• The Mathematical Education
• /
• v.38 no.2
• /
• pp.159-164
• /
• 1999

The purpose of this paper is to find role of in and logic in creative problem solving process. Intuition and logic have played an important role in creative problem solving process. Nevertheless, Intuition has been treated less importantly than logic. Therefore, I intend to review the role of intuition, and then the relationship of intuition and logic, and the role of intuition and logic in creative problem solving process. Although intuition gives an important clue in problem solving process, it may sometimes cause an error. This fact gives an idea that intuition and logic have to be harmoniously cultivated. In fact, Intuition and logic have been playing a complementary role in creative problem solving process. A creative learner is regarded as a mathematician of his age. It must be through intuition and logic that he/she solves the problem creatively, just as a mathematician invents the new mathematical fact through unconscious and conscious process. In this respective, teachers also should make every effort to cultivate intuition and logic themselves.

• 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 Educational Research in Mathematics
• /
• v.26 no.3
• /
• pp.565-581
• /
• 2016

Intuition in the mathematical problem solving has been stressed the importance with the logic because intuition is the cognition that give significant clue or idea to problem solving. Fischbein classified intuition by the origin; primary intuition and secondary intuition And he said the role of the personal experience and school education. Through these precedent research, we can understand the social influence. This study attempt to investigate social intuition model of Haidt, moral psychologist that has surfaced social property of intuition in terms of the mathematical problem solving. The major suggestions in problem solving and the education of intuition are followed. First, I can find the social property of intuition in the mathematical problem solving. Second, It is possible to make the mathematical problem solving model by transforming the social intuitionist model. Third, the role of teacher is important to give the meaningful experience for intuition to their students. Fourth, for reducing the errors caused by the coerciveness and globality of intuition, we need the education of checking their own intuition. In other words, we need intuition education emphasized on metacognition.

• The Journal of Asian Finance, Economics and Business
• /
• v.7 no.6
• /
• pp.465-473
• /
• 2020

The objective of this research is to study the confirmative components of strategic intuition capability and the study of causal influence between strategic intuition capability and firm performance of SMEs in Thailand. The consistency method, structural equation models and empirical data were used to test the influential factors on firm performance. Models were then proposed for the development of the strategic intuition capability of entrepreneurs in Thailand. The research sample consisted of 342 SME provincial champion entrepreneurs listed with Thailand's Office of Small and Medium Enterprises. The research results reveal that the model of strategic intuition capability responded well to the empirical data. Additionally, a relationship was identified between firm performance and the causal influence of the strategic intuition capability of entrepreneurs. In accordance with the empirical data, the strategic intuition capability of entrepreneurs had a significant causal influence on firm performance (Chi-square = 35.71, df = 25, P-value = 0.07615, GFI = 0.98, AGFI = 0.96, RMSEA = 0.033, RMR = 0.027). Furthermore, with respect to the development of strategic intuition capability, the development of genuine wisdom based on systematic knowledge management achieved via conscious mental concentration may lead to the next stage of strategic intuition.

• Journal for History of Mathematics
• /
• v.18 no.2
• /
• pp.23-30
• /
• 2005

Intuition has played an important role in process of invention of mathematics and given understanding of mathematical truth and the direction of solution. So, I review about intuition in history of mathematical philosophy and mathematics because we need systematic research about intuition for search of the methods for enhancement of intuition in mathematics education. According to the research of scholars who emphasize intuitive education, intuition is common feature which everybody hold and is not special feature which particular person hold. In addition, intuition is universal ability that can enhance by proper instruction. So, we have to emphasize the importance of the development of intuition and education which emphasize creative thought via intuition.

• Asia-Pacific Journal of Business Venturing and Entrepreneurship
• /
• v.9 no.1
• /
• pp.15-23
• /
• 2014

A Case Study on Venture and Small-Business Executives' Use of Strategic Intuition in the Decision Making Process This paper is a case study on how Venture and Small-Business Executives managers can take advantage of their intuitions in situations where the business environment is increasingly uncertain, a novel situation occurs without any data to reflect on, when rational decision-making is not possible, and when the business environment changes. The case study is based on a literature review, in-depth interviews with 16 business managers, and an analysis of Klein, G's (1998) "Generic Mental Simulation Model." The "intuition" discussed in this analysis is classified into two types of intuition: the Expert Intuition which is based on one's own experiences, and Strategic Intuition which is based on the experience of others. Case study strategic management intuition and intuition, the experts were utilized differently. Features of professional intuition to work quickly without any effort by, while the strategic intuition, is time-consuming. Another feature that has already occurred, one expert intuition in decision-making about the widely used strategic intuition was used a lot in future decision-making. The case study results revealed that managers were using expert intuition and strategic intuition differentially. More specifically, Expert Intuition was activated effortlessly, while strategic intuition required more time. Also, expert intuition was used mainly for making judgments about events that have already happened, while strategic intuition was used more often for judgments regarding events in the future. The process of strategic intuition involved (1) Strategic concerns, (2) the discovery of medium, (3) Primary mental simulation, (4) The offsetting of key parameters, (5) secondary mental simulation, and (6) the decision making process. These steps were used to develop the "Strategic Intuition Decision-making Model" for Venture and Small-Business Executives. The case study results further showed that firstly, the success of decision-making was determined in the "secondary mental simulation' stage, and secondly, that more difficulty in management was encountered when expert intuition was used more than strategic intuition and lastly strategic intuition is possible to be educated.

• Journal of the Korean School Mathematics Society
• /
• v.11 no.3
• /
• pp.363-376
• /
• 2008

This study is to understand intuition that is the tool of invention and the one factor of the creative thinking in mathematical education. For this, I examine the nature of intuition and the history of research about intuition. And I study the result of research about intuition in cognitive psychological perspectives. This study brings to a focus in informational processing model. Informational processing model is similar to the mathematical problem solving process that is expressed linear process. Recently, parallel distributed processing models try to understand the nature of intuition. But any models cannot adequately explain the nature and the phenomena of illumination of intuition. Some scholars try to examine the intuition in mathematical education. But systematic and practical research is rare. So, I suggest the mathematical educational implications about intuition. Conclusively, it is necessary to systematic concern in intuition and the methods of improvement of intuition in mathematical education.

• Journal of Elementary Mathematics Education in Korea
• /
• v.14 no.2
• /
• pp.197-215
• /
• 2010

Intuition plays an important role in the mathematical education as well as the process of invention in mathematics. And many mathematics educators became interested in intuition in mathematics education. So we need to analyze the effect of the characters of intuition of elementary students. In this study, the questionnaire and the interview were used. The subjects were 6 grade-103 students in the questionnaire. They were asked to solve the problems in the questionnaire which was designed by the researcher and to describe the reasons why they answered like that. Students are effected directly by the characters of intuition, ie self-evidence, intrinsic certainty, implicitness, etc. And the effect come from intuitive and ordinary experiences and the results of previous learning. In conclusion, we have to be interested in teaching via intuition and to control the effect of the characters of intuition.

• East Asian mathematical journal
• /
• v.27 no.4
• /
• pp.453-470
• /
• 2011

Arithmetic education is based not only on concept but also fundamentally on intuition. Pestalozzi understood time, a Kant's transcendental intuition, as numbers, a form of cognition, so that he considered intuition essential in arithmetic education. Pestalozzi and Herbart also recommended the intuitive arithmetic education. Significance of the arithmetic education based on intuition resides in the fact that arithmetic, an expression of nature and the world, is succeeded to modern arithmetic education because numbers, a cornerstone of mathematics, are symbolized as a law of mind reasoning.

• Journal of Educational Research in Mathematics
• /
• v.20 no.4
• /
• pp.511-528
• /
• 2010

Students' intuition in formal proof should be expressed as symbols according to the deductive process. The symbol will play a role of the mediation between the intuition and the formal proof. This study examined the evolution process of intuition mediated by the symbol in geometry proof. According to the results first, symbol took the great roles when students had the non-formed intuition for the proposition. The signification of symbols could explain even the proof process of the proposition with the non-expectable intuition. And when students proved it by symbols, not by figure nor words, they could evolute the conclusive intuition about the proposition.