• 한국수학교육학회지시리즈A:수학교육
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• 제49권2호
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• pp.175-198
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• 2010

To understand natural or social phenomena, we need various information, knowledge, and thought skills. In this context, mathematics and sciences provide us with excellent tools for that purpose. This explains the reasons why there is always significant emphasis on mathematics and sciences in school education; some of the general goals in school education today are to illustrate physical phenomena with mathematical tools based on scientific consideration, to encourage students understand the mathematical concepts implied in the phenomena, and provide them with ability to apply what they learned to the real world problems. For the mentioned goals, we extract six fundamental principles for the integrated mathematics and science education (IMSE) from literature review and suggest a instructional design model. This model forms a fundamental of a case study we performed to which the IMSE was applied and tested to collect insights for design and practice. The case study was done for 10 students (2 female students, 8 male ones) at a coeducational high school in Seoul, the first semester 2009. Educational tools including graphic calculator(Voyage200) and motion detector (CBR) were utilized in the class. The analysis result for the class show that the students have successfully developed various mathematical concepts including the rate of change, the instantaneous rate of change, and derivatives based on the physical concepts like velocity, accelerate, etc. In the class, they described the physical phenomena with mathematical expressions and understood the motion of objects based on the idea of derivatives. From this result, we conclude that the IMSE builds integrated knowledge for the students in a positive way.

• 한국학교수학회논문집
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• 제1권1호
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• pp.47-57
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• 1998

This thesis is a research to develop mathematical problems related to every day life, and to apply to mathematical extracurricular activity. The conclusions are as followings; (1) The materials of mathematical extracurricular activity totaling 34 hours' class time were developed and its theaching methods were thought out. (2) Through studying the mathematical problems related to everyday life, we could create a lively atmosphere in the classroom. (3) Through studying the mathematical problems related to everyday life, we could change the learning attitude of students affirmatively and make the students solve the problems for themselves. (4) We could try to build up to the management of mathematical extracurricular activity.

• East Asian mathematical journal
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• 제39권2호
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• pp.167-181
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• 2023

The purpose of this study is to confirm the possibility of whether learning using a math learning platform can be used to expand students' conceptual structure and to consider how to use it. To this end, first-year middle school students studied using a math learning platform. Then, the concept map created was compared and analyzed with the concept map created before learning to examine the change in the concept structure. The results of analyzing the concept map are as follows. First, the change in the hierarchical structure of the concept appeared as the division of the upper concept was subdivided. However, it has also been changed to comprehensively integrate and simplify higher concepts. The term-centered concept structure has changed to content-centered superordinate and subordinate concepts. In the concept structure, subordinate concepts linked to one higher concept were expanded and differentiated. Second, changes in the integrated structure did not form a linkage structure. The expansion of the integrated structure of concepts through learning using the learning platform was influenced by the composition of the learning contents designed in the learning platform.

• 한국기계가공학회지
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• 제15권4호
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• pp.8-15
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• 2016

Most machines lose a lot of energy due to friction. Wear due to friction also reduces performance. Therefore, it is important to reduce friction on the surface to improve energy efficiency and decrease wear. Surface texturing refers to making patterns on the surface for reducing friction. There are many surface texturing methods, such as using lasers, abrasive jet machining, and so on. Recently, mechanical manufacturing methods, such as cutting and grinding, have been highlighted. Among them, the grinding method has the advantage of making patterns in large areas quickly. Therefore, it is appropriate for surface texturing on large machines. This paper is a study on the slope change of the surface texturing pattern using grinding. Therefore, we researched the slopes of the patterns corresponding to "spindle speed and feed rate" and "curvature of workpiece surface" using a mathematical model and experiment. As a result, we made a proper mathematical model concerning our research. Therefore, using the mathematical model in this paper, we could predict the slope change of the pattern according to grinding conditions.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제22권2호
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• pp.91-108
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• 2008

대학수학 학습에서 성공하기 위한 중요한 요인 중의 하나는 학생들에게 강력한 학습동기를 부여하는 것이다. 여기서는 글쓰기 과제가 수학 학습의 동기를 불러일으키고 학생들의 학습태도를 어떻게 변화시킬 수 있는가를 알아보려고 한다. 수업시간에 일어난 또는 의논된, 강의된 내용 중에서 두, 세 개의 가장 중요하다고 여겨지는 주제를 골라 학생들이 보고 느낀 대로 요약하여 친구나 가족 또는 보내고 싶은 사람에게 편지를 쓰도록 하고 편지쓰기 반응과 편지쓰기 결과를 분석하여 편지쓰기 시도가 수학의 저변확대와 수학학습 태도의 긍정적인 변화를 불러오고 나아가 학습능력 향상에 도움을 주는지 알아보고 더 나은 방법을 찾아본다.

• 호남수학학술지
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• 제34권3호
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• pp.391-401
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• 2012

B. C. Berndt has found a transformation formula for a large class of functions, which comes from a transformation formula for a more general class of Eisenstein series. In this paper, using his formula which is 'twisted' by change of variables, we find a class of infinite series identities.

• 충청수학회지
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• 제29권2호
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• pp.221-227
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• 2016

This paper will discuss the huge change of b - separated, b - connectedness, b - disconnectedness and their applications when the definition of b - separated and b - connectedness are small changed.

• 대한수학회논문집
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• 제16권4호
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• pp.567-572
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• 2001

Wurful gave a characterization of those rings R which satisfy that for every ring extension $R{\subset}S$. Ho $m_{R}$(S, -) preserves injective envelopes. In this note, we consider an analogous problem concerning injective covers.

• 대한수학회논문집
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• 제38권3호
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• pp.925-935
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• 2023

In this paper, we consider a boundary value problem for a sixth order difference equation. We prove the monotone behavior of the eigenvalue of the problem as the coefficients in the difference equation change values and the existence of a positive solution for a class of problems.

• 한국수학교육학회지시리즈A:수학교육
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• 제57권3호
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• pp.247-270
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• 2018

The purpose of this study is to investigate the mathematical disposition and mathematical communication level of elementary school students in the process of applying mathematical journal writing activities. For this study, 21 third grade students in elementary school were observed when they participated in mathematical journal writing activities while studying number and operation area. According to the Mathematical disposition pre-test and post-test results, mathematical confidence, mathematical flexibility, mathematical will, and mathematical reflection increased and it was statistically proved. Expression and explanation level of the mathematical communication writing area also increased as the mathematical journal writing activity continued. Thus, mathematical journal writing activities can help to enhance the core competencies of the 2015 revised mathematics curriculum while make students 'to develop and transform mathematical expressions' and 'to express oneself'. Also, it provides implications of including active writing activities such as mathematical journal writing activities into mathematics classroom. Furthermore, the change in mathematical communication level according to mathematical disposition level was not statistically significant. Therefore, when providing active writing activities including mathematical journal writing activities into classroom, it is necessary to understand students' individual characteristics and to encourage communication to be active rather than giving feedback based on one's mathematical disposition level.