• Title/Summary/Keyword: Counter-intuitive

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An Analysis on the Elementary Preservice Teachers' Problem Solving Process in Intuitive Stages (직관적 수준에서 초등 예비교사들의 문제해결 과정 분석)

  • Lee, Dae Hyun
    • School Mathematics
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    • v.16 no.4
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    • pp.691-708
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    • 2014
  • In general, the intuitive knowledge that can use in mathematics problem solving is one of the important knowledge to teachers as well as students. So, this study is aimed to analyze the elementary preservice teachers' intuitive knowledge in relation to intuitive and counter-intuitive problem solving. For this, I performed survey to use questionnaire consisting of problems that can solve in intuitive methods and cause the errors by counter-intuitive methods. 161 preservice teachers participated in this study. I got the conclusion as follows. preservice teachers' intuitive problem solving ability is very low. I special, many preservice teachers preferred algorithmic problem solving to intuitive problem solving. So, it's needed to try to improve preservice teachers' problem solving ability via ensuring both the quality and quantity of problem solving education during preservice training courses. Many preservice teachers showed errors with incomplete knowledges or intuitive judges in counter-intuitive problem solving process. For improving preservice teachers' intuitive problem solving ability, we have to develop the teacher education curriculum and materials for preservice teachers to go through intuitive mathematical problem solving. Add to this, we will strive to improve preservice teachers' interest about mathematics itself and value of mathematics.

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An Analysis on the Mathematical Problem Solving via Intuitive Thinking of the Korean and American 6th Grade Students (한국과 미국 6학년 학생들의 직관적 사고에 의한 수학 문제해결 분석)

  • Lee, Dae Hyun
    • The Mathematical Education
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    • v.55 no.1
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    • pp.21-39
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    • 2016
  • This research examined the Korean and American $6^{th}$ grade students' mathematical problem solving ability and methods via an intuitive thinking. For this, the survey research was used. The researcher developed the questionnaire which consists of problems with intuitive and algorithmic problem solving in number and operation, figure and measurement areas. 57 Korean $6^{th}$ grade students and 60 American $6^{th}$ grade students participated. The result of the analysis showed that Korean students revealed a higher percentage than American students in correct answers. But it was higher in the rate of Korean students attempted to use the algorithm. Two countries' students revealed higher rates in that they tried to solve the problems using intuitive thinking in geometry and measurement areas. Students in both countries showed the lower percentages of correct answer in problem solving to identify the impact of counterintuitive thinking. They were affected by potential infinity concept and the character of intuition in the problem solving process regardless of the educational environments and cultures.

Parrondo Paradox and Stock Investment

  • Cho, Dong-Seob;Lee, Ji-Yeon
    • The Korean Journal of Applied Statistics
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    • v.25 no.4
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    • pp.543-552
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    • 2012
  • Parrondo paradox is a counter-intuitive phenomenon where two losing games can be combined to win or two winning games can be combined to lose. When we trade stocks with a history-dependent Parrondo game rule (where we buy and sell stocks based on recent investment outcomes) we found Parrondo paradox in stock trading. Using stock data of the KRX from 2008 to 2010, we analyzed the Parrondo paradoxical cases in the Korean stock market.

Nonrelativistic Solutions of Morse Potential from Relativistic Klein-Gordon Equation

  • Sun, Ho-Sung
    • Bulletin of the Korean Chemical Society
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    • v.31 no.12
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    • pp.3573-3578
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    • 2010
  • Recently it is suggested that it may be possible to obtain the approximate or exact bound state solutions of nonrelativistic Schr$\ddot{o}$dinger equation from relativistic Klein-Gordon equation, which seems to be counter-intuitive. But the suggestion is further elaborated to propose a more detailed method for obtaining nonrelativistic solutions from relativistic solutions. We demonstrate the feasibility of the proposed method with the Morse potential as an example. This work shows that exact relativistic solutions can be a good starting point for obtaining nonrelativistic solutions even though a rigorous algebraic method is not found yet.

Spatially dependent Parrondo games and stock investments (공간의존 파론도 게임과 주식 투자)

  • Cho, Dong-Seob;Lee, Ji-Yeon
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.5
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    • pp.867-880
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    • 2012
  • Parrondo paradox is the counter-intuitive situation where individually losing games can combine to win or individually winning games can combine to lose. In this paper, we derive the expected profit per trade for each portfolio when we trade stocks everyday under the spatially dependent Parrondo game rule. Using stock data of KRX (Korea Exchange) from 2008 to 2010, we show that Parrondo paradox exists in the stock trading.

Theoretical Study of Trioxane Derivatives as Amphi-ionophores: Importance of Charge-Dipolar Moiety Orientation

  • Cho, Seung Joo
    • Bulletin of the Korean Chemical Society
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    • v.35 no.9
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    • pp.2723-2725
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    • 2014
  • Recently we have reported a novel class of anion receptors which are based on 2n-crown-n topology. Trioxane derivatives are capable of anion sensing through pure aliphatic C-H hydrogen bonding. In this work, we highlight another interesting property, i.e., they can also recognize cations as normal crown ethers (3n-crown-n topology). Since the same functional moiety can recognize anions and cations, these coronands are predicted to be amphi-ionophores. However, we could not detect cations even in the gas phase. Considering trioxane is analogous to [$1_6$]starand, this was rather counter-intuitive. The calculation results show that these coronands can detect alkali metals with very low affinity. The low affinity toward cations should be responsible for this failure of experimental detection. With careful theoretical study, we found that this low affinity toward cations could be explained by the unfavorable charge-dipolar moiety orientations as proposed by Cui et al. As in the case of [$1_6$]starand, this is an example that underscores the importance of charge-dipolar moiety orientation in supramolecular interactions.

The Key role of the Bulge Compactness in Star-forming Activity in Late-type Galaxies

  • Jee, Woong-bae;Yoon, Suk-Jin
    • The Bulletin of The Korean Astronomical Society
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    • v.40 no.2
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    • pp.32.2-32.2
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    • 2015
  • Which mechanism governs star-formation activity in galaxies is still one of the most important, open questions in galactic astronomy. To address this issue, we investigate the specific star formation rate (sSFR) of late-type galaxies as functions of various structural parameters including the morphology, mass, radius, and mass compactness (MC). We use a sample of ~200,000 late-type galaxies with z = 0.02 ~ 0.2 from SDSS DR7 and a catalog of bulge-disk decomposition (Simard et al. 2011; Mendel et al. 2013). We find a remarkably strong correlation between bulge's MC and galaxy's sSFR, in the sense that galaxies with more compact bulge tend to be of lower sSFR. This seems counter-intuitive given that galactic sSFR is driven predominantly by disks rather than bulges and suggests that the central mass density plays a key role in recent star-forming activity. We discuss the physical cause of the new findings in terms of the bulge growth history and AGN activities.

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Measure of Effectiveness Analysis of Passive SONAR System for Detection (수동소나시스템에서 탐지효과도 분석)

  • Cho, Jung-Hong;Kim, Jea-Soo
    • Journal of the Korea Institute of Military Science and Technology
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    • v.15 no.3
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    • pp.272-287
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    • 2012
  • The optimal use of sonar systems for detection is a practical problem in a given ocean environment. In order to quantify the mission achievability in general, measure of effectiveness(MOE) is defined for specific missions. In this paper, using the specific MOE for detection, which is represented as cumulative detection probability(CDP), an integrated software package named as Optimal Acoustic Search Path Planning(OASPP) is developed. For a given ocean environment and sonar systems, the discrete observations for detection probability(PD) are used to calculate CDP incorporating sonar and environmental parameters. Also, counter-detection probability is considered for vulnerability analysis for a given scenario. Through modeling and simulation for a simple case for which an intuitive solution is known, the developed code is verified.

Competition among Firms in Digital Convergence era

  • Yoo, Byung-Joon;Lim, Hyun-Young
    • Management Science and Financial Engineering
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    • v.16 no.2
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    • pp.1-15
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    • 2010
  • Digital convergence which means the convergence of industry areas related to digital technologies is an important phenomenon in business, which will decide the fates of firms in the near future. The only firms which can create synergy effects from digital convergence are expected to be the winners in the fierce competition of digital convergence era. In our analysis, we examine the strategy of an integrated firm which has businesses in two different industry areas which are related to each other. By using a game theoretical model, we show how the integrated firm can win over two single separated firms which have business in only one industry area each by leveraging the two businesses the integrated firm has. In our welfare analysis, we also show that this convergence may be even beneficial to consumers, which seems counter-intuitive to social concerns about anti-competitive behaviors by integrated firms. Additionally, we study comparison between industry convergence and product convergence.

Cooperative effect in space-dependent Parrondo games (공간의존 파론도 게임의 협력 효과)

  • Lee, Jiyeon
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.4
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    • pp.745-753
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    • 2014
  • Parrondo paradox is the counter-intuitive situation where individually losing games can combine to win or individually winning games can combine to lose. In this paper, we compare the history-dependent Parrondo games and the space-dependent Parrondo games played cooperatively by the multiple players. We show that there is a probability region where the history-dependent Parrondo game is a losing game whereas the space-dependent Parrondo game is a winning game.