• Communications of Mathematical Education
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• v.20 no.1 s.25
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• pp.1-8
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• 2006

In this article, the importance of creative product fur the gifted and talented is discussed. It is shown that Mathematics competition contest should replaced by creative product to enhance the creativity of the gifted and talented.

• Journal of Gifted/Talented Education
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• v.3_4 no.1
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• pp.37-77
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• 1994

In addition to exceptional abilities and domain-specific aptitudes, frequently creativity potentials are used to explain high achievements in science and technology. In the Guilford tradition, research focuses increasingly on convergent versus divergent thinking, that is, a suspected dichotomy between intelligence and creativity. Despite important insights from this about relationship of ability and creativity, a number of important questions remain unanswered. These relate not only to conceptualization and measurement problems regarding the hypothetical constructs "scientific ability" and "creativity", but also their diagnosis and nurturance in childhood and adolescence. It would appear that, in view of current research paradigms, the role of ability and creativity needs to be redefinded in order to more reliably predict and explain excellent achievements in science and technology. Advances are mostly expected from synthetic approaches. Thus, I will be presenting new theoretical models and empirical research results. Finally, consequences for the prediction and promotion of mathematical-scientific and technical talents will be discussed including the consideration of sex-related problems.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.3
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• pp.267-282
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• 2018

The purpose of this study is to develop and apply a Convergence program for teaching of congruence and symmetry and to investigate the effects of the mathematical creativity and convergence talent. For these purposes, research questions were set up as follows: 1. How is a Convergence program for teaching of congruence and symmetry developed? 2. How does a Convergence program affect the mathematics creativity and convergence talent of fifth grade student in elementary school? The subjects in this study were 16 students in fifth-grade class in elementary school located in Songpa-gu, Seoul. A Convergence program was developed using the integrated unit design process chose the concept of congruence and symmetryas its topic. The developed program consisted of a total 12 class activities plan, lesson plans for 5 activities. Mathematics creativity test, a test on affective domain related with convergence talent measurement were carried out before and after the application of the developed program so as to analyze the its effects. In addition, students' satisfaction for the developed program was investigated by a questionnaire. The results of this study were as follows: First, A convergence program should be developed using the integrated unit design process to avoid focusing on the content of any one subject area. The program for teaching of congruence and symmetry should be considered students' learning style and their preferences for media. Second, the convergence program improved the students' mathematical creativity and convergence talent. Among the sub-factors of mathematical creativity, originality was especially improved by this program. Students thought that the program is good for their creativity. Plus, this program use two subject class, Math and Art, so student do not think about one subject but focus on topic 'congruence and symmetry'. It help students to develop their convergence talent.

• Communications of Mathematical Education
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• v.30 no.3
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• pp.375-392
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• 2016

The purpose of this study is to provide a philosophical reflection on mathematical process consistently emphasized in our curriculum and to stress the importance of sharing creativity and its applicability to the mathematical process with the value of sharing and participation. For this purpose, we describe five stages of changing process in a peer mentoring teaching method conducted by a teacher who taught this method for 17 years with the goal of sharing creativity and examine components of mathematical process and their impact on it in each stage based on learning environment, learning process, and assessment. Results suggest that six principles should be underlined and considered for students to be actively involved in mathematical process. After analyzing changes in the five stages of the peer mentoring teaching method, the five principles scrutinized in mathematical process are the principles of continuous interactivity, contextual dependence, bidirectional development, teacher capability, and student participation. On the basis of these five principles, the principle of cooperative creativity is extracted from effective changes of mathematical process as a guiding force.

• Research in Mathematical Education
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• v.19 no.3
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• pp.177-193
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• 2015

Mathematical creativity, an important goal in mathematics education, can be promoted through an integrated learning environment where students explore mathematics with other subject areas such as science, technology, engineering and art. Establishing such learning environments is not a trivial task. Therefore, this creates a need for the development of instructional resources promoting meaningful integration. This paper focuses on integration of the fields of mathematics and music. Beginning with some of the historical discoveries and views of the connections between mathematics and music, this paper attends to several musical concepts correlating to middle school mathematical content and then provides ideas for teaching.

• Research in Mathematical Education
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• v.9 no.3 s.23
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• pp.187-201
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• 2005

The spreadsheet Microsoft Excel is the most widely used mathematical tool in today's workplace. Moreover, it is also an outstanding means for developing a surprisingly wide range of creative and innovative educational uses within such areas as mathematical modeling, visualization, and instruction. The spreadsheet's format provides us with a tool that closely parallels the way in which we naturally carry out problem solving, while the spreadsheet creation process itself illuminates the underlying mathematical concepts. In addition, the spreadsheet's visual layout allows us to introduce a broad variety of challenging and interesting topics, and to design creative demonstrations through eye-catching animated graphics. The material presented comes from actual classroom mathematics teaching experience in both industrially advanced and developing nations. A series of highly visual interactive illustrations from mathematics, the natural and social sciences, computing, engineering, and the arts provide a number of usable examples. The material discussed is applicable at diverse levels, ranging from schools and universities through adult education and in-service teacher development programs.

• Journal of Science Education
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• v.41 no.3
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• pp.499-518
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• 2017

In this study, the meta-analysis technique was applied to investigate the effectiveness of gifted-mathematics programs on development of creativity. Studies conducted the outcomes form the 20 studies were used for meta-analysis. Research questions are as follows; first, what is the overall effect size of the gifted mathematics programs on development of mathematical creativity. Second, what are effect sizes of sub-group(fluency, flexibility, originality) analysis. Third, compare the effect sizes of those in compliance with the grade and the class type. Results from data analysis are as follows. First, the overall effect size for studies related the gifted-mathematical programs was .66, which is high. Second, it was found that each sub-group differed from its effect on learning outcomes. Fluency(.76) was the highest of all, which was followed by flexibility(.60) and originality(.50) in a row. Lastly, the overall effect size for gifted elementary school students related the gifted-mathematical programs was .69, which is high than gifted middle school students was .46.

• Journal of Gifted/Talented Education
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• v.24 no.6
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• pp.897-916
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• 2014

In this study, we presented a teaching-learning method that can apply process-focused assessment for mathematical creativity of problem solving process of the gifted student, By necessity of appropriate teaching-learning program development to the level and ability of students who belong to high school gifted classes and courses evaluation for students who participated in education programs for the gifted. In the construction implementation process of students utilizing a kind of teaching-learning software, GeoGebra. We analyzed process of a variety of creative constructing figures using interfaces of GeoGebra and algebraic calculation. Utilizing 'Construction Protocol' and 'Navigation Bar' of GeoGebra, We identified computer languages, construction order, run times used in construction process of individual student and found mathematical creativity of students in the process. Comparing this result with prerequisite learning degree of individual student, We verified that this teaching-learning method can apply at the high school gifted classes as well as institutes for the gifted education in the city office.

• Communications of Mathematical Education
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• v.35 no.1
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• pp.119-136
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• 2021

We performed the research and education programs using engineering tools such as Mathematica, Microsoft Excel and GeoGebra for the students in mathematics mentorship program of the institute of science education for the gifted. We used the engineering tools to solve the problems and found the rules by observing the solutions. Then we generalized the rules to theorems by proving the rules. Mathematica, the professional mathematical computation program, was used to calculate and find the length of the repeating portion of the repeating decimal. Microsoft Excel, the spreadsheet software, was used to investigate the Beatty sequences. Also GeoGebra, the dynamic geometric software, was used to investigate the Voronoi diagram and develop the Voronoi game. Using GeoGebra, we designed the Voronoi game plate for the game. In this program, using engineering tools improved the mathematical creativity and the logical thinking of the gifted students in mathematics mentorship program.

• Research in Mathematical Education
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• v.15 no.2
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• pp.141-158
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• 2011

In recent years, an increasing number of viewpoints hold that students should be engaged in a learning environment where understanding and knowledge transfer take place. This study introduces Mathematics Created by You (MCY)-mentoring program, which allows students to construct artefacts that are required to learn. This program is online-based and so can be shared by several people and mathematics leaning takes place through interactions within this carefully designed environment. Also, MCY intends to provide students a series of sequential activities related to creative play, creative learning and creative inquiry based on a Constructive and interactive environment. Furthermore, a creative activity- constructing a creative product using building blocks- was presented as an example. Finally, we investigate the pedagogical implications and suggest directions for the further development.