• Title/Summary/Keyword: Models, educational

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Middle School Mathematics Teachers' Understanding of Division by Fractions (중학교 수학 교사들의 분수나눗셈에 대한 이해)

  • Kim, Young-Ok
    • Journal of Educational Research in Mathematics
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    • v.17 no.2
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    • pp.147-162
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    • 2007
  • This paper reports an analysis of 19 Chinese and Korean middles school mathematics teachers' understanding of division by fractions. The study analyzes the teachers' responses to the teaching task of generating a real-world situation representing the meaning of division by fractions. The findings of this study suggests that the teachers' conceptual models of division are dominated by the partitive model of division with whole numbers as equal sharing. The dominance of partitive model of division constraints the teachers' ability to generate real-world representations of the meaning of division by fractions, such that they are able to teach only the rule-based algorithm (invert-and-multiply) for handling division by fractions.

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An Analysis of Teaching and Learning Methods Focusing on the Representation-Shift of the Functional Context (일차함수 활용문제의 해결을 위한 강의식, 모델링, 과제기반 표현변환 학습의 교수학적 효과 분석)

  • 이종희;김부미
    • Journal of Educational Research in Mathematics
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    • v.14 no.1
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    • pp.39-69
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    • 2004
  • This paper investigates the teaching and learning of Linear function relating functional contexts and suggests the improved methods of representation-shift through this analysis. The methods emphasize the link between students' preacquired knowledge of mathematical representations and the way of using those. This methods are explanatory teaching, teaching and teaming based on modelling perspectives or tasks (interpretation, prediction, translation and scaling). We categorize the 8th grade middle school students' errors on the linear function relating real contexts and make a comparative study of the error-remedial effects and the teaching and teaming methods. We present the results of a study in which representation-shift methods based on modelling perspectives and tasks are more effective in terms of flexible connection of representations and error remediation. Also, We describe how students used modelling perspective-taking to explain and justify their conceptual models, to assess the quality of their models and to make connection to other mathematical representation during the problem solving focusing on the students' self-diagnosis.

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A Study of Variables Related to Item Difficulty in College Scholastic Ability Test (대학수학능력시험 난이도 관련 변인 탐색)

  • 박문환
    • Journal of Educational Research in Mathematics
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    • v.14 no.1
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    • pp.71-88
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    • 2004
  • The purpose of this study was to examine particular variables that play a significant role in the difficulty of math test items in College Scholastic Ability Test (CSAT). The study also aimed to develop a model of measuring the item difficulty. Variables correlated to item difficulty were drawn from the review of the related literature and the analysis of the content and difficulty of the past test items of CSAT. The first instrument was designed by using the correlated variables. According to the results of correlation analysis, the second instrument was made by deleting the variables which showed relatively low correlation with item difficulty and by refining some variables. Several models were proposed by using the revised instrument. The comparison of the R square and cross validity of each model reveals that integrated regression model was the most stable and accurate among the proposed models. The study also showed that statistically significant predictors were choice format, content domain, behavior domain, and the degree of item familiarity in the order of proportion of variance accounted by the predictors. Despite the limited scope of the present research, it can be suggested that its findings provide useful insights into predicting math test item difficulty.

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Mathematical Models that Underlie Computer Simulation of the Trawl Doors for Mid-Water Trawls

  • Gabryuk, Victor Ivanovich;Kudakaev, Vasilii Vladimirovich
    • Ocean and Polar Research
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    • v.42 no.1
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    • pp.77-88
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    • 2020
  • This paper presents the coordinate systems used for trawl doors modeling, and provides matrix equations of connection between these systems. The projections of the forces acting on the door into axes of various coordinate systems were obtained, which were used in the door equilibrium equations. Six equilibrium conditions for the door as a solid were obtained: formulas that allow for the door area in plan to be determined; its weight in water; its mass; three moment equations for determining the position of the warp and backstrops fastening points to the door with triangular and quadrangular backstrop arrangements. It was found that the moment equilibrium equations of trawl doors are generally incompatible, which was not found by any of the authors who have previously conducted research into trawl doors. Using the Kronecker-Capelli theorem, the compatibility equation is obtained. This equation includes the coordinates of the backstrop fastening points to the door, which means that these points cannot be randomly selected. The technique of determining the warp and backstrops' fastening points position to the door is described. Conditions of directional (by angle of attack) and roll (in angle of roll) stability of the doors' equilibrium are presented. The equations presented in this paper comprise a mathematical model that allows, when designing the doors, to select optimal parameters, as well as to carry out adjustments for trawling purposes to ensure the stable movement of the doors and the entire trawl system.

Research on Instructional Design Models for Cross-Cultural Collaborative Online Learning (온라인 국제교류 협력학습 설계모형 탐구)

  • Park, SangHoon
    • Journal of Digital Convergence
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    • v.16 no.10
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    • pp.1-9
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    • 2018
  • The purpose of this study is to examine the concepts and types of cross-cultural collaborative online learning that enhance the utilization of advanced ICT in education and contribute to the promotion of educational exchanges between countries, and suggest exchange learning design models necessary for the active introduction. For this study, previous studies related to cross-cultural collaborative online learning were examined. As a result, cross-cultural collaborative online learning is an educational method based on constructivism that explore and construct knowledge by interacting and collaborating with students, teachers, and field experts who are linguistically and culturally heterogeneous based on advanced ICT. The type of cross-cultural collaborative online learning could be divided into synchronous exchange learning centered on remote video classes and asynchronous exchange learning centered on website based tasks. A PPIE learning design model considering the characteristics of each type is presented.

A Model for the Use of Middle School Rooms by the Community (지역주민(地域住民)의 중학교(中學校) 실(室) 이용(利用)에 관(關)한 모델)

  • Min, Chang-Kee
    • Journal of the Korean Institute of Educational Facilities
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    • v.6 no.2
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    • pp.13-23
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    • 1999
  • This paper seeks to find out the policies of management and layout of middle school rooms for the community people's use. This paper surveys community's needs with respect to both the use of school rooms before, during, and after classes and preferences of use of school rooms. This paper adopts two experimental case studies to find out the models. It uses t-test analysis of the statistics to find out community people's preferences for the use of school rooms between two communities in an urban area, and uses simple and multiple regression analyses to develop models concerning community people's uses of school rooms before, during, and after classes. It also uses cluster analysis to find out the cluster among community people's preference of school rooms. It found, first, that community people's use of school rooms after class can be influenced by the uses of a play ground, a music classroom, an audio visual classroom, and a gymnasium. The use during regular classes is related to the uses of the fine arts classroom, a general classroom, a home economics classroom, a gymnasium, and a playground. The use before class is affected by the uses of a fine arts classroom, a playground, and a library. It also found that, with respect to community people's preferential use of school rooms, the rooms can be clustered as a cluster of laboratories such as a general classroom, a music room, a fine arts classroom, a science classroom, a home economics classroom, and a technique classroom, a cluster of athletic areas such as a gymnasium and a playground, and a cluster of supporting facilities such as a library, an audio visual classroom, and a computer classroom. Those clusters can also be clustered in more detail, i. e., that both a general classroom and playground can be apart from a cluster of laboratories or a cluster of supporting facilities; that an audio visual classroom can be fostered into a cluster with a home economics affairs classroom and a technique classroom. Finally this paper suggests policies of management and layout of school rooms.

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Class-based Analysis and Design to Realize a Personalized Learning System (맞춤형 학습 실현을 위한 클래스 기반 시스템 분석 및 설계)

  • Suah Choe;Eunjoo Lee;Woosung Jung
    • Journal of Industrial Convergence
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    • v.22 no.2
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    • pp.13-22
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    • 2024
  • In the current epoch of educational technology (EdTech), the realization of a personalized learning system has become increasingly important. This is due to the growing diversity of today's learners in terms of backgrounds, learning styles, and abilities. Traditional educational methods that deliver the same content to all learners often fail to take this diversity into account. This paper identifies models that comprehensively analyze learners' characteristics, interests, and learning histories to meet the growing demand for learner-centered education. Based on these models, we have designed a personalized learning system. This system is structured to support autonomous learning tailored to the learner's current level and goals by identifying strengths and weaknesses based on the learner's learning history. In addition, the system is designed to extend necessary learning elements without changing its architecture. Through this research, we can identify the essential foundations for constructing a user-tailored learning system and effectively develop a system architecture to support personalized learning.

Educational Support Activities of Private Organizations to Alleviate the Educational Gap: Focusing on Teach For America in USA and Dream Touch For All in Korea (교육 격차 해소를 위한 민간단체의 교육지원 활동: 미국의 Teach For America와 한국의 Dream Touch For All을 중심으로)

  • Min, Yunkyung;Park, Keunah;Lee, Hae-Nee
    • Korean Journal of Comparative Education
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    • v.28 no.6
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    • pp.85-109
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    • 2018
  • This paper aims to compare the two groups of TFA in U.S. and Dream Touch For All in Korea established with the same goals: 1) goal and core value, 2) qualification and training of teachers, and 3) educational performance. As a result of the analysis, the two groups showed that they focused on the role of teachers to improve the academic achievement of the underprivileged under the goal of solving the inequality of education. However, while TFA in the United States was able to function within public education, Korea's Dream Touch For All played a complementary role in public education. In the case of the United States, it appears to be a 'quasi-open' teacher training system that allows teachers from alternative teacher groups such as TFA to be accepted, while in Korea it shows the character of 'closed teacher training system' to be. For this reason, the two groups showed differences in core value, teacher training, and operating program, and as a result, they also set different educational models.

Obtaining Informed Consent Using Patient Specific 3D Printing Cerebral Aneurysm Model

  • Kim, Pil Soo;Choi, Chang Hwa;Han, In Ho;Lee, Jung Hwan;Choi, Hyuk Jin;Lee, Jae Il
    • Journal of Korean Neurosurgical Society
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    • v.62 no.4
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    • pp.398-404
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    • 2019
  • Objective : Recently, three-dimensional (3D) printed models of the intracranial vascular have served as useful tools in simulation and training for cerebral aneurysm clipping surgery. Precise and realistic 3D printed aneurysm models may improve patients' understanding of the 3D cerebral aneurysm structure. Therefore, we created patient-specific 3D printed aneurysm models as an educational and clinical tool for patients undergoing aneurysm clipping surgery. Herein, we describe how these 3D models can be created and the effects of applying them for patient education purpose. Methods : Twenty patients with unruptured intracranial aneurysm were randomly divided into two groups. We explained and received informed consent from patients in whom 3D printed models-(group I) or computed tomography angiography-(group II) was used to explain aneurysm clipping surgery. The 3D printed intracranial aneurysm models were created based on time-of-flight magnetic resonance angiography using a 3D printer with acrylonitrile-butadiene-styrene resin as the model material. After describing the model to the patients, they completed a questionnaire about their understanding and satisfaction with aneurysm clipping surgery. Results : The 3D printed models were successfully made, and they precisely replicated the actual intracranial aneurysm structure of the corresponding patients. The use of the 3D model was associated with a higher understanding and satisfaction of preoperative patient education and consultation. On a 5-point Likert scale, the average level of understanding was scored as 4.7 (range, 3.0-5.0) in group I. In group II, the average response was 2.5 (range, 2.0-3.0). Conclusion : The 3D printed models were accurate and useful for understanding the intracranial aneurysm structure. In this study, 3D printed intracranial aneurysm models were proven to be helpful in preoperative patient consultation.

Predicting link of R&D network to stimulate collaboration among education, industry, and research (산학연 협업 활성화를 위한 R&D 네트워크 연결 예측 연구)

  • Park, Mi-yeon;Lee, Sangheon;Jin, Guocheng;Shen, Hongme;Kim, Wooju
    • Journal of Intelligence and Information Systems
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    • v.21 no.3
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    • pp.37-52
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    • 2015
  • The recent global trends display expansion and growing solidity in both cooperative collaboration between industry, education, and research and R&D network systems. A greater support for the network and cooperative research sector would open greater possibilities for the evolution of new scholar and industrial fields and the development of new theories evoked from synergized educational research. Similarly, the national need for a strategy that can most efficiently and effectively support R&D network that are established through the government's R&D project research is on the rise. Despite the growing urgency, due to the habitual dependency on simple individual personal information data regarding R&D industry participants and generalized statistical data references, the policies concerning network system are disappointing and inadequate. Accordingly, analyses of the relationships involved for each subject who is participating in the R&D industry was conducted and on the foundation of an educational-industrial-research network system, possible changes within and of the network that may arise were predicted. To predict the R&D network transitions, Common Neighbor and Jaccard's Coefficient models were designated as the basic foundational models, upon which a new prediction model was proposed to address the limitations of the two aforementioned former models and to increase the accuracy of Link Prediction, with which a comparative analysis was made between the two models. Through the effective predictions regarding R&D network changes and transitions, such study result serves as a stepping-stone for an establishment of a prospective strategy that supports a desirable educational-industrial-research network and proposes a measure to promote the national policy to one that can effectively and efficiently sponsor integrated R&D industries. Though both weighted applications of Common Neighbor and Jaccard's Coefficient models provided positive outcomes, improved accuracy was comparatively more prevalent in the weighted Common Neighbor. An un-weighted Common Neighbor model predicted 650 out of 4,136 whereas a weighted Common Neighbor model predicted 50 more results at a total of 700 predictions. While the Jaccard's model demonstrated slight performance improvements in numeric terms, the differences were found to be insignificant.