• The Mathematical Education
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• v.39 no.2
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• pp.81-99
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• 2000

The Purpose of this study is to develop and implement an alternative secondary mathematics curriculum to enhance creative problem-solving abilities. The curriculum consisting of three main elements-content knowledge, process knowledge and creative thinking sills-as developed. Lessons were taught by a problem-based-learning method in an experimental group. In order to examine the effect of the curriculum, performance assessment was developed and used for pre and post.. There were significant group differences in the creative problem-solving abilities, so we could examine the effect of developed program and confirm the group differences in the attitude for lessons. But there were no significant group differences in motive for learning, a study skill and the achievement test.

• Communications of Mathematical Education
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• v.30 no.2
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• pp.161-178
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• 2016

Mathematics problem based learning(PBL), which has recently attracted much attention, is a teaching and learning method to increase mathematical ability and help learning mathematical concepts and principles through problem solving using students' mathematical prerequisite knowledge. In spite of such a quite attention, it is not easy to apply and practice PBL actually in school mathematics. Furthermore, the recent instructional situations or environments has focused on student's self construction of their learning and its process. Because of this reason, to whom is related to mathematics education including math teachers, investigation and recognition on the degree of students' acquisition of mathematical thinking skills and strategies(for example, inductive and deductive thinking, critical thinking, creative thinking) is an very important work. Thus, developing mathematical thinking skills is one of the most important goals of school mathematics. In particular, recently, connection or integration of one subject and the other subject in school is emphasized, and then mathematics might be one of the most important subjects to have a significant role to connect or integrate with other subjects. While considering the reason is that the ultimate goal of mathematics education is to pursue an enhancement of mathematical thinking ability through the enhancement of problem solving ability, this study aimed to implement basically what is the meaning of the integrated thinking ability in problem based learning theory in Mathematics. In addition, using historical materials, this study was to develop mathematical materials and a sample of a concrete instructional guideline for enhancing integrated thinking ability in problem based learning program.

• Education of Primary School Mathematics
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• v.18 no.1
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• pp.17-30
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• 2015

The purpose of this study is to identify how developed program influence students' creativity by analyzing creative thinking and creative attitude which is appeared when mathematically gifted students get the program expected to improve their creativity. For the study, the 'dimension based geometry exploring program' was developed that consist of twelve lessons. The main idea of it, is implication of the novel . Through a pre and post-test, students's creativity were measured and compared. The results show significant changes on the scores of creative thinking skills and creative attitudes. As the result, mathematically gifted students' creative thinking skills and creative attitudes were improved by applying the of dimension based geometry exploring program.

• Communications of Mathematical Education
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• v.31 no.4
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• pp.389-407
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• 2017

Many researches related to STEAM education have been actively conducted for developing elementary and secondary school students' comprehensive and logical thinking ability in relation to creativity education in Korea. Each sub factor of STEAM education requires creative thinking with the ability to be merged together to solve problems as integrated or combined forms in the fields of Science, Technology, Engineering, Arts, and Mathematics. Also, these STEAM activities and experiences should be carried out at various places outside the classroom in school. Although various educational programs to enhance mathematical creativity have been emphasized for elementary and secondary school students, recent tendency to focus on classroom learning in the school makes it difficult to develop creative thinking ability of students. This research is mainly based on the result of the project "Development and Administration of STEAM Outreach Program in 2016" supported by KOFAC(Korea Foundation for the Achievement of Science & Creativity). The purpose of this research is to develop a STEAM outreach program including students' activity books, teachers' manuals and administration manual that can maximize STEAM-related interest of students, and to provide a chance for elementary and secondary school students to experience creative thinking based on sub factors of STEAM. The STEAM competency total score and the perception of convergence education were significantly increased for all students participating this program, but some sub factors showed different result by school levels. The STEAM outreach program developed by this study is designed to emphasize STEAM education especially 'based on' mathematics in order to provide students with the opportunity to experience more interest in the field of mathematics and will be able to provide an interesting creative STEAM outreach program that utilizes a variety of activities which, we expect, would help students to consider their career in the future.

• East Asian mathematical journal
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• v.34 no.2
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• pp.127-154
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• 2018

In the 2015 revised curriculum, "creative and convergent talent prize" was presented as a human resource to be pursued by current curriculum. The core competencies that future talent should have are self-management capacity, knowledge information processing capacity, creative thinking capacity, aesthetic capacity, communicative competence, and community competence. The researcher believes that among the six core competencies, the ability to have more attention today is aesthetic capacity and that mathematics education should pursue it. The mathematical teaching methods based on Rudolf Steiner's anthroposophy education theory is an education that actively raises the aesthetic sensitivity of students. Therefore, this study investigates the features of educational methods based on the Steiner's anthroposophy and examines mathematics education methods based on them.

• Journal of the Korean School Mathematics Society
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• v.17 no.3
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• pp.359-384
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• 2014

The purpose of this study is inquire the reaction and adaptability of the mathematically gifted student, in the case of introduce learning materials based on GeoGebra in real class. The study program using GeoGebra consist of 'construction of fundamental figures', 'making animation with using slider tools' (graph of a function, trace of a figure, definite integral, fixed point, and draw a parametric curve), make up the group report after class. In detail, 1st to 15th classes are mainly problem-solving, and topic-exploring classes. To analyze the application effects of developed learning materials, divide students in four groups and lead them to make out their own creative products. In detail, guide students to make out their own report about mathematical themes that based on given learning materials. Concretely, build up the program to make up group report about their own topics in six weeks, after learning on various topics. Expert panel concluded that developed learning materials are successfully stimulate student's creativity in various way, after analyze of the student's activities. Moreover, those learning programs also contributed to the develop of the mathematical ability to thinking that necessary to writing a report. As well, four creative products are assessed as connote mathematically gifted student's creative thinking and meaningful elements in mathematical aspects.

• School Mathematics
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• v.15 no.4
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• pp.701-721
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• 2013

In this study, I set the 5th grade children mathematically gifted in elementary school to pose freely the creative and difficult mathematical problems by using their knowledges and experiences they have learned till now. I wanted to find out that the math brains in elementary school 5th grade could posed mathematical problems to a certain levels and by the various and divergent thinking activities. Analyzing the mathematical problems of the mathematically gifted 5th grade children posed, I found out the math brains in 5th grade can create various and refined problems mathematically and also they did effort to make the mathematically good problems for various regions in curriculum. As these results, I could conclude that they have had the various and divergent thinking activities in posing those problems. It is a large goal for the children to bring up the creativities by the learning mathematics in the 2009 refined elementary mathematics curriculum. I emphasize that it is very important to learn and teach the mathematical problem posing to rear the various and divergent thinking powers in the school mathematics.

• Research in Mathematical Education
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• v.16 no.4
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• pp.233-244
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• 2012

The purpose of this study is to investigate the relationship between creativity development and debate in solving a probability task. We developed the probability task with instructional strategies facilitating debating among students. 33 students in grade 11 who were identified as gifted participated in this study. The findings indicated that debating leads students to critical and reflective thinking on prior learning regarding probability concepts, which nurtured creative ideas on sample space.

• School Mathematics
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• v.10 no.4
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• pp.583-601
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• 2008

The creative productivity is regarded as an essential factor to perform the gifted education. While it is very important to cultivate and to expand a creative productivity through mathematically problem solving in gifted education, we have difficulties in actual education of the (mathematically) gifted, even are there few researches/studies which deal with teaching and guiding the creative problem solving in mathematically gifted education, it is hard to find a guideline that provides proper ways (or directions) of learning-instruction and evaluation of the mathematically gifted. Therefore in this study, the researcher would provide a learning-instruction model to expand a creative productivity. The learning-instruction model which makes the creative productivity expanded in mathematically gifted education is developed and named MG-CPS(Mathematically Gifted-Creative Problem Solving). Since it reflected characteristics of academic- mathematical creativity and higher thinking level of the mathematically gifted, this model is distinguished from general CPS. So this model is proper to provide a learning experience and instruction to the mathematically gifted.

• 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.