• Communications of Mathematical Education
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• v.25 no.1
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• pp.185-205
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• 2011

In this paper, we investigated the mathematical output of a gifted student's independent study. We chose one student who was taking a mentorship course in mathematics at the Gifted Education Center in Chonnam National University, and analyzed the characters of the result which a student showed through the output of independent study and studied the psychological change of a student while he was making a presentation of the results of his study. We found following facts. First, a mentor-independent study improves a mathematical gifted student's inductive thinking and ability to generalize and apply to other cases. Second, presenting a mathematical gifted student's output for mentor-independent study improves his ability of mathematical communication in the abilities of creative problem solving. Finally, there is an increased change in his perception and self-efficacy of mathematics after the presentation.

• Journal of Gifted/Talented Education
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• v.17 no.2
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• pp.307-337
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• 2007

The purpose of this study is to verify the validity of a creativity measurement tool and to discover the creativity characteristics of creative gifted students by assessing the difference in the creativity characteristics of creative gifted students, who were selected from gifted students in elementary and middle schools through the Torrance Test of Creative Thinking(TTCT), according to school level and the type of the students (gifted student in mathematics, gifted student in science). To this research purpose, creative gifted students were selected by the Torrance Test of Creative Thinking(TTCT) on 594 students, who had applied for super gifted education, from 17 gifted students institutes under the jurisdiction of Jeollabukdo office of education, Then, t-tests and multiple regression analysis were performed to analyze the creativity factors between elementary students and middle school students and between mathematics-gifted students and science-gifted students. From the research, the following results were obtained. Although TTCT is effective in distinguishing gifted students with and without creativity, correlation coefficient values between creativity factors(the correlation coefficients between 'fluency' and 'originality' and between 'fluency' and 'elaboration' were .78 and .50 respectively) suggested the possibility of low uniqueness of creativity factors. In addition, compared with elementary students, middle school students showed significantly lower fluency (circles), elaboration(picture construction, picture completion), and the abstractness of titles(picture structure). In the meantime, science-gifted students displayed significantly higher originality(picture construction), and elaboration(picture construction, picture completion, circles) than mathematics-gifted students. Therefore, continuous study is required to enhance the validity of the test for the selection of creativity gifted students. Besides, efforts should be made to find ways to enhance the creativity of gifted students and to resolve the problem of decreasing creativity with student academic level increasing.

• Communications of Mathematical Education
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• v.31 no.3
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• pp.257-277
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• 2017

The purpose of this research is divide into two kinds. First, develop the mathematical modeling program for mathematically gifted students focused on Voronoi diagram and Delaunay triangulation, and then gifted teachers can use it in the class. Voronoi diagram and Delaunay triangulation are Spatial partition theory use in engineering and geography field and improve gifted student's mathematical connections, problem solving competency and reasoning ability. Second, after applying the developed program to the class, I analyze gifted student's core competency. Applying the mathematical modeling program, the following findings were given. First, Voronoi diagram and Delaunay triangulation are received attention recently and suitable subject for mathematics gifted education. Second,, in third enrichment course(Student's Centered Mathematical Modeling Activity), gifted students conduct the problem presentation, division of roles, select and collect the information, draw conclusions by discussion. In process of achievement, high level mathematical competency and intellectual capacity are needed so synthetic thinking ability, problem solving, creativity and self-directed learning ability are appeared to gifted students. Third, in third enrichment course(Student's Centered Mathematical Modeling Activity), problem solving, mathematical connections, information processing competency are appeared.

• Research in Mathematical Education
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• v.9 no.4 s.24
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• pp.329-333
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• 2005

Based on author's practice of instructing Chinese gifted students to join the Chinese Mathematics Olympic (CMO), the paper adopted test analysis model of the Scholastic Aptitude Test of Mathematics (SAT-M), tested mathematics ability of 212 mathematical gifted students to join the CMO, applied correlation analysis and factor analysis and proposed the mathematics ability structure in Chinese gifted students including comprehensive operation ability, logic thinking ability, abstract generalization ability, spatial imagination ability, memory ability, transfer ability and intuition thinking ability. And it analyzed the expression form of these abilities respectively and gave some suggestion on mathematics teaching about gifted Chinese students.

• The Journal of the Korea Contents Association
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• v.14 no.5
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• pp.512-523
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• 2014

The purpose of this study is to provide useful information for improving interaction between teacher and student by analysing gifted class in mathematics with the Flanders Category System. Research questions are as follow. In gifted class in mathematics, How is the result of analysis regarding interactions between the teacher and students, according to 1) Flanders' Coding system? 2) Flanders' language pattern? 3) Flanders' Index system? For this, 3 gifted classes in mathematics were recorded by video camera and analyzed by Advanced Flanders(AF) analysis program version 3.54. Results are as follow. 1) Code Category Analysis mostly consists of lecture, voluntary speaking and chaos, silence work. 2) Most class patterns are not in accordance with effective class pattern models. So teacher needs to accept student's opinion actively and give appropriate feedback. 3) In Indices Results, revised I/d ratio, teacher's question ratio, student's speaking ratio, Student question and wide answer ratio are higher than analysis standard, indirect ratio is lower than analysis standard.

• Research in Mathematical Education
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• v.8 no.3
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• pp.203-213
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• 2004

We developed an enrichment program material for the mathematically gifted students in the first grade. The contents were selected and organized based on creative competency improving, increasing of interest, inquiry various activity, interdisciplinary approaches, and the enrichment contents from modern mathematics.

• Research in Mathematical Education
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• v.8 no.3
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• pp.215-226
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• 2004

The purpose of this paper is to introduce an activity of student who found purely linear algebraic solution of the Blackout puzzle. It shows how we can help and work with gifted students. It deals with algorithm, mathematical modeling, optimal solution and software.

• Education of Primary School Mathematics
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• v.18 no.2
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• pp.77-89
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• 2015

In this study, an 'Independent Study Checklist' for gifted mathematics students was developed and applied. The characteristics shown in the results after the 'Independent Study Checklist' was applied to mathematics gifted students were analysed. The checklist was divided into six phases of the independent study process and included checking contents at each stage. Observations, student interviews and results of the process of 'Independent Study' were collected and analysed to understand the characteristics of students' outcomes. The results from the application of the 'Independent Study Checklist' suggest the followings. First, the 'Independent Study Checklist' took the role of a self-check list to identify the process of the 'Independent Study'. Second, the check points of the 'Independent Study Checklist' presented the view of discussion to gifted students. Third, the 'Independent Study Checklist' was used as teaching material for teachers of gifted students. Fourth, 'Independent Study Checklist' was optionally used according student's study topics and method. Fifth, the checklist at each phase was continuously used during the whole process of 'Independent Study'. The teachers' interest and encouragement took the role of facilitating students' study process.

• The Mathematical Education
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• v.46 no.4
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• pp.357-369
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• 2007

Teachers and students' knowledge of zero was investigated through data collected from 16 preservice secondary mathematics teachers and 20 gifted secondary school students. Results showed that these teachers and students had an inadequate knowledge about zero. They exhibited a reluctance to accept zero as an attribute for classification, confusion as to whether or not zero is a number, and stable patterns of computational error. Although leachers and researchers have long recognized the value of analyzing student errors for diagnosis and remediation, students have not been encouraged to take advantage of errors as learning opportunities in mathematics instruction. The article suggests using errors as springboards for inquiry in action, discusses its potential contributions to mathematics instruction by analyzing students and preservice teachers errors related to zero.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.2
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• pp.437-461
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• 2011

The purpose of this study was to examine the metacognition of mathematically gifted students in the problem-solving process of the given task in a bid to give some significant suggestions on the improvement of their problem-solving skills. The given task was to count the number of regular squares at the n${\times}$n geoboard. The subjects in this study were three mathematically gifted elementary students who were respectively selected from three leading gifted education institutions in our country: a community gifted class, a gifted education institution attached to the Office of Education and a university-affiliated science gifted education institution. The students who were selected from the first, second and third institutions were hereinafter called student C, student B and student A respectively. While they received three-hour instruction, a participant observation was made by this researcher, and the instruction was videotaped. The participant observation record, videotape and their worksheets were analyzed, and they were interviewed after the instruction to make a qualitative case study. The findings of the study were as follows: First, the students made use of different generalization strategies when they solved the given problem. Second, there were specific metacognitive elements in each stage of their problem-solving process. Third, there was a mutually influential interaction among every area of metacognition in the problem-solving process. Fourth, which metacognitive components impacted on their success or failure of problem solving was ascertained.