• Communications of Mathematical Education
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• v.36 no.3
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• pp.355-372
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• 2022

The purpose of this study was to find out whether the Grit test is valid as a test tool for Identification of mathematically gifted elementary students. For this study, we conducted Grit tests, Mathematical Problem Solving Aability Tests, Mathematical Creative Ability Tests, and Mathematically Gifted Behavior Characteristic Tests on 39 ordinary students at Seoul public elementary school and 20 mathematically gifted students at the Education Center for Gifted Education, and analyzed correlation with each test. In addition, we conducted a discriminant analysis to find out how the Grit test can accurately determine the members of the mathematically gifted student group and the ordinary student group. As a result of Pearson's correlation analysis, the Grit test was .521 with the Mathematical Problem Solving Ability Tests, .440 with the Mathematical Creative Ability Tests, and .601 with the Mathematically Gifted Behavior Characteristic Tests, according to significant positive correlation at p<.01. Through this, it can be confirmed that the Grit test has a high official validity as a tool for determining mathematically gifted students. As a result of conducting a discriminant analysis to confirm the classification discrimination ability of the elementary mathematically gifted student group and ordinary student group of the Grit test, Wilk's λ was .799(p<.001). We confirm that the Grit test is a significant variable in determining the mathematically gifted student group and ordinary student group. In addition, 64.4% of the entire group was accurately classified as a result of group classification through discriminant analysis. This shows that the Grit test can be actually used as a test tool to determine mathematically gifted elementary students.

• Journal of Gifted/Talented Education
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• v.11 no.2
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• pp.87-106
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• 2001

Identification and selection the mathematically gifted child must be based on it's definition. So, we have to consider not only IQ or high ability in mathematical problem solving, but also mathematical creativity and mathematical task commitment. Furthermore, we must relate our ideas with the programs to develop each student's hidden potential. This study is focused on the discrimination of the candidates who would like to enter the elementary school level mathematics gifted education program. To fulfill this purpose, I considered the criteria, principles, methods, and tools. Identification is not exactly separate from selection and education. So, it is important to have long-term vision and plan to identify the mathematically gifted students.

• Proceedings of the Korean Society for the Gifted Conference
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• 2001.05a
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• pp.43-72
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• 2001

Identification and discrimination the mathematical giftedness must be based on it's definition and factors. So, there must be considered not only IQ or high ability in mathematical problem solving, but also mathematical creativity and mathematical task commitment. Furthermore, we must relate our ideas with the programs to develop each student's hidden potential not to settle only. This study is focused on the discrimination of the recipients who would like to enter the elementary school level mathematical gifted education program. To fulfill this purpose, I considered the criteria, principles, methods, tools and their application. In this study, I considered three kinds of testing tools. The first was KEDI - WISC personal IQ test, the second is mathematical problem solving ability written test(1st type), and the third was mathematical creativity test(2nd type) which were giving out divergent products. The number of the participant of these tests were 95(5-6 grade). According to the test, students who had ever a prize in the level of national mathematical contest got more statistically significant higher scores on 1st and 2nd type than who had ever not, but they were not prominent on the phases of attitude, creative ability or interest and willing to study from the information of the behavior characteristics test. Using creativity test together with the behavior characteristics test will be more effective and lessen the possibility of exclusion the superior.

• Research in Mathematical Education
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• v.13 no.1
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• pp.63-73
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• 2009

This paper reports on student, parent, and teacher perspectives of the characteristics of the mathematically gifted. The data are extracted from a two-year qualitative study that examined multiple perspectives, school policy documents and program provision for 15 mathematically gifted and talented students aged from 10 to 13 years. The findings have implications for identification and program provision.

• 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.

• School Mathematics
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• v.1 no.1
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• pp.51-93
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• 1999

This survey is to know the present situation and effective alternatives of mathematics gifted education program for the 5-8 grade students in Korea. This is aiming at finding effective ideas useful to the definition of the gifted, the development of the methods and tools for identification, the proper organization of program and urgent issues. The number of collected questionnaire available by mailing is 92; 21 specialists, 24 experienced teachers and 47 scholars who are concerned with the education for the gifted. Not translated original Korean-Questionnaire is in the appendix.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.3
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• pp.309-330
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• 2018

The purpose of this study is to identify possibility of a mathematical problem posing ability by presenting problem posing tasks with different degrees of structure according to the study of Stoyanova and Ellerton(1996). Also, the results of this study suggest the direction of gifted elementary mathematics education to increase mathematical creativity. The research results showed that mathematical problem posing ability is likely to be a factor in identification of gifted students, and suggested directions for problem posing activities in education for mathematically gifted by investigating the characteristics of original problems. Although there are many criteria that distinguish between gifted and ordinary students, it is most desirable to utilize the measurement of fluency through the well-structured problem posing tasks in terms of efficiency, which is consistent with the findings of Jo Seokhee et al. (2007). It is possible to obtain fairly good reliability and validity in the measurement of fluency. On the other hand, the fact that the problem with depth of solving steps of 3 or more is likely to be a unique problem suggests that students should be encouraged to create multi-steps problems when teaching creative problem posing activities for the gifted. This implies that using multi-steps problems is an alternative method to identify gifted elementary students.

• Journal of Gifted/Talented Education
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• v.8 no.2
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• pp.69-89
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• 1998

The purpose of this study is to develop a test which can be used in identification of the gifted students in the area of mathematics. This study was carried out for two years from 1996. Mathematical giftedness is, in this study, regarded as a result of interaction of mathematical thinking ability, mathematical creativity, mathematical task committment, background knowledge. This study presumed that mathematical thinking ability is composed of seven thinking abilities: intuitive insights, ability for information organization, ability for visualization, ability for mathematical abstraction, inferential thinking ability(both inductive and deductive thinking abilities), generalization and application ability, and reflective thinking. This study also presupposed that mathematical creativity is composed of 3 characteristics: fluency, flexibility, originality. The test for mathematical creative problem solving ability was developed for primary, middle, and high school students. The test is composed of two parts: the first part is concentrated more on divergent thinking, while the second part is more on convergent thinking. The major targets of the test were the students whose achievement level in mathematics belong to top 15~20% in each school. The goodness of the test was examined in the aspects of reliability, validity, difficulty, and discrimination power. Cronbach $\alpha$ was in the range of .60~.75, suggesting that the test is fairly reliable. The validity of the test was examined through the correlation among the test results for mathematical creative problem solving ability, I. Q., and academic achievement scores in mathematics and through the correlation between the scores in the first part and the scores in the second part of the test for mathematical creative problem solving ability. The test was found to be very difficult for the subjects. However, the discrimination power of the test was at the acceptable level.

• Communications of Mathematical Education
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• v.26 no.3
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• pp.251-271
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• 2012

The purpose of this study is: 1) to determine error sources and the effects of each error source, 2) to investigate optimal measuring conditions from holistic and analytic scoring methods, and 3) to compare the value of reliability between Cronbach's alpha and the generalizability coefficient in self-introduction letter and teacher's recommendation letter based on the generalizability theory in identification of mathematical gifted students by observations and nominations. Data of this study were collected from the science education institute for the gifted attached to the university located within in a capital city for the 2011 academic year. Scores form two raters using holistic and analytic scoring methods in both assessment types were used. The results of this study were as follows. First, as to both assessment types, error sources for people were relatively large regardless of scoring methods. However, error sources for raters in holistic scoring methods had a more significant impact than those of analytic scoring methods. Second, to set optimal measuring conditions in the self-introduction letter and teacher's recommendation letter, if we fixed the number of raters into 2 based on holistic scoring methods, at least 5 and 10 content domains were needed, respectively. In addition, the number of items in teacher's recommendation letter should be more than 3 when we fixed the number of content domains into 4, and the number of items in self-introduction letter should be more than 8 when we fixed the number of content domains into 6 using analytic scoring methods. Third, Cronbach's alpha having only a single source of errors was higher than the generalizability coefficient regardless of assessment types and scoring methods. Hence we recommend that generalizability coefficient based on various error sources such as raters, content domains, and items should be considered to keep a satisfactory level of reliability in both assessment types.