• Journal of Educational Research in Mathematics
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• v.16 no.4
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• pp.327-344
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• 2006

This study examined the proof levels and understanding of constituents of proving by three mathematically gifted 6th grade korean students, who belonged to the highest 1% in elementary school, through observation and interviews on the problem-solving process in relation to constructing a rectangle of which area equals the sum of two other rectangles. We assigned the students with Clairaut's geometric problems and analyzed their proof levels and their difficulties in thinking related to the understanding of constituents of proving. Analysis of data was made based on the proof level suggested by Waring (2000) and the constituents of proving presented by Galbraith(1981), Dreyfus & Hadas(1987), Seo(1999). As a result, we found out that the students recognized the meaning and necessity of proof, and they peformed some geometric proofs if only they had teacher's proper intervention.

• Journal of The Korean Association For Science Education
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• v.40 no.3
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• pp.347-358
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• 2020

He purpose of this study is to design and apply a pilot assessment tools for scientifically gifted and talented elementary school students with lower grades. The assessment tool consists of three parts: homeroom teachers' recommendation, paper and pencil test and performance tests. The tools are verified whether they are suitable for unique characteristics of young children and enable to attract active participation. For suitability check, students' performance tests were inductively analyzed and 30 behavioral patterns were shown which were included and partially exceeded the level of lower elementary students' performance expectation in NGSS. As a result, we concluded that assessment tool developed in this study will be effective in discriminating young pupils' scientific talents. Then for participation check, we compared the number of coding references as an indicator of participation. Two cases were found that students with high interest participated passively in performance tests. We found these 'passive participants' had excessive scientific experiences and extremely narrow region of interest, during the process of complex interpretation between the results of this assessment tool and in-depth interviews with homeroom teachers. We found out in this study that newly developed tools can be used in school scene after modifying and elaboration through accumulation of more case studies.

• Journal of Gifted/Talented Education
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• v.10 no.2
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• pp.25-46
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• 2000

These purposes are to have a necessity to be educated for the linguistic gifted among many gifted in speedy changeable age, and to find out what differences are of properties between the linguistic gifted children and nongifted children through comparing/analysing to gifted children any nongifted children using performance evaluation on writer's ability. Therefore, it intends to use as a assisting material in order to develop ability and properties of the linguistic gifted children and nongifted children as well. The studying details are 1) to compare/analyze thinking ability between the linguistic gifted children and nongifted children 2) to find out differences of thinking ability for unrealistic reasoning between the linguistic gifted children and nongifted children. The studying subjects had been chosen 3 children as a first grade in 'C' Gifted Academy and 3 children as a first grade in an elementary school from June 3, 1999 to June 12, 1999. The studying instrument was an evaluation of linguistic properties certification(Project Spectrum : Krechevsky,'1994). It had got a frequency calculation, average and standard deviation through the material anylzing with the program SPSSWIN. The conclusions are as belows, First, as a result of performance evaluation on writer's ability to gifted children and nongifted children, the gifted children were outstandingly shown the linguistic ability getting much higher score than nongifted children in respect of vocabulary level, structure of writing, and consistency/logicality of theme. Second, it was shown the gifted children had diffusing thought than nongifted children through the esthetic question and impformation memories with listening to the realistic juvenil story and the unrealistic juvenile story.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.391-410
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• 2017

This study aims to analyze mathematically gifted students' characteristics of generalization and justification for a given mathematical task and induce didactical implications for individual teaching methods by students' learning styles. To do this, we identified the learning styles of three mathematically gifted 6th graders and observed their processes in solving a given problem. Paper-pencil environment as well as dynamic geometrical environment using Geogebra were provided for three students respectively. We collected and analyzed qualitatively the research data such as the students' activity sheets, the students' records in Geogebra, our observation reports about the processes of generalization and justification, and the records of interview. The results of analysis show that the types of the students' generalization are various while the level of their justifications is identical. Futhermore, their preference of learning environment is also distinguished. Based on the results of analysis, we induced some implications for individual teaching for mathematically gifted students by learning styles.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.1
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• pp.179-198
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• 2011

The understanding of mathematical concepts should be backed up on a constant basis in oder to grow problem-solving skills which is one of the ultimate goals of math education. The purpose of the study was to provide readers with the information which could be considered valuably for the math educators trying both to prevent mathematical misconceptions and to develop curricular program by estimating the actual conditions and developing backgrounds of the mathematical misconceptions held by the gifted education learners. Accordingly, this study, as the first step, theoretically examined the meaning and the developing background of mathematical misconception. As the second step, this study examined the actual conditions of mathematical misconceptions held by the participant students who were enrolled in the CTY(Center for Talented Youth) program run by a university. The results showed that the percentage of the correct statements made by participant students is only 35%. The results also showed that most of the participant students belonged either to the level 2 requiring students to distinguish examples from non-examples of the mathematical concepts or the level 3 requiring students to recognize and describe the common nature of the mathematical concepts with their own expressions based on the four-level of concept formulation. The causes could be traced to the presentation of limited example, wrong preconcept, the imbalance of conceptual definition and conceptual image. Based on the estimation, this study summarized a general plan preventing the mathematical misconceptions in a math classroom.

• Journal of Korean Elementary Science Education
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• v.42 no.1
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• pp.161-177
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• 2023

Scientific explanation is composed of various representations such as texts, diagrams, and graphs, and each representation contributes to expanding scientific meaning by connecting similar but slightly different meanings as a 'mode'. Based on this perspective of social semiotics, we aimed to identify the characteristics of meaning formation demonstrated in students' science writing (verbal mode) and science drawing (visual mode) and to discuss the pedagogical use of multimodal representations. To that end, 18 science drawings and 18 scientific writings constructed by science-gifted elementary students on air pressure were collected. The characteristics of the drawn and written explanations were then analyzed from the affordance perspective in social semiotics. In science drawing, students showed a tendency to use the affordance of the visual mode to infer concrete changes from the particle view, such as the movement of air particles, the number of air particles, and the collision of particles. In science writing, students used the affordance of the verbal mode mainly to infer the causal relationship between the concept of air pressure and other related factors at an abstract level. Based on those results, we discuss the educational implications and provide concrete examples of how to use the unique affordances of each form to complement one another.

• Journal of the Korean Chemical Society
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• v.63 no.2
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• pp.102-110
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• 2019

The purpose of this study was to explore the progression levels of science metamodeling knowledge through using questionnaires for 97 students of the gifted in G science academy. As a result of the Rasch model analysis, it was confirmed that the progression levels of the scientific metamodeling knowledge is suitable for the person reliability of 0.71 and the item reliability of 0.96. The progression levels of students' science metamodeling knowledge were classified into 4 stages. First and second levels were considered model to be objective and the third and fourth stages were perceived as subjective. The first level is to view the model as a visual representation of a phenomenon as it is, and the second level is to think that the model corresponds to objective knowledge or theory and is a tool for explanation. The Third level looks at the model as a scientist's exploration tool and fourth level is to think that the model is provisional one and multiple models can coexist in one phenomenon. The progression levels of science metamodeling knowledge of science high school students derived from this study is expected to be used as a reference when constructing a curriculum for science modeling and modeling for gifted students.

• Journal of Gifted/Talented Education
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• v.24 no.3
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• pp.463-477
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• 2014

The purpose of this study was to investigate the conceptions toward ICT in students who are currently enrolled in giftedness in invention classes. A total of 147 students at the junior and high school level responded to a 33 item questionnaire. Results show that these students consider ICT as very important and that it will become more important in the future. They also indicated that they frequently use ICT in their studies and also in their work. But a majority of the students considered their level of expertise in the ICT area as 'moderate', and their application of the programs as 'elementary'. Thus it can be assumed that these students did not have enough opportunity to learn ICT related skills. These students also expressed the desire to receive systematic instructions in the ICT area beginning from simple application to program development. The students thought that ICT skills need to be incorporated into the invention education to lead to better inventions. Considering the fact that the ICT area is becoming increasingly important and that Korea is considered a representative country in ICT, the reality of ICT education does not stand up to expectations, and the creative software development capacity is relatively low. Therefore, there is a need to incorporate ICT contents into the education for the giftedness in invention classes, and also to form connections with software development and invention education.

• Communications of Mathematical Education
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• v.31 no.2
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• pp.223-239
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• 2017

In this paper, it is aimed to design the teaching units 'Inquiry into the isoperimetric problem of triangle and quadrilateral' to give elementary gifted students experience of mathematization. For this purpose, the teacher and the class observer (researcher) made a discussion about the design of the teaching unit through the analysis of the class based on the thought processes appearing during the problem solving process of each group of students. The following is a summary of the discussions that can give educational implications. First, it is necessary to use mathematical materials to reduce students' cognitive gap. Second, it is necessary to deeply study the relationship between the concept of side, which is an attribute of the triangle, and the abstract concept of height, which is not an attribute of the triangle. Third, we need a low-level deductive logic to justify reasoning, starting from inductive reasoning. Finally, there is a need to examine conceptual images related to geometric figure.

• Journal of Gifted/Talented Education
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• v.24 no.6
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• pp.1039-1051
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• 2014

This study aims to measure intelligence (cognitive characteristics), self-esteem, mathematical attitudes, and scientific attitudes (affective characteristics) of gifted students from low-income families, and to identify the relationship among these variables. 147 students in the lower grades of elementary schools who were enrolled to university-based gifted education centers were participants of the study. The results showed that the percentile scores of each variable were 85% for intelligence, 75.6% for self-esteem, 73.3% for mathematical attitudes, and 71.3% for mathematical attitudes. There was no statistically significant relationship between intelligence and the affective characteristics (i.e., self-esteem, mathematical attitudes, and scientific attitudes), while statistically significant relationships were shown between self-esteem and mathematical attitudes (r=.448, p=.000), between self-esteem and scientific attitudes (r=.522, p=.000), and between mathematical attitudes and scientific attitudes (r=.448, p=.000). The results suggest that although the gifted students from low-income families show lower levels compared to other gifted student groups, their potential level of giftedness is considerably high, which calls for appropriate educational support systems designed for this population.