• Education of Primary School Mathematics
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• v.26 no.1
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• pp.1-13
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• 2023

One of major goals of mathematics education is to cultivate human resources which equip creative problem-solving ability. Thus, the enhancement of creative and converging ideas has been emphasized in the national curriculum since the 2009 revised curriculum. In the current study, we analyzed authorized textbook series to examine how each curriculum material addresses the creativity convergence competency. The foci of the analysis were creativity (originality, fluency, flexibility, elaboration) and convergence (intrinsic connection, extrinsic connection). In addition, we analyzed the national textbook which was based on the 2015 revised curriculum to investigate the transition between the national textbook and the authorized textbooks. We found the tasks that focused on fluency were the most frequent type regarding creativity and the tasks that connected with everyday life situations (extrinsic connection) were prevalent across the three textbook series. We provided suggestions about the development of mathematics textbooks and their implementation.

• Communications of Mathematical Education
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• v.17
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• pp.141-158
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• 2003

영재의 특성은 다양한 분야에 대한 관심과 재능을 가지고 있으며 지적 호기심에 대한 도전의식이 강하다. 영재교육프로그램은 이러한 영재들의 지적호기심을 자극하여 영재로서 갖추어야할 제반 능력들을 균형 있게 길러 줄 수 있어야한다. 그러나 현재까지 개발된 대부분의 영재교육프로그램들은 여전히 논리와 이론을 중시하여 수리능력, 창의적 문제해결력 등 대부분 지적 능력신장에 치중하는 경향이 있다. 이러한 프로그램만으로는 교과별 학습을 통하여 얻게 되는 개념과 원리들을 생활과 관련지어 이해하거나 다양한 분야에 적용하는 능력을 길러주는데는 한계가 있다. 따라서, 영재아들의 잠재능력을 계발하고, 교과간의 연결능력을 길러 새로운 분야를 창의적으로 개척할 수 있는 능력을 신장하기 위해서는 수학분야에 집중된 주제를 다루기보다는 개방적인 주제를 다루는 간학문형 프로그램 개발이 필요하다. 본 연구에서는 수학분야나 지적영역에만 국한되는 편협성을 탈피하여 보다 창의적인 역량(creative competency)을 신장할 수 있는 수학과 관련성이 있는 간학문형(間學文型, inter-disciplinary)프로그램 개발 방안과 그 사례를 제시하고자한다.

• Proceedings of the Korea Multimedia Society Conference
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• 2001.06a
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• pp.103-106
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• 2001

최근 들어 인간의 의지를 컴퓨터에 전달하기 위한 수단으로 컴퓨터 시각기반 방식으로 제스처를 인식하고자 하는 연구가 널리 진행되고 있다. 제스처 인식에서 가장 중요한 문제는 실시간 처리로 알고리즘의 단순화와 처리시간의 감소이다. 이러한 문제를 해결하기 위해서 본 연구에서는 기하학적 집합론에 근거하고 있는 수학적 형태론을 적용하였다. 형태론적 형상분해를 적용하여 얻은 손짓 형상의 원시형상 요소들의 방향성은 손짓에 관한 중요한 정보를 내포하고 있으며 이러한 특징에 근거하여 본 연구에서는 주 원시형상 요소와 부 원시형상원소의 중심점을 연결하는 직선으로부터 특징벡터를 이용한 형태론적 제스처 인식 알고리즘을 제안하고 실험을 통하여 그 유용성을 증명한다.

• Journal of Educational Research in Mathematics
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• v.27 no.1
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• pp.51-67
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• 2017

Analogical reasoning is a mathematically useful way of thinking. By analogy reasoning, students can improve problem solving, inductive reasoning, heuristic methods and creativity. The purpose of this study is to analyze the analogical reasoning of preservice mathematics teachers while constructing quadratic curves defined by eccentricity. To do this, we produced tasks and 28 preservice mathematics teachers solved. The result findings are as follows. First, students could not solve a target problem because of the absence of the mathematical knowledge of the base problem. Second, although student could solve a base problem, students could not solve a target problem because of the absence of the mathematical knowledge of the target problem which corresponded the mathematical knowledge of the base problem. Third, the various solutions of the base problem helped the students solve the target problem. Fourth, students used an algebraic method to construct a quadratic curve. Fifth, the analysis method and potential similarity helped the students solve the target problem.

• Journal of Internet Computing and Services
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• v.16 no.5
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• pp.67-73
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• 2015

In this paper, we propose a disconnectedness determination algorithm for workflow-supported enterprise social networks. this networks can be discovered from the work-allocation relationships between activities and performers in workflow procedures and It networks are useful to analyze, evaluate and numerically explain the work-performance of performers. But there could be the disconnectedness due to the characteristics of workflow, and therefore analysis result of performers can be inappropriate logically as well as mathematically. So, we have to decide whether or not this network is disconnectedness before we analyze workflow-supported enterprise social networks. Conclusively, we try to carry out a thorough investigation into the formation reasons of the disconnectedness, and propose a determination algorithm of the disconnectedness for workflow-supported enterprise social networks.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.3
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• pp.505-530
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• 2017

Although mathematically gifted students have potential and creative productivity, they might not manifest group level creative synergy. To manifest group creativity among them, the manifestation process should be facilitated and the process losses should be minimized. The purpose of this study is looking for the method to facilitate the manifestation process of group creativity and minimize the process losses of it. To do this, a case study method was adopted. The products and process losses of the manifestation process of group creativity was analysed. In conclusion, the processes and products of group creativity were concretized and the process losses were analysed by social/motivational and cognitive factors. In addition, the justification and agreement were necessary for the manifestation process of group creativity among mathematically gifted students.

• Communications of Mathematical Education
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• v.36 no.2
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• pp.229-252
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• 2022

This study analyzed the introduction of addition and subtraction, including the composition and decomposition of numbers in the Korean, Singaporean, American, and Japanese elementary mathematics textbooks. The analytic foci of this study included visual models and their connections with the given problem contexts, the introduction of addition/subtraction or addition/subtraction sentences and their connections with the visual models, and additional activities for students to develop a relational understanding of the equal sign. The results of the analysis demonstrated diverse connections, mainly because the problem contexts, visual models, and the introduction of addition/subtraction or addition/subtraction sentences were implemented differently for each textbook. There were differences among the textbooks in what order of problem contexts were presented. Regarding the use of visual models, two textbooks tended to use one model consistently, whereas the other textbooks used various models depending on the problem contexts. There were subtle but significant differences in introducing addition/subtraction or addition/subtraction sentences. For a relational understanding of the equal sign, all textbooks included activities emphasizing that both sides of the equal sign are equal. Based on the results of this study, this paper closes with several implications related to the problem contexts to introduce addition/subtraction and addition/subtraction sentences as well as the use of visual models, which can serve as a basis for a new unit for the subsequent textbook.

• Proceedings of the Korean Information Science Society Conference
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• 2005.11a
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• pp.166-168
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• 2005

본 논문에서는, axa 출력 버퍼 스위치로 구성된 핫스팟이 발생된 상황 하에서 다단 연결 망(Multistage interconnection Network, MIN)의 성능 예측 모형을 제안하였다. 제안한 성능 예측 오형은 먼저 네트워크 내부 임의 스위치 입력 단에 유입되는 데이터 패킷이 스위치 내부에서 전송되는 유형을 확률적으로 분석하여 설계하였다. 성능분석 모형은 스위치에 장착된 버퍼의 개수와 무관하게 버퍼를 장착한 axa 스위치의 성능, 네트워크 정상상태 처리율(Normalized Throughput, NT)과 네트워크 지연시간(Network Delay)의 예측이 가능하고, 나아가서 이들로 구성진 모든 종류의 다단 연결망 성능 분석에 적용이 용이하다. 제안한 수학적 성능 분석 연구의 실효성 검증을 위하여 병행된 시뮬레이션 결과는 상호 미세한 오차 범위 내에서 모형의 예측 데이터와 일치하는 결과를 보여 분석 모형의 타당성을 입증하였다.

• Journal of Educational Research in Mathematics
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• v.27 no.4
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• pp.833-855
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• 2017

This study aims to reinvestigate the reason for introducing radian as a new unit to express the size of angles, what is the meaning of radian measures to use arc lengths as angle measures, and why is the domain of trigonometric functions expanded to real numbers for expressing general angles. For this purpose, it was conducted historical, mathematical and applied mathematical analyzes in order to research at multidisciplinary analysis of the radian concept. As a result, the following were revealed. First, radian measure is intrinsic essence in angle measure. The radian is itself, and theoretical absolute unit. The radian makes trigonometric functions as real functions. Second, radians should be aware of invariance through covariance of ratios and proportions in concentric circles. The orthogonality between cosine and sine gives a crucial inevitability to the radian. It should be aware that radian is the simplest standards for measuring the length of arcs by the length of radius. It can find the connection with sexadecimal method using the division strategy. Third, I revealed the necessity by distinction between angle and angle measure. It needs justification for omission of radians and multiplication relationship strategy between arc and radius. The didactical suggestions derived by these can reveal the usefulness and value of the radian concept and can contribute to the substantive teaching of radian measure.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.443-465
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• 2016

The study aims to compare our newest mathematics curriculum with Singapore's and analyse the differences of them. Because the levels of our mathematics education have been evaluated to be difficult to our students, we try to find that the evaluation is appropriate and there are other characteristics we have to notice carefully, and provide some implications for our mathematics curriculum. We mainly compared both mathematics curriculums focussed on the national documents of mathematics curriculum, and textbooks in the level of middle school. The results are following. Firstly, Singapore has three tracks based on students' abilities and there are three kinds of textbooks on the tracks. This is a different from our teaching on students level. Secondly, the introductions of our mathematics curriculum contents are not faster than Singapore's, but they have more concrete ranges of contents than us. Thirdly, the focus of Singapore's mathematics education lies on problem solving, and we can find some good examples of contents of textbook focussed on problem solving. Some mathematical concepts are introduced simply without any process of students discoveries or investigations, and the focus lies on the problem solving using the concepts. Fourthly, Singapore's mathematics textbooks are more emphasis on the internal connections than ours.