• Title/Summary/Keyword: Logical

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Teaching Diverse Proofs of Means and Inequalities and Its Implications (여러 가지 평균과 부등식을 이용한 대학수학 학습)

  • Kim, Byung-Moo
    • Communications of Mathematical Education
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    • v.19 no.4 s.24
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    • pp.699-713
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    • 2005
  • 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.

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A Note on Teaching of Proof in Middle School Mathematics (중학교 수학에서 증명지도에 관한 연구)

  • 김흥기
    • The Mathematical Education
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    • v.37 no.1
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    • pp.55-72
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    • 1998
  • We prove many statements in middle and high school mathematics, so it is necessary to have some method for understanding the modes of proof. But it is hard to discuss about the modes of proof without knowing logics. Venn-diagrams can be used in a great variety of situations, and it is useful to the students unfamiliar with logical procedure. Since knowing a mode of proof that could be used may still not guarantee success of proof, it is also necessary to illustrate many cases of proof strategies. To achieve the above reguirements, (1)Even though intuition, the modes of proof used in middle school mathematics should be understood by using venn-diagrams and the students can use the right proof in the right statement. (2)We must illustrate many kinds of proof so that the students can get the proof stratigies from these illustrations. (3)If possible, logic should be treated in middle school mathematics for students to understand the system of proof correctly.

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Imputation Methods for the Population and Housing Census 2000 in Korea

  • Kim, Young-Won;Ryu, Jeabok;Park, Jinwoo;Lee, Jaewon
    • Communications for Statistical Applications and Methods
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    • v.10 no.2
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    • pp.575-583
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    • 2003
  • We proposed imputation strategies for the Population and Housing Census 2000 in Korea. The total area of floor space and marital status which have relatively high non-response rates in the Census are considered to develope the effective missing value imputation procedures. The Classification and Regression Tree(CART) is employed to construct the imputation cells for hot-deck imputation, as well as to predict missing value by model-based approach. We compare three imputation methods which include CART model-based imputation, hot-deck imputation based on CART and logical hot-deck imputation proposed by The Korea National Statistical Office. The results suggest that the proposed hot-deck imputation based on CART is very efficient and strongly recommendable.

Relationship between Children's Korean Traditional Music Abilities and Multiple Intelligences (유아의 국악능력과 다중지능간의 관계)

  • Kim, Na-Lae;Kim, Jin-Kyoung
    • Korean Journal of Child Studies
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    • v.30 no.2
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    • pp.195-209
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    • 2009
  • This study analyzed aspects of multiple intelligences related to rhythm, melody, understanding and representation of traditional Korean music. Subjects were 60 4-to 6-years-old children. Instruments were the Children's Korean Traditional Music (KTM) Ability Test (Park 2006)and Korean Multiple Intelligence Development Assessment Scale-My Young Child (MIDAS-MYC, Shearer, 1996). Data were analyzed by correlations and t-test. Findings were that (1) average scores on KTM rhythm and understandings were higher than melody and representation. (2) Traditional rhythm ability correlated most with linguistic intelligence. (3) Multiple intelligences by representation ability for KTM differed significantly in Linguistic intelligence and relationships to Naturalist, Musical, Logical-mathematical, Interpersonal, and Bodily-Kinesthetic intelligences.

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A Study on the Optimized Architectural Space Planning by Searching Algorithm Method (탐색적 방법에 의한 건축공간 배치계획 최적화에 대한 고찰)

  • Lim, Myung-Gu;Kim, Su-Young
    • Journal of The Korean Digital Architecture Interior Association
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    • v.1 no.1
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    • pp.51-58
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    • 2001
  • The purpose of this study is to improve productivity of architectural space planning(A.S.P,) by computer system and to optimize ASP. A searching algorithm is the best way to slave optimized A.S.P. Because architectural design is too many various site situations and client's demands to specify the general solving methods. This method seek the best design case in all possibility and to be modeled as this; $\rightarrow$[$\rightarrow$$\rightarrow$