• The Mathematical Education
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• v.48 no.1
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• pp.47-59
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• 2009

Recently our society confronts with the concern over the college students' apparent lack of understanding and interesting of mathematics. In late 1980s the calculus reform movement in US was triggered to increase both passing rates and a general interest in the subject. The purpose of this paper is to investigate teaching of college calculus and its curriculum in order to promote students' interesting and understanding. We deal with 4 questions. Firstly, we research the history and motivation of the calculus reform movement in US. Secondly, we do case study about the debate between reformed and traditional calculus. Then we evaluate the effectiveness of reformed calculus in comparison to traditional calculus. Finally we investigate possible ways to apply reformed calculus in our university mathematics education and suggest some points to improve teaching calculus.

• Journal of Engineering Education Research
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• v.7 no.1
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• pp.5-14
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• 2004

Most Universities in Korea begins the cyber lectures using multimedia which is supported by KRF or University. Recently, the government and universities support also a fund on these cultural contents. However, the effect and result of these lectures don't know anything now. We investigate the effect and point out the problems of the cyber lecture in the Engineering class via questionaire. We also give a suggestion on the solution in this problem.

• Journal of Science Education
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• v.45 no.2
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• pp.257-273
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• 2021

This study explores classes for pre-service mathematics teachers. The purpose of this study is to examine the differences between 'non-face-to-face' classes & 'face-to-face' classes, as well as the differences in learning outcomes between these two methods. A Professors' Learning Group was formed to effectively carry out this study. Through this learning group, we shared how to plan and operate the lecture. The subjects of this study are 'non-face-to-face calculus courses & face-to-face calculus courses' and 'non-face mathematics education theory courses & face-to-face mathematics education theory courses." Specifically, in these two pairs of courses, we analyze the differences in course management and the differences in the outcomes of students' assessments. Non-face-to-face classes were planned, developed, implemented and evaluated based on the 'non-face class design model.' The results of this study are as follows: First, we explored the differences between 'non-face-to-face classes/mixed classes' and 'face-to-face classes.' Second, the achievement results in calculus courses were higher in face-to-face classes than in non-face classes. Third, the results of achievements in mathematics education theory courses were higher in mixed classes than in face-to-face classes. Through the results of this study, we hope that the non-face-to-face class capabilities can be improved in pre-service mathematics teacher training.

• Communications of Mathematical Education
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• v.33 no.2
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• pp.47-66
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• 2019

The purpose of this study is followings. First, we develop and apply teaching and learning methods for conducting team projects in flipped calculus class. Second we collect data such as team reports, individual reviews, and surveys during class activities. Third we survey the impacts on participation in student team activities, advanced studying, communication and collaboration. A total of 120 engineering and science majoring students participated in the 16-week long class study administered in team project learning styles in Spring 2018. There were two characteristics of this class. First students studied concepts and examples with video in pre-class and did the team project learning in the classroom. Second we used Google Drive to record team project progress, and to make sure the instructor to intervene appropriately in team activities. We conducted a team project inside and outside the classroom. This could lead the instructor to advise students and so their participation in team activity increased. As a result, it not only had a good effect on communication and cooperation, but also had an effect on advanced learning.

• Journal of Korean Society of Forest Science
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• v.87 no.3
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• pp.317-327
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• 1998

This study was conducted to find out whether persuasive messages with different contents of information (aesthetic, aesthetic+ecological, aesthetic+ecological+economic, aesthetic+ecological+economic +educational) about the consequences of littering influence users' awareness of the consequences of littering, personal norms and littering behaviors in a recreation setting based on the Schwartz's norm activation theory. Data were collected at the Second Campground in the northern managerial district of Chirisan National Park. Of the total 177 questionnaires distributed, 144(85%) were used for the study. In addition to that, in order to find out whether personal norms on littering were changed from 1994 to 1996, data collected at the same campground in 1994 were also partly used. Based on the result of the study, persuasive messages didn't directly affect the users' level of the awareness of the consequences(AC) of littering, personal norms, and littering behavior. People whose awareness of the consequences of littering are higher, however, tended to have stronger personal norms about littering. And also, people whose awareness of the consequences of littering are higher or people whose personal norms are stronger appeared to litter fewer than people whose awareness of the consequences or the strength of personal norms are lower. The extent of personal norms about littering was not changed through 1994 to 1996. The results were discussed and some management alternatives were suggested.

• School Mathematics
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• v.13 no.1
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• pp.65-88
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• 2011

Epistemological development process of the Fundamental Theorem of Calculus is considered in a history of mathematical notions and the genetic process of the Fundamental Theorem is arranged by the order of geometric, algebraic and formalization steps. Based on this, we studied students' episte- mological obstacles and error and analyzed the content of textbooks related the Fundamental Theorem of Calculus. Then, We developed the "Folding Back Model" of the fundamental theorem of calculus for students to lead meaningful faithfully. The Folding Back Model consists of "the Framework of thou- ght"(figure V-1) and "the Model of genetic understanding of concept"(figure V-2). The framework of thought in the Folding Back Model is included steps of pedagogical intervention which is used "the Monitoring working questions"(table V-3) by the mathematics teacher. The Folding Back Model is applied the Pirie-Kieren Theory(1991), history of mathematical notions and students' epistemological obstacles to practical use of instructional design. The Folding Back Model will contribute the professional development of mathematics teachers and improvement of thinking skills of students when they learn the Fundamental Theorem of Calculus.

• 한국정보교육학회:학술대회논문집
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• 2005.08a
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• pp.238-245
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• 2005

우리 생활 속에서 항상 존재하고 있는 색채의 중요성을 생각해 볼 때 색채 교육은 매우 중요한 일이다. 본 연구에서는 색채 지도 내용을 재구성하여 생활에서 활용할 수 있는 색채 감각을 신장시킬 수 있는 웹 형태의 색채 학습 시스템을 설계하였다. 인터넷을 이용하여 색채에 대한 지식과 함께 미적체험, 표현 감상에 관하여 학습하고 시스템에서 다양한 표현 활동 및 상호 작용 학습을 실행함으로써 효과적인 색채 학습이 가능하도록 시스템을 구성하였다. 이 시스템에서의 학습 단계는 여러 가지 색, 색의 느낌, 색의 배색, 색의 속성, 색의 이미지, 색과 생활이라는 큰 단위의 6가지 학습 단계를 가지고 있고 각 단계 별로 미적체험, 표현, 감상 의 단계를 거치면서 학습할 수 있도록 설계하였다.

• School Mathematics
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• v.19 no.1
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• pp.171-187
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• 2017

To engineering students, calculus is essential knowledges and skills as a mathematical model and give a perspective to observe phenomenon in the future industrial field. However, engineering students' calculus study tends to solve problems by only applying the mechanical calculation and mathematical results. This study aimed to make engineering students realize the importance of calculus and untypical problems, by suggesting problems that could apply the mathematical concepts and principles and even solve the actual conditions of the problems. Students conjectured the anti-derivative graphs by interpreting the given derivate problems. They showed errors in this process and the errors are contributed by their mathematics leaning styles. As a result, the task would be helpful to engineering students.

• The Journal of Korean Association of Computer Education
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• v.4 no.2
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• pp.105-114
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• 2001

This paper illustrates a calculus module which generates step-by-step solutions using J/Link that connects Java and Mathematica. Such a module provides intermediate and low level students with a practical environment where they can easily follow the solution paths on their own paces. The extra feature of this module depicts graphical images for a given function and its differentiated result to enhance the visual understandings of calculus concepts. Mathematica as a mathematical expert system that provides systematic mathematical knowledge to students with step-by-step solutions will be possibly extended to the tutorial or CMI development. The proposed module is implemented in a Java servlet that links to Mathematica FrontEnd. This approach results in adopting font systems to express two dimensional mathematical expressions in web documents as an alternative typesetting tool.

• School Mathematics
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• v.5 no.4
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• pp.521-540
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• 2003

The processes of mathematics development and the results of it are always those of making a conquest of the circumscription by historical inevitability within the historical circumscription. It is in this article that I try to show this processes through the history of calculus. This article develops on the basis of the dialectical materialism. It views the change and development as the facts that take place not by individual subjective judgments but by social-historical material conditions as the first conditions. The dialectical materialism is appropriate for explaining calculus treated in full-scale during the 17th century, passing over ahistorical vacuum after Archimedes about B.C. 4th century. It is also appropriate for explaining such facts as frequent simultaneous discoveries observed in the process of the development of calculus. 1 try to show that mathematics is social-historical products, neither the development of the logically formal symbols nor the invention by subjectivity. By this, I hope to furnish philosophical bases on the discussion that mathematics teaching-learning must start from the real world.