• Communications of Mathematical Education
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• v.23 no.3
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• pp.823-848
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• 2009

In this paper, we try to find improved solutions for problems with general mathematics education courses. We suggest effective management strategies and teaching-learning methods by level-based classes with utilizing students survey and scholastic level assessment, and management of Mathematics Cafe and its homepage, and also setting example classes for assignments on the Webwork system and evaluating the class.

• Communications of Mathematical Education
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• v.29 no.4
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• pp.745-762
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• 2015

In order to examine the change in mathematical inclinationn of middle level engineering college freshmen, we analyse the change of mathematical inclination between 2011 year and 2015 year freshmen who took college scholastic ability test which are based on the national mathematics curriculum 7th and 7th revision, respectively. In medium-sized D university, 2011 year and 2015 year engineering freshmen were taken the test for mathematical inclination, the survey for mathematical background and the recognition of college mathematics and basic mathematical ability test. The outcomes of this survey are followings: Firstly, between 2011 year and 2015 year freshmen, the mean of confidence and flexibility are same, but the 2015's mean of willpower, curiosity, value and esthetics are greater than 2011's. Secondly, in the mean of flexibility, willpower and curiosity, natural science's mean is greater than humanity's. Thirdly, the mean of mathematical inclination's factors is depend on college mathematics goal. Fourthly, there is little correlation between mathematical basic ability and mathematical inclination. Moreover for 2011 year and 2015 year freshmen, the mean of mathematical inclination's factors except value is proportional to mathematical basic ability. For the success of college mathematics in engineering college, this study suggests that high school mathematics curriculum and college scholastic ability test must contain calculus. We also suggest that college mathematics class must be focused on mathematical inclination improvement.

• Communications of Mathematical Education
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• v.13 no.2
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• pp.535-547
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• 2002

본 논문은 교육현장에서 자바(Java)를 이용한 수치계산 애플릿(Applet)을 개발할 경우 수식을 인식하여 그 결과를 실행하고 보여주는 심볼릭 연산을 구현하기 위한 알고리즘 개발과 다양한 입력식을 처리하기 위한 효율적인 자료구조를 제안한다. 구현된 패키지내의 클래스는 변수와 상수, 다양한 연산자를 처리하기에 적합하며 분석된 정보를 통해 사칙연산의 처리, 연산자 우선순위의 처리, 심볼릭 연산, 다항식, 방정식, 함수의 그래프 작성, 간단한 미적분 처리를 하는 알고리즘을 제안한다.

• Journal of Digital Convergence
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• v.19 no.1
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• pp.1-10
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• 2021

The purpose of the study is to investigate the impact and analyze the effect of smart learning based class to on the students with low academic achievement level. The study performed in G University in 2018 among students taking calculus II class. It includes 16 students with low academic achievement level, whose grades were under C in the previous calculus I class. They belonged to special class consisted of very low academic achievement level and had to pass calculus II. 3D and AR were actively used in the class. The result shows that they got visual understanding of space, which revealed through analyzing SNS, mid-term and final examination, lecture evaluation. Also, smart learning based mathematics class utilizing smartphone's application elevated academic achievement level and influenced positively on the interest and attitude toward mathematics regardless of previous academic achievement level.

• Communications of Mathematical Education
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• v.37 no.3
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• pp.467-482
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• 2023

In this paper, we present our new teaching and learning materials on gradient descent method, which is widely used in artificial intelligence, available for college mathematics. These materials provide a good explanation of gradient descent method at the level of college calculus, and the presented SageMath code can help students to solve minimization problems easily. And we introduce how to solve least squares problem using gradient descent method. This study can be helpful to instructors who teach various college-level mathematics subjects such as calculus, engineering mathematics, numerical analysis, and applied mathematics.

• Sijohaknonchong
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• v.23
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• pp.107-131
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• 2005

The purpose of this is to make sure what the scholar of the Choseon thought the object of aesthetics, and which psychological element did they use to clear the center of the aesthetics. In addition, I consider their way to recognize the human's aesthetic point of view. A literary man in Choseon regarded the five senses as an obstacle which interrupted to see the nature of all things. So they set up the spiritual condition as their aesthetic subject, with suppressing the pleasure through five senses. The goal to make one's mind calm was to cause someone's spirit to activate freely. The condition of the calmness was considered as a process of recovering the human's natural spirit, which was connected to the poetic spirit and became the aesthetic subject. Simultaneously, a literary man at that time set up the condition of the calmness as a subject of objective consciousness, and estimated the common things as a objective existence, which led to the result that all the materials of the poem and the poet could be unified. This aesthetic centra put a premium on the senses caused by contacting with all natural things, and adopted the 'Xing' as a method of expression. This 'Xing' is not a sense based upon one's experience, but a sense which is created of itself. The expression method of 'Xing' caused the reader to feel and express, encourage, and sublimate what they feel through the poem, as well as purified reader's mind.

• Communications of Mathematical Education
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• v.28 no.4
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• pp.457-474
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• 2014

Recently, with the development of technology, intuitive understanding of abstract mathematical concepts through visualizations is growing in popularity within college mathematics. In this study, we introduce free visualization tools developed for better understanding of topics which students learn in Calculus. We visualize important concepts of Calculus as much as we can according to the order of most Calculus textbooks. In this process, we utilized a well-known, free mathematical software called GeoGebra. Finally, we discuss our experience with visualizations in Calculus using GeoGebra in our class and discuss how it can be effectively adopted to other university math classes and high school math education.

• Proceedings of the Korea Contents Association Conference
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• 2008.05a
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• pp.743-748
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• 2008

Design is objective and universal human aesthetic activity. Design originally began with the purpose 'to make public's life abundant and increase their quality of living." However, design education has bee developed to foster human resource to maximize production of company in the name of 'important production method for company.' Therefore, common people has been had many opportunities to learn about design. General people could not be satisfied their demand to learn about design due to narrow opportunities. Public has had resistance feeling for design that it has been exclusively occupied by certain designers. Therefore, it is urgent to expand the object of design education and change the contents which have been focused on fostering design professionals. This research examined about the goal of public design education (self-expression, enjoying quality of life, culture, and wisdom of living) as a way to increase our life quality by recognizing the need of public design education based on various social phenomena which strongly shows people's desire to pursue aesthetic life.

• Journal for History of Mathematics
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• v.19 no.4
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• pp.31-62
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• 2006

In this article, the theoretical basis of applying mathematical his tory in lessons is inquired in various educational aspects. It also covers the psychological genetic principle, mainly concerning the childish development and states that it has to be compatible with the historico-genetic principle, which is suggested mainly concerning the development of data. In addition, it evolves the arguments about the meaning of mathematical history in math lessons based on the mentioned aspects besides that in ordinary math lessons. Next, the link between the apply of mathematical history and education for gifted children is examined. Last, cases of mathematic history applied to mathematic education is suggested mainly concerning the understanding of differential concepts.

• Journal of the Korean School Mathematics Society
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• v.18 no.2
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• pp.223-240
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• 2015

This paper deals with how to design and develop white-box based e-learning contents which are equipped with conceptual understanding and step-by-step computational procedures for studying vector calculus for science-engineering majors who might need supplementary mathematics learning. Noting that rewriting rules are often used in school mathematics for students' problem solving, the theoretical aspects of rewriting rules are reviewed for developing supplementary e-learning contents for them. The software design of step-by-step problem solving requires careful arrangement of rewriting rules and pattern matching techniques for white-box procedures using a computer algebra system such as Mathematica. Several modules for step-by-step problem solving as well as producing dynamic display of e-learning contents was coded by Mathematica in order to find the length of a curve in vector calculus after implementing several rules for differentiation and integration. The developed contents are equipped with diagnostic modules and immediate feedback for supplementary learning in terms of a tutorial. At the end, this paper indicates the strengths and features of the developed contents for college students who need to increase math learning capabilities, and suggests future research directions.