• Title/Summary/Keyword: function concept

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The wavelet neural network using fuzzy concept for the nonlinear function learning approximation (비선형 함수 학습 근사화를 위한 퍼지 개념을 이용한 웨이브렛 신경망)

  • Byun, Oh-Sung;Moon, Sung-Ryong
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.5
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    • pp.397-404
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    • 2002
  • In this paper, it is proposed wavelet neural network using the fuzzy concept with the fuzzy and the multi-resolution analysis(MRA) of wavelet transform. Also, it wishes to improve any nonlinear function learning approximation using this system. Here, the fuzzy concept is used the bell type fuzzy membership function. And the composition of wavelet has a unit size. It is used the backpropagation algorithm for learning of wavelet neural network using the fuzzy concept. It is used the multi-resolution analysis of wavelet transform, the bell type fuzzy membership function and the backpropagation algorithm for learning. This structure is confirmed to be improved approximation performance than the conventional algorithms from one dimension and two dimensions function through simulation.

A Study on the Intuitive Understanding Concept of Continuous Random Variable (연속확률변수 개념의 직관적 이해에 관한 고찰)

  • 박영희
    • School Mathematics
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    • v.4 no.4
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    • pp.677-688
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    • 2002
  • The context and intuitive understanding is very important in Statistics Education. Especially, there is a need to mitigate student's difficulty in studying probability density function. One of teaching method this concept is to using relative frequency histogram. But, as using this method, we should know several problems included in that. This study investigate problems in the method for teaching probability density function as gradual meaning of histogram. Also, as alternative approach, this thesis introduce the density curve concept. The application of four methods to teach the concept of the probability density function and analysis of the survey result is done in this research.

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A study on understanding of continuity concept of function (함수의 연속 개념 이해에 대한 연구)

  • Oh, Hye-Young
    • East Asian mathematical journal
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    • v.39 no.2
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    • pp.119-139
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    • 2023
  • Most of calculus and real analysis are concerned with the study on continuous functions. Because of self-sustaining concept caused by everyday language, continuity has difficulties. This kind of viewpoint is strengthened with that teacher explains continuity by graph drawn ceaselessly and so finally confused with mathematics concept which is continuity and connection. Thus such a concept image of continuity becomes to include components which create conflicts. Therefore, we try to analyze understanding of continuity on university students by using the concept image as an analytic tool. We survey centering on problems which create conflicts with concept definition and image. And we investigate that difference of definition in continuous function which handles in calculus and analysis exists and so try to present various results on university students' understanding of continuity concept.

A Study on the comparison of models for teaching the concept of function (함수개념 지도를 위한 모델 비교 연구)

  • Heo, Hae-Ja;Kim, Jong-Myung;Kim, Dong-Won
    • Journal for History of Mathematics
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    • v.24 no.4
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    • pp.97-118
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    • 2011
  • This study aimed finding effective models for the teaching the concept of function. We selected two models. One is discrete model which focuses on the 'corresponding relation of the elements of the sets(domain and range). The other is continuous model which focuses on the dependent relationship of the two variables connected in variable phenomenon. A vending machine model was used as a discrete model, and a water bucket model was used as a continuous model in our study. We taught 2 times about the concept of function using two models to the 60 students (7th grade, 2 classes) living in Taebak city, and tested it twice, after class and about 3 months later. A vending machine model was helpful in understanding the definition of function in the 7th grade math textbook. Also, it was helpful to making concept image and to recalling it. On the other hand, students who used the water bucket model had a difficultly in understanding the all independent variables of the domain corresponding to the dependent variables. But they excelled in tasks making formula expression and understanding changing situations.

A Study on the New Design Concept in the Contemporary Architecture -Focused on the rhetorical expression of the Postmodern Architecture- (현대 건축의 신디자인 개념에 관한 연구 -포스트모던 건축의 수사학적 표현 기법을 중심으로-)

  • 김은지;이정욱
    • Korean Institute of Interior Design Journal
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    • no.20
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    • pp.26-32
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    • 1999
  • The point of this study consists in analysing influences of the postmodern design in the contemporary architecture. Since the modern architecture, new concept of architectural design has been materialized in the Late-Modern and the High-tech style but the revolutionary changes has been tempted by the postmodern architects who introduced the Rhetorical language in the contemporary architecture. In concrete terms postmodern architecture divided architectural elements from existing function (according to U. Eco, it is the primary function of architecture) and gave another function which is the secondary function or the symbolic function or architecture. And the methods of deviation from the conventional code is exactly the rhetorical expression technique which governed the history of art in Europe (but these technique is more intensively applied in the postmodern architecture) So this study is purposed to analyse the different rhetorical "figyres" regarding the syntax and semantic of the architectural langyage, and particularly to approach to the basic mechanism of the New Design Concept in the Contemporary Archiecture.chiecture.

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An Analysis on the Understanding of Middle School Students about the Concept of Function Based on Integrated Understanding (통합적 이해의 관점에서 중학교 학생들의 함수 개념 이해 분석)

  • Lee, Young Kyoung;Kim, Eun Sook;Lee, Ha Woo;Cho, Wan Young
    • Communications of Mathematical Education
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    • v.30 no.2
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    • pp.199-223
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    • 2016
  • The purpose of this study is to investigate how first and second graders in middle school take in integrated understanding about the concept of function. The data was collected through the questionnaire conducted by the first and second-year students at A, B middle school in Cheongju. The questionnaire consisted of 14 questions related to the extent of understanding a concept of function, the ability to express function and to translate function. The results are summarized as follows. First, the percentage of correct answer made a difference according to the types of representation. Questions leading students to translate a task into a table or an equation showed quite high correct response rates. However, questions asking students to translate a task into graphs showed high incorrect responses. Second, the result shows that students have the different viewpoints depending on their grades when they have to determine whether the suggested situation belongs to function. The first-year students tended to consider function as the concept of 'definition'. On the other hand, the second-year students emphasized 'equation' of function. Finally, only a few students can distinguish the various situations and representations into the definition of function. This result shows that students didn't get the integrated understanding of the concept of function.

Primary School Children단s Knowledge Structure Changes: Observed on Concept Maps for the Unit of 단Structure and Function of Plant단 (식물의 구조와 기능단 단원의 학습과정에서 초등학교 아동들의 지식구조의 변화)

  • 김종중;송남희
    • Journal of Korean Elementary Science Education
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    • v.21 no.1
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    • pp.13-24
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    • 2002
  • This study examined the knowledge structure constructed by children before formal instruction, and successive changes in the structural complexity of knowledge during the learning of the 'Structure and Function of Plants' unit. The researchers let the 5th graders draw the first draft of their concept maps in order to examine the pre-existing knowledge structure concerned with the unit and also four concept maps after completing every fourth lesson. Each concept map drawn by children on the basis of the previous one showed the degree of their current understanding on the structure and function of plants. The results revealed that only two levels of hierarchy and five relationships among the components of the first concept map(relationship, hierarchy, cross link and example) were proven to be valid in terms of conceptual relevance. According to the standard map, there was no change in hierarchy from the 2nd to the 3rd map, and in example from the 2nd to the 4th map. However, the gradual and successive increases of the scores in all components appeared in the children's maps throughout the unit. Knowledge restructuring occurred strongly in the early periods from the 1st to the 6th lesson, and the significant stable changes in tuning and accretion appeared throughout the whole lessons. The results also showed that there were no significant gender differences on the 5th grader's knowledge structuring.

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Designing Instruction to Facilitate the Understanding of the Functional Concept: Based on the Situated Learning Theory (함수개념의 이해 촉진을 위한 수업 설계: 상황학습이론을 중심으로)

  • 최정임;허혜자
    • School Mathematics
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    • v.3 no.2
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    • pp.373-399
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    • 2001
  • The function is a basic and key concept to understand mathematical problems. However, many students have difficulties to expand the knowledge to other related concepts and to transfer the knowledge to real world problems. The reasons for the problem may be that the concept of function is taught by simplified and abstracted formula without fully understanding of the reasoning process. Also, the examples for the concepts are artificial and not related to students' experiences. Situated learning theory provides great implications to solve these problems. So, this study was designed to teach the concept of function more meaningful to students by appling situated learning theory. Thirty-eight middle school students were participated in this study. Students were provided the instruction designed according to the principles of situated learning theory. Then, they were asked to complete attitude survey questionnair and a performance assessment task. The result showed that the instruction based on situated learning theory was useful to Promote students' understanding and motivation for learning. More implications of the study was provided in the paper.

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A Study on the Prospective Mathematics Secondary Teachers' Introduction of Concepts of Function (예비 중등 수학교사들의 함수 개념의 도입 방식 탐색)

  • Ma, Minyoung
    • Journal of the Korean School Mathematics Society
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    • v.25 no.3
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    • pp.225-241
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    • 2022
  • The purpose of this study is to analyze and present what aspects of the concept of function prospective mathematics secondary teachers emphasize when designing a class that introduces the concept of function using curriculum and textbooks. For this purpose, virtual instruction and reflections on virtual instruction were analyzed. The results are as follows. The prospective mathematics secondary teachers consider and introduce the concepts of function as correspondences and processes. Their conception of function was consistently observed during virtual instruction and reflections on virtual instruction. The prospective mathematics secondary teachers' conception of function was closely related to the form of expressing functions. These results provi e implications for prospective mathematics secondary teachers' education for introducing the concept of function based on the dependent relation between variables presented in the 2015 revision of the national mathematics curriculum.

A Study on Receipt Caused by Spatial Transformation of Kitchen Space in Apartment Housing

  • Choi, Lee-Seoung;Kim, Hyung-Woo
    • Journal of the Korea Furniture Society
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    • v.19 no.4
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    • pp.260-272
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    • 2008
  • The recent concept of kitchen is likely defined as "Kitchen Culture" including the function of living room where all families make a conversation as well as a dinner, and it is becoming another type of the residential environment, deviating from the stereotype as only cooking area. Particularly the comfortableness of living room is closely associated with a receipt function of kitchen, and the sort & dimension & size of furniture and diversity of shapes playa more meaningful role for improving our life standard & comfortableness compared with the past, nevertheless this receipt study is carelessly handled in the first phase of construction. This Study is focusing on understanding the modern concept of kitchen where the open space concept is being introduced as more reasonable space concept, and on suggesting a solution for receipt-function of the modern kitchen concept connected with "L-D-K (Living room - Dining room- Kitchen)" space idea. In the Chapter 2 the concept of receipt and function of kitchen, the wide variety of kitchen utensils was checked up, and in the Chapter 3 the change of trends of kitchen area & receipt space was considered, and finally in the Chapter 4 the modern concept of kitchen was presented, by instancing overseas examples with receipt planning. As a consequence, the alternative of the receipt in the modern kitchen is to install an Ireland table or another type of receipt-available table (lower furniture) in the dead space between kitchen & living room for motivating smooth communication and convenient receipt, and that is the trend nowadays. Kitchen desires a rapid change. Through this kind of study it should be more researched that kitchen is not an independent space any more and lies in the mutual connection of L-D-K.

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