• Title/Summary/Keyword: mathematical concepts

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Chinese International Student, Zh$\grave{a}$om$\acute{i}$ng's Learning Process, Using Technology in a University Class of Korea (테크놀로지를 활용한 대학 수업에서 중국국제학생 자오밍의 수학학습과정)

  • Choi-Koh, Sang Sook
    • Journal of the Korean School Mathematics Society
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    • v.18 no.1
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    • pp.61-82
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    • 2015
  • This study investigated the learning process of Chines international student within a technology environment, who was studying in Korea to be well equipped as a math teacher in future. Her activities were observed and guided in a class for pre-service teachers in one university, Kyunggido, in the second semester of 2014. She experienced obstacles such as the lacks of comprehending Korean sentences, Korean math terminologies, mathematical concepts, and fidelities of technology in her learning. She was recovered by bilingual effect, visualization activities, repetition activities, and group activities. There was a learning helper who made her learning possible in a bilingual way. Thus, the bilingual education is crucial for students with multi-cultural background.

A change of cognitive structure of peer teachers and learners through peer learning - focused on figures (또래학습을 통한 또래교사와 또래학습자의 인지구조 변화 -초등 도형영역에 대하여-)

  • Kim, Mijung;Lee, Kwangho;Lee, Mijin;Sung, Changgeun
    • Education of Primary School Mathematics
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    • v.16 no.2
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    • pp.107-122
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    • 2013
  • The purpose of the study is finding the effective teaching and learning methods on the concepts of figures through exploring the change of students' cognitive structures before and after the peer teaching activities. The difference of the peer teacher's and student's cognitive structures was investigated for the activities. Three teams, six students of 5th grade, were selected from the S elementary school in Boyeon. To figure out the students' cognitive structures, pre and post in-depth interviews were conducted and analyzed. Both peer teachers' and learners' cognitive structures were changed. Peer teachers' cognitive structures were changed more positively than peer learners. A consistent systematic planation and continuous teacher support and effort are needed for the activities.

An Analysis on the Contents of Fraction in CA-CCSSM and its Textbook (미국 캘리포니아 주의 CA-CCSSM과 그에 따른 교과서에 제시된 분수 개념에 관한 내용 분석)

  • Lee, Dae Hyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.4
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    • pp.547-574
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    • 2017
  • The purpose of analysis of foreign curriculums and textbooks is to aimed to get the implications for the revision of curriculum, publishment of textbooks and teaching mathematics. In this study, Common Core State Standards and its textbooks was analyzed. The U. S. doesn't have the national mathematics curriculum. So, it can be happen some problems: students' lower mathematical achievement, assessment policy, decision of teaching contents, etc. In 2010, Common Core State Standards was developed by states. Furthermore, The California Department of Education reshaped standards: CA-CCSSM. This study analyzed the contents of fraction in CA-CCSSM and its textbooks. Fraction has many concepts and methods and models in teaching process. This study analyzed the equal parts, introducing fraction concept, the types of fraction, equivalent fractions, comparison of fractions. The conclusions are as follows; The equal parts are the important concept of fraction and introduced in geometry area before teaching of fraction. CA-CCSSM aims to understand a fraction as a number on the number line and represent fractions on a number line diagram. There are some similarity and difference in mixed number, fractions as a division and ratio, equivalent fractions and comparison of fractions between Korean curriculum and textbooks and CA-CCSSM.

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A Fourth Grade Student's Units Coordination for Fractions (단위 조정에 따른 초등학생의 분수 개념 이해 분석)

  • Yoo, Jinyoung;Shin, Jaehong
    • Education of Primary School Mathematics
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    • v.23 no.2
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    • pp.87-116
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    • 2020
  • The purpose of this study is to explore how units-coordination ability is related to understanding fraction concepts. For this purpose, a teaching experiment was conducted with one fourth grade student, Eunseo for four months(2019.3. ~ 2019.6.). We analyzed in details how Eunseo's units-coordinating operations related to her understanding of fraction changed during the teaching experiment. At an early stage, Eunseo with a partitive fraction scheme recognized fractions as another kind of natural numbers by manipulating fractions within a two-levels-of-units structure. As she simultaneously recognized proper fraction and a referent whole unit as a multiple of the unit fraction, she became to distinguish fractions from natural numbers in manipulating proper fractions. Eunseo with a reversible partitive fraction scheme constructed a natural number greater than 1, as having an interiorized three-levels-of-units structure and established an improper fraction with three levels of units in activity. Based on the results of this study, conclusions and pedagogical implications were presented.

Engagement Level Simulator Development for Wire-Guided Torpedo Performance Analysis (선유도어뢰 전술 효과도 분석을 위한 교전수준 모델 개발 연구)

  • Cho, Hyunjin
    • Journal of the Korea Society for Simulation
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    • v.27 no.1
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    • pp.33-38
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    • 2018
  • This paper introduces the simulation concepts and technical approach of wire-guided torpedo performance analysis simulator, as a consequence, provide a framework for understanding overall attack procedures and effectiveness of tactics to torpedo operator. It described the mathematical models of simulation components and weapon engagement principle, especially it derived the closed-form solution of time consumption and leading angle problem of torpedo attack situation based on geographical assumption. In addition, it adopted the proportional navigation guidance at final stage of torpedo attack and also consider the tradeoff relation between target ship speed(propeller noise level) and detection probability, so that it improves the fidelity of physical realism. Simulator is developed with high degree of freedom in the perspective of tactical situation, and it helps user to understand the overall situation and tactical effectiveness.

Analyses of the Domestic Research Trends and Future Research Directions of the Pure Play Internet Banks through Literature Review (문헌분석을 통한 인터넷전문은행에 관한 국내 연구동향 및 향후 연구방향 고찰)

  • Kim, Jae Deog;Ok, Seong-Hwan;Hwang, Kyung Tae
    • Journal of Digital Convergence
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    • v.17 no.7
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    • pp.49-58
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    • 2019
  • Major objective of the study are to analyze the trends of domestic research on pure play internet banks and to propose the future research directions of the ares. To achieve the objectives, this study first summarize the basic concepts and current status of pure play internet banks, establish analysis criteria, and analyze 56 papers based on the criteria. Major research results and future research directions are summarized as follows: non-empirical research should utilize mathematical/conceptual model rather than opinion/guidance, and empirical research should employ secondary data analysis method; in case of the individual level analysis, research on the bank personnel, and on use/outcome of customers should be performed; more organizational level studies should be performed; and in case of societal level research, impact of the pure play internet banks should be analyzed in depth.

Development of a user-friendly training software for pharmacokinetic concepts and models

  • Han, Seunghoon;Lim, Byounghee;Lee, Hyemi;Bae, Soo Hyun
    • Translational and Clinical Pharmacology
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    • v.26 no.4
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    • pp.166-171
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    • 2018
  • Although there are many commercially available training software programs for pharmacokinetics, they lack flexibility and convenience. In this study, we develop simulation software to facilitate pharmacokinetics education. General formulas for time courses of drug concentrations after single and multiple dosing were used to build source code that allows users to simulate situations tailored to their learning objectives. A mathematical relationship for a 1-compartment model was implemented in the form of differential equations. The concept of population pharmacokinetics was also taken into consideration for further applications. The source code was written using R. For the convenience of users, two types of software were developed: a web-based simulator and a standalone-type application. The application was built in the JAVA language. We used the JAVA/R Interface library and the 'eval()' method from JAVA for the R/JAVA interface. The final product has an input window that includes fields for parameter values, dosing regimen, and population pharmacokinetics options. When a simulation is performed, the resulting drug concentration time course is shown in the output window. The simulation results are obtained within 1 minute even if the population pharmacokinetics option is selected and many parameters are considered, and the user can therefore quickly learn a variety of situations. Such software is an excellent candidate for development as an open tool intended for wide use in Korea. Pharmacokinetics experts will be able to use this tool to teach various audiences, including undergraduates.

The Study of Teaching Multiplication (곱셈 지도에 관한 고찰)

  • Kang, Monbong;Kim, Jeongha
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.369-384
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    • 2018
  • Multiplication is able to be described by using repeated addition, a Cartesian product, a scalar operation, rectangular array and area in many various context. Multiplication in various problem situations is learned by various of the teaching method and the order of teaching more than any other mathematical concepts and operations in elementary school. Nevertheless, the context of multiplication leaves further room for improvement. The purpose of this study is to examine the similarities and differences between the conceptual aspects of multiplication through the literature and to analyze the appropriateness of the teaching method and the order of teaching through textbook analysis. As a result of the study, it was found that multiplication of a scalar operation was introduced too early and did not properly reflect of meaning of multiplication as a scalar operation. There is also a need to use the concept of the rectangular array or area as a meaning of multiplication two quantities.

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An Analysis on the Contents of Fractional Operations in CCSSM-CA and its Textbooks (CCSSM-CA와 미국 교과서에 제시된 분수의 연산 내용 분석)

  • Lee, Dae Hyun
    • Education of Primary School Mathematics
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    • v.22 no.2
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    • pp.129-147
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    • 2019
  • Because of the various concepts and meanings of fractions and the difficulty of learning, studies to improve the teaching methods of fraction have been carried out. Particularly, because there are various methods of teaching depending on the type of fractions or the models or methods used for problem solving in fraction operations, many researches have been implemented. In this study, I analyzed the fractional operations of CCSSM-CA and its U.S. textbooks. It was CCSSM-CA revised and presented in California and the textbooks of Houghton Mifflin Harcourt Publishing Co., which reflect the content and direction of CCSSM-CA. As a result of the analysis, although the grades presented in CCSSM-CA and Korean textbooks were consistent in the addition and subtraction of fractions, there are the features of expressing fractions by the sum of fractions with the same denominator or unit fraction and the evaluation of the appropriateness of the answer. In the multiplication and division of fractions, there is a difference in the presentation according to the grades. There are the features of the comparison the results of products based on the number of factor, presenting the division including the unit fractions at first, and suggesting the solving of division problems using various ways.

Effect of flexural and shear stresses simultaneously for optimized design of butterfly-shaped dampers: Computational study

  • Farzampour, Alireza;Eatherton, Matthew R.;Mansouri, Iman;Hu, Jong Wan
    • Smart Structures and Systems
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    • v.23 no.4
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    • pp.329-335
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    • 2019
  • Structural fuses are made up from oriented steel plates to be used to resist seismic force with shear loading resistance capabilities. The damage and excessive inelastic deformations are concentrated in structural fuses to avoid any issues for the rest of the surrounding elements. Recently developed fuse plates are designed with engineered cutouts leaving flexural or shear links with controlled yielding features. A promising type of link is proposed to align better bending strength along the length of the link with the demand moment diagram is a butterfly-shaped link. Previously, the design methodologies are purely based on the flexural stresses, or shear stresses only, which overestimate the dampers capability for resisting against the applied loadings. This study is specifically focused on the optimized design methodologies for commonly used butterfly-shaped dampers. Numerous studies have shown that the stresses are not uniformly distributed along the length of the dampers; hence, the design methodology and the effective implementation of the steel need revisions and improvements. In this study, the effect of shear and flexural stresses on the behavior of butterfly-shaped links are computationally investigated. The mathematical models based on von-Mises yielding criteria are initially developed and the optimized design methodology is proposed based on the yielding criterion. The optimized design is refined and investigated with the aid of computational investigations in the next step. The proposed design methodology meets the needs of optimized design concepts for butterfly-shaped dampers considering the uniform stress distribution and efficient use of steel.