• Title/Summary/Keyword: Calculus Education

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A Study on the Efficiency of Online Classes -Focused on Various Teaching Methods in College- (언택트시대, 비대면 온라인 수업의 효율성 연구 -대학 수학 수업에서의 다양한 수업기법 활용을 중심으로-)

  • Hong, Ye-Yoon;Im, Yeon-Wook
    • Journal of Digital Convergence
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    • v.19 no.10
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    • pp.63-73
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    • 2021
  • Sudden implementation of online classes in higher education due to Covid19 pandemic implies a lot of worries about academic performance declining. Thus, this paper analyzed a class(CalculusI) taught 100% online which was the same as the offline class before. This class tried to maintain the same quality as the offline one by utilizing various teaching strategies. The result shows the academic achievement level was similar or higher than that of offline class, and so was the students' perception and satisfaction degree. However, this was not just the outcome of online class, but it came from the professor's well-designed teaching plan and smooth operation of the class. It implicates successful teaching methodology is more important factor than such medium difference as online or offline. This study suggests the potential of online classes after the Covid19 pandemic, and expects further studies verify the result in a lot more curricula.

Artificial Intelligence and College Mathematics Education (인공지능(Artificial Intelligence)과 대학수학교육)

  • Lee, Sang-Gu;Lee, Jae Hwa;Ham, Yoonmee
    • Communications of Mathematical Education
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    • v.34 no.1
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    • pp.1-15
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    • 2020
  • Today's healthcare, intelligent robots, smart home systems, and car sharing are already innovating with cutting-edge information and communication technologies such as Artificial Intelligence (AI), the Internet of Things, the Internet of Intelligent Things, and Big data. It is deeply affecting our lives. In the factory, robots have been working for humans more than several decades (FA, OA), AI doctors are also working in hospitals (Dr. Watson), AI speakers (Giga Genie) and AI assistants (Siri, Bixby, Google Assistant) are working to improve Natural Language Process. Now, in order to understand AI, knowledge of mathematics becomes essential, not a choice. Thus, mathematicians have been given a role in explaining such mathematics that make these things possible behind AI. Therefore, the authors wrote a textbook 'Basic Mathematics for Artificial Intelligence' by arranging the mathematics concepts and tools needed to understand AI and machine learning in one or two semesters, and organized lectures for undergraduate and graduate students of various majors to explore careers in artificial intelligence. In this paper, we share our experience of conducting this class with the full contents in http://matrix.skku.ac.kr/math4ai/.

A study on the pedagogical consideration of the related knowledge for teaching 'Approximation' conception (근사개념 지도를 위한 관련 지식의 교수학적 고찰)

  • Chung, Young-Woo;Lee, Mok-Hwa;Kim, Boo-Yoon
    • Communications of Mathematical Education
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    • v.26 no.1
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    • pp.137-154
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    • 2012
  • Approximation' is one of central conceptions in calculus. A basic conception for explaining 'approximation' is 'tangent', and 'tangent' is a 'line' with special condition. In this study, we will study pedagogically these mathematical knowledge on the ground of a viewpoint on the teaching of secondary geometry, and in connection with these we will suggest the teaching program and the chief end for the probable teaching. For this, we will examine point, line, circle, straight line, tangent line, approximation, and drive meaningfully mathematical knowledge for algebraic operation through the process translating from the above into analytic geometry. And we will construct the stream line of mathematical knowledge for approximation from a view of modern mathematics. This study help mathematics teachers to promote the pedagogical content knowledge, and to provide the basis for development of teaching model guiding the mathematical knowledge. Moreover, this study help students to recognize that mathematics is a systematic discipline and school mathematics are activities constructed under a fixed purpose.

Development and Usage of Interactive Digital Linear Algebra Textbook (대화형 수학 디지털교과서 개발과 활용 사례 연구 - 선형대수학을 중심으로-)

  • Lee, Sang-Gu;Lee, Jae Hwa;Park, Kyung-Eun
    • Communications of Mathematical Education
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    • v.31 no.3
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    • pp.241-255
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    • 2017
  • The 4th industrial revolution is coming. In order to prepare for the new learning environment with it, we may need digital mathematics textbooks that fully utilize all possible technologies. So various attempts have been made in elementary and middle school mathematics education. However, despite the importance of higher mathematics, we haven't seen a best possible math digital textbooks yet in Korea. In this paper, we introduce our new model of interactive math digital textbook about Linear Algebra/ Calculus/ Differential Equations/ Statistics/ Engineering Math. Especially, this manuscript focuses on our experience of using digital contents and interactive labs for developing a new model for linear algebra digital textbook. We introduce our works on linear algebra digital textbooks which include pdf e-book, web contents, video clips of lectures, interactive lab. Using this linear algebra digital textbook, students can freely use any mobile devices to access diverse learning materials, lessons, and hands-on exercises without any limitations. Also, times saved in the computation, coding, and typing process can be used to have more discussions for deeper understanding of mathematical concepts. This type of linear algebra digital textbook, which contains all interactive free cyber-lab with codes and all lectures for each sections, can be considered as a new model for the next generation of math digital textbook.

The Convergence Effect of Oral Health Level on Daily Life of Elderly Women (여성노인의 구강건강 수준이 일상생활에 미치는 융합적인 영향)

  • Choi, Jung-Ok;Nam, Seoul-Hee
    • Journal of the Korea Convergence Society
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    • v.8 no.12
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    • pp.209-214
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    • 2017
  • The purpose of this study was to investigate the effect of oral health status on daily life of elderly women. The subjects of this study were 142 elderly women aged 60 years or older who were surveyed through questionnaires, interviews, counseling, and oral examinations. The SPSS program was used for frequency analysis, descriptive statistics and regression analysis. The results of the study showed that the number affected on daily life were 1.4 in average and the oral health condition was the highest at scaling (59.4%). When the oral status was unsatisfactory, it was found to be uncomfortable in daily life. In case of oral pain, oral status and poor removal of calculus, the number and frequency in daily life were increased. In conclusion, the oral health of elderly women can improve their daily life ability and affect the quality of life. Therefore, a systematic oral care plan is needed through the expansion of oral health promotion education for elderly women and the development of continuous preventive programs.

Students' Recognition and Representation of the Rate of Change in the Given Range of Intervals (구간에서의 변화율에 대한 인식과 표현에 대한 연구)

  • Lee, Dong Gu;Shin, Jaehon
    • Journal of Educational Research in Mathematics
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    • v.27 no.1
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    • pp.1-22
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    • 2017
  • This study investigated three $10^{th}$ grade students' concept of rate of change while they perceived changing values of given functions. We have conducted a teaching experiment consisting of 6 teaching episodes on how the students understood and expressed changing values of functions on certain intervals in accordance with the concept of rate of change. The result showed that the students did use the same word of 'rate of change' in their analysis of functions, but their understanding and expression of the word varied, which turned out to have diverse perceptions with regard to average rate of change. To consider these differences as qualitatively different levels might need further research, but we expect that this research will serve as a foundational study for further research in students' learning 'differential calculus' from the perspective of rate of change.

Morbidity of dental caries and periodontal disease based on oral healthcare of adults in Busan (부산시 일부 성인의 구강위생관리습관에 따른 치아우식 및 치주병 이환 경험에 관한 연구)

  • Cha, Ji-A;Yu, Su-Bin;Kim, Hye-Jin
    • Journal of Korean society of Dental Hygiene
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    • v.16 no.1
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    • pp.27-35
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    • 2016
  • Objectives: The purpose of the study was to find out dental caries and periodontal disease based on oral healthcare of adults in Busan. This study will provide the preventive oral healthcare for the periodontal diseases and dental caries. Methods: The study subjects were 369 people from the regular dental health checkup in the general hospital in Busan. After receiving informed consent, a self-reported questionnaire was completed from October 1, 2014 to January 31, 2015. The questionnaire consisted of dental caries and periodontal diseases by direct examination and toothbrushing method. Data were analyzed by ${\chi}^2$ test, Fisher's exact test, and Pearson's correlation. Results: In the morbidity of dental caries and periodontal diseases, the dental caries was most common in those having restored teeth(236 subjects, 64%), while periodontal diseases were found in mild cases of gingival inflammation in 285 subjects(77.2%), and mild cases of dental calculus in 274 subjects(73.4%). Most of the respondents replied that they did not have systemic disease or oral health related symptoms. According to toothbrushing pattern, dental caries experiences were most common in those having less frequent toothbrushing less than 3 minutes and no tongue brushing. The outbreak of dental caries was more common in 5 times than 3 to 4 times a day. Conclusions: The education of the right toothbrushing method and use of dental floss is the most important prevention of dental caries and periodontal disease in the adults.

A study on the improvement of the national dental hygienist practical examination (치과위생사 국가 실기시험 개선 연구)

  • Nam, Yong-Ok;Ju, On-Ju;Kim, Min-Ja
    • Journal of Korean society of Dental Hygiene
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    • v.13 no.2
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    • pp.201-209
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    • 2013
  • Objectives : The purpose of this study was to examine the problems with the current practical examination, to suggest some of the right directions for that and to facilitate the improvement of the exam. Methods : The subjects in this study were the selected professors involving professors in charge of practice and the selected clinical dental hygienists who had ever served as the graders of the national practical exam. Results : A direct practical test was required in the national practical exam (77.3%), and educational facilities(79.2%)(p<0.05). They didn't put confidence in the national practical exam(81.0%) nor viewed the items about the removal and detection of dental calculus as appropriate(58.5%), either. Specifically, the items were considered to be more inappropriate by the professors in charge of practice(74.3%) than by the other professors and clinical dental hygienists(p<0.05). Concerning ways of administering the national exam, the largest group preferred that a professional evaluator should evaluate students in person by visiting their colleges(66.8%). Conclusions : The above-mentioned findings illustrated that both of the dental hygiene professors and the clinical dental hygienists thought the current national dental hygienist practical exam would absolutely be necessary since it exerted a great influence on education and educational facilities, and that the national exam should be improved to gain more confidence, to solve comprehensive problems and to ensure the efficiency of administration.

A Method of Service Reuse using Analysis of Process Similarity and Meta Repository (프로세스 유사도 분석과 메타 저장소를 이용한 서비스 재사용 기법)

  • Hwang, Chi-Gon;Yoon, Chang-Pyo;Jung, Kye-Dong
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.6
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    • pp.1375-1380
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    • 2014
  • SaaS at a cloud computing is a framework to provide a software as a service. Depending on the difference of the tenant and the use, if the service provider re-establish a service, they are required resources In terms of costs and managerial. So we propose a technique for analysis of software structure using the process algebra to reuse existing software. A process algebra analyze the structure of the software, express in different languages and verify that it can be reused. CCS in a process algebra is useful to convert the business process or XML, by using this, we structure a process as process view and propose meta storage for comparison and management a structured document.

Use of ChatGPT in college mathematics education (대학수학교육에서의 챗GPT 활용과 사례)

  • Sang-Gu Lee;Doyoung Park;Jae Yoon Lee;Dong Sun Lim;Jae Hwa Lee
    • The Mathematical Education
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    • v.63 no.2
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    • pp.123-138
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    • 2024
  • This study described the utilization of ChatGPT in teaching and students' learning processes for the course "Introductory Mathematics for Artificial Intelligence (Math4AI)" at 'S' University. We developed a customized ChatGPT and presented a learning model in which students supplement their knowledge of the topic at hand by utilizing this model. More specifically, first, students learn the concepts and questions of the course textbook by themselves. Then, for any question they are unsure of, students may submit any questions (keywords or open problem numbers from the textbook) to our own ChatGPT at https://math4ai.solgitmath.com/ to get help. Notably, we optimized ChatGPT and minimized inaccurate information by fully utilizing various types of data related to the subject, such as textbooks, labs, discussion records, and codes at http://matrix.skku.ac.kr/Math4AI-ChatGPT/. In this model, when students have questions while studying the textbook by themselves, they can ask mathematical concepts, keywords, theorems, examples, and problems in natural language through the ChatGPT interface. Our customized ChatGPT then provides the relevant terms, concepts, and sample answers based on previous students' discussions and/or samples of Python or R code that have been used in the discussion. Furthermore, by providing students with real-time, optimized advice based on their level, we can provide personalized education not only for the Math4AI course, but also for any other courses in college math education. The present study, which incorporates our ChatGPT model into the teaching and learning process in the course, shows promising applicability of AI technology to other college math courses (for instance, calculus, linear algebra, discrete mathematics, engineering mathematics, and basic statistics) and in K-12 math education as well as the Lifespan Learning and Continuing Education.