• Communications of Mathematical Education
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• v.21 no.3
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• pp.527-540
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• 2007

It takes much of times and efforts for mathematical knowledge to be regarded as truth. Mathematical knowledge has been added, and modified, and even proved to be false. Mathematical knowledge consists of mathematical languages, statements, reasonings, questions, metamathematical views. These elements have been changed constantly by investigations and refutations of mathematicians, by modification of proofs considering the refutations, by introduction of new concepts, by additions of questions about new concepts, by efforts to get answers to new questions, by attempts to apply previous studies to the present, constantly. This study introduces the change of mathematical knowledge instituted by filcher, and presents examples of the change.

• Honam Mathematical Journal
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• v.27 no.3
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• pp.515-523
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• 2005

We investigate change of the connection induced by the conformal change in 8-dimensional g-unified field theory. These topics will be studied for the second class with the first category in 8-dimensional case.

• Journal of the Korean School Mathematics Society
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• v.3 no.2
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• pp.37-46
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• 2000

This study is to analyze the mathematical, affective attitude and inclination which have already been formed in the learners and to find what kinds of changes occur in the mathematical, affective attitude and inclination after the student-centered multimedia classes in which students present and discuss the questions of their own making. The purpose of this study is to find 1. Can we change the mathematical, affective attitude and inclination which have already been formed in the learners\ulcorner 2. If we can, how further can we change them\ulcorner To find a solution to these questions, I have transformed, to meet the purpose of this study, the questions which have already been approved and have used them. As a result of it, there has been a considerable change in the mathematical, affective attitude and inclination of the students about some questions.

• Bulletin of the Korean Mathematical Society
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• v.41 no.4
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• pp.731-737
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• 2004

We investigate change of the tensor ${U^{v}}_{\omega\mu}$ induced by the conformal change in 7-dimensional g-unified field theory. These topics will be studied for the second class with the first category in 7-dimensional case.

• Bulletin of the Korean Mathematical Society
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• v.38 no.1
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• pp.197-203
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• 2001

We investigate change of the torsion tensor $S_\omega\mu^\nu$ induced by the conformal change in 7-dimensional g-unified field theory. These topics will be studied for the second class with the first category in 7-dimensional case.

• The Mathematical Education
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• v.41 no.2
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• pp.189-202
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• 2002

Problem-centered learning reflects learning strategy based on constructivism. In this learning, students should find the solution in a small group discussion, and share their solutions with classmates in whole class discussion. So students participate in mathematics instruction actively and interact with other students about the strategies. We expect students would change their attitudes on mathematics and mathematical learning in these processes. In this study, we analyzed students' attitudes on mathematics and mathematical learning when they participated the problem-centered learning program. We found the change of students' attitudes to mathematics via problem-centered learning.

• East Asian mathematical journal
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• v.16 no.2
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• pp.339-354
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• 2000

• East Asian mathematical journal
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• v.16 no.2
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• pp.183-197
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• 2000

• Journal of the Korean Mathematical Society
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• v.10 no.2
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• pp.89-91
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• 1973

• Journal of the Chungcheong Mathematical Society
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• v.27 no.2
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• pp.249-260
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• 2014

Cameron and Storvick discovered a change of scale formula for Wiener integral of functionals in a Banach algebra $\mathcal{S}$ on classical Wiener space. We express the analytic Feynman integral of cylinder function as a limit of Wiener integrals. Moreover we obtain the same change of scale formula as Cameron and Storvick's result for Wiener integral of cylinder function. Our result cover a restricted version of the change of scale formula by Kim.