• Title/Summary/Keyword: 수학 학습 상황

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An Optimal Cluster Analysis Method with Fuzzy Performance Measures (퍼지 성능 측정자를 결합한 최적 클러스터 분석방법)

  • 이현숙;오경환
    • Journal of the Korean Institute of Intelligent Systems
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    • v.6 no.3
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    • pp.81-88
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    • 1996
  • Cluster analysis is based on partitioning a collection of data points into a number of clusters, where the data points in side a cluster have a certain degree of similarity and it is a fundamental process of data analysis. So, it has been playing an important role in solving many problems in pattern recognition and image processing. For these many clustering algorithms depending on distance criteria have been developed and fuzzy set theory has been introduced to reflect the description of real data, where boundaries might be fuzzy. If fuzzy cluster analysis is tomake a significant contribution to engineering applications, much more attention must be paid to fundamental questions of cluster validity problem which is how well it has identified the structure that is present in the data. Several validity functionals such as partition coefficient, claasification entropy and proportion exponent, have been used for measuring validity mathematically. But the issue of cluster validity involves complex aspects, it is difficult to measure it with one measuring function as the conventional study. In this paper, we propose four performance indices and the way to measure the quality of clustering formed by given learning strategy.

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Designing Reward Function for Cooperative Traffic Signal Control at Multi-intersection (다중 교차로에서 협동적 신호제어를 위한 보상함수 설계)

  • Bae, Yo-han;Jang, Jin-heon;Song, Moon-hyuk
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2022.10a
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    • pp.110-113
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    • 2022
  • Nowadays, breaking through the conventional traffic signal control method based on mathematical optimization, artificial intelligence began to be used in the area. In response to this trend, many studies are ongoing to figure out how to utilize AI technology properly for traffic signal optimization. They just simply focus on which method will work well besides lots of machine learning techniques and abandon the reward function engineering. In many cases, the reward function consists of the average delay of the vehicles in the intersection. However, this may lead to AI's misunderstanding about the traffic signal control: what AI regards as a good situation may not be realistic. Even the reward function itself may not meet the service level. Therefore, this study analyzes the problems of previous reward functions and will suggest how to reward function can be enhanced.

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A Study of the Representation in the Elementary Mathematical Problem-Solving Process (초등 수학 문제해결 과정에 사용되는 표현 방법에 대한 연구)

  • Kim, Yu-Jung;Paik, Seok-Yoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.9 no.2
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    • pp.85-110
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    • 2005
  • The purpose of this study is to examine the characteristics of visual representation used in problem solving process and examine the representation types the students used to successfully solve the problem and focus on systematizing the visual representation method using the condition students suggest in the problems. To achieve the goal of this study, following questions have been raised. (1) what characteristic does the representation the elementary school students used in the process of solving a math problem possess? (2) what types of representation did students use in order to successfully solve elementary math problem? 240 4th graders attending J Elementary School located in Seoul participated in this study. Qualitative methodology was used for data analysis, and the analysis suggested representation method the students use in problem solving process and then suggested the representation that can successfully solve five different problems. The results of the study as follow. First, the students are not familiar with representing with various methods in the problem solving process. Students tend to solve the problem using equations rather than drawing a diagram when they can not find a word that gives a hint to draw a diagram. The method students used to restate the problem was mostly rewriting the problem, and they could not utilize a table that is essential in solving the problem. Thus, various errors were found. Students did not simplify the complicated problem to find the pattern to solve the problem. Second, the image and strategy created as the problem was read and the affected greatly in solving the problem. The first image created as the problem was read made students to draw different diagram and make them choose different strategies. The study showed the importance of first image by most of the students who do not pass the trial and error step and use the strategy they chose first. Third, the students who successfully solved the problems do not solely depend on the equation but put them in the form which information are decoded. They do not write difficult equation that they can not solve, but put them into a simplified equation that know to solve the problem. On fraction problems, they draw a diagram to solve the problem without calculation, Fourth, the students who. successfully solved the problem drew clear diagram that can be understood with intuition. By representing visually, unnecessary information were omitted and used simple image were drawn using symbol or lines, and to clarify the relationship between the information, numeric explanation was added. In addition, they restricted use of complicated motion line and dividing line, proper noun in the word problems were not changed into abbreviation or symbols to clearly restate the problem. Adding additional information was useful source in solving the problem.

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Understanding of Percentages of Sixth Grade Students in Elementary School (초등학교 6학년 학생의 백분율 이해에 관한 연구)

  • Lee, Soo Eun;Chong, Yeong Ok
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.2
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    • pp.309-341
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    • 2017
  • This study aims to investigate an approach to teach percentages in elementary mathematics class by analyzing calculating strategies with percentage the students use to solve the percentage tasks and their percentages of correct answers, as well as types of errors with percentages the students make. For this research 182 sixth graders were examined. The instrument test consists of various task types in reference to the previous study; the percentages tasks are divided into algebraic-geometric, part whole-comparison-change and find part-find whole-find percentage tasks. According to the analysis of this study, percentages of correct answers of students with percentage tasks were lower than we expected, approximately 50%. Comparing the percentages of correct answers according to the task types, the part-whole tasks are higher than the comparison and change tasks, the geometric tasks are approximately equal to the algebraic tasks, and the find percentage tasks are higher than the find whole and find part tasks. As to the strategies that students employed, the percentage of using the formal strategy is not much higher than that of using the informal strategy, even after learning the formal strategy. As an insightful approach for teaching percentages, based on the study results, it is suggested to reinforce the meaning of percentage, include various types of the comparison and change tasks, emphasize the informal strategy explicitly using models prior to the formal strategy, and understand the relations among part, whole and percentage throughly in various percentage situations before calculating.

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Designing a Model of Problem Posing focusing on the Analysis of Meaning (의미 분석을 강조한 문제설정 모형 설계하기)

  • Jun, Young Bae;Roh, Eun Hwan;Kim, Dae Eui;Kang, Jeong Gi
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.383-407
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    • 2013
  • As an alternative of making students active and independent under the passive learning conditions in school math classes, many researchers have paid much attention to problem posing and done a lot of research on it. Above all, Brown and Walter proposed What I f Not strategy as a means of problem posing. In this strategy, during the process of posing problems, the transformation of their attributes is inevitably made, and so after problem posing, the process is finished by explaining the problem. But only the simple transformation of attributes could pose wrong problems. It suggests that it is very important to recognize the relationship which leads to organic connection between attributes in order to pose the right problem. However, many other studies of problem posing haven't focused on this fact. Thus, this study tried to design a model of problem posing to help recognize inherent knowledge in the problem and then pose the right problem by adding an activity of meaning analysis. We concretely showed a model of problem posing emphasizing the analysis of meaning by means of an example, thereby examining the meaning of the model. This study expects students to have the chance to understand the true meaning of problem posing and to be active learners after all.

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The Effect of Promoting Motivation through Effort-inducing Instructions and Positive Feedback on Task Performance (노력 유도와 긍정 피드백을 통한 동기 활성화가 과제수행에 미치는 영향)

  • Kwon, Eunjin;Kim, Taehoon;Lee, Yoonhyoung
    • Korean Journal of School Psychology
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    • v.17 no.3
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    • pp.287-306
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    • 2020
  • The purpose of this study was to investigate the effect of motivation promotion on task performance. Unlike most previous studies that have used survey methods, this study examined the effects of motivation promotion on arithmetic and linguistic task performances under experimental conditions. Effort-inducing instructions and positive feedbacks were used to promote participants' motivation. Experiments 1 and 2 examined the effect of effort-inducing instructions and positive feedback on participants' autonomous selection of task difficulty when performing arithmetic and linguistic tasks. The results of the both experiments showed that the experimental group which received effort-inducing instructions and positive feedback chose more difficult task than the control group did. Experiment 3 examined whether motivation promotion enhances task performance and task persistence. The experimental group was more accurate and persistent than the control group. The results of the current study offer experimental evidence suggesting that activating intrinsic motivation through motivation promotion improves attitudes toward tasks and task performance.

Comparison of KSL Curriculum and ESL Curriculum for Adaptation of International Students in the Internet of Things era to Domestic Universities (사물인터넷시대의 유학생의 국내대학 적응을 위한 KSL 교과과정과 ESL 교과과정 비교)

  • Kang, Hyun-Joo;Jeong, Se Ri;Choi, Jang Won
    • Journal of Internet of Things and Convergence
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    • v.7 no.2
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    • pp.21-29
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    • 2021
  • In this study, it is necessary to supplement the Korean language curriculum in order for international students to adapt and settle in Korea in an era where education is being transformed into future education due to the 4th industry. In the KFL (Korean as a Foreign Language) situation encountered by international students, they suffer from difficulties in university mathematics due to communication problems due to lack of language ability, which is one of the stress factors for cultural adaptation in the Korean language education program. To solve this problem, we analyzed ESL programs in English-speaking countries and KSL programs in Korea to set educational goals, curriculum, and educational methods to achieve goals for international students, and to establish curriculum and learning processes. Therefore, the Korean language education program (KSL program) for foreign students in the Korean language curriculum should also be supplemented by accepting the advantages of setting accurate goals for the ESL program and linking it with university graduation in the curriculum of English-speaking countries. In addition, for international students to learn Korean, an integrated Korean language education course and management system using IT suitable for the 4th industrial age is needed.

An Analysis of the Characteristics of Teachers' Adaptive Practices in Science Classes (과학 수업에서 교사의 적응적 실행의 특징 분석)

  • Heekyong Kim;Bongwoo Lee
    • Journal of The Korean Association For Science Education
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    • v.43 no.4
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    • pp.403-414
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    • 2023
  • In this study, we examined the adaptive practices of science teachers in their classrooms and their perspectives on the distinguishing features of these practices within science subjects. Our analysis comprised 339 cases from 128 middle and high school science teachers nationwide, and 199 cases on the characteristics of adaptive practices in science disciplines. The primary findings were as follows: First, the most significant characteristic of adaptive practice in science disciplines pertained to experimental procedures. Within the 'suggestion of additional materials/activities' category, the most frequently cited adaptive practice, teachers incorporated demonstrations to either facilitate student comprehension or enhance motivation. Additionally, 'experimental equipment manipulation or presentation of inquiry skills' emerged as the second most common adaptive practice related to experiments. Notably, over 50% of teacher responses regarding the characteristics of adaptive practices in science pertained to experiment guidance. Second, many adaptive practices involving difficulties experienced by students in learning situations were presented, particularly in areas such as numeracy and literacy. Many cases were related to the basic ability of mathematics used as a tool in science learning and understanding scientific terms in Chinese characters. Third, beyond 'experiment guidance', the characteristic adaptive practices of science subjects were related to 'connections between scientific theory and the real world', 'misconception guidance in science', 'cultivation of scientific thinking', and 'convergence approaches'. Fourth, the cases of adaptive practice presented by the science teachers differed by school level and major; therefore, it is necessary to consider school level or major in future research related to adaptive practice. Fifth, most of the adaptive action items with a small number of cases were adaptive actions executed from a macroscopic perspective, so it is necessary to pay attention to related professionalism. Finally, based on the results of this study, the implications for science education were discussed.

Simulation-based Education Model for PID Control Learning (PID 제어 학습을 위한 시뮬레이션 기반의 교육 모델)

  • Seo, Hyeon-Ho;Kim, Jae-Woong;Park, Seong-Hyun
    • Journal of Convergence for Information Technology
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    • v.12 no.3
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    • pp.286-293
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    • 2022
  • Recently, the importance of elemental technologies constituting smart factories is increasing due to the 4th Industrial Revolution, and simulation is widely used as a tool to learn these technologies. In particular, PID control is an automatic control technique used in various fields, and most of them analyze mathematical models in certain situations or research on application development with built-in controllers. In actual educational environment requires PID simulator training as well as PID control principles. In this paper, we propose a model that enables education and practice of various PID controls through 3D simulation. The proposed model implemented virtual balls and Fan and implemented PID control by configuring a system so that the force can be lifted by the air pressure generated in the Fan. At this time, the height of the ball was expressed in a graph according to each gain value of the PID controller and then compared with the actual system, and through this, satisfactory results sufficiently applicable to the actual class were confirmed. Through the proposed model, it is expected that the rapidly increasing elemental technology of smart factories can be used in various ways in a remote classroom environment.

Error analysis on factorization and the effect of online individualization classes (인수분해에 대한 오류 분석과 온라인 개별화 수업의 효과)

  • Choi, Dong-won;Heo, Haeja
    • Journal of the Korean School Mathematics Society
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    • v.24 no.1
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    • pp.83-105
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    • 2021
  • In this paper, we analyzed the misconceptions and errors incurred during factorization learning. We also examined whether online individualization classes had a positive effect on students' mathematical achievement. The experiment was conducted for 4 weeks (16 times in total) on middle school juniors in rural areas of Gyeonggi Province, where the influence of private extra education was small. In the class, the 'Google Classroom' was used as a LMS, the video lecture was uploaded to YouTube, and the teacher interacted with the students through "Zoom" and "Facetalk". In the online class situation, students' assignments and test answers were checked in real time through 'Google Classroom', and immediate feedback was provided to the experimental class group's students. However, for the control group students, feedback was provided only to those who desired. A total of 7 achievement evaluations were conducted in the order of pre-test, formative evaluation (5 times), and post-test to confirm the change in students' ability improvement and achievement. Through the formative evaluation analysis, it was possible to grasp the types of errors and misconceptions that occured during the factorization process. Students' errors were divided into four types: theorem or definition distortion error, functional errors such as calculation, operation, and manipulation, errors that do not verify the solution, and no response. As a result of ANCOVA, the two groups did not show any difference from the 1st to 4th formative assessment. However, the 5th formative assessment and post-test showed statistically significant differences, confirming that online individualization classes contributed to improvemed achievement.