• Title/Summary/Keyword: university mathematics

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Analysis on the Korean Highway in 2011 and 2017 Using Algorithms of Accessibility indices (접근성 지표의 알고리즘을 이용한 2011년과 2017년의 우리나라 고속도로 분석)

  • Lee, Gwangyeon;Park, Kisoeb
    • Journal of the Korea Society for Simulation
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    • v.27 no.4
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    • pp.9-18
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    • 2018
  • This paper proposes new algorithms of accessibility indices to analyze the connectivity of the Korean highway network. First of all, we find a transportation network that presents Korea's highway network in graphs in 2011 and 2017. And we analyze and compare the nation's highway network in 2011 and 2017 using concepts such as associated number, the relative distance, the accessibility, the degree of connectivity, the index of dispersion, the diameter of graph theory. To do this, an algorithm is presented which can easily obtain various accessibility indices from a given transportation network. Using the simulation results of this study, we can find city that is the center of traffic in the highway transportation network. In addition, cities that are included in the network but are relatively underdeveloped can be found and used as basic data for enhancing the connectivity of the nationwide traffic in the future. Moreover, the proposed algorithms of accessibility indices, which are modeled on highway transport networks, can help identify the accessibility space structure of each city and provide criteria for efficient and reasonable selection of alternatives in various regional planning processes, including transportation.

Variable selection for latent class analysis using clustering efficiency (잠재변수 모형에서의 군집효율을 이용한 변수선택)

  • Kim, Seongkyung;Seo, Byungtae
    • The Korean Journal of Applied Statistics
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    • v.31 no.6
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    • pp.721-732
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    • 2018
  • Latent class analysis (LCA) is an important tool to explore unseen latent groups in multivariate categorical data. In practice, it is important to select a suitable set of variables because the inclusion of too many variables in the model makes the model complicated and reduces the accuracy of the parameter estimates. Dean and Raftery (Annals of the Institute of Statistical Mathematics, 62, 11-35, 2010) proposed a headlong search algorithm based on Bayesian information criteria values to choose meaningful variables for LCA. In this paper, we propose a new variable selection procedure for LCA by utilizing posterior probabilities obtained from each fitted model. We propose a new statistic to measure the adequacy of LCA and develop a variable selection procedure. The effectiveness of the proposed method is also presented through some numerical studies.

A New Direction of National Pension System for Aging : Different age insurance premium rate and income replacement rate application (노령화로 인한 국민연금의 새로운 제도 방향: 연령별 차등 보험료율, 소득대체율 적용)

  • Park, Sanghong;Kim, Eunsoo;Park, Yiseul;Lee, Jiyun;Jun, Doobae
    • The Journal of the Convergence on Culture Technology
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    • v.4 no.4
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    • pp.201-206
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    • 2018
  • The fourth fiscal estimate of the national pension following the aging of the population and falling yields estimated that the fund ran out in 2057, three years earlier than the third fiscal calculation. Accordingly, the government proposed a plan to immediately raise the insurance premium rate by 2 percent and maintain the income replacement rate by 45 percent, and to reduce the income replacement rate by 40 percent in 2028. In this form, increasing premiums and reducing income replacement rates will allow younger generations to sign up differently from existing subscribers, who previously had higher income replacement rates at lower rates. Therefore, the study aims to ease the burden on the elderly and younger by applying different insurance rates and income replacement rates for different ages.

The Effect of Problem-based Learning Strategies (PBL) on Problem Solving Skill: A Meta-Analysis. (문제중심학습(PBL)이 문제해결능력에 미치는 효과에 관한 메타분석)

  • Park, Il-Soo
    • Journal of the Korea Convergence Society
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    • v.10 no.10
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    • pp.197-205
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    • 2019
  • The purpose of this research was examining the effects of problem-based learning strategies(PBL) on problem solving skill conducted in Korea, using meta-analysis technique. This meta-analysis reviewed the results of 41 studies published between 1998 and 2017 in Korea. The overall weighted mean effect size value was .753 with .064 standard error which was calculated by random effects model. PBL strategies have been found to be more effective in mathematics course (d=.922), art course (d=.916), practical art course (d=.827), E-PBL (d=.791) and middle school level (d=.972). As PBL exhibit a substantial effect on students' problem solving skill, it is recommended that teachers should learn how to implement these strategies in their lesson. PBL is expected to contribute to the improvement of teaching methods as the learning environment changes during the 4th Industrial Revolution.

The Effects of Middle School Mathematical Statistics Area and Python Programming STEAM Instruction on Problem Solving Ability and Curriculum Interest (중학교 수학 통계 영역과 파이썬(Python) 프로그래밍 융합수업이 문제해결력과 교과 흥미도에 미치는 영향)

  • Lee, Do-Young;Chung, Jong-In
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.20 no.4
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    • pp.336-344
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    • 2019
  • The Ministry of Education (2015) announced the "2015 Revised Curriculum for Elementary and Secondary Schools" and announced that SW (Software) training for elementary and junior high school students to develop Computational Thinking will be gradually introduced from 2018. In addition, 'problem solving' and 'programming' have become important areas. Furthermore, the ability to analyze and utilize big data is becoming more emphasized. We developed and applied the statistical - Python programming convergence curriculum based on the idea that convergence education combining information and mathematics, programming and statistical literacy is needed according to current trends. Before and after the experiment, problem solving ability test and programming / mathematical interest test were conducted and compared with the corresponding sample t-test. According to the analysis results, there were significant differences in the pre- and post-test on problem solving ability, programming interest and mathematical interest at the significance level of 0.05.

A Study on Team Project Learning in Flipped Calculus Classes (대학 미적분학 플립드 수업에서 팀프로젝트 탐구)

  • Min, Sook
    • Communications of Mathematical Education
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    • v.33 no.2
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    • pp.47-66
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    • 2019
  • The purpose of this study is followings. First, we develop and apply teaching and learning methods for conducting team projects in flipped calculus class. Second we collect data such as team reports, individual reviews, and surveys during class activities. Third we survey the impacts on participation in student team activities, advanced studying, communication and collaboration. A total of 120 engineering and science majoring students participated in the 16-week long class study administered in team project learning styles in Spring 2018. There were two characteristics of this class. First students studied concepts and examples with video in pre-class and did the team project learning in the classroom. Second we used Google Drive to record team project progress, and to make sure the instructor to intervene appropriately in team activities. We conducted a team project inside and outside the classroom. This could lead the instructor to advise students and so their participation in team activity increased. As a result, it not only had a good effect on communication and cooperation, but also had an effect on advanced learning.

The Analysis of the Management Efficiency and Impact Factors of Smart Greenhouse Business Entities - Focusing on the Business Entities of Strawberry Cultivation in Jeolla-do - (스마트온실 경영체의 경영 효율성 및 영향요인 분석 - 전라권 딸기 재배 경영체를 중심으로-)

  • Ha, Ji Young;Lee, Seung Hyun;Na, Myung Hwan;Kim, Deok Hyeon;Lee, Hye Lim;Lee, Yong Gyeon
    • Journal of Korean Society for Quality Management
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    • v.49 no.2
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    • pp.213-231
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    • 2021
  • Purpose: This study intends to provide decision-making information to improve efficiency by analyzing the management efficiency of smart greenhouse business entities and identifying factors that affect the efficiency based on input and output. Methods: The subjects of analysis were business entities for cultivating strawberries in smart greenhouses in Jeolla region (northern and southern Jeolla provinces), and the analysis focused on the management performance of the 2019-2020 crop period (year). Data Envelopment Analysis(DEA) was applied as an analysis method for efficiency analysis, Quantile Regression(QR) analysis was applied as a factor affecting the efficiency. Results: The reason for the efficiency gap between business entities was that there were many business entities that did not minimize the input cost at the current level of output, and the area where the variance among business entities was large was the fixed cost per 10a. In the results of the affecting factor analysis, it was found that the seed-seedlings cost, fertilizer cost, other material cost, and employment and labor cost had a negative (-) effect on the efficiency, and that the repair and maintenance cost had a positive (+) effect. Conclusion: Therefore, to achieve the efficiency of scale, it is necessary to reduce the input scale to an appropriate level. In the case of business entities with low efficiency by quartile, the seed-seedlings, fertilizer, and other material costs reduce expenditures, and repair maintenance costs can improve efficiency by increasing expenditures.

The Monte Carlo Simulation and Algorithm on the Relationship Interest Rate Models for the Pricing of Bond Options (채권 옵션의 가격결정을 위한 이자율 모형의 관계에 대한 알고리즘과 몬테 카르로 시뮬레이션)

  • Lee, Gwangyeon;Park, Kisoeb
    • Journal of the Korea Society for Simulation
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    • v.28 no.3
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    • pp.49-56
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    • 2019
  • In this paper, we deal with two pricing of bond options using the relationship between the forward rate model and the Libor rate model. First, we derive a formula for obtaining discounted bond prices using the restrictive condition of the Ritchken and Sankarasubramanian (RS), and then use the volatility function relationship of the forward rate and the Libor rate models to find the analytic solution (AS) of bond options pricing. Second, the price of the bond options is calculated by simulating several scenarios from the presented condition using Monte Carlo Simulation (MCS). Comparing the results of the implementation of the above two pricing methods, the relative error (RE) is obtained, which means the ratio of AS and MCS. From the results, we can confirm that the RE is around 3.9%, which means that the price of the bond options can be predicted very accurately using the MCS as well as AS.

Teachers' understanding of the definition of rational exponent (유리수 지수 정의에 대한 교사 이해 분석)

  • Shin, Bomi
    • The Mathematical Education
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    • v.60 no.1
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    • pp.21-39
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    • 2021
  • The aim of this study was to deduce implications of the growth of mathematics teachers' specialty for effective instruction about the formulae of exponentiation with rational exponents by analyzing teachers' understanding of the definition of rational exponent. In order to accomplish the aim, this study ascertained the nature of the definition of rational exponent through examining previous literature and established specific research questions with reference to the results of the examination. A questionnaire regarding the nature of the definition was developed in order to solve the questions and was taken to 50 in-service high school teachers. By analysing the data from the written responses by the teachers, this study delineated four characteristics of the teachers' understanding with regard to the definition of rational exponent. Firstly, the teachers did not explicitly use the condition of the bases with rational exponents while proving f'(x)=rxr-1. Secondly, few teachers explained the reason why the bases with rational exponents must be positive. Thirdly, there were some teachers who misunderstood the formulae of exponentiation with rational exponents. Lastly, the majority of teachers thought that $(-8)^{\frac{1}{3}}$ equals to -2. Additionally, several issues were discussed related to teacher education for enhancing teachers' knowledge about the definition, features of effective instruction on the formulae of exponentiation and improvement points to explanation methods about the definition and formulae on the current high school textbooks.

An Analysis Study of SW·AI elements of Primary Textbooks based on the 2015 Revised National Curriculum (2015 개정교육과정에 따른 초등학교 교과서의 SW·AI 요소 분석 연구)

  • Park, SunJu
    • Journal of The Korean Association of Information Education
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    • v.25 no.2
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    • pp.317-325
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    • 2021
  • In this paper, the degree of reflection of SW·AI elements and CT elements was investigated and analyzed for a total of 44 textbooks of Korean, social, moral, mathematics and science textbooks based on the 2015 revised curriculum. As a result of the analysis, most of the activities of data collection, data analysis, and data presentation, which are ICT elements, were not reflected, and algorithm and programming elements were not reflected among SW·AI content elements, and there were no abstraction, automation, and generalization elements among CT elements. Therefore, in order to effectively implement SW·AI convergence education in elementary school subjects, we will expand ICT utilization activities to SW·AI utilization activities. Training on the understanding of SW·AI convergence education and improvement of teaching and learning methods using SW·AI is needed for teachers. In addition, it is necessary to establish an information curriculum and secure separate class hours for substantial SW·AI education.