• Title/Summary/Keyword: analogical thinking

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Influence of the Auxiliary Questions of Word Problems on the Problem Solving and Mathematical Thinking of Elementary School Students (문장제의 보조문항이 초등학생의 문제해결과 수학적 사고에 미치는 영향)

  • Yim, Youngbin
    • Education of Primary School Mathematics
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    • v.23 no.2
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    • pp.73-85
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    • 2020
  • The purpose of this study was to examine the influence of the auxiliary questions of word problems presented to students on their problem solving-strategies and mathematical thinking and to discuss the educational implications of the results. As a result of making an analysis, problems that included auxiliary questions to give information on workable problem-solving strategies made it more possible for students of different levels to do relatively equal mathematical thinking than problems that didn't by inducing them to adopt efficient problem-solving strategies. And they were helpful for the students in the middle and lower tiers to find a clue for problem solving without giving up. But it's unclear whether the problems that provided possible strategies through the auxiliary questions stirred up the analogical thinking of the students. In addition, due to the impact of the problems provided, some students failed to adopt a strategy that they could have come up with on their own. On the contrary, when the students solved word problems that just offered basic recommendation by minimizing auxiliary questions, the upper-tiered students could devise various strategies, but in the case of the students in the middle and lower tiers, those who gave up easily or who couldn't find an answer were relatively larger in number.

Doctor Faustus and the Language of Magic (말로우의 『포스터스 박사의 비극』과 마법의 언어)

  • Park, WooSoo
    • Journal of English Language & Literature
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    • v.56 no.2
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    • pp.237-253
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    • 2010
  • In Christopher Marlowe's Cambridge days in the 1580s, the British forward wits were engaged in the curious pursuit of magic and occult philosophy in order to discover the mystery of things. Magic, together with judiciary astronomy, astrology, mathematics, and logic, was one of the most practical disciplines. Marlowe, Shakespeare, and Jonson demonstrate their deep interest in magic and its language of spell and charms in the light of their analogical application to the alchemical theatre. As Shakespeare says that the poet, the lover, and the madman are of the same because they give forms to airy nothing, a magical illusion is, for the three playwrights, similar to the theatrical illusion in that both magic and theatre work in and by a language and both give us sportive pleasures through the deceptio visus. However, while Jonson is rather puritanically antagonistic to the illusive language of alchemy and magic, Marlowe and Shakespeare are attracted to the rapturous nature of the absolute language of magic. Doctor Faustus' indulgence in magic stands for the Marlovian aspiration for the absolute language which allows no discrepancy between thinking and willing, conceiving and actualizing. His uses of spells, charms, anagrams, and magic books are transformed and translated in the play into an alchemical theatre. Faustus is dependant on and bound by his books of magic, as is the actor on the stage. Faustus is the poet condemned from the beginning. Though he is mistakenly thinking that it is he himself that manipulates Mephostophilis the magical agent, it is otherwise. Faustus is a shadow or an actor in the Elizabethan language. He remains a farcical figure during the twenty-four years which are given to him for his sensual dalliance. Marlowe never forgets through his farcical clowning to satirize such Catholic rituals as exorcism and benediction for their illusive theatricalism. The sports of Faustus' playacting and play-directing rise at the last hour to the height of a tragedy. Ironically Marlowe the playwright succeeds as a tragedian at the point where Faustus fails as a magician.

A Study on Using Method of Analogy for Creativity Enhancement(1) - Experimental Study Focused on the Design Task of Commercial Space - (창의성 증진을 위한 유추의 활용방법(1) - 상업공간 디자인과제를 중심으로 한 실험연구 -)

  • Choi, Eun-Hee
    • Korean Institute of Interior Design Journal
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    • v.19 no.4
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    • pp.31-38
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    • 2010
  • The objective of this study is to find a educational method that is able to increase creativity using both left and right directed thinking with complementary cooperation. The premise of experimental study is that analogical inference is a great help to make a creative design, and design tasks of commercial space, fashion shop and herb cafe are given to 25 students, voluntary participants in experimental tests. Tests make a clear distinction between a case using verbal analogy from many keywords and another case using verbal visual analogy from keywords and visual images. Consequently, when students use both verbal and visual analogy in solving design tasks their creative ability qualitatively as well as quantitatively is higher than in using verbal analogy. However, when students are classified with high and low sketching group verbal visual analogy is effective for students with high sketching ability to enhance both practicality and originality. Even students with low sketching ability can improve originality remarkably by using verbal visual analogy. In experiment there is time limit, a hour, but in actual studio class it is desirable that an educator guides the latter to make up for the weak points in practicality of their design taking time. Further study will be progressed with the design tasks of residential space to compare with the findings of this study.

A Study on the Types of Design Problem Solving by Analogical Thinking - Focused on the Analysis of Associated Words and Sketch - (유추적 사고에 의한 디자인 문제해결의 유형 - 연상된 단어와 스케치 분석을 중심으로 -)

  • Choi, Eun-Hee;Choi, Yoon-Ah
    • Korean Institute of Interior Design Journal
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    • v.16 no.2 s.61
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    • pp.63-70
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    • 2007
  • Analogy in problem solving is similarity-based reasoning facilitated by verbal and visual operation. This similarity-based reasoning generally supports initial phase of idea search. Therefore, this study intends to infer the types of problem solving by tracing the analogy use of verbal and visual representation through a experimental research. According to the result of this research, the types of problem solving by analogy are classified into 'evolving', 'divergent', and 'poor conversion' type. Firstly, 'evolving type' is distinguished between 'combination type' associated different contents to develope a new design and 'transformation type' associated similar words and sketches to be continuously revised and developed. In these types usually structural analogy rather than surface analogy is used. Secondly, in 'divergent type' associated words or sketches are individually represented, and among them one design solution is selected. In this type usually surface analogy is used. Thirdly, in 'poor conversion type' interaction between verbal representation and visual representation does not go on smoothly, and the generation of idea is poor. In here surface analogy is mostly used. These findings could form the basis of skill development of idea generation and conversion in design education.

A Study on Using Method of Analogy for Creativity Enhancement(2) - Experimental Study Focused on the Design Task of Residential Space - (창의성 증진을 위한 유추의 활용방법 (2) - 주거공간 디자인 과제를 중심으로 한 실험연구 -)

  • Choi, Eun-Hee
    • Korean Institute of Interior Design Journal
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    • v.19 no.6
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    • pp.38-46
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    • 2010
  • The objective of this study is to find an educational method that is able to increase creativity using both left and right directed thinking with complementary cooperation. The premise of experimental study is that analogical inference is a great help to produce a creative design, and the design tasks of residential space are given to 20 students, voluntary participants in four experimental tests. The first test is conducted with fundamental conditions such as site or location, users and their design requirements. Other three tests make a clear distinction with three cases using verbal analogy from many keywords, using visual analogy from many images and using verbal visual analogy from keywords and visual images. Consequently, when students use both verbal and visual analogy in solving design tasks their creative ability qualitatively as well as quantitatively is higher than in using only verbal analogy or visual analogy. Further study will be progressed with the design tasks of residential space in order to have an effective verification by comparing students' design results classified into two groups. One is a control group that consists of sophomore students in a college and another is a comparison group that consists of sophomore students in an university.

The Effects of Authentic Open Inquiry on Cognitive Reasoning through an Analysis of Types of Student-generated Questions (학생들이 제시한 질문의 유형 분석을 통한 개방적 참탐구 활동의 인지적 추론 측면의 효과)

  • Kim, Mi-Kyung;Kim, Heui-Bafk
    • Journal of The Korean Association For Science Education
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    • v.27 no.9
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    • pp.930-943
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    • 2007
  • The purpose of this study was to investigate if students may actually experience scientific reasoning based on an epistemology of authentic science during authentic open inquiry. The samples were 86 10th graders in a science-high school in Seoul. The experimental group practiced authentic open inquiry and the control group practiced traditional school science inquiry in five weeks. Then, the questions students asked while performing inquiry tasks were analyzed. The frequency of the questions asked by students was almost same between two groups, however, the types of questions were different. The frequency of thinking questions in experimental group was higher than the control, and the difference was statistically significant (P<.01). Particularly, the frequency of expansive thinking questions and anomaly detection questions was much higher in experimental than the control group. Judging from the result, with the students from the experimental group asking questions reflecting on the epistemology of authentic science such as scientific methods, anomalous data, and uncertainty about reasoning, students may understand authentic science features during the activities of open authentic inquiry. The result from comparing questions according to the inquiry subject showed that more openness caused the higher frequency of anomaly detection questions and strategy questions, but that inductive thinking questions and analogical thinking questions were connected to inquiry subject rather than the openness of the inquiry.

Exploring the Factors Influencing the Understanding of the Nature of Science through Authentic Open Inquiries (개방적 참탐구 활동에서 학생들의 과학의 본성에 대한 이해에 영향을 미치는 요인 탐색)

  • Kim, Mi-Kyung;Kim, Heui-Baik
    • Journal of The Korean Association For Science Education
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    • v.28 no.6
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    • pp.565-578
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    • 2008
  • The purpose of this study is to search for the factors that influence students' understanding of the nature of science through the experience of the cognitive processes of authentic open inquiries. The freshmen of a science high school practiced authentic open inquiries reflecting epistemological characteristics of authentic science. The case study was conducted with four focus students who were successful or unsuccessful at learning the nature of science during the authentic open inquiry activity. Questions that the focus students asked during the inquiries as well as students' answers to pre- and post-VNOS (C type) were analysed, and then elaborated in the semi-structured interview. The findings suggest that open inquiry activities provide the inquiry contexts that help science high school students to understand the nature of science, and that the characteristics of students' cognition influence the understanding of the nature of science. For instance, designing experiments with their own research questions had an influence on the students' understanding about the scientific methods and the diversity of research types, and drawing conclusions from their own data made students experience scientific reasoning. In addition, the experience of collecting anomalous data helped students to understand the role of inferences in generating scientific knowledge and the creative nature of scientific knowledge. In this inquiry context, the reflective thinking that came from proactive discussion among students, made students think about the validity of the designing experiments and interpreting data, and helped them to understand the uncertain nature of reasoning and the diverse nature of scientific methods. Moreover, divergent thinking linked to analogical thinking helped students to understand the creative nature of science.

The Meaning of Jongyong(從容) in the 『Huangdineijing』 (『황제내경(黃帝內經)』의 '종용(從容)' 의미에 대한 연구(硏究))

  • Lyu, Jeong-ah
    • Journal of Korean Medical classics
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    • v.33 no.4
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    • pp.1-19
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    • 2020
  • Objectives : This paper aims to understand the meaning and utilitarian values of 'Jongyong(從容)' in medicine by studying its meaning in the 『Huangdineijing』. Methods : Examples of 'Jongyong(從容)' usages in Chinese literature and classical texts were studied first. Next, the similarities and characteristics of its contexts in discourses between Leigong and Huangdi were examined, followed by further examination of the overall meanings of the six chapters, 「Shicongronglunpian(示從容論篇)」, 「Zhuzhijiaolunpian(著至敎論篇)」, 「Shuwuguolunpian(疏五過論篇)」, 「Zhengsishilunpian(徵四失論篇)」, 「Yinyangleilunpian(陰陽類論篇)」, 「Jiejingweilunpian(解精微論篇)」 and the verses that include 'Jongyong(從容).' Results : Generally 'Jongyong(從容)' describes a resilient attitude that responds appropriately and calmly to difficult external situations while maintaining one's character, or refers to one's general behavior. In the 『Huangdineijing』, 'Jongyong(從容)' is only mentioned in discourses between Leigong and Huangdi, which talks about ancient East Asian clinical medicine in general, its transmission and education. Here, the meaning of 'Jongyong(從容)' could be summarized as an expansion of analogical thinking[引比類], medical work that involves the physician's commitment(人事), and detailed measurement of yinyang difference in the body(刑法, 陰陽, 治數). Discussion : In ancient East Asian medicine, the meaning of 'Jongyong(從容)' is closer to measurement of the yinyang difference rather than differentiation of the five element analogy. It is a medical practice that measures the shape, volume, length, area, height, concentration etc. of the human body in numerical figures to allow for the most subtle comparison, which was an important aspect of the physician's work that needed to be demonstrated, educated and transmitted to later generations to enable continuity of the medical profession.

Research on Cognitive Load Theory and Its Design Implications for Problem Solving Instruction

  • KWON, Sukjin
    • Educational Technology International
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    • v.11 no.1
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    • pp.93-117
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    • 2010
  • The purpose of this study was to develop the problem solving instruction facilitating novice learner to represent the problem. For the purpose, we mainly focused on three aspects of problem solving. First, learner should represent the targeted problem and its solutions for problem solving. Second, from crucial notions of cognitive load theory, learner's mental load should be optimized for problem representation. Third, for optimizing students' mental load, experts may support making their thinking more visible and mapping from their intuition to expert practice. We drew the design principles as follows. First, since providing worked examples for the targeted problem has been considered to minimize analogical errors as well as reduce cognitive load in problem representation at line of problem solving and instructional research, it is needed to elaborate the way of designing. The worked example alternatively corresponds to expert schema that consists of domain knowledge as well as strategies for expert-like problem representation and solution. Thus, it may help learner to represent what the problem is and how to solve it in problem space. Second, principle can be that expert should scaffold learner's self-explanations. Because the students are unable to elicit the rationale from worked example, the expert's triggering scaffold may be critical in that process. The unexplained and incomplete parts of the example should be completed not by expert's scaffold but by themselves. Critical portion of the expert's scaffold is to explain about how to apply and represent the given problem, since students' initial representations may be reached at superficial or passive pattern of example elaboration. Finally, learner's mental model on the designated problem domain should be externalized or visualized for one's reflection as well as expert's scaffolding activities. The visualization helps learner to identify one's partial or incorrect model. The correct model of learner could be constructed by expert's help.

The Relationships among Students' Mapping Understanding, Mapping Errors and Cognitive/Affective Variables in Learning with Analogy (비유를 사용한 수업에서 학생들의 인지적.정의적 특성과 대응 이해 및 대응 오류 유형과의 관계)

  • Kim, Kyung-Sun;Hwang, Sun-Young;Noh, Tae-Hee
    • Journal of the Korean Chemical Society
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    • v.54 no.1
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    • pp.150-157
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    • 2010
  • In this study, we investigated the differences of mapping understanding and the types of mapping errors by the levels of students' cognitive/affective variables and the relationships between mapping understanding and these variables in learning 'concentration and reaction rate' with analogy. After administering the tests regarding logical thinking ability, visual imagery ability, analogical reasoning ability, self efficacy, and need for cognition as pretests, students learned with analogy. Then, students' familiarity and mapping understanding were examined. Analyses of the results revealed that the scores of the mapping understanding for the students with higher levels of all cognitive/affective variables except visual imagery ability and familiarity were significantly higher than those for the students with lower levels. The differences in the types of the mapping errors such as overmapping, failure to map, impossible mapping, artificial mapping, mismapping, rash mapping, and retention of a base feature were also found by the levels of students' cognitive and affective variables. The scores of students' mapping understanding were positively correlated with those of all cognitive and affective variables. The results of multiple regression analysis indicated that students' science achievement, logical thinking ability, and familiarity were significant predictors of mapping understanding. Educational implications of these findings are discussed.