By learning math, constructing math problems helps us to improve analytical thinking ability and have a positive attitude and competency towards math leaning. Especially, gifted students should create math problems under certain circumstances beyond the level of solving given math problems. In this study, I examined the math problems made by the gifted students after the process of raising questions and discussing them for themselves by doing origami. I intended to get suggestions by analyzing of problem posing strategy and method facilitating the thinking of mathematics gifted students in an origami program.
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 purpose of this study is to determine the relationship between metacognition and math creative problem solving ability. Specific research questions set up according to the purpose of this study are as follows. First, what relation does metacognition has with creative math problem-solving ability of mathematically gifted elementary students? Second, how does each component of metacognition (i.e. metacognitive knowledge, metacognitive regulation, metacognitive experiences) influences the math creative problem solving ability of mathematically gifted elementary students? The present study was conducted with a total of 80 fifth grade mathematically gifted elementary students. For assessment tools, the study used the Math Creative Problem Solving Ability Test and the Metacognition Test. Analyses of collected data involved descriptive statistics, computation of Pearson's product moment correlation coefficient, and multiple regression analysis by using the SPSS Statistics 20. The findings from the study were as follows. First, a great deal of variability between individuals was found in math creative problem solving ability and metacognition even within the group of mathematically gifted elementary students. Second, significant correlation was found between math creative problem solving ability and metacognition. Third, according to multiple regression analysis of math creative problem solving ability by component of metacognition, it was found that metacognitive knowledge is the metacognitive component that relatively has the greatest effect on overall math creative problem-solving ability. Fourth, results indicated that metacognitive knowledge has the greatest effect on fluency and originality among subelements of math creative problem solving ability, while metacognitive regulation has the greatest effect on flexibility. It was found that metacognitive experiences relatively has little effect on math creative problem solving ability. This findings suggests the possibility of metacognitive approach in math gifted curricula and programs for cultivating mathematically gifted students' math creative problem-solving ability.
The purpose of this study was to develop a math test for identification of the mathematically gifted on the basis of their math creative problem solving ability and to evaluate the goodness of the test. Especially, testing reliability and validity of scoring method on the basis of fluency only for evaluation of math creative problem solving ability was one of the main purposes. Ten closed math problems and 5 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 closed math test items of Type I and the 5 open math test items of Type II were administered to 1,032 Grade 7 students who were recommended by their teachers as candidates for gifted education programs. Students' responses were scored by math teachers. Their responses were analyzed by BIGSTEPS and 1 parameter model of item analyses technique. The item analyses revealed that the problems were good in reliability, validity, item difficulty and item discriminating power even when creativity was scored based on 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 creative problem solving ability of the candidates for math gifted education programs. In addition, it was found that the math creative problem solving tests discriminated applicants for the two different gifted educational institutions.
The purposes of the study are to recognize importance of motivation in math education and to increase interest in students' motivation problem by comparing math motivation between mathematically gifted and non-gifted 5th graders based on Keller's ARCS theory and analyzing correlations between math motivation, mathematically affective characteristics and mathematical achievements. For this purpose, 436 students who were mathematically gifted and non-gifted 5th grade students were asked to take questionnaires and test to measure math motivation, mathematically affective characteristics and mathematical achievements. After analyzing the data, there are statistically differences in three educational factors between two groups. In addition, there are correlations between three educational factors. This study revealed that highly motivated students showed positive mathematically affective characteristics and high mathematical achievements. As results indicate that motivation could be a crucial factor in learning, teachers should consider motivation strategy to plan students' lessons regarding to learners' giftedness.
Journal of Elementary Mathematics Education in Korea
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v.14
no.1
/
pp.81-102
/
2010
The purpose of this study was to analyze the content and design of the seven math camp programs for students of the education centers for the elementary gifted students. The analysis focused on the goals, content, and evaluations utilized in the math camp programs. The results of the study were as follows. First, there was no big difference between the goals set for each camp, and they mainly focused on the goals in affective domain. Second, the content of math camp programs was focused on enrichment rather than acceleration. Most of the programs were focused on geometry, whereas fewer programs were focused on measurement, probability and statistics. Based on the Analysis, we found that only nine out of 27 programs applied level-wised or individual exercise programs. Third, all centers for the mathematically gifted carried out evaluations of their math camp programs. However, a specific evaluation plan was not established for the math camp program plans. We suggested the direction of math camp programs as follows. First, the goals should reflect on the intended outcomes of the math camp programs. Also, the goals of math camp programs need to be distinctive from general education goals. Second, the programs should contain harmonious contents with enrichment and acceleration and must include various reactions and task commitment. The math camp programs need to include references and an appropriate information for the gifted students to encourage self-directed learning. Third, a more specific evaluation plan for math camp programs needs to be developed for effective education for the gifted students.
Journal of The Korean Association of Information Education
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v.17
no.1
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pp.63-71
/
2013
The purpose of this study was to investigate patterns of IT usage in gifted elementary students. There were 67 Computer Science gifted students and 38 Math/Science gifted students, a total of 105 students, who attended a Convergence Computer Science Camp for 3 days. They were given 20 questions on IT usage. The results showed that these gifted students started to use the computer from ages 7 to 9 (51.9%) and consider their level of usage as average (50.0%). They also expressed a desire to learn more to enhance learning. There were some differences between the Computer Science gifted students and Math/Science gifted students. The Computer Science gifted students spent more time at the computer, considered themselves as more capable in using the computer, and thought that the computer aided in learning more, Another difference is that Computer Science gifted students utilized the computer more for education and learning purposes(56.9%), whereas Math/Science gifted students used it for recreation purposes (40.5%). Furthermore, regarding areas of further interest, most Computer Science gifted students wanted to learn more about computer programming whereas Math/Science gifted students were more interested in learning presentation methods (26.3%). In conclusion, there was a difference between Computer Science gifted students and Math/Science gifted students in self-confidence, areas of utilization and computer related areas.
The focus of gifted education program for math should not only be on how to select gifted students but also on how to magnify students' potential ability. This thesis supports Vygotsky's view, which provides an insight into gifted education field as an 'acquired giftedness' theory. The issues in this thesis suggest proper classroom models for current gifted education program together with moderate classroom atmosphere and optimum role of teachers.
Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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2009.05a
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pp.517-520
/
2009
This dissertation was aimed at finding an implication of selecting and educating the gifted of information science discovering features of gifted learner in the field of math and science and the gifted of information science through comparative analysis of observing evaluation for the gifted of information science. Subjects of the study are foundation course learners of University Science Education Institute for the Gifted in the field of physics, earth science, math, information science. We have compared the features of learners of each field through one-way ANOVA about an observing evaluation for one year. In consequence, information science learners showed mostly different features from physics and earth science learners in details of an attitude area and a problem solving area. On this, the researcher concluded that there must be features of the gifted on information science and their difference from gifted learners in math and science was caused by learner levels and features of each field. Based on the result of this study, we expect that we can imply it to selecting and educating the gifted of information science.
'I'his study investigated students' attitude toward mathematics. and how behavior/cognitive training affects level of math anxietv and level of math achievement. Subjects were all the freshmen attending Taejon Science High School, and they were given Mathematics Attitudes Scale and Attributional Style Questionnaire prior to and post training sessions. Twenty out of 84 freshmen voluntarily participated in nine sessions of training program. Participants were asked to do self-evaluation. Math achievement was measured prior to and post training. and was compared between two groups. Training program utilized behavior/cognitive approach. such as understanding one's feeling through muscle relaxation, breathing and meditation; modifying negative attributional style; imitating effective cognitive strategies for math problem solving, and so on. 'I'he result shows that students' math confidence in general was relatively low out of expectation, a nd they perceived teachers not supporting their math abilities :IS much as expected. On the other hand, students in general had strong math achievelment needs, and considered math utility very high. Sex difference was seen in the attitude toward female math abilities, to result that female students had more positive perception than male students. Female students of 'I'aejon Science High School seem free from conventional idea about female abilities including theirs. Participants' ~attitude change was compared with non-participants. and participants showed statistically significant change in their math confidence, and also in their math achievement. Participants had much higher math confidence and ~achievement than non-participants. And, they showed increased level of perceiving teachers' expectation. more realistic in needs, and more involvement in math. Math achievement was found positively related to math confidence, and participants' math achievement change was explained by their belief in math utility. Not only training program effect hut also participants' voluntary involvement and teacher\ulcorner' support of the program and participation seem to increase their math achievement. Based upon the result of study it was suggested that behavior-/cognitive training program be provided along with academic curricula for gifted students of Korea to help their emotional and psychological development enhance the efficacy of their cognitive learning.
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