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신향근,양기열,정권수,송영무 順天大學校 師範大學 附屬 科學敎育硏究所 1996 科學과 敎育 Vol.4 No.-
Since the academic year of 1994, the Scholatic Ability Test(abbr. S.A.T) was given for students who wanted to get adimssions from universities and colleges in Korea. This test has revolutionized the pattern of teaching and learning mathematics in most highschool classrooms. In this paper, we will show a feature of S.A.T. and analyze mathematics problems of 1997's S.A.T.
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신향근,심현 인하대학교 교육연구소 2018 교육문화연구 Vol.24 No.1
In the mathematics curriculum, the self-directed learning effect of Moore's teaching method is highly evaluated. However, the disadvantage of Moore's method is that it is difficult for the student to carry out pre–learning. If students are not properly organized during the review process after class, it becomes difficult to understand and learn the subject. In this study, we developed modified Moore 's method applying flip - learning method to solve the disadvantages of Moore' s method. Modified Moore 's method teaches preliminary learning in the course of the preliminary stage of flip-learning. During class, presentations, discussions, and feedback from the professors are held. After class, the captured video contents are uploaded to LMS. In addition, it is designed to perform complete learning in the review process. In addition, the review process of the missing areas in the existing learning process enables the complete learning. The validity of the model was verified by six experts. To analyze the effects of the model, students were interviewed. As a result, the modified Moore method can be applied in practice. Therefore, it showed that the self-directed lea rning effect of students is excellent teaching method. 수학교과 영역에서 무어교수법의 자기주도적 학습효과는 매우 높게 평가되고 있다. 하지만 무어교수법은 학생 스스로 선행학습을 수행하는 과정에서 중도탈락 하는 문제점이 지적되었으며, 수업 후 복습하는 과정도 수업과정을 제대로 정리하지 못하면, 해당 교과목을 완전하게 이해하고 학습하는데 어려움이 따르게 되어 학부강의에서는 성공적이 지 못하였다. 본 연구에서는 무어교수법을 학습현장에서 적용하기 위해, 앞에서 제기된 문제점을 플립드 러닝 교수법을 적용하여 해결함으로서, 선행학습 과정과 복습하는 과정에서 효과적인 학습법을 제공하는 변형된 무어교수법 개발을 목적으로 한다. 변형된 무어교수법은 플립드 러닝의 선행단계인 퓨리뷰 과정에서 선행학습을, 수업시간에는 발표와 토론, 교수의 피드백이 이루어지고 수업 후에 촬영된 수업 콘텐츠를 LMS에 모두 업로드 하여 다시 재학습하는 과정에서 학습의 체화를 시키도록 설계한다. 그리고 기존 학습과정에서 부족한 영역에 대해서 리뷰 과정을 통하여 완전학습이 이루어지도록 한다. 모형의 타당도를 위해서 6명의 전문가의 검증을 거치고, 모형의 효과를 분석하기 위해서 학생들과 설문 및 면담을 실시하였다. 그 결과 교수방법의 효과와 만족도가 높게 나타났으며, 토론과 예습 그리고 발표 학습을 통해 충분한 응용능력이 발현되었다. 변형 무어교수법은 실제 수업현장에서 적용가능하며 학생들의 자기주도적 학습효과 가 뛰어난 교수법임을 보여준다.
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신향근 順天大學校 1994 論文集 Vol.13 No.1
작용소행렬 노름(operator matrix norm)과 완전 유계사상(completely bounded map)이 작용소 공간(operator sapce)연구소에서는 중요한 역할을 한다. Z-J. Ruan 이 작용소 공간을 ??-행렬 노름 공간 (??-matricially normed space)으로 추상화한 후 바나흐 공간(Banach space)상의 많은 성질들이 작용소 공간에서도 유사한 형태로 얻어질수 있음이 연구되어지고 있다. 본 논문에서는 힐버트 공간 (column Hilbert space)의 텐서곱에 관한 몇가지 유사 성질을 조사하였다. □In contrast to Banach space theory operator matrix norms and completely bounded maps play a key role in the study of operator spaces, i.e.linear subspace of B(H) for some Hilbert space H.The abstract definition for operator space was given by Z-J.Ruan in [ 9 ].where he characterized the operator space as the norm closed subspace of bounded linear operators on a Hilbert space. Since then , it was investigated that many results in Banach spaces have parallel properties in operator spaces. In this paper we show some related results of the tensor product in column Hilbert space,.which are originated by Z-J.Ruan.
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신향근 順天大學校 師範大學 附屬 科學敎育硏究所 1995 科學과 敎育 Vol.3 No.-
A philosophy of mathematics essentially amounts to an attempted reconstruction in which the chaotic mass of mathematical knowledge accumulated over the ages is given a certain sense or order. A study of the history of mathematics from Greek antiquity to the present reveals that the foundations of mathematics have undergone three profoundly disturbing crises. Mathematics was redefined and rebuilt on the basis of the resolution of these crises. But many attempts to overcome the third crisis couldn't form a united front at the vital spots. There have arisen three main philosophies, or schools of thought, concerning the foundations of mathematics ; so-called logistic, intuitionist, and formalist schools. In this paper we shall very briefly consider these three philosophies, and shall introduce Hilbert's proof theory in his paper ' On the infinite'.
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김운수,신향근 順天大學校 師範大學 附屬 科學敎育硏究所 1997 科學과 敎育 Vol.5 No.-
The goal of this study is to find out a model which makes students come to be self-directed in classified level classes. In this study, we show how to adopt self-directed learning in mathematics classes using classified levels and give criteria and features of dividing levels. The students are classified by their abilities of calculating and understanding in mathematics. The self-directed learning is carried out through the group work, which consists of 4 or 5 students, with discussing and exploratory activities. The most interesting result of this study is that negative attitudes of the students changed into positive attitudes. Another result indicates that self-directed learning is much more efficient and effective than teacher-directed learning in mathematics class. Most prominently, low ability students in classified level classes engaged actively their learning processes with the proposed approach.
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정권수,신향근 順天大學校 師範大學 附屬 科學敎育硏究所 1993 科學과 敎育 Vol.1 No.-
The reform movement in the mathematics education was started by the appearance of the softwares for the personal computer which can carry out not only the numerical calculation but also the symbolic calculation. Since these can solve the almost problems in Calculus, we need to study the effects of the computer in the mathematics education. In this paper, we show the necessity and the methods of the application of computer in Calculus education.
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