• Title, Summary, Keyword: function concept

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Historical investigation in the concept of function as integrated concept (통합개념으로서 함수 개념에 대한 역사적 고찰)

  • Kang, Hyun-Young
    • Journal for History of Mathematics
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    • v.20 no.4
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    • pp.153-174
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    • 2007
  • The concept of Function is not just a single concept but an integrated concept that includes various mathematic topics such as arithmetics, geometry and so on. Therefore, the concept of function is the basic principal underlying mathematics. Moreover, we should think of function as conceptual expedient for understanding the phenomena in the variously changing real world. Therefore in this article, I would like to consider the concept of an integrated function through historical investigation. Especially, from the middle ages to the 19th century, representation which related to the function has been evolved, and therefore, I will consider function as an integrated concept through changing the concept of function.

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Mathematical and Pedagogical Discussions of the Function Concept

  • Cha, In-Sook
    • Research in Mathematical Education
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    • v.3 no.1
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    • pp.35-56
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    • 1999
  • The evolution of the function concept was delineated in terms of the 17th and 18th Centuries' dependent nature of function, and the 19th and 20th Centuries' arbitrary and univalent nature of function. According to mathematics educators' beliefs about the value of the function concept in school mathematics, certain definitions of the concept tend to be emphasized. This study discusses three types - genetical (dependence), logical (settheoretical), analogical (machine/equations) - of definition of function and their values.

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Phenomenology of the concept of functions (함수 개념의 현상학)

  • Yoo, Yoon-Jae
    • Journal for History of Mathematics
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    • v.23 no.3
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    • pp.75-90
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    • 2010
  • In this paper function concept is classified in the phenomenological aspect. According to the study, function concept is classified as causality, designation, operation, change, figure, morhism, variables, functional, and operator. This classifications are categorized as pre-level function, basic level function, and upper level function.

The concept Analysis of Physical Activity (신체활동(Physical activity)의 개념분석)

  • Choi, Jung-An;Choe, Myoung-Ae
    • Journal of Korean Biological Nursing Science
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    • v.6 no.1
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    • pp.17-31
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    • 2004
  • The purpose of this study was to analyze the concept of physical activity. The method was based on the steps of concept analysis by Walker and Avant(1988). The result of this study were as follows; Upon the concept analysis, physical activity is defined as a series of bodily movements which is performed voluntarily by individual. The defining attributes of physical activity were a series of bodily movements, energy expenditure, goal-directedness, and self-control of the body. The antecedents of physical activity were neuromusculoskeletal function, cardiopulmonary function and cognitive function. And the consequences of physical activity were improvement of physical function, induction of fatigue, and need(physiopsychosocial) satisfaction. Further studies are needed to develop the concept of physical activity using the Hybrid model. In addition, considering personal characteristics it is important to study the facilitating factors of physical activity.

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A Study on the instruction of function concept in school mathematics (학교수학에서의 함수 개념 지도 방법에 관한 고찰)

  • 강윤수;정성현;강덕심
    • Journal of Educational Research in Mathematics
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    • v.8 no.1
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    • pp.381-403
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    • 1998
  • As a researcher engaged in the mathematical education, mathematics teachers are interested in instructional methods. While it is unlikely that the viewpoints of individual mathematics teachers are reflected in making decisions on instructional purposes and instructional contents, a good many parts of instructional methods on mathematical facts are decided by individual teachers. This means that the role of mathematics teachers is given much weight in the mathematical education. Therefore, the mathematics teachers must not be excluded in all parts of the study of mathematical education. We studied the instructional methods of function concept, a central topic in school mathematics from the following perspectives. First, we examined the characteristics of the three(correspondence-centered, middle, dependence centered) viewpoints about the essence of function concept. And we should that which of them should be the viewpoint of instruction of function concept in school mathematics. Second, we investigated the questions regarding the process of function instruction in school mathematics and presented alternative instruction methods of function concept to solve the questions. Third, we postulated the importance of polynomial function, relating college mathematics in order to present the reason why the polynomial function is importantly treated in functional instruction of school mathematics.

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A Study on Teachers' Knowledge of Mathematics -With Respect to the Concept of Function- (교사의 수학적 지식에 대한 연구 -함수 개념과 관련하여-)

  • 김원경;김용대
    • The Mathematical Education
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    • v.41 no.1
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    • pp.101-108
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    • 2002
  • The purpose of this study is to estimate teachers' knowledge of mathematics via the concept of function. For the purpose, a survey was done to measure their knowledge of mathematics. The result obtained from the survey was as follows With respect to the knowledge on concept of friction, they understood the function as ordered pairs and graph rather than as relation and expression. This study reached the following conclusions from the result : They have the more static cognition than the dynamic one on the concept of unction.

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A Study on the Concept of Emotional Function in Furniture Design -Focused on the Analysis of Contemporary Art Furniture- (가구 디자인에 있어서 감성적 기능의 개념에 대한 연구 -현대 아트퍼니처 작품분석을 중심으로-)

  • Choi, Byung-Hoon;Hong, Min-Jung
    • Journal of the Korea Furniture Society
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    • v.20 no.4
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    • pp.290-306
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    • 2009
  • This article aimed at broadening the view on 'the concept of function' in furniture design. In this context, we argued that the established concept of furniture function has confined itself to the rational perspective, so that the emotional action and influence of furniture hardly regarded as an important issue in furniture design, and this has been a hinderance to multidirectional discussions on the meaning of furniture in our life. Starting from the investigation on the basis that forms the different dimensions of our experience of furniture, we clarified that we should view the meaning of furniture within a wider sphere where the actions of furniture on our perceptional, behavioral, and emotional levels are inclusively considered. In this light, 'emotional function' of furniture was defined as a concept that explains a multidimensional action of furniture, which leads creative aesthetic experience which enrich the interplays between designer, furniture, and user. The feasibility of the concept has been examined by an analysis on the characteristics of contemporary Art Furniture, which is experimental approaches towards various aesthetic values of art and design. In order to realize emotional function of furniture, furniture should become an experiment for the new perception and emotion; invite more of the user's interplay and action in the meaning-making process; and arouse emotional echoes and reflections within user's mind.

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The Effect on Forming Functional Concept by Teaching Function Based on Variable (변수에 의한 함수 지도가 함수개념의 형성에 미치는 효과)

  • 이덕호;길영순
    • Journal of the Korean School Mathematics Society
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    • v.4 no.1
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    • pp.103-114
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    • 2001
  • The purpose of this study is to develop learning materials for functional concept on variable and to verify the effect of how well students could learn functional concept after they studied with those materials. To accomplish the purpose of this study, I developed learning materials and after teaching students with them. I have concluded the followings : First, there was little effect in teaching functional concept on variable between two experimental groups, whereas teaching functional concept had greater effect on forming functional concept in high level groups in those two experimental groups. Second, teaching functional concept on variable had little effect on students' understanding of functional concept and perfecting tables in Black box, graph, and mathematical problems, whereas there was much effect in students' understanding functional concept and solving relation formula, image, and range problems related to everyday life or general things. On the basis of the problems which appeared in the process of this study, the following can be suggested : First, we should develop learning materials fit for low level students so that they could understand functional concept. Second, we should continue to teach the basic problems like solving relation formula, image, and range, and understanding functional concept in graph until students are able to understand them exactly. Third, since the goals of Unit Function in a middle school textbook is to solve problems related to everyday life through functional thinking, there should be change in constructing systematic contents of Unit Function in a middle school textbook.

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The Function Concept in Korean Engineering Freshmen and Some Suggestions on the Curriculum in the Function Area (공과대학 신입생들의 함수개념 연구와 함수 영역의 교육과정에 대한 제안)

  • Kim, Yeon-Mi
    • Communications of Mathematical Education
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    • v.22 no.4
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    • pp.417-444
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    • 2008
  • Many research papers on the college students' functional concept show they have poor understanding on this topic. To compare the results with that of Korean students, four interrelated topics are chosen: How do they understand the concept of function?; what are their misconceptions including epistemological obstacles?; How do the function concepts develop and are acquired? For this a survey has been conducted to 95 engineering students just before they start Calculus course. We have done research on other major areas including psychology, economics and statistics to see how function is defined in these areas. Function definitions from US math text books are also introduced. Based on the these and the survey, some suggestions are made on the new curriculum which treat function as a correspondence relation. Vertical line test should be added to the Algebra II/Pre calculus course to check the univalent property.

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A Study on the correlation between Sung-Jung' concept of Sasang Constitutional Medicine and Brain (사상의학(四象醫學)에 나타난 성정(性情)의 개념과 뇌(腦)와의 상관성에 관한 고찰)

  • Kim, Jong-Weon;Seul, Yu-Kyung
    • Journal of Sasang Constitutional Medicine
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    • v.12 no.2
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    • pp.17-33
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    • 2000
  • Purpose of this study is to investigate the correlation between Sung-Jung' concept of Sasang Constitutional Medicine and Brain. So, After studying the meaning of Sung-Jung' concept of Sasang Constitutional Medicine, I made a comparative study through the structure, function, development of Brain. The conclusions were as follows. 1. Human's brain acts a rational, control his actions. and It manage human body's physiology and pathology. and It perceive his surroundings, express his emotion through comprehension, synthesis, judgement about information from various fields. and It's abnormality bring about a spiritual, bodily injury. Therefore, human's brain have many correlation with Sung-Jung' concept of Sasang Constitutional Medicine. 2. Neocortex' function have many correlation with Sung' concept of Hearing-Sight-Smell-Taste (聽視嗅味=sensation=a highly mental capacity) through Ear-Eye-Nose-Mouse(耳目鼻?). 3. Limbic-system'function have many correlation with Jung' concept of Sorrow-Anger-Pleasure-Joy(哀怒喜榮=emotion) through Lung-Spleen-Liver-Kidney(肺脾肝腎) 4. Brain-stem' function have many correlation with vitalistic concept through Qui of Sorrow - Anger - Pleasure - Joy(哀怒喜樂之氣)' rise and fall. 5. Relation of emotions and diseases through Limbic system and Autonomic nervous system have many correlation with relation of Sung-Jung and diseases of Sasang Constitutional Medicine 6. Left-hemisphere' function that has superior power of verbal, analysis, logicality, consideration have many correlation with tendency of Soeumin and Taeumin. and Right-hemisphere' function that has superior power of emotion, non-verbal, imagination, spatial perception have many correlation with tendency of Soyangin and Taeyangin.

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