• Education of Primary School Mathematics
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• v.2 no.1
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• pp.15-26
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• 1998

Teachers beliefs for the mathematics can have a powerful impact on how children go about learning mathematics, and theirs mathematical beliefs and abilities. In this study, \circled1 to divided teacher's mathematical beliefs into three - absolutism, progressive absolutism, constructivism - and to search into a theoretical characteristic, \circled2 to analyze and criticize the problems of the behaviorism and to investigate a point of basic view of the constructivism on mathematics education, \circled3 to suggest teacher's a role in mathematics learning be based on the constructivism perspective .

• School Mathematics
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• v.10 no.1
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• pp.105-121
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• 2008

Even though the 7th national curriculum based on learner-centered instruction as fundamental spirit has been operated for 10 years or so, still the instruction style nation widely implemented in current classrooms is closer traditional style than it. It is a big challenge for a teacher who is used to a traditional one to try to fully make learner-centered instruction. The paper describes the teacher's cognizance change on it with the point of views of children's ability to construct knowledge, instructional materials, questioning techniques, and children's achievements.

• Journal for History of Mathematics
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• v.33 no.5
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• pp.289-299
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• 2020

In this paper, we investigate the causes and the characteristics of transformations of mathematics education in modern China, focusing on the contents of mathematics education in the Ming and Qing dynasties. In this process, mathematics education was investigated from the overall educational view of each dynasty, so the educational situation of each dynasty was also considered.

• Journal for History of Mathematics
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• v.21 no.3
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• pp.1-30
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• 2008

The success of Newton's Gravitational Theory has influenced the theory of capillarity, beginning in the early nineteenth century, by providing a major model of molecular attraction. He used the equation of the attraction of spheroids, which is expressed by second order partial differential equations, to utilize this analogy as the same kind of a particle's force, between gravitational, refractive force of light, and capillarity. The solution of the differential equation corresponds to the geometrical figure of the vessel and the contact angle which is made by the fluid. Unknown abstract functions $\varphi(f)$ represent interaction forces between molecules, giving their potential functions. By conducting several kinds of experimental conditions, it was found that the height of the ascending fluid in the tube is inversely proportional to the rayon of the tube or the distance of the plate. This model is an essential element in the theory of capillarity. Laplace has brought Newtonian mechanics to completion, which relates to the standard model of gravitational theory. Laplace-Young's equation of capillarity is applicable to minimal surfaces in mathematics, to surface tensional phenomena in physics, and to soap bubble experiments.

• Journal of Korean Society of Environmental Engineers
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• v.29 no.2
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• pp.176-183
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• 2007

In order to analyze the experimental results obtained from the model riverbed filtration performed by Ahn et al. a mathematical model was developed to simulate the flow through the lateral. The discharge rates at each section of the lateral measured by Ahn et al. were compared with the model predictions, and they matched favorably. The Manning's roughness coefficients of all the laterals employed in the study of Ahn et al. were determined using the model. Results show that the roughness coefficient becomes larger with the increase in the entrance velocity to the collector well, and that the coefficient ranges from 0.012 to 0.015 under the normal operational conditions of the riverbed filtration. Results also show that the coefficient becomes smaller as the lateral diameter increases.

• Bulletin of the Korean Mathematical Society
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• v.20 no.2
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• pp.111-122
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• 1983

지금까지 H. Aebli, A. Fricke, R.W. Copeland, G. Steiner, E. Wittmann, R.R.Skemp, Z.P. Dienes등에 의해 Piaget이론의 수학교육적 연구가 상당한 정도로 이루어져 왔다. 그러나 Centre International D'epistemologie Genetique를 중심으로 한 집단사고와 방대한 연구결과를 집약한 소위 'Piaget이론'은 타에 그 종례를 찾아볼 수 없는 포괄적인 것인 바, 지금까지 이루어진 Piaget이론의 수학교육적 접근은 Piaget이론의 한정된 부분의 단편적인 응용에 불과하며, Piaget의 발생적 수학인식론 및 심리학의 중심원리와 연구결과를 반영한 보다 철저한 연구가 요망되고 있다. 본 고는 그 이론적 기초에 관한 연구의 일환으로 1969년에 출판된 Psychologie et pedagogie에 실린 'La didactique des mathematiques'와 1972년 ICMI의 제2차 수학교육국제회의에 기고한 논문 'Comments on mathematical education'에 나타난 수학교육에 대한 Piaget자신의 견해를 그의 수학인식론의 분석적 고찰을 통해 양세화하고, 그 실제적 구현방안을 제시해 본 것이다.

• Honam Mathematical Journal
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• v.2 no.1
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• pp.25-35
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• 1980

Vector치(値) 함수(函數)의 Vector치(値) 적분론(積分論)에는 많은 연구(硏究)가 되어 왔으나, 본(本) 논문(論文)에서는 그 가운데 Bochner 적분론(積分論)에 대(對)해서 연구(硏究)하고 Bochner 부정적분(不定積分)에 의(依)한 Vector치(値) 측도(測度)의 표현(表現)에 관(關)한 Radon-Nikodym 정리(定理)에 대(對)해서 연구(硏究)하였다.

• School Mathematics
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• v.10 no.4
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• pp.557-571
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• 2008

The objective of this paper is to study De Morgan's thoughts on teaching and learning negative numbers. We studied De Morgan's point of view on negative numbers, and analyzed his didactical approaches for negative numbers. De Morgan make students explore impossible subtractions, investigate the rule of the impossible subtractions, and construct the signification of the impossible subtractions in succession. In De Morgan' approach, teaching and learning negative numbers are connected with that of linear equations, the signs of impossible subtractions are used, and the concept of negative numbers is developed gradually following the historic genesis of negative numbers. Also, we analyzed the strengths and weaknesses of the De Morgan's approaches compared with the mathematics curriculum.

• Journal of the Korean Institute of Gas
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• v.2 no.1
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• pp.40-46
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• 1998

Mathematical modeling on the corrosion of the steel casing and main pipe due to the protection current resulting from a cathodic protection system was carried out using boundary element method. The model is consisted of Laplace's equation with non-linear boundary conditions(Tafel equations) and the iterative technique to determine the miexed potential of the steel casing. The model is applied to the normal steel casing section as well as abnormal one with defects such as metal touch and insulation defects. From the modeling procedure, we can calculate the potential distributions and current density distributions of the system. The theoretical results of the qualitatiive corrosion aspect along the steel casing and main pipe agree well with the experimental results within the experimental conditions studied.

• Communications of Mathematical Education
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• v.14
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• pp.135-150
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• 2001

역동적 평가는 구성주의와 사회문화적 관점이 교육과정에 많은 영향을 주면서 이를 평가에 반영하기 위한 대안으로 등장한 새로운 평가의 방향이다. 전통적인 심리 측정에 대한 비판에서 시작되었으며, 통계적인 자료정리에서 벗어나 아동에 대한 변화가능성을 평가하자는 것이 주목적이다. 결과 지향적인 평가는 미래의 수행에 대한 완전한 예언을 할 수 없지만, 역동적 평가에서 각 개인의 평가는 개인의 특성에 따라 각기 다른 체제 내에서 이루어진다. 역동적 평가의 입장 가운데서도 본 연구에서는 사회문화적 체제 관점에서 실제영역과 발달가능영역에 대한 사회적 상호작용에 대해 관심을 가지고 있다. 이를 위해 개인에 작용하는 생태학적 회로망을 평가의 주요한 배경으로 선택하고 있으며, 사회문화적 관점에서 평가관의 변화를 제시하면서 이에 따른 수학교육적 시사점을 찾아본다.