• Title/Summary/Keyword: mathematical concepts

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Case Analysis and Applicability Review of Parametric Design in Landscape Architectural Design (조경 설계 분야에서 파라메트릭 디자인의 사례 분석과 활용 가능성)

  • Na, Sungjin
    • Journal of the Korean Institute of Landscape Architecture
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    • v.49 no.2
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    • pp.1-16
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    • 2021
  • The act of design in landscape architecture consists of a concept within a designer's mind, technical representations, and finally, a process of construction. In the 4th Industrial Revolution, the design process is facing many changes due to the rapid development of computer technology and the IT ecosystem. Computer technology was initially developed for simple functions, such as mathematical calculation and graphic representation. However, after the spread of Personal Computers, starting with IBM and Macintosh, programming languages and hardware rapidly developed, algorithms and applications became specialized, and the purpose of using computers became very diverse. This study diagnoses issues concerning the functions and roles that new design methods, such as computational design, parametric design, and algorithmic design, can play in landscape architecture based on changes in the digital society. The study focused on the design methodology using parametric technology, which has recently received the most attention. First, the basis for discussion was developed by examining the main concepts and characteristics of parametric design in modern landscape architecture. Prior research on the use of parametric design in landscape architecture was analyzed, as were the case studies conducted by landscape design firms. As a result, it was confirmed that parametric design has not been sufficiently discussed in terms of the number and diversity of studies compared to other techniques investigated by landscape design firms. Finally, based on the discussion, the study examined specific cases and future possibilities of the parametric design in landscape architecture.

The Application of Fuzzy Logic to Assess the Performance of Participants and Components of Building Information Modeling

  • Wang, Bohan;Yang, Jin;Tan, Adrian;Tan, Fabian Hadipriono;Parke, Michael
    • Journal of Construction Engineering and Project Management
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    • v.8 no.4
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    • pp.1-24
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    • 2018
  • In the last decade, the use of Building Information Modeling (BIM) as a new technology has been applied with traditional Computer-aided design implementations in an increasing number of architecture, engineering, and construction projects and applications. Its employment alongside construction management, can be a valuable tool in helping move these activities and projects forward in a more efficient and time-effective manner. The traditional stakeholders, i.e., Owner, A/E and the Contractor are involved in this BIM system that is used in almost every activity of construction projects, such as design, cost estimate and scheduling. This article extracts major features of the application of BIM from perspective of participating BIM components, along with the different phrases, and applies to them a logistic analysis using a fuzzy performance tree, quantifying these phrases to judge the effectiveness of the BIM techniques employed. That is to say, these fuzzy performance trees with fuzzy logic concepts can properly translate the linguistic rating into numeric expressions, and are thus employed in evaluating the influence of BIM applications as a mathematical process. The rotational fuzzy models are used to represent the membership functions of the performance values and their corresponding weights. Illustrations of the use of this fuzzy BIM performance tree are presented in the study for the uninitiated users. The results of these processes are an evaluation of BIM project performance as highly positive. The quantification of the performance ratings for the individual factors is a significant contributor to this assessment, capable of parsing vernacular language into numerical data for a more accurate and precise use in performance analysis. It is hoped that fuzzy performance trees and fuzzy set analysis can be used as a tool for the quality and risk analysis for other construction techniques in the future. Baldwin's rotational models are used to represent the membership functions of the fuzzy sets. Three scenarios are presented using fuzzy MEAN, AND and OR gates from the lowest to intermediate levels of the tree, and fuzzy SUM gate to relate the intermediate level to the top component of the tree, i.e., BIM application final performance. The use of fuzzy MEAN for lower levels and fuzzy SUM gates to reach the top level suggests the most realistic and accurate results. The methodology (fuzzy performance tree) described in this paper is appropriate to implement in today's construction industry when limited objective data is presented and it is heavily relied on experts' subjective judgment.

Prospective Mathematics Teachers' Perceptions of the Use of Hands-On Manipulatives and Technological Tools in Teaching Quadratic Curves (이차곡선 수업에서 공학도구 사용과 수작업 교구 활동에 대한 예비 수학교사들의 인식)

  • Kim, Somin
    • Journal of the Korean School Mathematics Society
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    • v.24 no.1
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    • pp.151-172
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    • 2021
  • In this study, I investigated prospective mathematics teachers' perceptions of activities using Wax-paper, a hands-on material (manipulatives), and GeoGebra, a technological tool, in teaching quadratic curves. Twenty prospective mathematics teachers in the Mathematics Education Department of a local university participated in a survey on their perception of the use of hands-on materials and technological tools in teaching quadratic curves. According to the results of this study, prospective mathematics teachers generally preferred the use of technological tools for learning and teaching quadratic curves. Additionally, mathematics teachers thought that the tool helped students develop intuitive thinking through visualizing quadratic curves, enabling the exploration of various mathematical properties, assisting the comprehension of various concepts, and increasing students' interest levels. However, they were concerned about the immature use of technological tools by students or teachers, and recognized that the advantages and disadvantages of using hands-on material and technological tools were complementary. Based on these findings, it is suggested that hands-on material and technological tools should be used complementally in mathematics classes, and the development and dissemination of class materials that are not affected by students' or teachers' ability to use technological tools is important.

The Analysis of Proportional Reasoning Tasks in Elementary School Mathematics Textbooks (초등학교 수학 교과서에 제시된 비례추론 과제의 분석)

  • Song, Dong Hyun;Park, Young Hee
    • Education of Primary School Mathematics
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    • v.25 no.1
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    • pp.57-79
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    • 2022
  • Current mathematics It is necessary to ensure that ratio and proportion concept is not distorted or broken while being treated as if they were easy to teach and learn in school. Therefore, the purpose of this study is to analyze the activities presented in the textbook. Based on prior work, this study reinterpreted the proportional reasoning task from the proportional perspective of Beckmann and Izsak(2015) to the multiplicative structure of Vergnaud(1996) in four ways. This compared how they interpreted the multiplicative structure and relationships between two measurement spaces of ratio and rate units and proportional expression and proportional distribution units presented in the revised textbooks of 2007, 2009, and 2015 curriculum. First, the study found that the proportional reasoning task presented in the ratio and rate section varied by increasing both the ratio structure type and the proportional reasoning activity during the 2009 curriculum, but simplified the content by decreasing both the percentage structure type and the proportional reasoning activity. In addition, during the 2015 curriculum, the content was simplified by decreasing both the type of multiplicative structure of ratio and rate and the type of proportional reasoning, but both the type of multiplicative structure of percentage and the content varied. Second, the study found that, the proportional reasoning task presented in the proportional expression and proportional distribute sections was similar to the previous one, as both the type of multiplicative structure and the type of proportional reasoning strategy increased during the 2009 curriculum. In addition, during the 2015 curriculum, both the type of multiplicative structure and the activity of proportional reasoning increased, but the proportional distribution were similar to the previous one as there was no significant change in the type of multiplicative structure and proportional reasoning. Therefore, teachers need to make efforts to analyze the multiplicative structure and proportional reasoning strategies of the activities presented in the textbook and reconstruct them according to the concepts to teach them so that students can experience proportional reasoning in various situations.

An Analysis on Reasoning of 4th-Grade Elementary School Students in Comparing Unlike Fraction Magnitudes (초등학교 4학년 학생들의 이분모 분수 크기 비교에 나타나는 추론 분석)

  • Yoon, Chaerin;Chang, Hyewon
    • Education of Primary School Mathematics
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    • v.26 no.3
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    • pp.181-197
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    • 2023
  • The importance of reasoning processes based on fractional concepts and number senses, rather than a formalized procedural method using common denominators, has been noted in a number of studies in relation to compare the magnitudes of unlike fractions. In this study, a unlike fraction magnitudes comparison test was conducted on fourth-grade elementary school students who did not learn equivalent fractions and common denominators to analyze the reasoning perspectives of the correct and wrong answers for each of the eight problem types. As a result of the analysis, even students before learning equivalent fractions and reduction to common denominators were able to compare the unlike fractions through reasoning based on fractional sense. The perspective chosen by the most students for the comparison of the magnitudes of unlike fractions is the 'part-whole perspective', which shows that reasoning when comparing the magnitudes of fractions depends heavily on the concept of fractions itself. In addition, it was found that students who lack a conceptual understanding of fractions led to difficulties in having quantitative sense of fraction, making it difficult to compare and infer the magnitudes of unlike fractions. Based on the results of the study, some didactical implications were derived for reasoning guidance based on the concept of fractions and the sense of numbers without reduction to common denominators when comparing the magnitudes of unlike fraction.

Cultivation Condition of Transformant Alcaligenes eutrophus Harboring Cloned phbC Gene for Production of P(3-hydroxybutyrate-3-hydroxyvalernte) Containing High Molar Fraction of 3-Hydroxyvalerate. (P(3-hydroxybutyrate-3-hydroxyvalerate)의 생산을 위한 재조합 phbC 유전자를 형질전환시킨 Alcaligenes eutrophus의 배양조건 검토)

  • 권순일;정영미;이용현
    • Microbiology and Biotechnology Letters
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    • v.26 no.6
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    • pp.537-544
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    • 1998
  • The cultivation conditions of transformant Alcaligenes eutrophus AER5 harboring cloned phbC gene for mass production of poly (3-hydroxybutyrate-3-hydroxyvalerate)[P(3HB-3HV)] containing high molar fraction of 3-hydroxyvalerate (3-HV) were investigated. In two-stage batch cultivation, transformant accumulated P(3HB-3HV) containing 52.2 mol% of 3HV compared to 30 mol% of parent strain A. eutrophus H16. The increased 3-HV molar fraction was due to the amplified activity of PHB synthase participating in condensation of 3-HB and 3-HV. To increase efficiency of P(3HB-3HV) accumulation, fructose was added along with precursor compound valerate, and total cell mass and P(3HB-3HV) concentrations remarkably increased, but not 3-HV molar fraction. The effect of magnesium ion showed that P(3HB-3HV) concentration and 3-HV molar fraction were significantly increased upto 6.1 g/L and 71.3 mol% at 0.01 g/L of MgSO$_4$, respectively. The efficiency of several pH adjuster, NaOH, NaOH and (NH$_4$)$_2$SO$_4$, and NH$_4$OH, on total cell mass, p(3HB-3HV) concentration, and 3-HV molar fraction was also compared. To overcome the disadvantage of two-stage cultivation, one-stage intermittent fed-batch cultivation was attempted, such a way 10.0 g/L of fructose was supplied for cell growth at initial 36 hr and then 10.0 g/L of valerate and 5.0 g/L of fructose were applied to induce the accumulation of P(3HB-3HV), consequently, 10.4 g/L of P(3HB-3HV) with 38 mol% of 3-HV fraction could be obtained after 72 hr. These results can be used for elucidating cultivation strategy for mass production of P(3HB-3HV) containing high 3-HV molar fraction using transformant A. eutrophus AER5 harboring cloned phbC gene.

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Comparative Analysis of the New and Old Secondary School Science Textbooks (중학교 과학교과서의 비교분석)

  • Kim, Seong-Jin;Pak, Sung-Jae
    • Journal of The Korean Association For Science Education
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    • v.5 no.1
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    • pp.49-61
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    • 1985
  • In this study, I compared and analyzed the new and old secondary school science textbooks to find the charateristics of them and the differences between them. The results of the study are the following. Major concepts in the new textbook are almost similar to those in the old one. The-new textbook reinforces the functions of the introudction and checking the result of learning, and presents more and diverse learning materials and reduces the degree of learning difficulty by omitting the several abstract knowledges and mathematical formulas which can be understood through formal operational thinking. The results show that the new textbook is more effective in arousing student's interest and curiosity there fore it increases the efficiency of learning. But the new textbook is less suitable for inquiry because it is mainly composed of explanation and fact rather than experiment and observation. I think that this is the result from the actual approach to the real conditions of school when the curriculum was reformed and the new textbook was written.

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Natural Space and Cognitional Space in Modern (근대의 자연 공간과 인식 공간)

  • Kang, Dong-soo
    • Journal of Korean Philosophical Society
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    • v.116
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    • pp.1-31
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    • 2010
  • This Article studies a meaning of geometrical-mathematical spatial idea in the source of modern theories of space. Modern theories of space elucidated a relation of human and space through the geometrical terms; point, line, plane and extension etc. Descartes and Newton identified space as a natural realty, Leibniz and Kant elucidated space as a subjective idea or form. It is the result of modern spatial theories that space is lied nearly in human. In the meaning of natural space, space is empirically unfolded with a shape of measuring in front of human's eyes. In the meaning of cognitional space, space is a method or subjective cognitional form that human understands nature and constitutes world. Modern theories of space would be divided into four patterns. In Newton's theory space is absolutely prior to things. In Leibniz' theory space is a co-existence order of Monads. In Descartes's theory space is identified with extension. In Kant's theory space is cognitional form of subject. They all are confronted with each other in the source of space. In their confrontation they reflected on the relation of human and space in their own standpoint. We classify their particularly differential concepts of space into natural space and cognitional space. And then we analyze a difference of spatial meanings, and then investigate foundations of meaning of modern theories of space. On the one hand they are become to the source of alienation of human from space. But on the other they are contributed to get space familiar with human through a wakening for the correlation of human and space. The natural space indicates that with measurable shape space is extended really in front of human's experiential eyes. But the cognitional space elucidates that space is only a subjective idea or form with which human understands nature and constructs world. In the former it is embossed that space is independent to human, and is able to be measured and to be treated according to natural raws. In the latter it is evidenced that space is not separated to human, and that space is not without human, and a correlation existed between human and space. Humanist ideal is declared in them. It was a declaration of human sovereignty to nature. But this declaration is caused to alienate human beings from space.