• Journal of Gifted/Talented Education
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• v.8 no.2
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• pp.69-89
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• 1998

The purpose of this study is to develop a test which can be used in identification of the gifted students in the area of mathematics. This study was carried out for two years from 1996. Mathematical giftedness is, in this study, regarded as a result of interaction of mathematical thinking ability, mathematical creativity, mathematical task committment, background knowledge. This study presumed that mathematical thinking ability is composed of seven thinking abilities: intuitive insights, ability for information organization, ability for visualization, ability for mathematical abstraction, inferential thinking ability(both inductive and deductive thinking abilities), generalization and application ability, and reflective thinking. This study also presupposed that mathematical creativity is composed of 3 characteristics: fluency, flexibility, originality. The test for mathematical creative problem solving ability was developed for primary, middle, and high school students. The test is composed of two parts: the first part is concentrated more on divergent thinking, while the second part is more on convergent thinking. The major targets of the test were the students whose achievement level in mathematics belong to top 15~20% in each school. The goodness of the test was examined in the aspects of reliability, validity, difficulty, and discrimination power. Cronbach $\alpha$ was in the range of .60~.75, suggesting that the test is fairly reliable. The validity of the test was examined through the correlation among the test results for mathematical creative problem solving ability, I. Q., and academic achievement scores in mathematics and through the correlation between the scores in the first part and the scores in the second part of the test for mathematical creative problem solving ability. The test was found to be very difficult for the subjects. However, the discrimination power of the test was at the acceptable level.

• The Mathematical Education
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• v.48 no.2
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• pp.183-190
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• 2009

This is a following study of the preceding study, Flexibility of mind and divergent thinking in problem solving process that was performed by Choi & Do in 2005. In this paper, we discuss the relationship between ability to shift a viewpoint and insight into invariance, another major consideration in mathematical creativity, in the process of mathematical problem solving.

• East Asian mathematical journal
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• v.40 no.2
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• pp.167-181
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• 2024

This study explored the characteristics of elementary gifted students' creative problem-solving skills combining creativity and problem-solving ability based on their work on Fermi estimation problems. The analysis revealed that gifted students exhibited strong logical validity and breadth but showed some weaknesses in divergent thinking abilities (fluency, flexibility, originality).

• Speech Sciences
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• v.9 no.3
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• pp.113-120
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• 2002

The purpose of this study was to determine the effects of group therapy on the language performance of aphasic patients. Four aphasic subjects participated in group therapy. Their aphasic types were TCMA (transcortical motor aphasia), conduction, anomie, and Broca's aphasia. The focus of the therapy was to stimulate cooperative learning skills. For this purpose, categorization tasks, semantic association tasks, convergent thinking, and divergent thinking tasks were employed. The results showed that all of the aphasic subjects demonstrated some improvement in writing ability, categorization ability, and speaking ability in sentences.

• Journal of Engineering Education Research
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• v.23 no.2
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• pp.3-13
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• 2020

Key objective of cornerstone design is that students are able to experience developing creative design concepts through team activities, but the objective is hard to achieve. Based on a study of research materials, this paper asserts that the possibilities of creative problem solving can be promoted in question-centering ideation model if design artifacts are represented in some forms that could invoke design thinking and then the solution space is appropriately established. In particular, design problem on which divergent questions are asked should be explored and defined so that it can be a linguistic artifact represented by various visual aids. It is recommended that curriculum is modified so that students can experience creative conceptual design.

• The Mathematical Education
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• v.51 no.4
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• pp.337-349
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• 2012

The purpose of this study is to survey and analyze conception on creativity carried out from elementary school teachers in Seoul and Gyeonggi-do area. As results, first, most of teachers replied divergent thinking, creative problem solving, and new creation as general creativity and mathematical creativity. Secondly, they showed that thinking process would be related to transfer and cognition in terms of mathematical creativity factors. Lastly, there are significant differences among groups according to gender, teaching career, and age, even though most teachers expressed sympathy for need of creativity education in mathematics education.

• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.539-560
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• 2013

The purpose of this study was to investigate characteristics of mathematically gifted high school students' thinking in design activities using GrafEq. Eight mathematically gifted high school students, who already learned graphs of functions and inequalities necessary for design activities, were selected to work in pairs in our experiment. Results indicate that logical thinking and mathematical abstraction, intuitive and structural insights, flexible thinking, divergent thinking and originality, generalization and inductive reasoning emerged in the design activities. Nonetheless, fine-grained analysis of their mathematical activities also implies that teachers for gifted students need to emphasize both geometric and algebraic aspects of mathematical subjects, especially, algebraic expressions, and the tasks for the students are to be rich enough to provide a variety of ways to simplify the expressions.

• The Journal of Korean Association of Computer Education
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• v.19 no.6
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• pp.45-54
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• 2016

The purpose of this study is to investigate the effects of Android application programming education to control Arduino using App Inventor on industrial high school students' creative and integrative thinking ability. We developed an instructional content based on integrative learning and creative problem-solving model and taught a class on it. The result of this study showed that there was a significant improvement in divergent thinking and motivation items among the sub elements of creative problem solving. In addition, students' survey on the integrated thinking has shown that many students think that they could design an IoT system applied to everyday life based on the knowledge they have learned in this class. Therefore, it can be confirmed that physical computing education using App Inventor and Arduino has a positive effect on students' creative and integrative thinking ability.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.2
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• pp.253-267
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• 2012

In this paper, we primarily focus on the perspectives about creative process, which is how mathematical creativity emerged, as one aspect of mathematical creativity and then present a desirable task characteristic to measure and program characteristics to develop mathematical creativity. At first, we describe domain-generality perspective and domain-specificity perspective on creativity. The former regard divergent thinking skill as a key cognitive process embedded in creativity of various discipline domain involving language, science, mathematics, art and so on. In contrast the researchers supporting later perspective insist that the mechanism of creativity is different in each discipline. We understand that the issue on this two perspective effect on task and program to foster and measure creativity in mathematics education beyond theoretical discussion. And then, based on previous theoretical review, we draw a desirable characteristic on instruction program and task to facilitate and test mathematical creativity, and present an applicable task and instruction cases based on Geneplor model at the mathematics class in elementary school. In conclusion, divergent thinking is necessary but sufficient to develop mathematical creativity and need to consider various mathematical reasoning such as generalization, ion and mathematical knowledge.

• Journal of the Korea Academia-Industrial cooperation Society
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• v.16 no.11
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• pp.7677-7689
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• 2015

Personality traits have been considered as one of the stable predictors having significant correlations with creativity, although there is lack of study figuring out whether those relationship keeps constant across different educational stages. Exploratory research is conducted to investigate how the correlation between personality traits and creativity changes before adulthood using HEXACO personality measurement renowned for its efficient prediction and explanation of behavioral patterns. A total of 230 elementary, middle, and high school students who participated in Korea Destination ImagiNation completed two divergent thinking tasks(the Alternative Uses Tasks and the Remote Associates task) and HEXACO to measure their creativity and personality traits, respectively. The results showed there was a correlation between some of the personality traits and creativity, which differed by their educational stages.