• Title/Summary/Keyword: Mathematical activities

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The Case study on Analysis of Capstone Design Education based on NCS(National Competencies Standard) Basic workplace skills (NCS직업기초능력에 기반한 종합설계교육 사례 분석에 관한 연구)

  • Jang, Woongeun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.2
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    • pp.483-496
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    • 2018
  • NCS (National Competency Standards) has emerged as an issue of great importance amongst Korean universities and corporations. Although previously used mostly for vocational education purposes at colleges, NCS is currently receiving an increasing amount of attention from 4-year universities as well. In the ever-evolving information economy, the basic workplace skills defined by NCS, which include soft skills such as communication skills, problem-solving skills, and interpersonal skills, have now become more important than specific technical skills. This study analyzes the correlation between the basic workplace skills of NCS with participation in Formula SAE activities, a common component of Capstone design courses across North America and Europe. Data are derived from site visits to Formula SAE competitions, competition-related documents drafted by student participants, and questionnaires administered to student participants at the Formula SAE Lincoln completion and at the Korea KSAE competition. From the study findings, we claim that the basic workplace skills of NCS are closely correlated to participation in Formula SAE activities. Through a survey designed to measure the degree to which Formula SAE activities can enhance an individual's NCS Basic Workplace Skills, we find that these activities overall improved NCS basic workplace skills averaging 4.0 points above in the Likert 5-point scale. For reference the mathematical skills, communication skills, and problem-solving skills displayed statistically significantly correlation with NCS but the remaining 7 skills did not show a statistically strong correlation with NCS comparatively.

A New Approach to Improve Knowledge Sharing Activities at the Organizational Level by Rearranging Members of Current CoPs (실행공동체 멤버 재구성을 통한 조직차원에서의 지식공유 활동 개선 방안 연구)

  • Lee, Su-Chul;Suh, Eui-Ho;Hong, Dae-Geun
    • Information Systems Review
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    • v.13 no.2
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    • pp.1-16
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    • 2011
  • Recently, many companies have started to manage and support CoPs formally at the organizational level because of strategic usability of CoP. These companies are also seeking ways to motivate CoP members to actively participate in their groups. Accordingly, this paper proposes one way of increasing CoP activities by rearranging CoP members. In practice, active CoP members often lead their groups. Therefore, rearranging members can, eventually, be one method to motivate more individuals to participate in CoP activities. This paper first suggests a new approach in order to improve knowledge sharing activities at the organizational level based on rearranging members of current CoPs. Second, a mathematical model is presented which maximizes total BLS (Balanced Level Score) of company A with several constraints. Then a real world problem is changed to a popular problem, VRP to solve this problem. Third, the solution program was developed to find a meaningful solution.

A Case Study of Constructions on Fractals of the Mathematically Gifted (초등수학 영재교육원 학생들의 프랙탈 구성 방법 분석)

  • Kim, Sang-Mee
    • Journal of Educational Research in Mathematics
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    • v.19 no.2
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    • pp.341-354
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    • 2009
  • The purpose of this study is to show the Fractals activities for mathematically gifted students, and to analyze the constructions on Fractals of the mathematically gifted. The subjects of this study were 5 mathematically gifted students in the Gifted Education Institut and also 6th graders at elementary schools. These activities on Fractals focused on constructing Fractals with the students' rules and were performed three ways; Fractal cards, colouring rules, Fractal curves. Analysis of collected data revealed in as follows: First, the constructions on Fractals transformed the ratios of lines and were changed using oblique lines or curves. Second, to make colouring rules on Fractals, students presented the sensitivities of initial and fractal dimensions on Fractals. In conclusion, this study suggested the importance of communication and mathematical approaches in the mathematics classrooms for the mathematically gifted.

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A Note on Some Characteristics of Number Teaching in the Primary School of New Zealand (뉴질랜드 초등학교에서의 수지도에서 나타나는 몇 가지 특징에 관한 고찰)

  • Choi, Chang-Woo
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.843-863
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    • 2010
  • The basic purpose of 2007 revision curriculum is content of activity oriented, management of differentiated instruction, communication, introduction of story mathematics, mathematical exploration and problem solving ability and so on. In this paper, we investigate some characteristics of number teaching in the primary school of New Zealand. Especially, focused on materials and methods and so on. So we've got the following results. First, there are no fundamental differences in materials and methods in teaching number between Korea and New Zealand but in New Zealand there are no national textbook like us so there is a possibility not to teach number systematically like our Korea. On the contrary, they divide number region from one to six level and are offering achievement objects, suggestive learning experiences, sample assessment activities for each level and also they do not guide activities itself in detail like us and so have learners themselves think about the given problems. Second, there is a strategy stage in getting knowledge about number in New Zealand and so children can take advantage of this steps according to the type of problems. Third, it must be developed some materials and idea to reach the learning purpose rousing interest of children.

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Constructing a Competing Risks Model for the Combined Structure with Dependent Relations (종속적 관계를 갖는 혼합구조에 대한 경쟁적 위험모형의 구축)

  • Park, Seonghwan;Park, Jihyun;Bae, Kiho;Ahn, Suneung
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.40 no.3
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    • pp.92-98
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    • 2017
  • The rapid growth of engineering technology and the emergence of systemized and large-scale engineering systems have resulted in complexity and uncertainty throughout the lifecycle activities of engineering systems. This complex and large-scale engineering system consists of numerous components, but system failure can be caused by failure of any one of a number of components. There is a real difficulty in managing such a complex and large-scale system as a part. In order to efficiently manage the system and have high reliability, it is necessary to structure a system with a complex structure as a sub-system. Also, in the case of a system in which cause of failures exist at the same time, it is required to identify the correlation of the components lifetime and utilize it for the design policy or maintenance activities of the system. Competitive risk theory has been used as a theory based on this concept. In this study, we apply the competitive risk theory to the models with combined structure of series and parallel which is the basic structure of most complex engineering systems. We construct a competing risks model and propose a mathematical model of net lifetime and crude lifetime for each cause of failure, assuming that the components consisting a parallel system are mutually dependent. In addition, based on the constructed model, the correlation of cause of failure is mathematically analyzed and the hazard function is derived by dividing into net lifetime and crude lifetime.

A Stochastic Work-Handover Relationship Model in Workflow-supported Social Networks (워크플로우 기반 소셜 네트워크의 확률적 업무전달 관계 모델)

  • Ahn, Hyun;Kim, Kwanghoon
    • Journal of Internet Computing and Services
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    • v.16 no.5
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    • pp.59-66
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    • 2015
  • A stochastic modeling approach as a mathematical method for workflow intelligence is widely used for analyzing and simulating workflow models in the literature. In particular, as a resource-centric modeling approach, this paper proposes a stochastic model to represent work-handover relationships between performers in a workflow-supported social network. Calculating probabilities for the work-handover relationships are determined by two types of probabilities. One is the work-transition probability between activities, and the other is the task assignment probability between activities and performers. In this paper, we describe formal definitions of stochastic workflow models and stochastic work-handover relationship models, as well. Then, we propose an algorithm for extracting a stochastic work-handover relationship model from a stochastic workflow model. As a consequence, the proposed model ought to be useful in performing resource-centric workflow simulations and model-log comparison analyses.

Mathematical model for reactive transport of heavy metals in soil column: Based on PHREEQC and HP1 simulators

  • Tameh, Fatemeh Izadi;Asadollahfardi, Gholamreza;Darban, Ahmad Khodadadi
    • Advances in environmental research
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    • v.6 no.1
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    • pp.67-81
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    • 2017
  • Mining activities play a significant role in environmental pollution by producing large amounts of tailings which comprise heavy metals. The impressive increase in mining activities in recent decades, due to their high influence on the industry of developing countries, duplicates the need for a substantial effort to develop and apply efficient measures of pollution control, mitigation, and abatement. In this study, our objective was to investigate the effect of simulation of the leachate, pH and inflow intensity of transport of $Pb^{2+}$, $Zn^{2+}$, and $Cd^{2+}$ through Lakan lead and zinc plant tailings, in Iran, and to evaluate the modeling efficiency by comparing the modeling results and the results obtained from previous column studies. We used the HP1 model and the PHREEQC database to simulate metals transport through a saturated soil column during a 15 day time period. The simulations assumed local equilibrium. As expected, a lower pH and inflow intensity increased metal transport. The retardation of heavy metals followed the order $Zn^{2+}$ > $Pb^{2+}$ > $Cd^{2+}$ and the removal concentrations of Cd, Pb, and Zn at the inflow intensity critical scenario, and Cd and Pb at inflow acidity critical scenario exceeded the allowable EPA and Iranian's 1053 standard thresholds. However, although the simulation results generally agreed well with the results of the column study, improvements are expected by using multi-dimensional models and a kinetic modeling approach for the reactions involved. The results of such investigations will be highly useful for designing preventative strategies to control reactive transport of hazardous metals and minimize their environmental effects.

A Study on the Development and Application of Family Math Program (가족단위 수학공감 프로그램의 개발 및 운영 연구)

  • Chang, Hyewon;Lim, Miin;Yu, Migyoung;Park, Haemin;Nam, Jihyun;Kim, Hyejin;Lee, Hyewon;Shin, Saeme;Jeong, Jinhwan;Lee, Sangeun
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.427-451
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    • 2018
  • This study aims to develop a family math program that can be experienced by the families in accordance with the 2nd Mathematics Education Comprehensive Plan and to spread the positive attitude and perception of mathematics to the people by applying the family math program for the family units. And this study aims to suggest some concrete ways to develop and apply family math sympathy programs. For this purpose, we developed over 24 activities for math tour, mathematical games, math activities, my home math, historical math, and e-world mathematics, which can be enjoyed by infants and students in the levels of elementary school and secondary school. And we applied these programs to 175 families eight times and surveyed them using a questionnaire. Based on the results, some implications related to the development and application of a family math sympathy program to disseminate a positive culture of mathematics were derived.

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A Mixed-Integer Programming Model for Effective Distribution of Relief Supplies in Disaster (재난 구호품의 효과적 분배를 위한 혼합정수계획 모형)

  • Kim, Heungseob
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.44 no.1
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    • pp.26-36
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    • 2021
  • The topic of this study is the field of humanitarian logistics for disaster response. Many existing studies have revealed that compliance with the golden time in response to a disaster determines the success or failure of relief activities, and logistics costs account for 80% of the disaster response cost. Besides, the agility, responsiveness, and effectiveness of the humanitarian logistics system are emphasized in consideration of the disaster situation's characteristics, such as the urgency of life-saving and rapid environmental changes. In other words, they emphasize the importance of logistics activities in disaster response, which includes the effective and efficient distribution of relief supplies. This study proposes a mathematical model for establishing a transport plan to distribute relief supplies in a disaster situation. To determine vehicles' route and the amount of relief for cities suffering a disaster, it mainly considers the urgency, effectiveness (restoration rate), and uncertainty in the logistics system. The model is initially developed as a mixed-integer nonlinear programming (MINLP) model containing some nonlinear functions and transform into a Mixed-integer linear programming (MILP) model using a logarithmic transformation and piecewise linear approximation method. Furthermore, a minimax problem is suggested to search for breakpoints and slopes to define a piecewise linear function that minimizes the linear approximation error. A numerical experiment is performed to verify the MILP model, and linear approximation error is also analyzed in the experiment.

An Analysis of Instructional Elements on the Equal Sign and Equivalence in Grades 3 and 4 Elementary Mathematics Textbooks (초등학교 3~4학년군 수학 교과서에 제시된 등호 및 동치에 대한 교수·학습 요소 분석)

  • Sunwoo, Jin;Pang, JeongSuk
    • Education of Primary School Mathematics
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    • v.25 no.4
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    • pp.459-475
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    • 2022
  • The equal sign and equivalence are the most basic and core concepts in elementary mathematics, but there has been lack of research on how to teach these concepts with textbooks. Given this, this study analyzed elementary mathematics textbooks in terms of three instructional elements (i.e., emphasizing the meaning of the equal sign as a relational symbol, dealing with an equation as an object for reasoning, and using an equation with a missing value). In particular, this study analyzed 10 different mathematics textbook series that are newly used in 2022 and examined the overall trends and characteristics for teaching the equal sign and equivalence. The results of this study showed that the activities emphasizing the meaning of the equal sign as a relational symbol were most noticeable but the activities dealing with an equation as an object for reasoning or using an equation with a missing value were relatively rare. Based on the results of the analysis, this study provides textbook writers with implications on what to further consider in covering the equal sign and equivalence.