• Journal of Educational Research in Mathematics
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• v.12 no.4
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• pp.557-579
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• 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.

• The Mathematical Education
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• v.47 no.3
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• pp.373-386
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• 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.

• The Research Journal of the Costume Culture
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• v.5 no.1
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• pp.71-83
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• 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.

• Research in Mathematical Education
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• v.13 no.4
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• pp.297-307
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• 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.

• The Mathematical Education
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• v.55 no.1
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• pp.21-39
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• 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.

• School Mathematics
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• v.4 no.4
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• pp.677-688
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• 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.

• Journal of Korean Academy of Nursing
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• v.24 no.2
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• pp.206-215
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• 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.

• Science of Emotion and Sensibility
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• v.6 no.1
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• pp.1-10
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• 2003

Information gathered through experience transforms into knowledge and such knowledge becomes a foundation for intuitive decisions. Based on such background, the following study investigates intuitive decision making on basic elements needed for design concepts and visual conceptualizations. The study consist two phases. first, 12 structural elements of a digital camera and relation between each elements were arranged intuitively on a board. Next, sketches were generated with relationship of structural elements in mind. As a result of the study, concept with intuitive decisions effect structural thinking, various developments, specific operation methods , and sketch expressions. However, study also revealed that the freedom of human emotions don't accord with the qualification map.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.567-584
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• 2013

In school mathematics, the concept of continuous functions has been intuitively taught. Many researches reported that many students identified the continuity of function with the connectedness of the graphs. Several researchers proposed some ideas which are enhancing the formal aspects of the definition as alternative. We analysed the historical developments of the concept of continuous functions and drew pedagogical implications for the intuitive teaching of continuous functions from the result of analysis.

• Education of Primary School Mathematics
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• v.12 no.1
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• pp.1-20
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• 2009

The purposes of this study are to analyze elementary school student's intuitive thinking in the process of mathematical problem solving and to analyze elementary school student's errors of intuitive thinking in the process of mathematical problem solving. According to these purposes, the research questions can be set up as followings. (1) How is the state of illumination of the elementary school student's intuitive thinking in the process of mathematical problem solving? (2) What are origins of errors by elementary school student's intuitive thinking in the process of mathematical problem solving? In this study, Bogdan & Biklen's qualitative research method were used. The subjects in this study were 4 students who were attending the elementary school. The data in this study were 'Intuitine Thinking Test', records of observation and interview. In the interview, the discourses were recorded by sound and video recording. These were later transcribed and analyzed in detail. The findings of this study were as follows: First, If Elementary school student Knows the algorithm of problem, they rely on solving by algorithm rather than solving by intuitive thinking. Second, their problem solving ability by intuitive model are low. What is more they solve the problem by Intuitive model, their Self- Evidence is low. Third, in the process of solving the problem, intuitive thinking can complement logical thinking. Last, in the concept of probability and problem of probability, they are led into cognitive conflict cause of subjective interpretation.