• The Mathematical Education
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• v.45 no.2 s.113
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• pp.155-163
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• 2006

In this paper, we focus on the analysis of the results of CAS-K (Creative Attitude Scale-Korea) including 33 items of 7 factors. Using the analysis gives us the information about students' creative attitude for each factor. We introduce three methods of the analysis about the results of CAS-K; total scores analysis, mean value of each factor analysis, and CAS-K map analysis. We develop the CAS-K map based on the mean value of each factor and three categories of factors. These categories are divergent attitude (fluency, appropriateness), problem solving attitude (positiveness, independency, concentration), and convergent attitude (convergency, accuracy). This analysis of the results of CAS-K can be a source of creative attitude to foster mathematical creativity.

• Research in Mathematical Education
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• v.10 no.1 s.25
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• pp.55-70
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• 2006

The purpose of this study was to develop math creative problem solving test in order to identify the mathematically gifted on the basis of their math creative problem solving ability and evaluate the goodness of the test in terms of its reliability and validity of measuring creativity in math problem solving on the basis of fluency in producing valid solutions. Ten open math problems were developed requiring math thinking abilities such as intuitive insight, organization of information, inductive and deductive reasoning, generalization and application, and reflective thinking. The 10 open math test items were administered to 2,029 Grade 5 students who were recommended by their teachers as candidates for gifted education programs. Fluency, the number of valid solutions, in each problem was scored by math teachers. Their responses were analyzed by BIGSTEPTS based on Rasch's 1-parameter item-response model. The item analyses revealed that the problems were good in reliability, validity, difficulty, and discrimination power even when creativity was scored with the single criteria of fluency. This also confirmed that the open problems which are less-defined, less-structured and non-entrenched were good in measuring math creativity of the candidates for math gifted education programs. In addition, it discriminated applicants for two different gifted educational institutions and between male and female students as well.

• The Mathematical Education
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• v.46 no.2 s.117
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• pp.227-237
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• 2007

This research analyzes students' response types in the creativity assessment by using pattern block, geoboard, and pantomino. 74 students from third grade to sixth grade participated in this research. 15 minutes were given to pattern block and geoboard questions. 74 students showed 393 answers in pattern block question and 590 answers in geoboard question. In pantomino, 20 minutes were given and 54 students showed 443 types of answers. The results are as follows: First, in the students' responses, tendency of using particular piece or figure, which presents conjoining in a piece selection and positioning, showed strongly. For example, usage of hexagon and trapezoid pieces were higer in pattern block and usage of L, P, and I pieces were higer in pentomino. Second, it is confirmed that creativity's subordinate factors, fluency, flexibility, and originality, are separate from each other. To illustrate, in pattern block, three students', who showed 11 types of responses in fluency, flexibility responses were each 5, 6, and 8 types. Specially, among those studenys, only one could achieve a point in originality. Third, students' response types categorized in this research could be used for a bae-data to mark grades on originality.

• Research in Mathematical Education
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• v.13 no.1
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• pp.1-4
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• 2009

We are considering the discovery and the promotion of the talent from the viewpoint of education of talented children. The education that develops the talent is from "Individual needs for all children." Computer Algebra System (CAS) can be used as a new possibility in the education that develops the talent. We will need to take advantage of the research results from cognitive science. In order to fully utilize CASs in education, teaching methods that are based on cognitive science will be needed, and these are clearly different from those used in paper and pencil teaching.

• East Asian mathematical journal
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• v.35 no.4
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• pp.387-406
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• 2019

The Korea Foundation for the Advancement of Science and Creativity(KOFAC) developed AlgeoMath, a dynamic geometry software, with support from the Ministry of Education and 17 municipal and provincial education offices. Starting Nov. 7, 2018, AlgeoMath can be used for free by anyone. This study summarizes various discussions on the future direction of math education. The four aspects of the curriculum, textbook, teaching and learning, and assessment were explored on how AlgeoMath could contribute in realizing the future direction of math education. We confirmed that AlgeoMath can faithfully fulfill its role as a tool for changing math education, and we looked at what should be emphasized more and what should be complemented.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.3
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• pp.503-522
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• 2013

In the 2009 new curriculum reform, where creativity is the key point, assessment methods for mathematical creativity is recommended. However, lessons for creativity are not carried out well in mathematics classes. One of the reasons for this is the lack of assessment methods for student's creativity and specific instructions on how teachers should evaluate their students using a written test. Therefore, in this paper, we propose a simple way to evaluate student's creativity by differentiating the student's solutions of the posed problems. For validation of the proposed method, we identified the properties of excellent problem solutions cited by both the students group and teachers group. A chi-square test was then carried out to compare any differences in frequency that each of the groups chose as an excellent solution as a result of the student's problem solving

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.723-744
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• 2010

The aim of this study was to find the effects of open-ended problems on mathematical creativity and brain function. In this study, one class of first grade students were allocated randomly into two groups. Each group solved different problems. The experimental group solved the open-ended problems and the comparison group solved the closed-problems. Mathematical creativity was tested by the paper test. And Brain function was tested by an EEG(electroencephalogram) tester. The results of this study are as follows. Firstly, this study analyzed how the open-ended problems are effective on mathematical creativity. This analysis showed that it had a meaningful influence on the mathematical creativity(p=0.46). Accordingly, we could find out that open-ended problems make the student connect the mathematical concept and idea and think variously. Secondly, this study analyzed the effect of open-ended problems on brain function. This analysis showed that it did not have a meaningful influence on the brain function(p=.073) statistically but the experimental group's evaluation was higher than comparison groups' at the post-test. It also had a meaningful influence on the brain attention quotient(left) (p=.007), attention quotient(right) (p=.023) and emotion tendency quotient(p=.025). As a result of such tests, we could find out that open-ended problems are effective on brain function, especially on the attention ability. With the use of the open-ended problems, students could show quick understanding and response. An emotion tendency is also developed in the process. Because various answers are accepted, the students gain an internal reward at the process of finding an answer. Putting the above results together, we could find that open-ended problem is effective on mathematical creativity and brain function.

• Research in Mathematical Education
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• v.13 no.4
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• pp.309-330
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• 2009

The article aims to present findings of a study which has examined the ability of elementary school mathematics teachers and of teacher-trainees in other disciplines to solve irregular challenging problems of sequences in general rather than numerical sequences only. The findings show that mathematics teachers succeed to cope with unusual assignments when the requirements of the problems presented to them are analogous to irregular problems. However, when the problems require a change in the thinking procedure in the direction of creative thinking, there is a considerable decrease in performance. Another finding shows that, although teacher-trainees succeed less in solving the presented problems, they give incorrect solutions which do indicate creative thinking. An inevitable conclusion based on the research findings is that teacher training institutions should enhance and reinforce multi-directional. branching out and creative thinking competences.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2010.04a
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• pp.77-82
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• 2010

This study assumes alternative character of the operation of gifted class in middle school. The case that operated the voluntary mathematics club for one year was analyzed and the educational effect was considered. First, the examination instrument for choosing the members of mathematics club was developed and used. Second, diverse teaching and learning materials for improving creativity and mathematical ability of the members were used. Third, the difference of learning result between the experiment group and control one who joined the activities of mathematics club was analyzed.

• Research in Mathematical Education
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• v.12 no.4
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• pp.251-258
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• 2008

This paper deals with factors discriminating mathematically gifted and non-gifted students. Discussion of some characteristics of mathematically gifted students is done in the first session. Several factors distinguish mathematically gifted from the non-gifted students. High mathematical creativity, high intelligence and opinion of teachers are some of the key factors that can be used for discriminating mathematically gifted and non-gifted students. Research studies have revealed that cognitive as well as affective factors will enhance giftedness. In this study the investigator wishes to look in detail about the characteristics of mathematically gifted students and how they can be identified. Anyway, teachers can change environmental factors and maximum outcome of giftedness can be ensured."