• 제목/요약/키워드: Mathematical Task

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Integrated Simulation System of GIS and ANN for Land Price Appraisal (GIS 기반 지가산정 및 시뮬레이션 시스템)

  • Moon, Tae-Heon
    • Journal of the Korean Association of Geographic Information Studies
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    • 제3권2호
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    • pp.1-10
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    • 2000
  • The purpose of this study is to develope a parcel-based automatic simulation system of land price through the integration of urban mathematical model and GIS. The appraisal process of public land price by the local government is simple but is a great time-consuming task. Moreover, it doesn't provide any statistical analysis and spatial presentation tools. So, it is difficult for planners or administrative officials to analyze the variation of land price with spatial idea. From these, a system is developed combining two sub-systems, they are ANN(Artificial Neural Network) for the calculation of land price and GIS for visual presentation. Using Matlab application, ANN model was designed having 3-layer structure and was trained with the sample data taken from Chinju city. With the trained network, the impact of 'road', 'parks', 'height control district' and 'beauty district' on land price in 9 regions(dong) are simulated. The results of the simulation were visualized with ArcView GIS. The automatic simulation system operated through the DDE(Dynamic Data Exchange) conversation between two applications. ArcView was set as client and Matlab as server. Scripting in ArcView and customizing a window of ArcView, this system can execute the whole process of simulation by just clicking a button with mouse. As a conclusion, this system was proved to be an effective and easily controllable planning support system for the land price simulation.

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The Effects of Learning Mathematics According to Feedback Method (피드백 방법에 따른 수학 학습의 효과)

  • Seo, Jong-Jin
    • Journal of the Korean School Mathematics Society
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    • 제10권1호
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    • pp.71-89
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    • 2007
  • The present study was investigate the effects of feedback on mathematical achievement and attitude toward mathematics. Referring to the improvement of mathematics achievement, feedback groups(group I and II) turns out to be more efficient than the normal learning group(group III)(p<.05), there found no significant differ between group I and II(p>.05). As for the poor level of mathematics achievement, feedback groups(group I and II) turns out to be more efficient than the normal learning group(group III)(p<.05), there for fine level, found no significant differ between feedback group(group I and II)and the normal learning group(group III)(p>.05). Referring to the improvement of attitude toward mathematics, feedback groups(group I and II) turns out to be more efficient than the normal learning group(group III)(p<.05), there found no significant differ between feedback groups(group I and II)and the normal learning group(group III)(p>.05). As for the level(find or poor) of mathematics achievement, feedback groups(group I and II) turns out to be more efficient than the normal learning group(group III)(p<.05), there found no significant differ between feedback group(group I and II) and the normal learning group(groupIII)(p>.05).

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An Evaluation Method of X-ray Imaging System Resolution for Non-Engineers (비공학도를 위한 X-ray 영상촬영 시스템 해상력 평가 방법)

  • Woo, Jung-Eun;Lee, Yong-Geum;Bae, Seok-Hwan;Kim, Yong-Gwon
    • Journal of radiological science and technology
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    • 제35권4호
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    • pp.309-314
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    • 2012
  • Nowadays, digital Radiography (DR) systems are widely used in clinical sites and substitute the analog-film x-ray imaging systems. The resolution of DR images depends on several factors such as characteristic contrast and motion of the object, the focal spot size and the quality of x-ray beam, x-ray scattering, the performance of the DR detector (x-ray conversion efficiency, the intrinsic resolution). The DR detector is composed of an x-ray capturing element, a coupling element and a collecting element, which systematically affect the system resolution. Generally speaking, the resolution of a medical imaging system is the discrimination ability of anatomical structures. Modulation transfer function (MTF) is widely used for the quantification of the resolution performance for an imaging system. MTF is defined as the frequency response of the imaging system to the input of a point spread function and can be obtained by doing Fourier transform of a line spread function, which is extracted from a test image. In clinic, radiologic technologists, who are in charge of system maintenance and quality control, have to evaluate or make routine check on their imaging system. However, it is not an easy task for the radiologic technologists to measure MTF accurately due to lack of their engineering and mathematical backgrounds. The objective of this study is to develop and provide for radiologic technologists a medical system imaging evaluation tool, so that they can measure and quantify system performance easily.

A Study on Productive Struggle in Mathematics Problem Solving (수학적 문제해결에서 Productive Struggle(생산적인 애씀)에 관한 연구)

  • Kim, Somin
    • Journal of the Korean School Mathematics Society
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    • 제22권3호
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    • pp.329-350
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    • 2019
  • Productive struggle is a student's persevering effort to understand mathematical concepts and solve challenging problems that are not easily solved, but the problem can lead to curiosity. Productive struggle is a key component of students' learning mathematics with a conceptual understanding, and supporting it in learning mathematics is one of the most effective mathematics teaching practices. In comparison to research on students' productive struggles, there is little research on preservice mathematics teachers' productive struggles. Thus, this study focused on the productive struggles that preservice mathematics teachers face in solving a non-routine mathematics problem. Polya's four-step problem-solving process was used to analyze the collected data. Examples of preservice teachers' productive struggles were analyzed in terms of each stage of the problem-solving process. The analysis showed that limited prior knowledge of the preservice teachers caused productive struggle in the stages of understanding, planning, and carrying out, and it had a significant influence on the problem-solving process overall. Moreover, preservice teachers' experiences of the pleasure of learning by going through productive struggle in solving problems encouraged them to support the use of productive struggle for effective mathematics learning for students, in the future. Therefore, the study's results are expected to help preservice teachers develop their professional expertise by taking the opportunity to engage in learning mathematics through productive struggle.

The Effects of STEAM-based Mathematics Class in the Mathematical Problem-solving Ability and Self-efficacy (STEAM 기반 수학 수업이 문제해결력과 자기효능감에 미치는 영향)

  • Lee, GaEun;Choi, JaeHo
    • Journal of Elementary Mathematics Education in Korea
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    • 제21권4호
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    • pp.663-686
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    • 2017
  • The purpose of this study was to identify the effects of convergent approach of mathematics education on students' problem-solving ability and self-efficacy by designing and applying mathematics curriculum based on STEAM. The results are as follows. First, the test results between the two groups did not show any statistically significant difference in terms of problem solving ability, but the experimental group showed a higher average score than the comparative group. Compared with the standard deviation of the experimental group, It can be seen that the level of difference between students is great. This suggests that STEAM-based mathematics lessons have a positive effect on the problem solving ability of low-level students. Second, the results of the self-efficacy t-test of STEAM-based mathematics class showed statistically significant results at a 5% significance level. In the sub-domain, the preference for the difficulty of the mathematics task, except math self-confidence and the math self-regulation efficacy, were statistically significant at a 5% significance level. This study shows that STEAM-based mathematics classes have a positive effect on the students' positive aspects. Through the STEAM program, students learn that mathematics is connected with other fields, and it provides an opportunity to explore on their own, and they more became interested, motivated, and achievement. Also, through the results of the STEAM-based mathematics class, it can be seen that the expressive power and self-confidence are increased by using the non-formal representation outside of the existing formal representation center. The result of this study can be summarized as follows: A STEAM-based mathematics class has a positive effect on problem solving ability and self-efficacy. Therefore, it is interpreted that the application of the STEAM program focusing on mathematics accounts for education effectives.

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A Study on Tracking Control of Omni-Directional Mobile Robot Using Fuzzy Multi-Layered Controller (퍼지 다층 제어기를 이용한 전방향 이동로봇의 추적제어에 관한 연구)

  • Kim, Sang-Dae;Kim, Seung-Woo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • 제12권4호
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    • pp.1786-1795
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    • 2011
  • The trajectory control for omni-directional mobile robot is not easy. Especially, the tracking control which system uncertainty problem is included is much more difficult. This paper develops trajectory controller of 3-wheels omni-directional mobile robot using fuzzy multi-layered algorithm. The fuzzy control method is able to solve the problems of classical adaptive controller and conventional fuzzy adaptive controllers. It explains the architecture of a fuzzy adaptive controller using the robust property of a fuzzy controller. The basic idea of new adaptive control scheme is that an adaptive controller can be constructed with parallel combination of robust controllers. This new adaptive controller uses a fuzzy multi-layered architecture which has several independent fuzzy controllers in parallel, each with different robust stability area. Out of several independent fuzzy controllers, the most suited one is selected by a system identifier which observes variations in the controlled system parameter. This paper proposes a design procedure which can be carried out mathematically and systematically from the model of a controlled system; related mathematical theorems and their proofs are also given. Finally, the good performance of the developed mobile robot is confirmed through live tests of path control task.

An Analysis of Pattern Activities of a Finding Rules Unit in Government-Authorized Mathematics Curricular Materials for Fourth Graders (4학년 수학 검정 교과용 도서의 규칙 찾기 단원에 제시된 패턴 활동의 지도 방안 분석)

  • Pang, JeongSuk;Lee, Soojin
    • Education of Primary School Mathematics
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    • 제26권1호
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    • pp.45-63
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    • 2023
  • The activity of finding rules is useful for enhancing the algebraic thinking of elementary school students. This study analyzed the pattern activities of a finding rules unit in 10 different government-authorized mathematics curricular materials for fourth graders aligned to the 2015 revised national mathematics curriculum. The analytic elements included three main activities: (a) activities of analyzing the structure of patterns, (b) activities of finding a specific term by finding a rule, and (c) activities of representing the rule. The three activities were mainly presented regarding growing numeric patterns, growing geometric patterns, and computational patterns. The activities of analyzing the structure of patterns were presented when dealing mainly with growing geometric patterns and focused on finding the number of models constituting the pattern. The activities of finding a specific term by finding a rule were evenly presented across the three patterns and the specific term tended to be close to the terms presented in the given task. The activities of representing the rule usually encouraged students to talk about or write down the rule using their own words. Based on the results of these analyses, this study provides specific implications on how to develop subsequent mathematics curricular materials regarding pattern activities to enhance elementary school students' algebraic thinking.

A Case Study on the Development of Real-Time Interactive Class Data among Non-face-to-Face Remote Class Types (비대면 원격수업 형태 중 실시간 쌍방향 수업 자료 개발 사례 연구: 고등학교 기하 과목 공간도형 단원의 평면의 결정 요건을 중심으로)

  • Lee, Dong Gun;Ahn, Sang Jin
    • Communications of Mathematical Education
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    • 제35권2호
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    • pp.173-191
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    • 2021
  • This study noted that a survey of teachers in a leading study conducted in Korea during the Pandemics period pointed out that the "real-time interactive" classes account for a significantly small portion of the remote class format. Contentually, the study reported cases of developing and applying "real-time interactive" class materials based on "planar decision requirements" of high school mathematics subject geometry. The teacher who participated in the development was a math teacher who worked at a Seoul-based high school with 28 years of high school teaching experience, and a teacher who was in charge of geometry in the math department in 2020. The development teacher decided to develop real-time interactive classes. In particular, the materials were developed by organizing the class guidance plan in four stages: 'Meeting and Class Guidance', 'Giving motivation', 'Suggesting tasks', 'Individual Investigative Activities and Teacher Feedback' and 'Reflection and Evaluation' which were selected through the process of selecting the class contents and selecting online class tools. At this time, the development teacher produced and presented about five minutes of video material using the videooscribe, a whiteboard animation program. And in case of task number 8, it consisted of recording the students' free thoughts after class, which served as a role of assessment by students themselves and providing feedback to their teachers. This study is a case study that introduces a series of courses in which field teachers develop class materials, and in addition to presenting class materials that can be applied directly to classes, is a result of a study that focuses on the role of presenting samples for future class data development. The materials developed were verified as class materials based on the opinions of the students who participated in the class and the results of the evaluation commissioned by the three math teachers.

Analysis of Activity Tasks of Clothing Life Area in Middle School 「Technology & Home Economics」 Textbooks Based on Multiple Intelligence Teaching-Learning Strategy (다중지능 교수·학습 전략 기반 중학교 「기술·가정」 교과서 의생활 영역의 활동과제 분석)

  • Lee, Ha Rin;Shim, Huen Sup;Chae, Jung Hyun
    • Journal of Korean Home Economics Education Association
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    • 제33권4호
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    • pp.85-101
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    • 2021
  • The purpose of this study was to make suggestions for improvement by analyzing the activity tasks in the clothing life area in middle school 「Technology & Home Economics」 textbooks of the 2015 revised curriculum. For this purpose, the multiple intelligence teaching-learning strategy analysis criteria were reconstructed and used for analysis. The activity tasks of the clothing life area of 「Technology & Home Economics I」 textbooks from 12 different publishers were analyzed based on the reconstructed analysis criteria, and the content validity was verified by 11 experts. The content validity, assessed by CVI was 0.94. According to the results, the logical·mathematical intelligence accounted for the highest proportion with 31.02%, followed by linguistic intelligence(23.81%), visual/spatial intelligence(17.08%), intrapersonal intelligence(14.71%), interpersonal intelligence(5.79%), bodily/kinesthetic intelligence(5.22%), naturalistic intelligence(2.37%), and musical intelligence(0.00%). The results showed that the teaching-learning strategies most frequently implemented in clothing life area were logical/mathematical intelligence, linguistic intelligence, visual/spatial intelligence, and intrapersonal intelligence. On the other hand, teaching-learning strategies related to interpersonal intelligence, bodily/kinesthetic intelligence, and naturalistic intelligence were used at a relatively low proportion. Therefore, it is recommended to expand the teaching-learning strategies of interpersonal, bodily/kinesthetic, naturalistic and musical intelligence, for a more balanced intelligence development of students.

A Study on the Overall Economic Risks of a Hypothetical Severe Accident in Nuclear Power Plant Using the Delphi Method (델파이 기법을 이용한 원전사고의 종합적인 경제적 리스크 평가)

  • Jang, Han-Ki;Kim, Joo-Yeon;Lee, Jai-Ki
    • Journal of Radiation Protection and Research
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    • 제33권4호
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    • pp.127-134
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    • 2008
  • Potential economic impact of a hypothetical severe accident at a nuclear power plant(Uljin units 3/4) was estimated by applying the Delphi method, which is based on the expert judgements and opinions, in the process of quantifying uncertain factors. For the purpose of this study, it is assumed that the radioactive plume directs the inland direction. Since the economic risk can be divided into direct costs and indirect effects and more uncertainties are involved in the latter, the direct costs were estimated first and the indirect effects were then estimated by applying a weighting factor to the direct cost. The Delphi method however subjects to risk of distortion or discrimination of variables because of the human behavior pattern. A mathematical approach based on the Bayesian inferences was employed for data processing to improve the Delphi results. For this task, a model for data processing was developed. One-dimensional Monte Carlo Analysis was applied to get a distribution of values of the weighting factor. The mean and median values of the weighting factor for the indirect effects appeared to be 2.59 and 2.08, respectively. These values are higher than the value suggested by OECD/NEA, 1.25. Some factors such as small territory and public attitude sensitive to radiation could affect the judgement of panel. Then the parameters of the model for estimating the direct costs were classified as U- and V-types, and two-dimensional Monte Carlo analysis was applied to quantify the overall economic risk. The resulting median of the overall economic risk was about 3.9% of the gross domestic products(GDP) of Korea in 2006. When the cost of electricity loss, the highest direct cost, was not taken into account, the overall economic risk was reduced to 2.2% of GDP. This assessment can be used as a reference for justifying the radiological emergency planning and preparedness.