• Education of Primary School Mathematics
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• 제14권2호
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• pp.117-134
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• 2011

The purpose of this research was to analyze mathematical task types to enhance creativity. Creativity is increasingly important in every field of disciplines and industries. To be excel in the 21st century, students need to have habits to think creatively in mathematics learning. The method of the research was to collect the previous research and papers concerning creativity and mathematics. To search the materials, the researcher used the search engines such as the GIL and the KISTI. The mathematical task types to enhance creativity were categorized 16 different types according to their forms and characteristics. The types of tasks include (1) requiring various strategies, (2) requiring preferences on strategies, (3) making word problems, (4) making parallel problems, (5) requiring transforming problems, (6) finding patterns and making generalization, (7) using open-ended problems, (8) asking intuition for final answers, (9) asking patterns and generalization (10) requiring role plays, (11) using literature, (12) using mathematical puzzles and games, (13) using various materials, (14) breaking patterned thinking, (15) integrating among disciplines, and (16) encouraging to change our lives. To enhance students' creativity in mathematics teaching and learning, the researcher recommended the followings: reshaping perspectives toward teaching and learning, developing and providing creativity-rich tasks, applying every day life, using open-ended tasks, using various types of tasks, having assessment ability, changing assessment system, and showing and doing creative thinking and behaviors of teachers and parents.

• Communications of Mathematical Education
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• 제35권3호
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• pp.277-293
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• 2021

The purpose of this study was to find out how problem solving learning with open-ended mathematics problems for elementary school students affects their mathematical creativity and mathematical attitudes. To this end, 9 problem solving lessons with open-ended mathematics problems were conducted for 6th grade elementary school students in Seoul, The results were analyzed by using I-STATistics program to pre-and post- t-test. As a result of the study, problem solving learning with open-ended problems was effective in increasing mathematical creativity, especially in increasing flexibility and originality, which are sub-elements of creativity. In addition, problem solving learning with open-ended problems has helped improve mathematical attitudes and has been particularly effective in improving recognition needs and motivation among subfactors. In problem solving learning with open-ended problems, students were able to share various responses and expand their thoughts. Based on the results of the study, the researchers proposed that it is necessary to continue the development of quality materials and teacher training to utilize mathematical problem solving with open-ended problems at school sites.

• The Mathematical Education
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• 제45권1호
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• pp.25-34
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• 2006

In this paper, we focus on the creative attitude in mathematics as one aspect of mathematical creativity. To measure the creative attitude, we first introduce some prior studies and CAS (Creative Attitude Scale) designed by Noboru Saito in Japan. We develop the CAS-K (Creative Attitude Scale-Korea) including 33 items of 7 factors based on CAS which has 27 items. The factors are fluency, appropriateness, positiveness, independency, concentration, convergency, and accuracy. In CAS-K, it is important to give the information about students' creative attitude for each factor. Thereby, CAS-K can be useful sources of creative attitude to foster mathematical creativity. Rather than the total scores, we emphasize applications and results from CAS-K relating to the 7 factors.

• Journal of Korean Elementary Science Education
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• 제39권3호
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• pp.369-381
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• 2020

This study aims to analyse the relationship between multiple intelligence and scientific creativity of science-gifted elementary students focusing on the subject of biology. For this, 37 science-gifted fifth-graders in the Science-Gifted Education Center at an Office of Education conducted a multiple intelligence test. In addition, researchers collected science-gifted students' results of scientific creativity activity at the botanical garden field trip. The main findings from this study are as follows: First, strong intelligence was logical-mathematical intelligence for gifted students, and weak intelligence was found to be naturalistic intelligence for them. Second, there was no significant correlation in the relationship between multiple intelligence and scientific creativity of science-gifted students. Third, as a result of independent two sample t-test for each intelligence and scientific creativity scores divided into the upper and lower groups, only verbal-linguistic intelligence statistically differed significantly at the level of p<.05 (t=2.13, df=35, p=0.04). Fourth, as a result of conducting a two-way analysis to see if there were any interaction effects, verbal-linguistic and visual-spatial, logical-mathematical and visual-spatial, logical-mathematical and bodily-kinesthetic, and visual-spatial and musical-rhythmic intelligence all showed significant values at the level of p<.05 level in interaction effects on originality element comprising scientific creativity. Fifth, an analysis of students with high naturalistic intelligence showed that their scores of scientific creativity tasks conducted at the botanical garden field trip were all lower. Based on the results of this study, this study discussed the implications of scientific creativity learning linking multiple intelligence in primary science education and gifted education.

• Education of Primary School Mathematics
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• 제21권2호
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• pp.93-109
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• 2018

The purpose of this study is to develop the number puzzle program and the mathematical creativity test and to analyze the effects of the mathematical creativity and the creative attitude in mathematics. To accomplish this aim, the six-grade students elementary school of thirty-six participated and this students participated Magic square, Sudoku, KenKen Puzzle activities in to the morning activity time for 30 minutes every morning and the pre-test of before activity and the post-test of after activity were collected. The number puzzle activity helps improve the mathematical creativity and the creative attitude in mathematics of the elementary school students and improve the mathematical creativity of for female students rather than for male students.

• The Mathematical Education
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• 제48권2호
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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.

• Journal of Gifted/Talented Education
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• 제24권6호
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• pp.1053-1071
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• 2014

Problem posing is used to develop the creativity program and adaption for the gifted, and to screen the gifted students in the selection process. However existing creativity assessment factors(fluence, flexibility, originality) has been recognized to have it's limitation to assess the mathematical creativity. To improve the creativity assessment, we propose new set of assessment factors for mathematical creativity test through problem posing. For this study, we let 19 mathematically gifted students to pose two good mathematical problems for a limited time after solving a certain problem so called a reference problem. A week late, we let the subjects, pre-service teachers, and experts to evaluate the problems posed by the subjects, and leave the reasons for evaluating highest mark and lowest mark. With this date, we propose fluence, flexibility, originality, anti-similarity, complexity, elaboration as the set of mathematics creativity assessment factors.

• The Mathematical Education
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• 제39권2호
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• pp.101-125
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• 2000

Since the 1980\`s metacognition has been one of the core subjects in the studies on mathematical education, the purpose of this study is to examine and analyze the mathematical creativity, problem-solving ability, and beliefs of math of middle school using the metacognition learning method. The results of this study is as follows; the first, we found that the metacognition learning methods were more effective method than classic method to improve the creativity and the problem-solving ability in math.

• Research in Mathematical Education
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• 제13권1호
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• pp.23-30
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• 2009

How to promote creativity for all students in mathematics education is always a hot topic for mathematics educators. Based on the theory study and practice in the project "Open-ended Questions in Mathematics" granted by Ministry of Basic Education Curriculum Study Center in China, the paper reported the effect of "Open-ended Questions in Mathematics" on the way to change the development of thinking ability, to inspire students to develop thinking flexibility, to expand their imagination, to stimulate their interest in learning, and to foster students' creativity.

• School Mathematics
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• 제16권1호
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• pp.1-17
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• 2014

Mathematical creativity in school mathematics is connected with problem solving. The purpose of this study was to analyse elementary students' the mathematical creativity using multiple solution tasks which required to solve a mathematical problem in different ways. For this research, I examined and analyzed the response to four multiple solution tasks according to the evaluation system of mathematical creativity which consisted of the factors of creativity(fluency, flexibility, originality). The finding showed that mathematical creativity was different between students with greater clarity. And mathematical creativity in tasks was different. So I questioned the possibility of analysis of students' the mathematical creativity in mathematical areas. According to the evaluation system of mathematical creativity of this research, mathematical creativity was proportional to the fluency. But the high fluency and flexibility was decreasing originality because it was easy for students to solve multiple solution tasks in the same ways. So, finding of this research can be considered to make the criterion in both originality in rare and mathematical aspects.