• The Mathematical Education
• /
• v.55 no.1
• /
• 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.

• Journal of The Korean Association For Science Education
• /
• v.37 no.3
• /
• pp.523-537
• /
• 2017

The purpose of this study is to investigate the features of elementary students' intuitive thinking emerged during problem solving activities as it related to thermal phenomena, focusing on when intuitive thinking appears and how it is related to logical thinking. For this, we presented a problem related to thermal phenomena to nine 5th-grade students, and examined how students' thinking emerged in the activities. We conducted clinical interviews to investigate the thinking process of students. The results of this study are as follows. First, students made their own solutions and justified it later during the emergence process of intuitive thinking. It was also found that students connected concrete materials and abstract concepts intuitively. They solved the problem by making predictions even when information is insufficient. Second, it was shown that intuitive thinking can emerge through the intended strategies such as drawing a mental image, thinking from a different perspective, and integrating methods. These results, which are related to the students' intuitive thinking has received little attention and will be the basis for helping students in the context of discovery of their problem solving activities.

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

• Journal of the Korean Data and Information Science Society
• /
• v.19 no.4
• /
• pp.1101-1110
• /
• 2008

The present paper investigates about the formation of the logical thinking and the intuitive thinking in mathematical concepts with reference to secondary talented students (students aged 16$\sim$17 years). As a main result, we conclude that their preference between the logical and the intuitive thinking does not related to the distinction of the school level and sex, while their consistence between them relates.

• 대한공업교육학회지
• /
• v.34 no.1
• /
• pp.129-154
• /
• 2009

The purpose of this study was to find the effect of intuitive free association and systematic free association on the creativity of high school students group in the conceptual design process. Based on this study result, the conclusion can be summarized as follows. 1. There was meaningful relation between intuitive free association and creativity factor of high school students. Mean value of experimental group A 's creativity and it's factor originality, practicality, elaboration, and fluency which treated intuitive free association was increased. 2. There was meaningful relation between systematic free association and creativity factor of high school students. Mean value of experimental group B 's creativity and it's sub factors: originality, problem solving, elaboration, and fluency which was treated systematic free association was increased. 3. It was found that two different divergent thinking does not show any meaningful difference in creativities of two groups. However, the meaningful difference was found in post creativity test in each groups sub-factors. There was meaningful difference in practicality factor, though there was no meaningful difference in originality, elaboration, fluency factors. Using the obtained results, it was concluded that intuitive thinking and systematic thinking play different roles in practicality which is one of sub-factors of the creativity of high school students. Consequently, it can be concluded that systematic thinking which leads students to take a step to solve a given problem can elicit more scientific thinking, and helps students create more practical solution in problem solving than intuitive thinking that emphasize the quantitative aspect of ideas.

• Journal for History of Mathematics
• /
• v.28 no.5
• /
• pp.263-278
• /
• 2015

As intuition is more unreliable than logic or reason, its studies in mathematics and mathematics education have not been done that much. But it has played an important role in the invention and development of mathematics with logic. So, it is necessary to recognize and explore the value of intuition in mathematics education. In this paper, I investigate the function and role of intuition in terms of mathematical learning and problem solving. Especially, I discuss the positive and negative aspects of intuition with its characters. The intuitive acceptance is decided by self-evidence and confidence. In relation to the intuitive acceptance, it is discussed about the pedagogical problems and the role of intuitive thinking in terms of creative problem solving perspectives. Intuition is recognized as an innate ability that all people have. So, we have to concentrate on the mathematics education via intuition and the complementary between intuition and logic. For further research, I suggest the studies for the mathematics education via intuition for students' mathematical development.

• Journal of Fisheries and Marine Sciences Education
• /
• v.25 no.1
• /
• pp.260-273
• /
• 2013

This study aims to reflect experts' opinions in analyzing a design thinking as foundation of multidisciplinary education. For this purpose, a delphi survey was conducted with 20 experts in three sessions from May 1 to June 25, 2012. To analyze the collected data, descriptive statistics, including frequency, percentage, the mean, and standard deviation were implemented, and internal reliability test on the survey instrument was carried out for statistical processing. The main results are as follows : First, the delphi analysis on intuitive thinking of design thinking suggested 7 items(to pursue the possibility of outside, to pursue the possibility of applying new forms of technology, content planning, facing a complex real-world phenomena etc.). Second, the delphi analysis on logical thinking of design thinking suggested 7 items(executed repeatedly, reasoning and verification, artificial intelligence, a decision support system etc.) Third, the delphi analysis on subjective thinking of design thinking suggested 9 items(user experience measuring, user satisfaction ratings, user requirements analysis, user interface design, behavioral responses of the human etc.). Fourth, the delphi analysis on objective information of design thinking suggested 8 items(information management system, simulation, production process, information exchange and sharing etc.). According to the results of the delphi analysis, design thinking can be seen as the foundation of multidisciplinary education. Suggestions were made for discussion about the main results and further researches.

• International Journal of Advanced Culture Technology
• /
• v.6 no.3
• /
• pp.105-116
• /
• 2018

As an international company in the automotive industry for years, Sichuan Hyundai has encountered serious difficulties since its entering into China. With huge investment and great ambition to conquer the China commercial vehicle market, successive setbacks have put the company in jeopardy. Design thinking, emphasizing "user-driven innovation" can help to look for effective and possible solutions from a very strong and effective perspective. This thesis first provides a comprehensive look of the economic background of China in order to get a overall understanding of the market. Then the paper did an analysis of Sichuan Hyundai from the perspective of design thinking. By identifying the reliability bias of Sichuan Hyundai, key problems such as the product, advertisement and cultural communication were discussed. With a emphasis on the intuitive thinking, the paper provides some feasible solutions and also implications for the future development.

• School Mathematics
• /
• v.15 no.2
• /
• pp.389-404
• /
• 2013

Researchers have suggested that students should be experienced in progress of geometric thinking set out in naive and intuitive level and deduced throughout gradual formalization rather than completed mathematics are conveyed to students for students' understanding. This study examined naive and intuitive thinking of students by investigating students' geometric problem solving without diagrams. The students showed these naive thinking: lack of recognition of relation between problem and conditions, use of intuitive judgement depending on diagrams, lacking in understanding of role of specific case, and use of unjustified assumption. This study suggests implication for instruction in geometry.

• Journal of the Korean Society of Safety
• /
• v.31 no.4
• /
• pp.120-125
• /
• 2016

Usually, a risk can be expressed as a product of likelihood and consequence of a hazard factor. Therefore, conventional risk assessment is carried out by frequency analysis and severity analysis, in turns. However, it is well known that intuitive thinking is another excellent way of thinking of human beings. This study aimed to confirm whether there exist any difference in risk assessment results derived by two different procedures - intuitive and analytical. Thus, the present study showed 10 different illustrations to 30 undergraduate students. Their responses were organized as fuzzy membership functions, and summarized as risk assessments, and compared. The results were also verified with the help of statistical hypothesis testing, which showed no significant difference. On the contrary, however, similarity measure used in fuzzy set theory was not credible as anticipated. Many cases failed to satisfy statistical hypothesis even with similarity measure higher than 0.60 so that only a trend could be accepted. In addition, a subject showed a somewhat consistent logical discrepancy in his response, which implied the necessity of sincere analysis in fuzzy formulations.