• Journal for History of Mathematics
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• v.32 no.6
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• pp.281-299
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• 2019

Mathematical problem solving has become a major concern in school mathematics, and methods to enhance children's mathematical problem solving abilities have been the main topics in many mathematics education researches. In addition to previous researches about problem solving, the development of a mathematical problem solving method that enables children to establish mathematical concepts through problem solving, to discover formalized principles associated with concepts, and to apply them to real world situations needs. For this purpose, I examined the necessity of problem solving education and reviewed mathematical problem solving researches and problem solving models for giving the theoretical backgrounds. This study suggested the problem solving approach based on the intuitive and the formal inquiry which are the basis of mathematical discovery and inquiry process. And it is developed to keep the balance and complement of the conceptual understanding and the procedural understanding respectively. In addition, it consisted of problem posing to apply the mathematical principles in the application stage.

• Educational Technology International
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• v.10 no.2
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• pp.29-61
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• 2009

The purpose of this study was to design an inquiry supporting tool on wiki based collaborative learning and to investigate the effect of the inquiry supporting tool. Eight design principles were selected and more specified design strategies were made from the literatures. The first system with the first-round design principles was developed and implemented in an actual classroom. After the first field study, researcher found a few drawbacks of the system. The second system was implemented in the classroom again. Finally developed wiki-based inquiry supporting tool system is unique in that it allows instructors to design their own CSCL inquiry activities, and it has intuitive menu tabs showing inquiry learning processes.

• Journal of the Korean School Mathematics Society
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• v.1 no.1
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• pp.69-79
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• 1998

My suggestions to the teachers on the basis of my research are as follows: 1. A mathematical curriculum in high school requires an intuitive understanding. I'm sure we can not only improve the student's intuition and imagination by Euler's insight and intellectual investigation, but also induce motive and interest in mathematical learning by increasing the inquiry activities. Therefore, I suggest that we take advantage of teaching aids available from this research by processing the units in the mathematical textbook. 2. We can feel the beauty of mathematics by Euler's symbols and simple formulas. We must take pride in teaching mathematics because the mathematical insight is very useful in the inqury process. 3. We have to model ourselves after Euler's spirit of inquiry and energetic activities.

• Journal of The Korean Association For Science Education
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• v.41 no.2
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• pp.93-102
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• 2021

In this study, we investigated the characteristics of inquiry problems set by high school students who observed an 'unexpected phenomenon' and identified the effects of providing scientific information on setting inquiry problems. The subjects of this study were 126 eleventh grade students in Seoul that were randomly assigned to group A (N=66) and group B (N=60). In the study, watching a video of about 45 seconds of the unexpected phenomenon repeatedly for 20 minutes, all the students freely wrote inquiry problems that they wanted to carry out in their handouts. At this time, it is characterized that only the handout of group B additionally included scientific information on the unexpected phenomenon. As a result of the study, students, regardless of group, set more 'curiosity-oriented inquiry problems (i.e., focusing on inquiries they want to do rather than revealing what might be the cause of the phenomenon)' rather than going into a 'cause-oriented inquiry problem solving (i.e., revealing the cause of the phenomenon).' Among the curiosity-oriented inquiry problems, most of them were 'new-result inquiry problems (i.e., investigating what new results will occur by simply manipulating experimental situations).' It was also found that students who were provided with the scientific information tended to set significantly more inquiry problems using the provided information than those who were not (χ2(1)=8.996, p<.01), nevertheless the students with the scientific information did not set significantly more cause-oriented inquiry problems (χ2(1)=1.376, p>.05). The findings have been discussed from the four perspectives (i.e., lack of provided information, lack of opportunities to internalize the provided information, personal curiosity-seeking, and intuitive thinking), and implications for inquiry problem setting were suggested.

• Research in Mathematical Education
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• v.16 no.2
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• pp.137-154
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• 2012

Comparative studies on mathematical modeling cognition feature were carried out between 15 excellent high school third-grade science students (excellent students for short) and 15 normal ones (normal students for short) in China by utilizing protocol analysis and expert-novice comparison methods and our conclusions have been drawn as below. 1. In the style, span and method of mathematical modeling problem representation, both excellent and normal students adopted symbolic and methodological representation style. However, excellent students use mechanical representation style more often. Excellent students tend to utilize multiple-representation while normal students tend to utilize simplicity representation. Excellent students incline to make use of circular representation while normal students incline to make use of one-way representation. 2. In mathematical modeling strategy use, excellent students tend to tend to use equilibrium assumption strategy while normal students tend to use accurate assumption strategy. Excellent students tend to use sample analog construction strategy while normal students tend to use real-time generation construction strategy. Excellent students tend to use immediate self-monitoring strategy while normal students tend to use review-monitoring strategy. Excellent students tend to use theoretical deduction and intuitive judgment testing strategy while normal students tend to use data testing strategy. Excellent students tend to use assumption adjustment and modeling adjustment strategy while normal students tend to use model solving adjustment strategy. 3. In the thinking, result and efficiency of mathematical modeling, excellent students give brief oral presentations of mathematical modeling, express themselves more logically, analyze problems deeply and thoroughly, have multiple, quick and flexible thinking and the utilization of mathematical modeling method is shown by inspiring inquiry, more correct results and high thinking efficiency while normal students give complicated protocol material, express themselves illogically, analyze problems superficially and obscurely, have simple, slow and rigid thinking and the utilization of mathematical modeling method is shown by blind inquiry, more fixed and inaccurate thinking and low thinking efficiency.

• Journal of Science of Art and Design
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• v.6
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• pp.203-225
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• 2004

We are sure that Abakanowicz positively assumes a position of members, which are represented the later modern fabric design. In sprite of his pervasive evaluation, we have doubt about his achievement because the preceding research is insufficient about argumentsuch as dependence on intuitive emotion study, conventional analysis of structure and insufficient inquiry of causa efficiens. We agree that basic structure of is dissipation. Though right and left symmetrical structure is similar, also that structure is different. We can't decide whether structure is unification structure, difference structure or mixture structure . We think that the time of confusing argument of his structure is changing period for disorganization trend. The result of this study confirm the research possibility about space organization with restructure analysis and verification for examining essence structure of sample text . The Thesis are concern that the different between paradigmatic appearances and syntagmatic, which exist . So, we can approach the meaning of system and find dominent point about constructional relationship on the works. The meaning of dominent point is understood about sexless trend or Androgyne, which are appeared Abakanowicz forth work period. The relationship structure which is mixed both issue show that inner issue of work is located the highest position. The paper presents confusing manufacture system, which are suggested man-woman sex and mixed meaning. The other result of this study are, 1. being known as Abakan algorism, Abakanowicz has new drafting idiom from his ancient belief. 2. we need to research the body texture of Abakanowicz with the trend of restructure of body study. 3. we need argue about gender study in relative with poster moderntheology related problem of sexlessness people and perfect sex-people.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.3
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• pp.701-722
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• 2010

Students have to investigate, experiment and inquire using the manipulative materials and real-world thing for studying Geometry. Manipulative materials activities encourage to understand mathematical concept and connection of symbol. Experiment activities using the computer focused the student's intuitive and inquisitive activities because of visualization of an abstract mathematics concept. This study developed a workbook through the use of manipulative materials and computer for operating and experimenting, and suggested a method for inquiry of geometrical properties and proved an effect. Manipulative materials-experiment activities was proven effective to middle level and lower level students in understanding the geometrical properties, and was proven effective to high level and lower level students when it comes to mathematical communication ability. When students operate, at first, they have to know about the feature and information of the materials, and the teacher has to make an elaborate plan and encourages the students to discuss about this.

• Korean Institute of Interior Design Journal
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• v.15 no.6 s.59
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• pp.77-88
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• 2006

According to critics and architects, non-linear structure is not only an organic form of space, but also a form of space detached from modem style. Accordingly, non-linear structure can be accepted as an alternative to what has remained unsolved by deconstructionist. However, they are criticized for not clarifying the interdependent relationship between non-linearity of space and cognitive structure of human being. They ended up remaining the hypothesis just an intuitive and abstract one. This research began on the basis that their hypothesis is hard to be objectified, and it needs further inquiry. The purpose of this thesis is to explore how the redundant factors constitute non-linear structures of digital media centered space design. Geometric compositions of space structure were analyzed to define what types of redundant factors are contrived in the process of visual information. This study about the visual form, researching the Information Theory, and then offer a quantitative analysis that makes those more objective. Space structure and geometric composition were analyzed to define what types of redundancy are contrived in the process of visual information. In particular, I put higher theoretical emphasis on what characteristics are ensued in the process of structuring spaces than any other subjects. Followings are the conclusion of analysis. First, as a result of examining, we can assume that NOX' space structure is not a chaotic form, but has an operating the form of its own. Second, in case of curvilinear, the structure was found redundancy on mid deviation ratio and discontinuous circular fabric. Although most of their structures appeared complex with a higher coherent constant, they were found to be stable factors because of the low deviation ratio between systems. The amount of surplus information was stable structure as well.

• Journal of the HCI Society of Korea
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• v.14 no.2
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• pp.61-69
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• 2019

Recently, as a new ICT trend, emerging chatbots are actively introduced in the field of finance. Chatbot conducts services through the interaction of communication with users. The purpose of this study is to investigate the effect of interaction dialogue type on the efficiency, usability, sensibility and perceived security of financial service chatbot. Based on theoretical considerations, I have divided into closed conversation, open conversation, and mixed conversation type based on the conversation style based on the implementation method of chatbot. Three types of Financial Chatbot prototypes were made and the experiments were conducted after account inquiry, account transfer, Q & A financial task execution. As a result of experimental research analysis, chatbot's interaction dialogue type was found to affect efficiency and usability. Users have shown that the interaction of closed conversations and mixed conversations is an intuitive interface that allows financial services to be easily manipulated without error. This study will be used as a resource to improve the user experience that requires deep understanding of financial chatbot users who should consider both the emotional element of artificial intelligence that provides services through natural conversation and the functional elements that perform financial business can be.

• School Mathematics
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• v.8 no.4
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• pp.379-396
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• 2006

The purpose of this study is to analyze characteristics of problem solving in mathematics for gifted students through case study on solving the mathematical problem for gifted students, and to investigate what are relationships with the cognitive and affective characteristics. To this end, this study was to analyze the characteristics on the problem solving in mathematics by using qualitative research method after it selected two students who had specific education for brilliant students. As a result, this study has shown that it had high preference for question with clear answer, high preference for individual inquiry learning, high adhesion to answer for question, and high adhesion for assignment on characteristics of process of problem solving, but there was much difference in spirit of competition. As to the characteristics of thoughts in problem solving, this study has shown that it had high grasp capacity, intuitive insight, and capacity for visualization, but there were differences in capacity for generalization and adaptability. However, both two students had low values in deductive thought. In addition, as to the home environment and cognitive and affective characteristics, they were not related to the characteristics on problem solving directly, but it has shown that it affected each other indirectly. As to the conclusion of this study, this researcher thinks that it will be valuable documentation in order to improve curriculum, development of textbooks, and teaching method for special education for the gifted students and education for secondary mathematics.