• Communications of Mathematical Education
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• v.25 no.1
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• pp.147-166
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• 2011

In this paper, we listed and discussed the properties of the Pythagorean triples which 5 gifted 9th graders could draw in spreadsheets environments. And we also discussed their implications. In detail, in spreadsheets environments students could make the table of Pythagorean triples easily under several conditions of generate numbers of Pythagorean triples. And they could draw several properties of Pythagorean triples from the tables and could prove them. In spreadsheets environments it is easy to give students chances of generalization of the properties of Pythagorean triples which they had obtained from the concrete table of Pythagorean triples.

• Communications of Mathematical Education
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• v.27 no.2
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• pp.99-119
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• 2013

This study investigated the schemes to apply key competencies to middle school math teaching. Key competencies (KCs, hereafter), however, have been discussed only at the national-level general curriculum. Through the survey with mathematics educators, we selected key competencies that can be better developed through mathematics subject. We investigate ways to apply key competencies into math teaching and learning with the math-talented students who usually lack interpersonal skills and communication skills. Along with KC goals, we selected graphs (or graphing skills in math contents) as learning goals, and we designed and implemented competency-based instruction for the gifted. Through participant observation of math teaching and learning, we identified students' improvement in interpersonal skills and communication skills. We also identified students' skill development in other key competencies such as creativity, problem solving, information processing skills, etc., which can be developed through mathematics teaching and learning. Through this study, we found out that key competencies can be developed through mathematics teaching and we need in-depth studies on this matter.

• Journal of The Korean Association For Science Education
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• v.37 no.6
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• pp.1037-1049
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• 2017

The purpose of this study is to explore how the flow of discourse move and their reasoning process in dialogic argumentation during group modeling on excretion. Five groups of three to four students in the second grade of a middle school participated in the modeling practice of a Gifted Center. Analysis was conducted on argumentation during the modeling activity in which students should explain how the waste product (ammonia) leaves the body. It was found that there was a sequential argumentative process-tentative consensus, solving the uncertainty, and consensus. There were several discourse moves - 'claim' and 'counterclaim' in the stage of tentative consensus, 'query' and 'clarification of meaning' in the stage of solving the uncertainty, and 'change of claim' in the stage of consensus. Students participated in the dialogic argumentation by constructing argument collaboratively for reaching a consensus. Critical questioning in the stage of solving the uncertainty and reasoning in the stage of consensus were the impact factors of dialogic argumentation. By answering the critical questions, students changed their claims or suggested new claims by defending or rebutting previous claims. Students justified group claims with diverse argumentation scheme and scientific reasoning to reach a group consensus. These findings have implication for science educators who want to adopt dialogic argumentation in science classes.

• Journal of Gifted/Talented Education
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• v.26 no.2
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• pp.365-387
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• 2016

This study examined the effects of students'perceptions of classroom on self-regulatory strategy use, persistent intention, and achievement in an online Science gifted program. The sample included 434 middle and high school students who participated in the 3-months online gifted program. Participants volunteerly surveyed on their perceptions of classroom (appeal, challenge, choice, meaningfulness, academic self-efficacy), self-regulatory strategy use, and persistent intention. Student achievement data was collected from online learning system. Multiple Regression was conducted to analyze the effect of students'perceptions of classroom on various dependent variables. The results of this study showed that (1) students use of rehearsal strategy was positively related to academic self-efficacy among the sub-variables of students'perceptions of classroom and the use of rehearsal strategy was negatively related to challenge; (2) the use of elaboration strategy was positively related to challenge and meaningfulness; (3) the use of time management strategy was positively related to academic self-efficacy and the use of resource management strategy was positively related to challenge; and (4) students' persistent intention was related to appeal, challenge and meaningfulness, achievement was related to challenge.

• The Journal of Korean Association of Computer Education
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• v.19 no.4
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• pp.11-20
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• 2016

In this paper, I developed a assesment indicator to evaluate SW program developed by students in SW education. The SW education carry out in elementary school, middle school and high school from 2016. But the assesment indicator to evaluate SW program had not been developed until now. Therefore, I tried to develop the assesment indicator that have harmoniously educational characteristic and SW qualitative characteristic. First of all, I had set the 15 attributes for assesment and developed the 36 criteria for 15 attributes. And the validity of 15 attributes and 36 criteria for assesment had been reviewed by 39 SW educational experts. As a result, the 15 attributes and 36 criteria for assesment were determined to which that have validity. I expect that the assesment indicator developed in this paper will raise the reliability of evaluation in SW education. And the assesment indicator may be used at SW competition conference for teenagers.

• School Mathematics
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• v.18 no.1
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• pp.215-229
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• 2016

This study aims to identify Archimedes' idea used while proving proposition 23 in 'Quadrature of the Parabola' and to provide an alternative way for finding the sum of geometric series without applying the concept of limit by extending the idea though metaphor. This metaphorical model is characterized as static and thus can be complimentary to the dynamic aspect of limit concept adopted in Korean high school mathematics textbooks. In addition, middle school students can understand $0.999{\cdots}=1$ with this model in a structural way differently from the operative one suggested in Korean middle school mathematics textbooks. In this respect, I argue that the metaphorical model can be an useful educational tool for Korean secondary students to overcome epistemological obstacles inherent in the concepts of infinity and limit by making it possible to transfer from geometrical context to algebraic context.

• Communications of Mathematical Education
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• v.8
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• pp.287-301
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• 1999

방과후 수학수업이나 현행 수학능력시험 후 고3학생의 수학지도는 그 방법과 목적이 기존의 수학교과의 내용과 운영방식과는 차별화 되야 한다. 특히 교사는 이에 대한 인식과 필요한 지식이 증대 되야 하며, 교내 방과후 영재반 또는 수학관련 동아리에서 사용할 주제의 선정과 교수법이 개발되어야한다. 주제선정은 대수, 해석영역에서 연계성이 강하게 나타나는 것이 바람직하며, 수학교육의 목표에 실질적으로 부합되어야한다. 본 논문에서 우리는 일${\cdot}$이차 다항식을 예로 제시하고자 한다. 다항식은 중학교 수학교과에서 인수분해와 전개의 대상이고 고교과정에선 접선이나 정적분의 대상이다. 우리는 일${\cdot}$이차다항식을 미분, 적분, 행렬, 그리고 벡터의 입장에서 근사(approximation)의 주체로 다루었다.

• School Mathematics
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• v.9 no.4
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• pp.487-506
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• 2007

The aims of this study is figure out the characteristics of justification patterns and mathematical representation which are derived from 14 mathematically gifted middle school students in the process of solving the spatial tasks on Archimedean solid. This study shows that mathematically gifted students apply different types of justification such as empirical, or deductive justification and partial or whole justification. It would be necessary to pay attention to the value of informal justification, by comparing the response of student who understood the entire transformation process and provided a reasonable explanation considering all component factors although presenting informal justification and that of student who showed formalization process based on partial analysis. Visual representation plays an valuable role in finding out the Idea of solving the problem and grasping the entire structure of the problem. We found that gifted students tried to create elaborated symbols by consolidating mathematical concepts into symbolic re-presentations and modifying them while gradually developing symbolic representations. This study on justification patterns and mathematical representation of mathematically gifted students dealing with spatial geometry tasks provided an opportunity for understanding their the characteristics of spacial geometrical thinking and expending their thinking.

• Journal of The Korean Association For Science Education
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• v.28 no.1
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• pp.32-46
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• 2008

The purpose of this study was to analyse the qualitative and quantitative characteristics of paper-pencil tests for exploring its appropriateness as a selection tool of the gifted in science. For this purpose, we developed two (internal and external) item analysis frameworks, and applied these frameworks to analyse qualitative characteristics. Also, we analysed the relationship between two characteristics. The results of analysing qualitative characteristics revealed that the portion of items with acceleration context exceeding middle school curriculum level was relatively large, which caused low content validity. Furthermore, there was considerable deviation in content and context by subject matter and year, which caused test unstability. Items measuring knowledge domain was the most prevalent, and too much weight on data interpretation & analysis domain in inquiry process skills. In case of creativity test, the portion of items measuring convergent thinking was much larger than that of divergent or associative thinking. Most of these items were represented by using pictures and tables rather than using graphs. Item types of multiple-choice and short answers were superior to essay types. Discrimination index, on the whole, was appropriate (above 0.3), but item difficulty showed a vast deviation ($0.01{\sim}0.90$). Correlation coefficients among subject matters and test tools were very low, and test reliabilities were also low. Low item difficulty & high discrimination index item types were distinguishable. Items with acceleration context were more discriminating than enrichment context. Implications of developing quality paper-pencil test items in the selection of gifted students are discussed.

• Journal of The Korean Association For Science Education
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• v.21 no.4
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• pp.677-688
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• 2001

The purposes of this study are to investigate the school science high achievers' achievements in enrichment physics, logical thinking level, and to analyze the relationship between logical thinking level and the achievement in enrichment physics of high achievers in science. The subjects were 357th and 8th graders who achieved highly in school science. To assess their achievements in enrichment physics, we developed a new test consisting of descriptive problems which were based on middle school curriculum. Those problems require one or two steps of thinking process, not simple knowledge of science. To assess logical thinking level, we used the instrument called GALT(Group Assessment of Logical Thinking) developed by Roadranka et al. The results showed that the school science high achievers' average achievement in enrichment physics was low, 56.3 out of 150, which indicated that they had not done much of enrichment learning beyond middle school science curriculum. Just only 54% of the school science high achievers are in formal logical thinking level. From the analysis of relationship between their logical thinking level and the achievement in enrichment physics, the value of the correlation coefficient was 0.174, which means that they are not almost correlated. Therefore, it is not desirable to judge science gifted children just from achievement in school science or enrichment physics, so both(logical thinking and the achievement in enrichment physics) tests should be taken for selecting gifted student.