Communications of Mathematical Education (한국수학교육학회지시리즈E:수학교육논문집)
- Volume 19 Issue 4 Serial No. 24
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- Pages.699-713
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- 2005
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- 1226-6663(pISSN)
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- 2287-9935(eISSN)
Teaching Diverse Proofs of Means and Inequalities and Its Implications
여러 가지 평균과 부등식을 이용한 대학수학 학습
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Kim, Byung-Moo
(Dept. of General Arts, Chungju National University)
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김병무
(충주대학교)
- Published : 2005.11.01
Abstract
In this paper, we attempted to find out the meaning of several means and inequalities, their relationships and proposed the effective ways to teach them in college mathematics classes. That is, we introduced 8 proofs of arithmetic-geometric mean equality to explain the fact that there exist diverse ways of proof. The students learned the diverseproof-methods and applied them to other theorems and projects. From this, we found out that the attempt to develop the students' logical thinking ability by encouraging them to find out diverse solutions of a problem could be a very effective education method in college mathematics classes.