• Title/Summary/Keyword: analogical thinking

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The analogical reasoning between combat and oriental medicine (치료와 병법의 유비(類比))

  • Jung, Woo-Jin
    • Journal of Korean Medical classics
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    • v.19 no.2 s.33
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    • pp.1-10
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    • 2006
  • The main purpose of this essay is to shed light on the foundation of the core notion used in oriental medicine. Under the premise that the important notion of oriental medicine has its origin in the culture of the ancient china before B.C.$2^{\sim}1$, we will get to the source notion of oriental medicine by retrospecting the analogical thinking used in the course of forming the main notion of oriental medicine. For the source notion being in various domains, we must search so many domains for example the political system including the offical system, the economic system and so on. But in this essay, we will limit the domain concerned with combat.

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A Study on Teaching Methods of Extension of Cosine Rule Using Analogy (유추를 활용한 코사인 법칙의 일반화 지도방안)

  • Kim, Sungsoo;Park, Dal-Won
    • Journal of the Korean School Mathematics Society
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    • v.16 no.4
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    • pp.927-941
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    • 2013
  • In this paper, we investigate and analysis high school students' generalization of cosine rule using analogy, and we study teaching and learning methods improving students' analogical thinking ability to improve mathematical thinking process. When students can reproduce what they have learned through inductive reasoning process or analogical thinking process and when they can justify their own mathematical knowledge through logical inference or deductive reasoning process, they can truly internalize what they learn and have an ability to use it in various situations.

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Solving Three Types of Analogy Tasks by the Mathematically Gifted (영재아들의 세 유형의 유추 과제 해결)

  • Lee, Kyung-Hwa
    • Journal of Educational Research in Mathematics
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    • v.19 no.1
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    • pp.45-61
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    • 2009
  • The powerful role of analogical reasoning in discovering mathematics is well substantiated in the history of mathematics. Mathematically gifted students, thus, are encouraged to learn via in-depth exploration on their own based on analogical reasoning. In this study, 57 gifted students (31in the 7th and 26 8th grade) were asked to formulate or clarify analogy. Students produced fruitful constructs led by analogical reasoning. Participants in this study appeared to experience the deep thinking that is necessary to solve problems made with analogies, a process equivalent to the one that mathematicians undertake. The subjects had to reflect on prior knowledge and develop new concepts such as an orthogonal projection and a point of intersection of perpendicular lines based on analogical reasoning. All subjects were found adept at making meaningful analogues of a triangle since they all made use of meta-cognition when searching relations for analogies. In the future, methodologies including the development of tasks and teaching settings, measures to evaluate the depth of mathematic exploration through analogy, and research on how to promote education related to analogy for gifted students will enhance gifted student mathematics education.

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Effect of Learning a Divide-and-conquer Algorithm on Creative Problem Solving (분할 정복 알고리즘 학습이 창의적 문제 해결에 미치는 효과)

  • Kim, Yoon Young;Kim, Yungsik
    • The Journal of Korean Association of Computer Education
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    • v.16 no.2
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    • pp.9-18
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    • 2013
  • In secondary education, learning a computer science subject has the purpose to improve creative problem solving ability of students by learning computational thinking and principles. In particular, learning algorithm has been emphasized for this purpose. There are studies that learning algorithm has the effect of creative problem solving based on the leading studies that learning algorithm has the effect of problem solving. However, relatively the importance of the learning algorithm can weaken, because these studies depend on creative problem solving model or special contents for creativity. So this study proves that learning algorithm has the effect of creative problem solving in the view that common problem solving and creative problem solving have the same process. For this, analogical reasoning was selected among common thinking skills and divide-and-conquer algorithm was selected among abstractive principles for analogical reasoning in sorting algorithm. The frequency which solves the search problem by using the binary search algorithm was higher than the control group learning only sequence of sorting algorithm about the experimental group learning divide-and-conquer algorithm. This result means that learning algorithm including abstractive principle like divide-and-conquer has the effect of creative problem solving by analogical reasoning.

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An Investigation of the Characteristics of Analogs Generated by High School Students on Ionic Bonding: A Comparison of Characteristics of Analogs Depending on Their Cognitive Variables (고등학생이 이온 결합에 대해 생성한 비유의 특징 분석 -학생의 인지적 특성에 따른 비유의 특징 비교-)

  • Kim, Minhwan;Kwon, Hyeoksoon;Kim, Youjung;Noh, Taehee
    • Journal of The Korean Association For Science Education
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    • v.37 no.1
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    • pp.39-48
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    • 2017
  • In this study, we investigated the characteristics of analogs generated by high school students to explain ionic bonding in the perspectives of the number of analogs, the understanding of mapping, and the source and type of analogs. We also compared the results by students' conceptual understanding, logical thinking ability, and analogical reasoning ability. Participants in this study were 395 11th graders in Seoul. The results of the study showed that the higher the conceptual understanding, the logical thinking ability, and the analogical reasoning ability, the more the students generated the analogs. The understanding of mapping was related to logical thinking ability and analogical reasoning ability. It is noteworthy that the sources of analogs differed only depending on their conceptual understanding of the target concept among the cognitive variables studied. Students who had higher conceptual understanding also generated analogs from more diverse sources. Some types of the generated analogs were related to the cognitive variables. For examples, the students who had higher conceptual understanding and logical thinking ability generated more verbal/pictorial analogs. The types of analogs were not related to cognitive variables in terms of artificiality, abstraction, and systemicity. Educational implications of these findings were discussed.

A Study on the Relationship of Post-Modern Design and Medieval Aesthetics - Focus on the Historicity of the Hybrid Aesthetics - (포스트모던 디자인과 중세 미학의 관계 연구 - 혼성 미학의 역사성을 중심으로 -)

  • 김은지;이정욱
    • Korean Institute of Interior Design Journal
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    • no.39
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    • pp.3-11
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    • 2003
  • The attempt to find the origin of Post-modern aesthetics from the Middle Ages is easy to perceive the thinking system of contemporary design. The Middle Ages showed that things and God's relation were symbolized all things were connected with analogical ideas as mysticism(alchemy, gnosticism), and God's world was represented with the metaphor. While the hybrid style of Post-modern architecture expressed that the rationalism was opposed to Ideology, partly, the idea of irrational with mysterious, also unscientific with analogical discourse . And the Symbolism of Post-Modern Design is means of popular Communication. Exactly, the common feature of ideology with pre-rationalism and anti-rationalism are against the dominated ideology in present. In conclusion, the relation of significancy effect In Chaos and In composition can be considered inspirational source historically.

The Effects of the Visual-Analogical Learning on Student Creativity and Science Achievement in Elementary School Science (초등과학 학습에서의 창의력 향상을 위한 시각적비유학습의 효과)

  • Choi, Sun-Young;Lee, Eun-Jung;Kang, Ho-Kam
    • Journal of The Korean Association For Science Education
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    • v.26 no.2
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    • pp.167-176
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    • 2006
  • The purpose of this study was to explore the effects of a visual-analogical learning model based on theoretical research on visual thinking and analogical learning. To examine the effect of visual-analogical learning, both an experimental group and a control group were selected from 6th graders at H elementary school in Yeonsugu, Incheon and tested on creativity and science achievement Results of this study showed as that visual-analogical learning produced statistically significant differences for changes in student creativity, For the individual components of creativity; openness, fluency, and originality, results showed greater increases for the experimental group, whereas flexibility showed only statistically significant differences. In regards to science achievement, the experimental group showed a bigger increase than the control group, but these findings were statistically nonsignificant For changes to creativity in the group divided according to creativity score, this instructional method was more effective in the middle and lower group than the higher group, An investigation of attitude, revealed a positive student reaction students felt these science classes to be more interesting than previous science classes. Moreover, students wanted to create new innovative product themselves.

A case study on inquiry activities of synthetic division through analogies (유추를 통한 조립제법 탐구활동 사례 연구)

  • Jung, Milin;Whang, Woo Hyung
    • Communications of Mathematical Education
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    • v.28 no.1
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    • pp.97-130
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    • 2014
  • The purpose of the study was to investigate the aspects of analogy of high school student's thinking process revealed in the inquiry activity with synthetic division. The case study method of qualitative research was conducted with two high school 10th grade students. Structure-mapping model(SMM) of Gentner and similarity frames which were proposed by other researchers were utilized to analyze the data. Two students used analogy as a tool and they could discover synthetic division of more than 2 degrees, but they revealed different levels of mathematics discovery depending on the different degree of analogical thinking. Surface similarity in the process of inquiry activity played a vital role in analogical thinking. We asked students to explore and discover analogy based on structure similarity. Analogy based on the systematic approach made it possible to predict upper domain. Analogy based on the procedure similarity induced internalization. We could conclude that analogy has instrumental, heuristic and reflective characteristics.

Analogical Reasoning in Construction of Quadratic Curves (이차곡선의 작도 활동에서 나타난 유추적 사고)

  • Heo, Nam Gu
    • Journal of Educational Research in Mathematics
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    • v.27 no.1
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    • pp.51-67
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    • 2017
  • Analogical reasoning is a mathematically useful way of thinking. By analogy reasoning, students can improve problem solving, inductive reasoning, heuristic methods and creativity. The purpose of this study is to analyze the analogical reasoning of preservice mathematics teachers while constructing quadratic curves defined by eccentricity. To do this, we produced tasks and 28 preservice mathematics teachers solved. The result findings are as follows. First, students could not solve a target problem because of the absence of the mathematical knowledge of the base problem. Second, although student could solve a base problem, students could not solve a target problem because of the absence of the mathematical knowledge of the target problem which corresponded the mathematical knowledge of the base problem. Third, the various solutions of the base problem helped the students solve the target problem. Fourth, students used an algebraic method to construct a quadratic curve. Fifth, the analysis method and potential similarity helped the students solve the target problem.

The Influences of Inquiry Learning-Based Analogical Experiments on Experimental Design Processes of Science-Gifted Students (비유 실험을 활용한 탐구학습이 과학영재의 실험설계 과정에 미치는 영향)

  • You, Ji-Yeon;Park, Youn-Ok;Noh, Tae-Hee
    • Journal of The Korean Association For Science Education
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    • v.31 no.6
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    • pp.986-997
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    • 2011
  • In this study, we developed analogical experimental activities to foster scientific creativity in inquiry learning and applied them to 7th grade science-gifted students. The influences of inquiry learning-based analogical experiments were investigated with respect to the experimental design processes. We classified the patterns of experimental design processes by creative thinking processes and analyzed performance levels by the elements of experimental design processes. The students' experimental design processes were categorized into three kinds of patterns such as reinitiated motion, backward-divergent motion and stationary motion. Those belonging to the reinitiated motion performed precise experimental design from new perspectives by identifying the mapping in depth and considering the elements of experimental design processes. In the case of the backward-divergent motion, they shifted their positions to new directions, but the concreteness of experimental design was insufficient due to the lack of mapping or considering the elements. In the type of stationary motion, maintaining their previous positions, they showed less performance of experimental design without considering the elements sufficiently. Educational implication of these findings are discussed.