• The Mathematical Education
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• v.58 no.4
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• pp.519-530
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• 2019

According to previous studies, meta-affect based on the interaction between cognitive and affective elements in mathematics learning activities maintains a close mechanical relationship with the learner's mathematical ability in a similar way to meta-cognition. In this study, in order to grasp these characteristics phenomenologically, small group problem-solving cases of 5th grade elementary mathematically gifted children were analyzed from a meta-affective perspective. As a result, the two types of problem-solving cases of mathematically gifted children were relatively frequent in the types of meta-affect in which cognitive element related to the cognitive characteristics of mathematically gifted children appeared first. Meta-affects were actively acted as the meta-function of evaluation and attitude types. In the case of successful problem-solving, it was largely biased by the meta-function of evaluation type. In the case of unsuccessful problem-solving, it was largely biased by the meta-function of the monitoring type. It could be seen that the cognitive and affective characteristics of mathematically gifted children appear in problem solving activities through meta-affective activities. In particular, it was found that the affective competence of the problem solver acted on problem-solving activities by meta-affect in the form of emotion or attitude. The meta-affecive characteristics of mathematically gifted children and their working principles will provide implications in terms of emotions and attitudes related to mathematics learning.

• Journal of Gifted/Talented Education
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• v.26 no.1
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• pp.141-159
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• 2016

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.

• Education of Primary School Mathematics
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• v.19 no.2
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• pp.161-175
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• 2016

The purpose of this study is to measure the differences in affective characteristics and mathematical reasoning ability between gifted students and non-gifted students. This study compares and analyzes on the relations between the affective characteristics and mathematical reasoning ability. The study subjects are comprised of 97 gifted fifth grade students and 144 non-gifted fifth grade students. The criterion is based on the questionnaire of the affective characteristics and mathematical reasoning ability. To analyze the data, t-test and multiple regression analysis were adopted. The conclusions of the study are synthetically summarized as follows. First, the mathematically gifted students show a positive response to subelement of the affective characteristics, self-conception, attitude, interest, study habits. As a result of analysis of correlation between the affective characteristic and mathematical reasoning ability, the study found a positive correlation between self-conception, attitude, interest, study habits but a negative correlation with mathematical anxieties. Therefore the more an affective characteristics are positive, the higher the mathematical reasoning ability are built. These results show the mathematically gifted students should be educated to be positive and self-confident. Second, the mathematically gifted students was influenced with mathematical anxieties to mathematical reasoning ability. Therefore we seek for solution to reduce mathematical anxieties to improve to the mathematical reasoning ability. Third, the non-gifted students that are influenced of interest of the affective characteristics will improve mathematical reasoning ability, if we make the methods to be interested math curriculum.

• School Mathematics
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• v.5 no.4
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• pp.441-457
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• 2003

The purpose of this paper is to compare affective characteristics of mathematically gifted children and average students, by analying self-tests of self-efficacy and attitudes about mathematics. we survey 109 children from Mathematically Gifted Education Institutes located in Busan, and students from 6 elementary schools, each two graded A, B, and C, where schools graded A and B refer to so-called schools with concurrent and general classes and C schools with, semi-special and special classes ones. Those schools are determined through the consideration of geographical, cultural, and environmental conditions of 48 elementary schools under Seobu Educational Office, Busan Metropolitan City. From each of the six schools, a 5th-grade class is selected. That is, 205 students from 6 classes are finally selected. Results of the study can be described as follows. First, mathematically gifted children score higher on whole attitudes about mathematics and interest, preference, and confidence in each subarea than children from schools whose location is classified as A, B, and C. Irrespective of genders, mathematically gifted children are scored higher in the whole attitudes about mathematics than children from schools classified as A, B, and C. Second, mathematically gifted children are higher in score for self-efficacy than children from schools graded A, B, and C. Regardless of gender, mathematically gifted children are scored higher in self-efficacy than other groups of children. But mathematically gifted children's score is not significantly higher than that of children form schools graded A.

• 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."

• Communications of Mathematical Education
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• v.22 no.2
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• pp.229-252
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• 2008

The purpose of this research was to make fair assessment methods which took into account characteristics of mathematically underachievers. The researchers devised an descriptive tests and interviews and applied them to the mathematics underachievers who could not reveal their achievements in the traditional assessment and then analyzed their cognitive and affective characteristics in the alternative assessments. After selecting three students by the normal assessment made of simple subjective and multiple choice questions, the cognitive and affective characteristics found in the general assessment were reflected to the descriptive tests and interviews. The descriptive tests and interviews are comprised of descriptive narrations and informal interview questions. After the assessment, the teacher and students gave feedbacks one another. All the assessment activities were recorded by a camcorder to analyze cognitive and affective characteristics of the children. Throughout the research, the following conclusions were made. The mathematics underachievers showed the characteristics which didn't appeared in the normal assessment. They showed normal abilities of problem solving and communication In the cognitive area. Also they brought in positive result in most parts in the affective area. However, the student B displayed considerable ability of mathematical thinking that is over the average level of mathematical underachievers. This implies that we can definite the mathematical underachievers differently when we use the detailed and relief assessment method instead of the traditional assessment. On the other hand, one student tended to depend on the teacher and another student overheard what the others talk during the study. This defect should be complemented by the further studies about assessment method for the mathematical underachievers. Also appropriate assessment methods should be made for applying to the various mathematical underachievers. Many studies have been concentrated on the learning for mathematical underachievers but there is little concern about the assessment for the mathematical underachievers. However it is the fundamental way to reduce the number of mathematics underachievers that we construct consistent learning methods and assessments for the mathematical underachievers.

• Korean Journal of Child Studies
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• v.30 no.5
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• pp.73-85
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• 2009

The purpose of this research was to compare mathematically gifted students with non-gifted students in perception of learning environments, learning ability beliefs, and preference for problem-solving and task. Thirty-seven mathematically gifted students and 75 general students in middle school completed questionnaires about perceptions about mathematics. Data were analyzed by ${\chi}^2$ test and t-test. Compared with general students, mathematically gifted students estimated their talents for mathematics higher, studied mathematics more, expended more time and effort to solving difficult problems, put learning mathematics itself as their primary purpose for studying mathematics and regarded inappropriate environments as the major obstacle to mathematics study. Mathematically gifted students perceived their parents' support higher, solved problem creatively, and had higher preference for challenging tasks.

• The Mathematical Education
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• v.51 no.4
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• pp.351-375
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• 2012

This research is a case study of the changes of students's problem solving ability and affective characteristics when we apply to general students MG-CPS model which is creative problem solving model for gifted students. MG-CPS model which was developed by Kim and Lee(2008) is a problem solving model with 7-steps. For this study, we selected 7 first grade students from girl's high school in Seoul. They consisted of three high level students, two middle level students, and two low level students and then we applied MG-CPS model to these 7 students for 5 weeks. From the study results, we found that most students's describing ability in problem understanding and problem solving process were improved. Also we observed that high level students had improvements in overall problem solving ability, middle level students in problem understanding ability and guideline planning ability, and that low level students had improvements in the problem understanding ability. In affective characteristics, there were no significant changes in high and middle level classes but in low level class students showed some progress in all 6 factors of affective characteristics. In particular, we knew that the cause of such positive changes comes from the effects of information collection step and presenting step of MG-CPS model.

• Education of Primary School Mathematics
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• v.22 no.4
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• pp.223-237
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• 2019

There is a close interaction between the linguistic-syntactic representation system and the affective representation system that appear in the mathematical process. On the other hand, since the mathematical conceptual system is fundamentally metaphoric, the analysis of the mathematical concept structure through linguistic representation can help to identify the source of cognitive and affective obstacles that interfere with mathematics learning. In this study, we analyzed the problem-solving protocols of mathematical gifted children from the perspective of cognitive language and meta-affect to identify the relationship between the functional characteristics of the text and metaphor they use and the functional characteristics of meta-affect. As a result, the behavior of the cognitive and affective characteristics of mathematically gifted children differed according to the success of problem solving. In the case of unsuccessful problem-solving, the use of metaphor as an internal representation system was relatively more frequent than in the successful case. In addition, while the cognitive linguistic aspects of metaphors play an important role in problem-solving, meta-affective attributes are closely related to the external representation of metaphors.

• Journal of Gifted/Talented Education
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• v.19 no.3
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• pp.477-501
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• 2009

The Purpose of this study is to investigate the general trends of research on gifted education in Korea, by analyzing the articles published during the last thirty years. A total of 347 articles from 14 academic journals which are registered were yearly and synthetically analyzed. The articles were examined in terms of their topics, domains, and age and grade. The most widely researched topic was the cognitive characteristics of the gifted followed by curriculum and affective characteristics of the gifted. Studies on scientifically, generally and mathematically gifted students occupied 86% of total researches. Researches utilized elementary students as their subjects more than middle school or high school students. There is a lack of research on the problems that the gifted students face and on the assessment of gifted education institutes. Moreover, there is hardly any longitudinal study.