• Title/Summary/Keyword: Analogical Reasoning

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An Analysis of Features in Self Generated Analogies during Phaseal Teaching Learning Process about Mixture Using Analogy for Lower Elementary School Students (초등학교 저학년 학생들의 단계적 비유추론 학습과정을 통한 혼합물 학습 과정에서 제시된 생성적 비유의 특징 분석)

  • Jung, Jin Kyu;Kim, Youngmin
    • Journal of Korean Elementary Science Education
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    • v.34 no.4
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    • pp.419-433
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    • 2015
  • Analogical reasoning is a central component of human cognition and contributes to scientific discovery and to develop science education. In this study, we investigated the process features of lower elementary school students' analogical reasoning to explain mixture concept. The subjects are 24 lower elementary students. And the research design includes three phases instruction to investigate the features of students' self generated analogy. Phase 1 is the introduction of analogy in which student learn to use analogy. Phase 2 is a POE class about mixture conception. Piaget and Inhelder studied the conception of mixing among children in relation to cognitive development. In phase 2, we taught the student with Piaget and Inhelder's the experiment and observed the features of learning process about mixture conception. Phase 3 is students' generation of analogy (self generated analogy) for the experienced phenomena in phase 2. We analyzed the students' responses through the three phases in the view of Gentner's Structure Mapping Theory. The results showed that many lower elementary school students even before formal operation stage understood the mixture conception and made well their self generated analogy to explain the mixture conception in spite of the difficulty of making self generated analogy.

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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Middle School Students' Analogical Transfer in Algebra Word Problem Solving (중학생을 대상으로 한 대수 문장제 해결에서의 유추적 전이)

  • 이종희;김진화;김선희
    • The Mathematical Education
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    • v.42 no.3
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    • pp.353-368
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    • 2003
  • Analogy, based on a similarity, is to infer the properties of the similar object from properties of an object. It can be a very useful thinking tool for learning mathematical patterns and laws, noticing on relational properties among various situations. The purpose of this study, when manipulating hint condition, figure and table conditions and the amount of original learning by using algebra word problems, is to verify the effects of analogical transfer in solving equivalent, isomorphic and similar problems according to the similarity of source problems and target ones. Five study questions were set up for the above purpose. It was 354 first grade students of S and G middle schools in Seoul that were experimented for this study. The data was processed by MANOVA analysis of statistical program, SPSS 10.0. The results of this studies would indicate that most of the students would be poor at solving isomorphic and similar problems in the performance of analogical transfer according to the similarity of source and target problems. Hints, figure and table conditions did not facilitate the analogical transfer. Merely, on the condition that amount of teaming was increased, analogical transfer of the students was facilitated. Therefore, it is necessary to have students do much more analogical problem-solving experience to improve their analogical reasoning ability through the instruction program development in the educational fields.

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An approach to development of scientific thinking skills through science inquiry play of analogy (과학적 사고력의 신장을 위한 과학비유탐구놀이 학습방법의 구안)

  • 현동걸
    • Journal of Korean Elementary Science Education
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    • v.17 no.1
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    • pp.61-73
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    • 1998
  • This research suggests science inquiry play of analogy as a teaming method to help the students in concrete operational stage to develop scientific thinking skills and to understand abstract science conceptions. The research focuses on/considers the characteristics and merits of the science inquiry plays, and the learning method by analogical reasoning. This learning through the science inquiry play of analogy can be considered as a meta-model for scientific thinking skill. The learning has the following processes: 1) Students analogize the abstract science conceptions and facts into play-type activities including the concrete contents such as students themselves, their physical-sensory motions, concrete objects, play methods, and play rules. 2) Students as analogized objects play a role physically and sensuously according to the methods and rules analogized in the play. 3) Students find out the concrete contents included in the science inquiry play of analogy, draw the results, and deduce the new conceptions from the results by reflective thinking and analogical reasoning.

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The Effects of Mathematical Problem Solving depending on Analogical Conditions (유추 조건에 따른 수학적 문제 해결 효과)

  • Ban, Eun-Seob;Shin, Jae-Hong
    • Journal of the Korean School Mathematics Society
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    • v.15 no.3
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    • pp.535-563
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    • 2012
  • This study was conducted to confirm the necessity of analogical thinking and to empirically verify the effectiveness of analogical reasoning through the visual representation by analyzing the factors of problem solving depending on analogical conditions. Four conditions (a visual representation mapping condition, a conceptual mapping condition, a retrieval hint condition and no hint condition) were set up for the above purpose and 80 twelfth-grade students from C high-School in Cheong-Ju, Chung-Buk participated in the present study as subjects. They solved the same mathematical problem about sequence of complex numbers in their differed process requirements for analogical transfer. The problem solving rates for each condition were analyzed by Chi-square analysis using SPSS 12.0 program. The results of this study indicate that retrieval of base knowledge is restricted when participants do not use analogy intentionally in problem solving and the mapping of the base and target concepts through the visual representation would be closely related to successful analogical transfer. As the results of this study offer, analogical thinking is necessary while solving mathematical problems and it supports empirically the conclusion that recognition of the relational similarity between base and target concepts by the aid of visual representation is closely associated with successful problem solving.

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The Effect of an Instruction Using Analog Systematically in Middle School Science Class (중학교 과학 수업에서 비유물을 체계적으로 사용한 수업의 효과)

  • Noh, Tae-Hee;Kwon, Hyeok-Soon;Lee, Seon-Uk
    • Journal of The Korean Association For Science Education
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    • v.17 no.3
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    • pp.323-332
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    • 1997
  • In order to use analog more systematically in science class, an instructional model was designed on the basis of analogical reasoning processes (encoding, inference, mapping, application, and response) in the Sternberg's component process theory. The model has five phases (introducing target context, cue retrieval of analog context, mapping similarity and drawing target concept, application, and elaboration), and the instructional effects of using the model upon students' comprehension of science concepts and motivation level of learning were investigated. The treatment and control groups (1 class each) were selected from 8th-grade classes and taught about chemical change and chemical reaction for the period of 10 class hours. The treatment group was taught with the materials based on the model, while the control group was taught in traditional instruction without using analog. Before the instructions, modified versions of the Patterns of Adaptive Learning Survey and the Group Assessment of Logical Thinking were administered, and their scores were used as covariates for students' conceptions and motivational level of learning, respectively. Analogical reasoning ability test was also administered, and its score was used as a blocking variable. After the instructions, students' conceptions were measured by a researcher-made science conception test, and their motivational level of learning was measured by a modified version of the Instructional Materials Motivation Scale. The results indicated that the adjusted mean score of the conception test for the treatment group was significantly higher than that of the control group at .01 level of significance. No significant interaction between the instruction and the analogical reasoning ability was found. Although the motivational level of learning for the treatment group was higher than that for the control group, the difference was found to be statistically insignificant. Educational implications are discussed.

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The Influences of the Role-playing Analogy in Chemistry Concept Learning on Mapping Understanding and Mapping Errors (화학 개념학습에서 역할놀이 비유가 대응 관계 이해도 및 대응 오류에 미치는 영향)

  • Kim, Kyung-Sun;Yang, Chan-Ho;Noh, Tae-Hee
    • Journal of The Korean Association For Science Education
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    • v.29 no.8
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    • pp.898-909
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    • 2009
  • In this study, we investigated the influences of the role-playing analogy in chemistry concept learning on mapping understanding and mapping errors by analogical reasoning ability level. Seventh-graders (N=151) at a middle school were assigned to the comparison group and the experimental group. The students of the experimental group were taught with the 'running in the circle' role-playing analogy. After the students were taught about 'the relation between volume and pressure of gas', the test of mapping understanding in the next class and the retention test four weeks later were administered. The students with typical mapping errors were also interviewed to investigate their mapping processes. The results revealed that the role-playing analogy in chemistry concept learning improved mapping understanding and its retention regardless of analogical reasoning ability level. It was also found that the students in the experimental group had fewer mapping errors than those in the comparison group. However, there were similar patterns of mapping errors in both groups, and there were no significant differences in the frequencies of each type of mapping errors by analogical reasoning ability level. Educational implication of these findings are discussed.

INTERPOLATIVE REASONING FOE COMPUTATIONALLY EFFICIENT OPTIMAL FUZZY CONTROL

  • Kacprzyk, Janusz
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.1270-1273
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    • 1993
  • Fuzzy optimal control is considered. An optimal sequence of controls is sought best satisfying fuzzy constraints on the controls and fuzzy goals on the states (outputs), with a fuzzy system under control Control over a fixed and specified, implicitly specified, fuzzy, and infinite termination time is discussed. For computational efficiency a small number of reference fuzzy staters and controls is to be assumed by which fuzzy controls and stated are approximated. Optimal control policies reference fuzzy states are determined as a fuzzy relation used, via the compositional rule of inference, to derive an optimal control. Since this requires a large number of overlapping reference fuzzy controls and states implying a low computational efficiency, a small number of nonoverlapping reference fuzzy states and controls is assumed, and then interpolative reasoning is used to infer an optimal fuzzy control for a current fuzzy state.

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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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Object Modeling Supporting Technique By Reuse (재사용을 통한 객체 모델링 지원 기법)

  • Kim, Jeong Ah
    • The Journal of Korean Association of Computer Education
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    • v.5 no.1
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    • pp.99-108
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    • 2002
  • As window programming and internet programming are more required, requirement of the training on the object-oriented programming and the object oriented software development are growing. But, it is not easy to learn new brand methodologies or techniques. In this paper, we tried to apply software reuse to object modeling education for effective learning of new programming and modeling method. In this paper, we present analogical matching techniques for the reuse of object models and patterns in object modeling education. Analogy-based matching is better than keyword-based retrieval for model reuse. Reuse can help to reduce the learning curve of object modeling. Also, by applying analogical reasoning, the performance of retrieval is better than keyword-based retrieval.

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