• 제목/요약/키워드: Abstract thinking

검색결과 115건 처리시간 0.025초

과학자의 과학지식 생성 과정에 대한 심층 면담 요구 (An Intensive Interview Study on the Process of Scientists' Science Knowledge Generation)

  • 양일호;정진수;권용주;정진우;허명;오창호
    • 한국과학교육학회지
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    • 제26권1호
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    • pp.88-98
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    • 2006
  • 이 연구의 목적은 과학자들의 과학지식 생성 과정을 밝히는 것이었다. 이를 위해 저명한 과학학술지에 세계적 수준의 논문을 3회 이상 발표한 과학자 중 연구에 적합한 과학자 4명을 선정했다. 그리고 이 과학자들이 발표한 최근의 논문들을 분석하여 과학지식 생성 과정을 전체적으로 기술했고, 심층 면담을 통해 지식 생성 과정의 세부 과정을 추가하여 프로토콜을 완성했다. 이렇게 완성된 프로토콜을 인지 과정 모형화 절차에 따라 분석했다. 연구 결과에 의하면, 과학자들의 과학지식 생성 과정은 크게 귀납적 과정, 귀추적 과정, 연역적 과정으로 구분된다. 먼저 귀납적 과정은 단순 관찰과 조작 관찰을 포함한다. 여기에서 조작 관찰은 '의문 생성 $\rightarrow$ 추측/예측 $\rightarrow$ 조작방법 설계 $\rightarrow$ 조작 $\rightarrow$ 단순 관찰' 등의 하위 과정을 포함한다. 그리고 귀추적 과정은 의문 생성 과정과 가설 생성 과정으로 구분된다. 여기에서 가설 생성 과정은 '사실 인식 $\rightarrow$ 경험상황표상 $\rightarrow$ 원인적설명자 동정 $\rightarrow$ 원인적설명자 차용 $\rightarrow$ 가설적설명자 조합 $\rightarrow$ 가설 확인' 등의 하위 과정을 포함한다. 마지막으로 연역적 과정은 방법 및 기준 고안 과정과 가설 평가 과정으로 구분된다. 여기에서 방법 및 기준 고안 과정은 '경험검증상황 표상 $\rightarrow$ 경험 검증방법 표상 $\rightarrow$ 경험검증방법 차용' 등의 하위 과정을 포함한다. 그리고 가설 평가는 결과 수집 과정과 가설 평가 및 결론 진술 과정을 포함한다.

이차함수와 타원의 문제해결 지도를 위한 멀티미디어 학습자료 개발 (Development of Instructional Models for Problem Solving in Quadratic Functions and Ellipses)

  • 김인수;고상숙;박승재;김영진
    • 대한수학교육학회지:수학교육학연구
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    • 제8권1호
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    • pp.59-71
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    • 1998
  • Recently, most classrooms in Korea are fully equipped with multimedia environments such as a powerful pentium pc, a 43″large sized TV, and so on through the third renovation of classroom environments. However, there is not much software teachers can use directly in their teaching. Even with existing software such as GSP, and Mathematica, it turns out that it doesn####t fit well in a large number of students in classrooms and with all written in English. The study is to analyze the characteristics of problem-solving process and to develop a computer program which integrates the instruction of problem solving into a regular math program in areas of quadratic functions and ellipses. Problem Solving in this study included two sessions: 1) Learning of basic facts, concepts, and principles; 2) problem solving with problem contexts. In the former, the program was constructed based on the definitions of concepts so that students can explore, conjecture, and discover such mathematical ideas as basic facts, concepts, and principles. In the latter, the Polya#s 4 phases of problem-solving process contributed to designing of the program. In understanding of a problem, the program enhanced students#### understanding with multiple, dynamic representations of the problem using visualization. The strategies used in making a plan were collecting data, using pictures, inductive, and deductive reasoning, and creative reasoning to develop abstract thinking. In carrying out the plan, students can solve the problem according to their strategies they planned in the previous phase. In looking back, the program is very useful to provide students an opportunity to reflect problem-solving process, generalize their solution and create a new in-depth problem. This program was well matched with the dynamic and oscillation Polya#s problem-solving process. Moreover, students can facilitate their motivation to solve a problem with dynamic, multiple representations of the problem and become a powerful problem solve with confidence within an interactive computer environment. As a follow-up study, it is recommended to research the effect of the program in classrooms.

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초등수학 영재학생의 자연수의 연산을 활용한 원형 디자인 - GSP를 활용한 원 디자인을 중심으로 - (A study on the Circular art using a numeral operation for the mathematical gifted - Focused on the design of a circle using GSP -)

  • 박종률;이헌수
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제15권1호
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    • pp.31-40
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    • 2012
  • 본 연구는 영재 교수 학습 과정에서 초동영재학생들에게 자기주도적 발견식 탐구식 학습을 실시하여 학습의 효과를 높이고, 수학적 원리와 수학의 심미성을 갖는 창의적인 산출물을 생산해 낼 수 있는 교수 학습 모형을 개발하고, 개발한 모형으로 수업을 진행한 후 나타난 특징에 대하여 탐구하였다. 그 결과 다음과 같은 결론을 얻었다. 첫째, 개발된 영재 교수 학습 모형은 초등수학 영재학생들에게 자료를 통찰하는 능력과 분석적 연역적 추론 능력과 같은 수학적 창의성을 발현하게 한다. 둘째, GSP를 활용한 원형 디자인은 초등수학 영재학생들에게 수학적 패턴을 시각적으로 표현함으로써 추상화된 규칙을 인식하는데 도움을 준다. 셋째, 자연수의 연산을 활용한 원형 디자인은 초등수학 영재학생들의 수학에 대한 심미성과 창의성을 발현하는데 긍정적인 영향을 준다.

수학교육에서 인문학적 상상력에 대한 소고 (An overview on humanistic imagination in mathematics education)

  • 박만구
    • 한국수학교육학회지시리즈A:수학교육
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    • 제59권2호
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    • pp.185-199
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    • 2020
  • 이 연구의 목적은 수학에 인문학적 상상력을 접목하는 것이 수학교육에 주는 의미를 논의하고, 수학교육에 시사점을 제안하는 것이다. 전통적으로 수학은 추상적 사고를 대상으로 하기 때문에 우리의 삶의 문제와는 거리가 있다고 인식되었다. TIMSS나 PISA와 같은 국제 연구에 따르면, 우리나라 학생들의 수학학업성취도는 다른 선진 국가들의 학생들에 비하여 상대적으로 높으나, 수학에 대한 태도는 매우 부정적이고 삶에 대한 만족도도 낮은 편이다. 수학과 인문학적 상상력을 연계하여 학습하도록 하는 것은 학생들에게 인간의 삶의 문제에 대하여 인문학적인 관점으로 보도록 한다. 이 연구에서는 수학교육을 위한 수학과 인문학적 상상력을 접목의 의미를 생각해 보고, 학교의 수학교육에서 적용해 볼 수 있는 몇 가지 사례를 소개한다. 연구자는 수학을 배우는 궁극적인 이유는 학습자로 하여금 깨달음을 얻도록 하는 것이고, 모두가 보다 행복한 삶을 살아가기 위한 것이어야 한다고 주장한다.

고등학생들의 지형 형성과 지질학적 시간 개념 (High School Students' Conceptions on Landscape Formation and Geological Time)

  • 이용규;한신;정진우;박태윤
    • 대한지구과학교육학회지
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    • 제8권3호
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    • pp.332-345
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    • 2015
  • Earth science is the study to explore the planet in which we live. Among these earth science geology of the area it can be the most critical and important study. However, because of the size and scope is too broad temporal spatial eurona covered in geology is true that many students find difficult about the geology field. In this study, in conjunction with landscape formation of geologic time for the concept to be among the core areas of Geology examined the concept and recognize it as the destination for high school students. Is a test tool for the analysis was adapted for use by Jolley (2010) has developed LIFT (The Landscape Identification and Formation Test). Currently we fix the strip to match the country through a validity check of the curriculum. Results of the study were as follows: First, the ability to check the landscape and formation is expected to estimate the time and the liberal arts students was higher than the natural science students. The reason for this seems to be the influence of learning geographical subjects. Second, the concept of geological time was found to lack both natural science and liberal arts students. The reason is that the students in the previous process because it deals with the concept of geologic time from the top of Earth Science Education II seems to be because there was no chance of learning about geological time. Third, the results confirm the confidence of the students surveyed in the landscape formation time natural science students was higher than liberal arts students. The research measured gender boys higher than girls. Fourth, the students on the landscape and geological time was found to have a number of misconceptions. This appears to be due to the students to feel difficulty in thinking of the concept because the need to understand the abstract geologic time. Therefore, it is necessary just to hold misconceptions about the concept of geology students have through the study of the landscape and geological time.

이론(理論, Theoria)에 있어서의 실기의 의미 (The Meaning of Practice in Theory)

  • 강태성
    • 미술이론과 현장
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    • 제1호
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    • pp.7-22
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    • 2003
  • What is 'Art Theory'? In the western sense, the term poses a vague ambiguity, and in the eastern, it is rather an abstract and metaphysical concept. As for etymology, theory is derived from theoria and theoria from theoros. It refers to an act of viewing or seeing, of course not in a metaphysical sense. Plato understood it as 'eide'. During the time of Plotinus, theoria encompassed gazing at every possible reality, and this gazing, that is theoria, is closely related to reality as aunit that theoriacan perceive. However, we tend to distinguish, as other scientists of dualism have done, studio art from theory since a pre-modern approach to art has been particularly tuned to studio practice, set apart from theory. Therefore, in studio classes, students are expected to learn the subject based on the foundational curriculum methods such as medium, genre, technique:, rather than bringing out their own interpretations and discussing theories. As a result, students have become artists, who are not able to understand their own art. Art professors who conduct class in studio are required to proceed with specific 'theories' as well as 'intellectual reflections'. In this respect, this thesis presents poiesis and an idea of 'acting out'. Although art history and aesthetic theory tend to view art as a finished product, actual art-making and related theories should not only be acknowledged as 'completion' (finition) but also be accompanied by theoretic interpretations of the act itself and process. Accordingly, it is to accept and appreciate art as finished result in view of current theory and aesthetics thus boils down to aisthesis. Likewise, poietics starts from a point where an artist is related to studio and examines the 'work process' that extends as far as to the exact end of work. Through the study of such relationship, it is possible that theory understands 'studio' and 'process', and an artist can grant an independent meaning to studio where s/he pours her/his heart out creating a work of art. Theory is a study on artistic discovery thus should be equipped with functions that can accommodate fortuity, imitation, thinking, culture, and surrounding.

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제품디자인의 조형언어에 대한 연구 -산업디자이너의 연구사례를 중심으로- (A Study on the Form-Language in Product Design -Focus on the Example of the Study from Industrial Designer-)

  • 정충모;이재용
    • 디자인학연구
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    • 제16권2호
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    • pp.243-254
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    • 2003
  • 본 연구는 제품조형에 대한 언어적 연구로 디자이너들의 연구사례의 유형을 분석하고자 했다. 특히 제품조형의 언어적 개념을 도구와 사고의 관계에서 언어적 관계성을 통해서 창출하고자 했다. 언어적인 영역과 비 언어적인 영역에서 조형언어의 역할이 어떡해 활동하고 있는지를 분석하였다. 특히 디자인 프로세스상에 형성되는 조형언어의 역하로 조형해석과 조형개념 창출 즉 아이디어 창출에 대한 디자인 프로세스의 관계성을 파악하였다. 이러한 조형언어가 디자인 사적인 측면에서의 기원과 최초 연구가(EnzoMari)의 연구사례를 제시하였다. 또한 디자이너와 디자인 관련 학자들의 조형언어에 대한 관심을 언어적 측면에서의 다양한 요소로 나누어 분류하였다. 또한 이러한 분류과정을 통해서 제품과 관련된 추상적 이론과 시스템적인 연구보다 구체적인 실무의 사례와 개별화된 제품조형언어에 대한 연구의 필요성을 가지고 이러한 측면을 강조하여 상호문화적인 측면에서 개별화된 실제 제품의 조형 언어의 차이와 관심의 차이 그리고 상호공존 할 수 있는 제품조형언어의 개념 창출을 향후 연구과제로 제안한다.

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전인 교육을 위한 수학 학습 자료 개발.활용에 관한 연구 -대학수학능력시험 이후 고등학교 3학년을 대상으로- (A Study on Development and Utilization of the Mathematical Teaching Materials for the Whole Man Education -For the 3rd Graders in High School after the Scholastic Ability Test-)

  • 이종연
    • 대한수학교육학회지:학교수학
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    • 제3권2호
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    • pp.249-265
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    • 2001
  • In this information-oriented society of the 21st century, our education should combine the knowledge from the past and present in order to have students be ready to solve “the problems in the future”. But nowadays, our social situation makes much importance of the “cramming” education just for the College Scholastic Ability Test rather than the “whole man” education for making creative citizens of the future society. So does mathematics education. In a high school, mathematics education should be toward these aims: recognizing the value of math, applying mathematical principles to actual lives, promoting students' thinking ability. Also, it should focus on teaching higher level of mathematical knowledge which includes more logical and abstract idea so that students can prepare for the global society of the future. This study is about development and utilization of the teaching materials for mathematics class which usually deviates from the routine right after the Scholastic Ability Test finished. These materials are the result of a complete survey of the 3rd graders and their teachers and designed to use for 30 periods of class from after-the-test-finished to graduation. The materials consist of a history of mathematics, puzzles, magic number squares, and so on. Remarkably different from the current textbooks which deal with sets, equations, functions, these materials proved to be useful for their variety and attraction. Consequently, the materials are considered to keep the 3rd graders from forgetting mathematics even after the Scholastic Ability Test, and to help them recognize that mathematics is a kind of basic and cultural study and a tool of daily lives.

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'큰 수의 법칙' 탐구 활동에서 나타난 가추법의 유형 분석 (An Analysis on Abduction Type in the Activities Exploring 'Law of Large Numbers')

  • 이윤경;조정수
    • 대한수학교육학회지:수학교육학연구
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    • 제25권3호
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    • pp.323-345
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    • 2015
  • 본 연구는 통계적 추론과 가추법의 관계를 알아보기 위하여 '큰 수의 법칙' 탐구활동에서 나타난 가추법의 유형을 살펴보았다. Peirce의 가추법, Eco의 가추법 유형, Toulmin의 논증패턴을 바탕으로 통계 수업담화를 분석한 결과, 가추법에 해당하는 수업담화에는 과대 코드화된 가추법이 가장 많이 나타났다. 반면에 학생들의 다양한 사고를 유도하는 과소 코드화된 가추법과 새로운 법칙이나 이론을 만드는 창조적 가추법은 낮은 비율로 나타났다. 추론과정에 사용된 계산기는 추상적 확률 개념을 이해하기 위한 경험적 맥락을 통해 학생들이 추론을 중심으로 한 논증과정에 적극적으로 참여하게 하였다. 이러한 연구 결과를 통해 통계 수업에서는 가추법에 대한 이해와 함께 도구를 이용한 통계적 맥락 형성이 중요함을 알 수 있었다.

Frank Lloyd Wright의 건축작품에 나타난 라이트의 공간 해석과 구성방법에 관한 연구(硏究) (A Study on F. L. Wright's Interpretation of the Space and the Method of the Composition in his architectural works)

  • 오장환;이강업
    • 건축역사연구
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    • 제7권4호
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    • pp.29-47
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    • 1998
  • The aim of this study is to understand the original methods of architectural composition in F. L. Wright's works, For this purpose, the principal thoughts based on his organic architecture was examined over all others, and the results of this study are as follows. 1. F. L. Wright knew Taoist Philosophy, especially Lao-tzu's thought about space based on traditional oriental arts included traditional japanese arts by his superior intuition. this is similar to Froebel Thought in the principal theory, that is, his own unique field of abstract architectural education with three-dimensional geometry learned through Froebel Gifts. 2. Space is reality ; such Lao-tzu's thought, reversed the sense of values, influenced F. L. Wright's way to accomplish his own continuous space. that is to say, he attempted taking precedence of spatial organization by the unit of three-dimensional module made the substance, Froebel Blocks (3, 4, 5, 6 Gifts) into non-substance, and trying to do the methods of continuous liberal composition in architecture. which is his original accomplishment, namely his mentioned 'democratic' because of judging the space and the mold of architecture as individualities. 3. F. L. Wright treated the space as a positive entity, so that he created his own architecture organically combined with spaces and forms. : This was the result that he comprehended both formative, physical worth in West and spatial, non-physical worth in East as equivalence. It is understood that F. L. Wright's works combined with East and West are the significance of his architecture and the progress of true internationalities and modernization in modern architecture. 4. From the analyses of his works, we knew the fact that F. L. Wright's architecture, especially in the spatial organization were performed by the reasonable methods with geometric system of Froebel Gifts. In the observation of our fundamental way of thinking on his architecture, this study shows the necessity to let us get out of preconceptions and conclusions that the organic architecture is mysterious and difficult, but to systematize and put his organic methods to practical use.

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