• Journal of Elementary Mathematics Education in Korea
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• v.16 no.1
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• pp.39-61
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• 2012

Mathematical creativity is essential in school mathematics and mathematics curriculum and ensures the growth of mathematical ability. Therefore mathematics educators try to develop students' creativity via mathematics education for a long time. In special, 2011 revised mathematics curriculum emphasizes mathematical creativity. Yet, it may seem like a vague characterization of mathematical creativity. Furthermore, it is needed to develop the methods for developing the mathematical creativity. So, the goal of this paper is to search for teaching and learning models for developing the mathematical creativity. For this, I discuss about issues of mathematical creativity and extract the factors of mathematical creativity. The factors of mathematical creativity are divided into cognitive factors, affective factors and attitude factors that become the factors of development of mathematical creativity in the mathematical instruction. And I develop 8-teaching and learning models for development of mathematical creativity based on the characters of mathematics and the most recent theories of mathematics education. These models make it crucial for students to develop the mathematical creativity and create the new mathematics in the future.

• East Asian mathematical journal
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• v.33 no.4
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• pp.381-411
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• 2017

The purpose of this study is to investigate how students' mathematical creativity changes through problem-solving instruction using problem-posing for elementary school students and to explore instructional methods to improve students' mathematical creativity in school curriculum. In this study, nonequivalent control group design was adopted, and the followings are main results. First, problem-solving lessons with problem-posing had a significant effect on students' mathematical creativity, and all three factors of mathematical creativity(fluency, flexibility, originality) were also significant. Second, the lessons showed meaningful results for all upper, middle, and lower groups of pupils according to the level of mathematical creativity. When analyzing the effects of sub-factors of mathematical creativity, there was no significant effect on fluency in the upper and middle groups. Based on the results, we suggest followings: First, there is a need for a systematic guidance plan that combines problem-solving and problem-posing, Second, a long-term lesson plan to help students cultivate novel mathematical problem-solving ability through insights. Third, research on teaching and learning methods that can improve mathematical creativity even for students with relatively high mathematical creativity is necessary. Lastly, various student-centered activities in math classes are important to enhance creativity.

• Research in Mathematical Education
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• v.15 no.2
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• pp.181-196
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• 2011

In mathematical modeling tasks, where students are exposed to model-eliciting for real and open problems, students are supposed to formulate and use a variety of mathematical skills and tools at hand to achieve feasible and meaningful solutions using appropriate problem solving strategies. In contrast to problem solving activities in conventional math classes, math modeling tasks call for varieties of mathematical ability including mathematical creativity. Mathematical creativity encompasses complex and compound traits. Many researchers suggest the exhaustive list of criterions of mathematical creativity. With regard to the research considering the possibility of enhancing creativity via math modeling instruction, a quantitative scheme to scale and calibrate the creativity was investigated and the assessment of math modeling activity was suggested for practical purposes.

• The Mathematical Education
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• v.48 no.4
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• pp.443-454
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• 2009

This study reviewed the notion and strategies of mathematical creativity from two point of view, mathematics and creativity. By these reviews, the spectrum was presented as frame of mathematical creativity task. Creativity and mathematics were seen as polar opposites and mathematical creativity task fit clearly at various points in this spectrum. Some focused on the quantity of ideas and originality from creative point of view. On the other hand, some focused on reasoning, insight, and generalization from mathematical point of view. The tasks on the spectrum were served as the vehicle of mathematical creativity and mathematics classroom. Therefore, there were some specific suggestions that mathematics classroom could be made a place where students and teachers would be able to foster their mathematical creativity.

• Research in Mathematical Education
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• v.9 no.4 s.24
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• pp.341-350
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• 2005

In this increasingly technological world, the creativity development has been highlighted much in many countries. In this paper, two mathematical activities with Chinese characteristics are presented to illustrate how to integrate algorithmic teaching into mathematical activities to develop students' creativity. Case studies show that the learning of algorithm can be transferred into creative learning when students construct their own algorithms in Logo environment rather than being indoctrinated the existing algorithms. Creativity development in different stages of mathematical activities and creativity development in programming are also discussed.

• The Mathematical Education
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• v.47 no.2
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• pp.135-154
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• 2008

The purpose of this study is to help to improve the method of math teaching by analysing how learner-centered teaching method offsets mathematical creativity and mathematical disposition. For this purpose, research questions are established as follows; (1) Mathematical creativity between open-ended learning activity approach(OLAA) and general classroom-based instruction(GCI) shows any difference? (2) Mathematical disposition between OLAA and GCI shows any difference? The results obtained through this study were as follows: (1) There was significant difference between OLAA group and CCI group in mathematical creativity. This means that open-ended learning activity approach was generally more effective in improving mathematical creativity than general classroom-based instruction. (2) There was no significant difference between OLAA group and GCI group in mathematical disposition. But the average scores of mathematical disposition except mathematical confidence improved a little. So we can say that open-ended learning activity approach brought an positive influence on students' mathematical disposition. The results obtained in this study suggest that the OLAA can be used to cultivate the children's mathematical creativity and disposition. Therefore, I suggest that teachers should use the OLAA to improve the children's mathematical creativity and disposition.

• The Mathematical Education
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• v.46 no.3
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• pp.293-302
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• 2007

In this paper, we review definition and concept of mathematical creativity. A couple of criteria have established for perspectives in mathematical creativity, The first is specific domain(mathematics) vs general domain(creativity) and the second is process(thinking process) vs outcome(divergent production). By these criteria, four perspectives have constructed : mathematics-thinking process approach(McTd), mathematics-divergent production approach(MctD), creativity-thinking process approach(mCTd), creativity-divergent production approach(mCtD). When mathematical creativity is researched by the specific reason and particular focus, an appropriate approach can be chosen in four perspectives.

• Communications of Mathematical Education
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• v.20 no.4 s.28
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• pp.561-574
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• 2006

Mathematical creativity has been confused with general creativity or mathematical problem solving ability in many studies. Also, it is considered as a special talent that only a few mathematicians and gifted students could possess. However, this paper revisited the mathematical creativity from a mathematics educator's point of view and attempted to redefine its definition. This paper proposes a model of creativity in school mathematics. It also proposes that the basis for mathematical creativity is in the understanding of basic mathematical concept and structure.

• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.679-690
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• 1998

I wish to search for educational alternatives which improve students' mathematical creativity. As the first attempt for this, theories of general creativity and characters of mathematical creativity are discussed. And four factors( teacher variables. student variables, teaching and learning variables. environment variables) affecting mathematical creativity are analyzed. It is a educational well-known fact that students should think creatively and solve the problems for themselves. We postulate the fact that students' mathematical creativity can be developed. I think it is a mission and a duty for mathematics educators to develop the students' mathematical creativity fully. Mathematics educators should search for the methods which encourage the students to have mathematical creativity and should develop them.

• The Mathematical Education
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• v.42 no.1
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• pp.1-9
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• 2003

We examined the relations between Mathematical Creative Problem Solving Ability Test(MCPSAT: Kim etl. 1997) and Torrance Test of Creative Thinking Figural A (TTCT; adapted for Korea by Kim etl. 1999). The subjects in this study were 31 fifth-grade students. In the analysis of data, frequencies, percentiles, t-test correlation analysis were used. The results of the study are summarized as follows; First, we have the correlations between the originality of general creativity and the three elements--fluency, flexibility, and the total--of mathematical creativity (significant at p<.01). Second, We know the correlations between the total of general creativity and the three elements of mathematical creativity(significant at p<.05).