• Title/Summary/Keyword: Graphical representations

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Assessing Students' Molecular-Level Representations of Solution Chemistry

  • Lee, Soo-Young
    • Journal of The Korean Association For Science Education
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    • v.27 no.8
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    • pp.677-692
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    • 2007
  • In this study, university students were provided with repeated opportunities to represent their ideas graphically, and to examined via their drawings the extent to which they could visualize macroscopic phenomena microscopically. These drawings provided insight into the students' basic understanding of solution chemistry, revealing three conceptual models: the Undifferentiated Symbolic Model, the Particulate Model, and the Symbolic Ionic Model. Generally speaking, students who had poor conceptual understanding tended to exhibit the Undifferentiated Symbolic Model, whereas students with deeper understanding tended to employ the Symbolic Ionic Model. Students' conceptual comprehension was predictable from their graphical representations, which better elucidated what they actually comprehended about the phenomena, as opposed to their ambiguous verbal descriptions alone. The results of this study demonstrated a lack of development in university students' conceptions of solutions. Their weakness in understanding at the molecular-level became more obvious when they were asked to represent their ideas in drawings. Few students exhibited expert knowledge, and several common misconceptions were found, which indicated typical difficulties students have perceiving common phenomena at the molecular level. The findings of this study illustrate how eliciting graphical representations can be used to assess students' conceptual understandings.

A Study on the Graphical Representations of the 2-Port Parameter on the Load Plane by the Bilinear Transformation (쌍일차 변환에 의한 부하평면 2-포트 매개변수의 그래픽적 표현에 관한 연구)

  • 강원준;라극환
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.28A no.9
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    • pp.692-699
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    • 1991
  • In this paper, graphical representations of parameter variations affected by series or parallel feedback in the load plane were studied. As a result of transformations, all parameters of 2-port was converted to circles, and the step of noise circles and gain circles was 0.1 dB and 1dB, respectively. Compared with conventional commercial CAD softwares, the circuit design procedures could be verified much more systemically. This CAD was programmed in C-language and executed in IBM-PC with VGA graphic adaptor.

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A Comparative Analysis of Graphical Representations Related to Addition of Fractions in Elementary Mathematics Textbooks of Korea and Singapore (한국과 싱가포르의 초등학교 수학 교과서에 제시된 분수의 덧셈 관련 시각적 표현에 대한 비교 분석)

  • Lee, Jiyoung;Pang, JeongSuk;Seo, Eunmi;Kim, Kyeonghun
    • Journal of Educational Research in Mathematics
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    • v.27 no.3
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    • pp.537-555
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    • 2017
  • This paper compared and contrasted Korean and Singaporean textbooks in order to explore the direction and possibility of teaching the big ideas related to the addition and subtraction of fractions with different denominators proposed by Lee & Pang (2016a). Firstly, we examined the teaching sequences related to the addition of fractions with different denominators in a series of elementary mathematics textbooks of Korea and Singapore. We then analyzed what types of representations are used and how the representations are presented for the big ideas related to the addition of fractions with different denominators. The results of the analysis showed that the contents related to fraction addition are addressed more gradually and systematically in Singaporean textbooks compared to Korean counterparts. The graphical representations appeared in the Singaporean textbooks provide specific implications for teaching the big ideas of the addition of fractions with different denominators. Based on such implications, we expect that the big ideas related to the addition of fractions with different denominators will be addressed explicitly and systematically in Korean textbooks.

Middle School Students' Critical Thinking Based on Measurement and Scales for the Selection and Interpreation of Data and Graphical presentations (중학생들의 자료와 그래프의 선택과 해석에서 측정과 척도에 근거한 비판적 사고 연구)

  • Yun, Hyung-Ju;Ko, Eun-Sung;Yoo, Yun-Joo
    • Journal of Educational Research in Mathematics
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    • v.22 no.2
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    • pp.137-162
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    • 2012
  • Learning graphical representations for statistical data requires understanding of the context related to measurement in statistical investigation since the choice of representation and the features of the selected graph to represent the data are determined by the purpose and context of data collection and the types of the data collected. This study investigated whether middle school students can think critically about measurement and scales integrating contextual knowledge and statistical knowledge. According to our results, the students lacked critical thinking related to measurement process of data and scales of graphical representations. In particular, the students had a tendency not to question upon information provided from data and graphs. They also lacked competence to critique data and graphs and to make a flexible judgement in light of context including statistical purpose.

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Graph based KNN for Optimizing Index of News Articles

  • Jo, Taeho
    • Journal of Multimedia Information System
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    • v.3 no.3
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    • pp.53-61
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    • 2016
  • This research proposes the index optimization as a classification task and application of the graph based KNN. We need the index optimization as an important task for maximizing the information retrieval performance. And we try to solve the problems in encoding words into numerical vectors, such as huge dimensionality and sparse distribution, by encoding them into graphs as the alternative representations to numerical vectors. In this research, the index optimization is viewed as a classification task, the similarity measure between graphs is defined, and the KNN is modified into the graph based version based on the similarity measure, and it is applied to the index optimization task. As the benefits from this research, by modifying the KNN so, we expect the improvement of classification performance, more graphical representations of words which is inherent in graphs, the ability to trace more easily results from classifying words. In this research, we will validate empirically the proposed version in optimizing index on the two text collections: NewsPage.com and 20NewsGroups.

NEW GENERALIZATION OF THE WRIGHT SERIES IN TWO VARIABLES AND ITS PROPERTIES

  • Belafhal, Abdelmajid;Chib, Salma;Usman, Talha
    • Communications of the Korean Mathematical Society
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    • v.37 no.1
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    • pp.177-193
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    • 2022
  • The main aim of this paper is to introduce a new generalization of the Wright series in two variables, which is expressed in terms of Hermite polynomials. The properties of the freshly defined function involving its auxiliary functions and the integral representations are established. Furthermore, a Gauss-Hermite quadrature and Gaussian quadrature formulas have been established to evaluate some integral representations of our main results and compare them with our theoretical evaluations using graphical simulations.

Development of Simulator with Cluster System for Towing Fisheries

  • Park Myeong-Chul;Ha Seok-Wun
    • Journal of information and communication convergence engineering
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    • v.3 no.2
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    • pp.84-89
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    • 2005
  • Goal of this study is to implement 3-dimensional underwater appearance graphical display, fishery measured information display, sonar data representation and display, and 3-dimensional underwater appearance animation based on coefficient data of chaos behavior and fishing modeling of fishing gears from PC cluster system. In order to accomplish the goals of this study, it is essential to compose user interfacing and realistic description of image scenes in the towing-net fishery simulator, and techniques to describe sand cloud effects under water using particle systems are necessary. In this study, we implemented graphical representations and animations of the simulator by using OpenGL together with C routines.

An Improved Quantize-Quantize Plot for Normality Test

  • Lee, Jea-Young;Rhee, Seong-Won
    • Communications for Statistical Applications and Methods
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    • v.5 no.1
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    • pp.67-75
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    • 1998
  • A new graphical method, named transformed quantize-quantile (TQQ), of a quantize-quantile (Q-Q) Plot is developed for the detection of deviations from the normal distribution. It will be shown that TQQ is helpful for detecting patterns of how points depart from normality. TQQ characteristics of the various kinds of representations are illustrated by a generated sample from a composite of a normal distribution and a clinical example for TQQ is constructed and explained.

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F-CONTRACTION IN PARTIALLY ORDERED b-METRIC LIKE SPACES

  • Om Prakash Chauhan;Vishal Joshi;Saurabh Singh
    • The Pure and Applied Mathematics
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    • v.31 no.1
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    • pp.103-117
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    • 2024
  • In this article, we utilize the concepts of hybrid rational Geraghty type generalized F-contraction and to prove some fixed point results for such mappings are in the perspective of partially ordered b-metric like space. Some innovative examples are also presented which substantiate the validity of obtained results. The example is also authenticated with the help of graphical representations.

Mandelbrot Set Image Generation using 8-connectivity (8-연결성을 이용한 만델브로토 집합 생성 알고리즘 개발)

  • Kim, Yeong-Bong
    • The Transactions of the Korea Information Processing Society
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    • v.4 no.2
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    • pp.596-605
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    • 1997
  • The synamic systrm emplohing the self-squared function, , $f(Z)=z^2+c$, provides the Mandelbrot set which classifies constants c using the divergence of the sequence starting from the origin.To speed-up the generation of Mandelbrot set images, two approaches , called as the divide-and-conquer technique and the triangular boundary tracing technique, have been developed.However , the divede-and-conquer technique genrates sequences of some pixels that so not affect graphical representations of the Mandelbrot set.The triangular boundary tracing tech-mique does noot represent some 8-connected components of the Mandelbrost set.In this paper, we prorose a new ;method which solves the 8-connectivity problem of triangular boundary tracing technique.This algorithm considers the divergence for only pixels which are essential to the graphical repressentation of the Mandelbrot set.It also foves good representations for 8-connected components like hairly structures.

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