questionnaires including checklists along with clinical interview should be provided to evaluate students' on-going process of mathematical learning.

• Communications of Mathematical Education
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• v.25 no.1
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• pp.245-259
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• 2011

In this study, the instrument of mathematical creative problem solving ability test were considered the differences between Korean and American sixth grade students in mathematical creativity ability and mathematical thinking ability. The instrument consists of 9 items. The participants for the study were 212 Korean and 148 American students. SPSS were carried out to verify the validities and reliability. Reliabilities(Cronbach ${\alpha}$) in mathematical creativity ability is 0.9047 and in mathematical thinking ability is 0.9299 which were satisfied internal validity evaluation on the test items. Internal validity were analyzed by BIGSTEPS based on Rasch's 1-parameter item response model. The results of this study can serve as a foundation for understanding the Korean and American students differences in mathematical creativity ability and mathematical thinking ability. Especially we get the some informations on mathematical creativity ability for American's fifth grade to seventh grade students.