• Proceedings of the Korea Society of Mathematical Education Conference
• /
• 2007.02a
• /
• pp.19-34
• /
• 2007

• Journal of the Korean School Mathematics Society
• /
• v.22 no.2
• /
• pp.133-161
• /
• 2019

In this paper, we analyzed the case of supporting the mathematical modeling activities through the group creativity in everyday class of 9th grade. The details are as follows. First, through the theoretical review, the meaning of group creativity according to sociocultural perspective and the sociocultural characteristics of mathematical modeling were confirmed. Second, we experimented in a classroom consisting of 5 groups of 4 students, and conducted a case study focusing on a well developed group of group creativity. The results are as follows. First, group creativity with various types of interaction and creativity synergy was observed at each stage of mathematical modeling. According to the stag e of mathematical modeling and the type of interaction, different creative synergy was developed. Second, the developed group creativity supported each step of mathematical modeling. According to the stage of mathematical modeling and the type of interaction, group creativity supported mathematical modeling activities in different directions.

• The Mathematical Education
• /
• v.38 no.1
• /
• pp.37-48
• /
• 1999

The purpose of this study is to examine the mathematical creativity problem-solving ability of middle school students gifted in mathematics. For this research, we examined and analyzed the responses to two multiple solution problems of the gifted students with classifying the four categories; fluency, flexibility, originality, and elaboration which are the factors of the creativity, and comparing with responses of usual students.

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

• Education of Primary School Mathematics
• /
• v.24 no.4
• /
• pp.175-187
• /
• 2021

The purpose of this study is to investigate the effects of solving multi-strategic mathematics problems on mathematical creativity and attitudes of the 6th grade students. For this study, the researchers conducted a survey of forty nine (26 students in experimental group and 23 students in comparative group) 6th graders of S elementary school in Seoul with 19 lessons. The experimental group solved the multi-strategic mathematics problems after learning mathematics through mathematical strategies, whereas the group of comparative students were taught general mathematics problem solving. The researchers conducted pre- and post- isomorphic mathematical creativity and mathematical attitudes of students. They examined the t-test between the pre- and post- scores of sub-elements of fluency, flexibility and creativity and attitudes of the students by the i-STATistics. The researchers obtained the following conclusions. First, solving multi-strategic mathematics problems has a positive impact on mathematical creativity of the students. After learning solving the multi-strategic mathematics problems, the scores of mathematical creativity of the 6th grade elementary students were increased. Second, learning solving the multi-strategy mathematics problems impact the interest, value, will and efficacy factors in the mathematical attitudes of the students. However, no significant effect was found in the areas of desire for recognition and motivation. The researchers suggested that, by expanding the academic year and the number of people in the study, it is necessary to verify how mathematics learning through multi-strategic mathematics problem-solving affects mathematical creativity and mathematical attitudes, and to verify the effectiveness through long-term research, including qualitative research methods such as in-depth interviews and observations of students' solving problems.

• Journal of the Korean School Mathematics Society
• /
• v.15 no.3
• /
• pp.411-428
• /
• 2012

There is no single definition of mathematical creativity. But creativity is a key competency to adapt and live in the future. So, there are so many attentions to develop students' mathematical creativity in school mathematics. In special, mathematical problem posing activity is a good method in enhancing mathematical creativity. The purpose of this paper is to analyse on the students' mathematical creativity using problems which are made by students in problem posing activities. 16 children who consist of three groups(high, middle, low) are participated in this study. They are trained to make the problem by Brown & Walter's 'What if not' strategy. The results are as follows: Total creativity is proportional to general achievement levels. There is a difference total creativity between items contents. The number of problems differs little according to the general achievement levels. According to the qualitative analysis, students make the problems using the change of terms. And there is no problem to generalize. Based on this paper, I suggest comparing the creativity between problem posing activity and other creative fields. And we need the deeper qualitative analysis on the students' creative output.

• The Mathematical Education
• /
• v.54 no.1
• /
• pp.65-81
• /
• 2015

The purpose of this study is to investigate the international trends of how the core competencies are reflected in mathematics curriculum, and to find the implications for the revision of Korean mathematics curriculum. For this purpose, the curriculum of the 9 countries including the U.S., Canada(Ontario), England, Australia, Poland, Singapore, China, Taiwan, and Hong Kong were thoroughly reviewed. It was found that a variety of core competencies were reflected in mathematics curricula in the 9 countries such as problem solving, reasoning, communication, mathematical knowledge and skills, selection and use of tools, critical thinking, connection, modelling, application of strategies, mathematical thinking, representation, creativity, utilization of information, and reflection etc. Especially the four most common core competencies (problem solving, reasoning, communication, and creativity) were further analyzed to identify their sub components. Consequently, it was recommended that new mathematics curriculum should consider reflecting various core competencies beyond problem solving, reasoning, and communication, and these core competencies are supposed to combine with mathematics contents to increase their feasibility. Finally considering the fact that software education is getting greater attention in the new curriculum, it is necessary to incorporate computational thinking into mathematics curriculum.

• Communications of Mathematical Education
• /
• v.32 no.4
• /
• pp.477-493
• /
• 2018

The six core competencies included in the mathematics curriculum Revised in 2015 are problem solving, reasoning, communication, attitude and practice, creativity and convergence, information processing. In particular, the creativity and convergence competency is very important for students' enhancing much higher mathematical thinking. Based on the creativity and convergence competency, this study selected the five elements of the creativity and convergence competency such as productive thinking element, creative thinking element, the element of solving problems in diverse ways, and mathematical connection element, non-mathematical connection element. And also this study selected the content(chapter) of the graph in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the five elements of the creativity and convergence competency were shown in each textbook.

• The Mathematical Education
• /
• v.50 no.4
• /
• pp.403-428
• /
• 2011

The direction of recent education literature points to the importance of creativity and creative practices, which also plays an important role in character education and has been recognized as being invaluable for the educational goals of the 21st century. As such, the goal of mathematics educators and researchers has also been on emphasizing the importance of building character and promoting creative practices. In this research, we study the pedagogical measures that can be easily implemented in classrooms to foster creative mathematical thinking and practices in students. In particular, the mathematical topic of interest is three-dimensional geometry, and especially polygons, and processes in which mathematical knowledge and creative practices play out in classrooms. For example, we explore how these creative lessons can be organized as the target internalization lessons, concepts definition lessons, regularity and relationship lessons, question posing lessons, and narrative story lessons. All of these lessons share three commonalities: 1) they require specific planning and execution challenges in order to achieve creative tasks, 2) they take advantage of open-ended problems, and 3) they are activity-oriented. Through this study, we hope to further our understanding on successful creative mathematical educational practices in the field of mathematics education, and help establish model lessons and materials for teachers and educators to use towards such goals.

• Communications of Mathematical Education
• /
• v.20 no.3 s.27
• /
• pp.407-423
• /
• 2006

The reason why creativity becomes the important subject in 21th century is that it does an important role which solves many problems surrounding our whole life in this internationalization, globalization, knowledge-information age. But scholars who formerly researched the creativity-field explain the necessity of creativity with the internal and fundamental reasons. That is, scholars say that creative activities produce originative products and originality itself. And it is the root of which will be able to discover meaning of life and it -creativity - is successive activities that is demanded when individual life want to obtain important value by expressing one's inner world to the outside using creative resource. Recently, with the trends of present age and the educational needs, research about creativity is actively carried out and it draws out the results that creativity can be developed and enhanced through education and training. So, now many researches have focused on how to develop the creativity. Investigating those researches, we found that the recent issues of researches on creativity were changing and now they focused on creative instruction methods and behavioral factors. Especially, they were selected as the subject related to the creative education - creative instructional method and program, atmosphere in classroom, and factors of teacher. It means that the past researches which were a little bit conceptive have been changing to material ones which will be able to enhance creativity and its effect. So, in this research, we have developed the program for CPS(Creativity Problem Solving) and verified its effect.