• Communications of Mathematical Education
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• v.23 no.2
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• pp.297-312
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• 2009

We study the process of horizontal and vertical mathematization on the polyhedron problems through the history of mathematics, computer experiments, problem posing, and justifications. In particular, we explore the Hamilton cycle problem, coloring problem, and folding net construction on the Archimedean and Catalan polyhedrons. In this paper, we present our mathematical results on the polyhedron problems, and we also present some unsolved problems that we found. We found that the history of mathematics and mathematical experiments are very useful in such R&E exploration as polyhedron problem posing and solving project.

• School Mathematics
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• v.12 no.1
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• pp.79-95
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• 2010

The purpose of this study is to examine into how the mathematically gifted cope with ambiguity when they are encountered to learn via resolving ambiguity. In this study 6 gifted students are asked to resolve the ambiguity. Participant in this study appeared to experience the need of mathematical justification and the flexible change of perspective. The gifted have constructed unified mathematical knowledge by making a relation between two incompatible perspective in the process of resolving the ambiguity. We suggest that dealing with ambiguity in mathematics class can be a good opportunity for enhancing the gifted student mathematics education.

• Journal for History of Mathematics
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• v.36 no.4
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• pp.61-78
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• 2023

By virtue of the characteristics inherent in diagrams, diagrammatic reasoning has potential and limitations that distinguish it from general thinking. It is natural that diagrams rarely appeared in Joseon mathematical books, which were heavily focused on computation and algebra in content, and preferred linguistic expressions in form. However, as the late Joseon Dynasty unfolded, there emerged a noticeable increase in the frequency of employing diagrams, due to the educational purposes to facilitate explanations and the influence of Western mathematics. Analyzing the role of diagrams included in Jo Taegu's 'JuseoGwangyeon', an exemplary book, this study includes discussions on the utilization of diagrams from the perspective of mathematics education, based on the findings of the analysis.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.1
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• pp.65-80
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• 2010

The aims of our study are to investigate the nature of mathematical reasoning and the teaching of mathematical reasoning in school mathematics. We analysed the process of shaping deduction in ancient Greek based on Netz's study, and discussed on the comparison between his study and Freudenthal's local organization. The result of our analysis shows that mathematical reasoning in elementary school has to be based on children's natural language and their intuitions, and then the mathematical necessity has to be formed. And we discussed on the sequences and implications of teaching of the sum of interior angles of polygon composed the discovery by induction, justification by intuition and logical reasoning, and generalization toward polygons.

• Journal of Educational Research in Mathematics
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• v.15 no.4
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• pp.505-522
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• 2005

In this article we studied the role of spreadsheet in teaching function and modeling activity by some examples and students' activity performed by the six 10th graders. We especially focused the role of spreadsheet in understanding of various kinds of functions and the families of functions, and in the explanation of the given modeling problem situations. The functions of automatic copy, graphic and the cell reference of spreadsheet can be used to make students observe the causes and effects of changes of the various kind of mathematical representations of functions such as algebraic formulas, tables and graphs. Especially those functions give students a chance to identify family of functions by changing the parameters and this may lead them to the discovery of mathematical facts. In modeling activities they play a key role in the stages of the analysis of the model, explanation of the results of model and conjecture of the real world situations. As well as they make students find the rules underlying in the real world by making spreadsheet as simulation environments, which are almost impossible to make in paper and pencil environments, and give them a chance to justify their findings using mathematics.

• Communications of Mathematical Education
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• v.28 no.4
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• pp.513-528
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• 2014

This study is intended to examine 36 in-service secondary school mathematics teachers' conceptions of proof in the context of mathematics and mathematics education. The results suggest that almost teachers recognize the role as justification well but have the insufficient conceptions about another various roles of proof in mathematics. The results further suggest that many of teachers have vague concept-images in relation with the requirement of proof and recognize the insufficiency about the actual teaching of proof. Based on the results, implications for revision of mathematics curriculum and mathematics teacher education are discussed.

• Proceedings of the Safety Management and Science Conference
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• 2004.11a
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• pp.439-445
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• 2004

1895년에 독일 뢴트겐에 의해 발견된 이후 X선은 1896년부터 의료목적으로 사용된 기록이 있으며, 한국에 도입되어 진단용X선발생장치로서 환자 진료에 사용하기 시작한 역사는 1911년경부터 조선총독부의원과 세브란스의원에 도입되어 사용하게 되었다. 최근 의학 및 의용공학의 발전으로 방사선을 이용한 진단 기술의 발전과 건강에 대한 국민의 의료욕구가 증가함에 따라 방사선을 이용한 질병의 진단과 치료 방법에서 새로운 기법이 개발되고 그 이용은 지속적으로 증가되고 있는 추세이다. 방사선의 이용은 진단 및 치료에 중대한 이득을 제공하고 있으나 그 이면에는 최적화 및 정당화 되지 않은 방사선의 피폭으로 장애 및 유해요인이 초래되는 것은 부인할 수 없다. 이와 관련하여 방사선을 이용하여 검사 및 치료를 시행함에 있어 피폭선량 최적화를 위한 기술적 노력은 방사선 관계자의 막중한 의무이다.

• The Korean Journal of Financial Management
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• v.9 no.2
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• pp.1-29
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• 1992

자본자산(資本資産) 가격결정(價格決定)의 소비기저모형(消費基低模型)은 자본시장의 성질들을 깊이 있게 반영한 모형이지만 이 모형을 정립하는 데 사용된 효용함수의 형태가 주어지지 않고 있다. 이 효용함수의 형태는 실증분석을 통하여 결정되어야 한다. 이 논문에서는 소비기저모형에 사용될 수 있는 효용함수(效用函數)로서 기대효용함수(期待效用函數), 화폐효용함수(貨幣效用函數)와 비기대효용모형(非期待效用模型)을 상정하고 우리나라의 데이터를 사용하여 이 중 어느 함수(函數)가 우리나라의 투자활동과 자산의 가격결정에 적합한가를 실증적으로 분석하였다. 그 결과 상대적 위험기피계수는 대략 4이고 주관적 할인율이 0.8정도이며 소비기저모형(消費基低模型)을 정당화시키는 효용함수(效用函數)는 비기대(非期待) 모형(模型)임이 발견되었다.

• Journal of Educational Research in Mathematics
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• v.27 no.3
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• pp.557-580
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• 2017

The purpose of this study is developing the manifestation process model of group creativity among mathematically gifted students. Therefore, I designed the manifestation process model of group creativity by researching the existing literatures on group creativity and mathematical creativity. The manifestation process model of group creativity was applied to mathematically gifted students' class. By analyzing students' response, the manifestation process model of group creativity was improved and concretized. In conclusion, the process of a combination of contributions was concretized and the major variables on group creativity such as a diversity, conflict, emotionally supportive environment and social comparison were verified. In addition, some reflective processes was discovered from a case study.

• The Journal of the Korea Contents Association
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• v.20 no.9
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• pp.638-647
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• 2020

This study reflects on suffering, a theme of anthropology, from a Christian theological point of hope. It suggests that suffering is not a negative experience, rather a medium of hope that can be a positive driving force in life and an opportunity to reach personal maturity. It aims to deepen the content of anthropology regarding the meaning of suffering by discovering a new harmony within the relationship between pain and hope. The book of Job denies the theodicical concept that justifies suffering as punishment for human sins and opens a new horizon of understanding the suffering as a space of hope, where men can experience the Love of God in the relationship with God. In his theology of suffering, Moltmann broadens and deepens the horizon of understanding as the book of Job discovered. First, he interprets the history in the hope of an eschatological future when the resurrected Jesus Christ will bring the final victory over evil and suffering. Then he invites men to proactively resist the absurdity and suffering revealed through this interpretation. Second, Moltmann reflects on the problem of suffering in the concept of the Trinity of God who endures active suffering with love for men shown in the crucifixion of Jesus Christ. He offers another hope that enables men to overcome the suffering in God's love. Therefore, the Christian faith can confess that we can hope in suffering.