• 제목/요약/키워드: Intuitive concept

검색결과 98건 처리시간 0.023초

고등학교에서의 극한개념 교수.학습에 관한 연구 (A Study on Teaching and Learning of the Limit Concept in High School)

  • 박임숙;김흥기
    • 대한수학교육학회지:수학교육학연구
    • /
    • 제12권4호
    • /
    • pp.557-579
    • /
    • 2002
  • The purpose of this study is to find out the problems which are caused when the limit concept of sequences is learned through an intuitive definition and to suggest a way of solving those problems. Students in Korea study the limit concept of sequences through an intuitive definition. They fail to apply the intuitive definition properly to the problems and they are apt to have misconception even though the Intuitive definition is applied properly. To solve these problems, this study examined the develop- mental process of the limit concept of sequences from the Intuitive definition to the formal definition, and looked into the way of students' internalization of the process through a field study. In this study, the levels of the limit concept of sequences possessed by the students at ZPD are as follows; level 0 : Students understand the limit concept of sequences through the intuitive definition. level 1 : Students understand the limit concept of sequences as 'The difference between $\alpha$$_{n}$ and $\alpha$ approaches 0' rather than 'The sequence approaches $\alpha$ infinitely.' level 2 : Students understand the limit concept of sequences through the formal definition. The levels of students' limit concept development were analysed by those criteria. Almost of the students who studied the limit concept of sequences through the intuitive defition stayed at level 0, whereas almost of the students who studied through the formal definition stayed at level 1. Through the study, I found that it was difficult for the students to develop the higher level of understanding for themselves but the teachers and peers could help the students to progress to the higher level. Students' learning ability was one of major factors that make the students progress to the higher level of understanding as the concept was developed hierarchically from Level 0 to Level 2. If you want to see your students get to the higher level of understanding in the limit concept, you need to facilitate them to fully develop understanding in lower levels through enough experiences so that they can be promoted to the highest level.

  • PDF

확률 영역에서의 독립성, 그 직관적 개념과 형식적 정의의 갈등 (Independence in probability, The conflicts between its intuitive concept and formal definition)

  • 조차미;박종률
    • 한국수학교육학회지시리즈A:수학교육
    • /
    • 제47권3호
    • /
    • pp.373-386
    • /
    • 2008
  • In highschool probability education, this study analyzed conflicts between intuitive concept and formal definition which originates from the process of establishing the concept of statistical independence. In judging independence, completely different types of problems requiring their own approach was analyzed by dividing them into two types. By doing so, this study researched a way to view independence as an overall idea. That is purposed to suggest a solution to a conflicts between intuitive concept and formal definition and to help not to judge independence out of wrong intuition. This study also suggests that calculation process which leads to precise perception of sample space and event be provided when we prove independence by expressing events with assembly symbols.

  • PDF

패션 디자인을 위한 체계적, 직관적 접근방법에 관한 고찰 (A Study on the Systematic, Intuitive Approach for Fashion Design)

  • 최윤미
    • 복식문화연구
    • /
    • 제5권1호
    • /
    • pp.71-83
    • /
    • 1997
  • It is the important situation that the fashion industry is faced to enormous changes in the nation and worldwide market. To cope with this situations, it is necessary to clarify that the concept of fashion design and its process. This study was conducted as followings : 1. Fashion design is the process of problem solving including the steps of understanding problem, visualizing the image of a design concept. 2. The systematic and intuitive approach is harmonized to solve the process of fashion design. 3. The step of understanding problem is consist of the analysis of environments, the explanation of problem, the determination of purposes, the definition of problem and the visualizing the image of a design concept. 4. In the step of the visualizing the image of a design concept, the intuitive approaches can be clarifies as the importance of start, the step by step process, the determination of a design concept, the fixations of an image, the image realization through real objects, the diminution a difference between a concept and a visualizing the image and the necessity of exercises.

  • PDF

Intuitive Knowledge of Percentages Prior to Learning

  • Rosenthal, Iris;Ilany, Bat-Sheva;Almog, Nava
    • 한국수학교육학회지시리즈D:수학교육연구
    • /
    • 제13권4호
    • /
    • pp.297-307
    • /
    • 2009
  • This research examined intuitive knowledge of 6th grade students in Israel prior to the formal learning of percentages in school. In other words. the research investigated knowledge of basic concepts and familiarity with the usage of percentages in daily life. Results have shown that students are familiar with the concept of percentages and thai some students are able to handle simple problems composed of common percentages (50% and 25%). However, it was also found that many students had misconceptions that should be taken into account while the subject has been taught.

  • PDF

한국과 미국 6학년 학생들의 직관적 사고에 의한 수학 문제해결 분석 (An Analysis on the Mathematical Problem Solving via Intuitive Thinking of the Korean and American 6th Grade Students)

  • 이대현
    • 한국수학교육학회지시리즈A:수학교육
    • /
    • 제55권1호
    • /
    • pp.21-39
    • /
    • 2016
  • This research examined the Korean and American $6^{th}$ grade students' mathematical problem solving ability and methods via an intuitive thinking. For this, the survey research was used. The researcher developed the questionnaire which consists of problems with intuitive and algorithmic problem solving in number and operation, figure and measurement areas. 57 Korean $6^{th}$ grade students and 60 American $6^{th}$ grade students participated. The result of the analysis showed that Korean students revealed a higher percentage than American students in correct answers. But it was higher in the rate of Korean students attempted to use the algorithm. Two countries' students revealed higher rates in that they tried to solve the problems using intuitive thinking in geometry and measurement areas. Students in both countries showed the lower percentages of correct answer in problem solving to identify the impact of counterintuitive thinking. They were affected by potential infinity concept and the character of intuition in the problem solving process regardless of the educational environments and cultures.

연속확률변수 개념의 직관적 이해에 관한 고찰 (A Study on the Intuitive Understanding Concept of Continuous Random Variable)

  • 박영희
    • 대한수학교육학회지:학교수학
    • /
    • 제4권4호
    • /
    • pp.677-688
    • /
    • 2002
  • The context and intuitive understanding is very important in Statistics Education. Especially, there is a need to mitigate student's difficulty in studying probability density function. One of teaching method this concept is to using relative frequency histogram. But, as using this method, we should know several problems included in that. This study investigate problems in the method for teaching probability density function as gradual meaning of histogram. Also, as alternative approach, this thesis introduce the density curve concept. The application of four methods to teach the concept of the probability density function and analysis of the survey result is done in this research.

  • PDF

직관개념 분석에 관한 연구 (A Concept Analysis of Intuition)

  • 신경림
    • 대한간호학회지
    • /
    • 제24권2호
    • /
    • pp.206-215
    • /
    • 1994
  • Intuition is an abstract concept which is most often thought of as a nonrational, nonscientific mode of thought. However, since there are so many amorphous definitions of intuition that it seems important to clarify the meaning of this concept. Therefore, this study use the process of Walker & Avant’s concept analysis to define of the concept of intuition Attributes of intuition were defined as 1) Knowledge of truth that is difficult to explicate ; 2) A type of immediate knowing ; 3) Knowlwdge without reasining analysis ; 4) Knowledge that is attained based on virtue character which integrates all matter and is not attained through individual experience. Antecedents of intuition consists of 1) as ground for knowledge or truth that is not availables to trace through the analytic procedures ; & 2) the flow of Ki which unites human beings and the universe. Consequences of intuition events or incidents occuring as a result of the concept consist of verification of the truth though analytic procedures and application of knowledge in both theoretical and practical ways. To develop intuitive ability, as an educator should not only make studies in recognizine, analysing and teaching concepts related to logical, rational decision making but should also recognize and teach concepts related to intuitive components of making decisions in clinical practice and classroom learning as well.

  • PDF

경험적 감성 정보에 의한 직관적인 아이디어 발상 기법 (Intuitive conception method based on the experiential emotion information)

  • 허성철
    • 감성과학
    • /
    • 제6권1호
    • /
    • pp.1-10
    • /
    • 2003
  • 인간이 어떤 것에 대하여 경험을 할 때에, 그 경험은 지식이라고 하는 형식으로 뇌에 보존됨과 동시에, 상황에 따라서는 직관적인 판단을 위한 정보로서 역할을 수행한다. 이러한 관점에서 본 연구에서는, 디자인 컨셉 작성에 필요한 여러 가지 요소에 대하여 직관적인 판단을 하고, 시각적인 컨셉을 작성했을 때, 그것이 아이디어 발상에 미치는 영향의 특징을 분석하는 것을 목적으로 하였다. 실험은 두 가지 단계로 진행하였다. 첫 번째는, '새로운 디지털 카메라의 디자인'이라는 과제 수행을 위하여, 디지털 카메라의 12가지 구성 요소의 관계를 직관적으로 판단하여 일정한 공간에 배치하도록 하였다. 그 다음, 배치된 각 구성요소의 관계를 고려하여 아이디어 스케치를 진행하도록 하였다. 실험 결과, 직관적인 판단에 의해서 시각화된 컨셉은, 구조적인 사고, 다양한 형태의 전개, 구체적인 조작 방법의 제안, 그리고 자신의 스케치를 설명하기 쉽게 표현하는 것에 많은 영향을 미치는 것이 확인되었다. 그러나, 인간의 자유로운 감성적인 발상은, 조건의 제약에 의한 구조화가 아닌 것도 알 수 있었다.

  • PDF

함수의 연속성 개념의 역사적 발달 과정 분석 - 직관적 지도의 보완을 중심으로 - (An Historical Investigation of the Historical Developments of the Concept of Continuous Functions)

  • 정연준;김재홍
    • 대한수학교육학회지:수학교육학연구
    • /
    • 제23권4호
    • /
    • pp.567-584
    • /
    • 2013
  • 학교수학에서 함수의 연속성은 그래프를 이용하여 직관적으로 지도된다. 이는 일반적인 지도 방식이지만, 여러 연구자들이 이에 대한 문제를 제기하고, 형식적 측면이 강화된 방안이 대안으로 제시되고 있다. 본 논문은 함수의 연속성의 역사적 발달 과정을 분석하여, 직관적 지도를 보완하기 위하여 고려해야 할 시사점을 제시하는 것을 목적으로 한다. 역사적 분석 결과, 세 가지 관점에서 연속적인 변화를 분석하여 함수의 연속성에 대한 개념적 이해의 토대를 풍부하게 하고, 함수의 연속성 정의의 기반이 되는 연속적인 변화에 대한 관점을, 다른 관점과 함수 관계의 여러 표현 방식과의 관계를 종합하는 과정을 거치는 것을 직관적 지도를 위한 시사점으로 제안하였다.

  • PDF

수학 문제해결 과정에 나타난 초등학생들의 직관적 사고 분석 (An Analysis of Intuitive Thinking of Elementary Students in Mathematical Problem Solving Process)

  • 유대현;강완
    • 한국수학교육학회지시리즈C:초등수학교육
    • /
    • 제12권1호
    • /
    • pp.1-20
    • /
    • 2009
  • 초등학생들의 수학문제해결과정에서 나타나는 직관적 사고는 오류를 일으키기도 하지만 강력한 문제해결 방법으로 작용하기도 한다. 이에 초등학생의 문제 해결과정에서 나타나는 직관적 사고를 관찰하여 분석하여 다음과 같은 결론을 얻을 수 있었다. 첫째, 학생들은 문제해결 과정에서 문제의 계산 절차나 알고리즘을 알고 있는 경우, 직관적 사고에 의존하기보다는 알고리즘에 의한 풀이에 의존하려는 경향을 보였다. 둘째, 학생들은 직관적 사고를 통한 시각적 모델을 구안하여 문제를 해결하는 능력이 떨어지며, 시각적 모델을 사용하여 문제를 해결한다 하더라도 자신의 답에 대한 확신감이 떨어진다. 셋째, 문제해결 과정에서 직관적 사고와 논리적 사고 사이에 상호 보완관계가 나타났다. 넷째, 확률의 개념과 확률에 관한 문제해결 과정에서 학생들은 자신의 주관적 해석을 통한 인식론적 장애를 일으켰다.

  • PDF